sample_index stringlengths 1 4 | problem_index stringclasses 788
values | problem_version stringclasses 5
values | question stringlengths 0 1.31k | image imagewidth (px) 63 6.84k | answer stringclasses 340
values | question_type stringclasses 2
values | metadata dict | query_wo stringlengths 101 1.41k | query_cot stringlengths 138 1.45k | question_for_eval stringlengths 7 1.31k |
|---|---|---|---|---|---|---|---|---|---|---|
3701 | 741 | Text Dominant | A cylinder has a surface area of 54105 \mathrm{mm}^2 and a radius of 79 mm.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | 30 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A cylinder has a surface area of 54105 \mathrm{mm}^2 and a radius of 79 mm.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A cylinder has a surface area of 54105 \mathrm{mm}^2 and a radius of 79 mm.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | A cylinder has a surface area of 54105 \mathrm{mm}^2 and a radius of 79 mm.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | |
3702 | 741 | Text Lite | A cylinder has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | 30 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A cylinder has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A cylinder has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | A cylinder has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the cylinder be?
Round your answer to the nearest whole number. | |
3703 | 741 | Vision Intensive | The solid in diagram has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the solid be?
Round your answer to the nearest whole number. | 30 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The solid in diagram has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the solid be?
Round your answer to the nearest whole number. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The solid in diagram has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the solid be?
Round your answer to the nearest whole number. | The solid in diagram has a surface area of 54105 \mathrm{mm}^2.
What must the height h mm of the solid be?
Round your answer to the nearest whole number. | |
3704 | 741 | Vision Dominant | A cylinder has a surface area of 54105 mm$^2$.
What must the h mm of the cylinder be?
Round your answer to the nearest whole number. | 30 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A cylinder has a surface area of 54105 mm$^2$.
What must the h mm of the cylinder be?
Round your answer to the nearest whole number. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A cylinder has a surface area of 54105 mm$^2$.
What must the h mm of the cylinder be?
Round your answer to the nearest whole number. | A cylinder has a surface area of 54105 mm$^2$.
What must the h mm of the cylinder be?
Round your answer to the nearest whole number. | |
3705 | 741 | Vision Only | 30 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | A cylinder has a surface area of 54105 mm$^2$.
What must the h mm of the cylinder be?
Round your answer to the nearest whole number. | ||
3706 | 742 | Text Dominant | A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.
All the sides and top surfaces are to be covered in icing, ... | 33929 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three ti... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and t... | A wedding cake consists of three cylinders stacked on top of each other. The top layer has a radius and height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.
All the sides and top surfaces are to be covered in icing, ... | |
3707 | 742 | Text Lite | A wedding cake consists of three cylinders stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.
All the sides and top surfaces are to be covered in icing, but not the... | 33929 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A wedding cake consists of three cylinders stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big,... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A wedding cake consists of three cylinders stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom l... | A wedding cake consists of three cylinders stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.
All the sides and top surfaces are to be covered in icing, but not the... | |
3708 | 742 | Vision Intensive | A wedding cake consists of three solids stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.
All the sides and top surfaces are to be covered in icing, but not the bo... | 33929 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A wedding cake consists of three solids stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, an... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A wedding cake consists of three solids stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom laye... | A wedding cake consists of three solids stacked on top of each other. The top layer has a height of 20 cm, the middle layer has a radius double this, and the same height and the bottom layer has a radius three times as big, and is twice as high.
All the sides and top surfaces are to be covered in icing, but not the bo... | |
3709 | 742 | Vision Dominant | A wedding cake consists of three cylinders stacked on top of each other. The middle layer has a radius double of the top layer, and the bottom layer has a radius three times as big.
All the sides and top surfaces are to be covered in icing, but not the bottom.
What is the surface area of the cake that needs to be ice... | 33929 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A wedding cake consists of three cylinders stacked on top of each other. The middle layer has a radius double of the top layer, and the bottom layer has a radius three times as big.
All the sides and top surfaces are to be co... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A wedding cake consists of three cylinders stacked on top of each other. The middle layer has a radius double of the top layer, and the bottom layer has a radius three times as big.
All th... | A wedding cake consists of three cylinders stacked on top of each other. The middle layer has a radius double of the top layer, and the bottom layer has a radius three times as big.
All the sides and top surfaces are to be covered in icing, but not the bottom.
What is the surface area of the cake that needs to be ice... | |
3710 | 742 | Vision Only | 33929 \mathrm{cm}^2 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Area"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | A wedding cake consists of three cylinders stacked on top of each other. The middle layer has a radius double of the top layer, and the bottom layer has a radius three times as big.
All the sides and top surfaces are to be covered in icing, but not the bottom.
What is the surface area of the cake that needs to be ice... | ||
3711 | 743 | Text Dominant | A square pyramid is shown with the following dimensions, splitted by a middle base. Length of middle base is 8, height of upper square pyramid is 2x+3, height of whole square pyramid is 6x+9.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | 24 units | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A square pyramid is shown with the following dimensions, splitted by a middle base. Length of middle base is 8, height of upper square pyramid is 2x+3, height of whole square pyramid is 6x+9.
Find an expression for the length... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A square pyramid is shown with the following dimensions, splitted by a middle base. Length of middle base is 8, height of upper square pyramid is 2x+3, height of whole square pyramid is 6x+... | A square pyramid is shown with the following dimensions, splitted by a middle base. Length of middle base is 8, height of upper square pyramid is 2x+3, height of whole square pyramid is 6x+9.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | |
3712 | 743 | Text Lite | A square pyramid is shown with the following dimensions. Height of the square pyramid is 6x+9.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | 24 units | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A square pyramid is shown with the following dimensions. Height of the square pyramid is 6x+9.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A square pyramid is shown with the following dimensions. Height of the square pyramid is 6x+9.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | A square pyramid is shown with the following dimensions. Height of the square pyramid is 6x+9.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | |
3713 | 743 | Vision Intensive | A solid is shown with the following dimensions. Height of the solid is 6x+9.
Find an expression for the length L of the base of the solid in terms of the variable, x. | 24 units | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A solid is shown with the following dimensions. Height of the solid is 6x+9.
Find an expression for the length L of the base of the solid in terms of the variable, x. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A solid is shown with the following dimensions. Height of the solid is 6x+9.
Find an expression for the length L of the base of the solid in terms of the variable, x. | A solid is shown with the following dimensions. Height of the solid is 6x+9.
Find an expression for the length L of the base of the solid in terms of the variable, x. | |
3714 | 743 | Vision Dominant | A square pyramid is shown with the following dimensions.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | 24 units | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A square pyramid is shown with the following dimensions.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A square pyramid is shown with the following dimensions.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | A square pyramid is shown with the following dimensions.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | |
3715 | 743 | Vision Only | 24 units | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | A square pyramid is shown with the following dimensions.
Find an expression for the length L of the base of the pyramid in terms of the variable, x. | ||
3716 | 744 | Text Dominant | The volume of a cylinder that fits exactly into a sphere is given by the formula:
V=\frac{1}{4}\pi h\left(4r^2-h^2\right)
where r is the radius of the sphere and h is the height of the cylinder.
What is the radius of the sphere if the volume of the cylinder is 13.75\pi cm3 and the height of the cylinder is 5 cm? | 3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The volume of a cylinder that fits exactly into a sphere is given by the formula:
V=\frac{1}{4}\pi h\left(4r^2-h^2\right)
where r is the radius of the sphere and h is the height of the cylinder.
What is the radius of the sp... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The volume of a cylinder that fits exactly into a sphere is given by the formula:
V=\frac{1}{4}\pi h\left(4r^2-h^2\right)
where r is the radius of the sphere and h is the height of the cy... | The volume of a cylinder that fits exactly into a sphere is given by the formula:
V=\frac{1}{4}\pi h\left(4r^2-h^2\right)
where r is the radius of the sphere and h is the height of the cylinder.
What is the radius of the sphere if the volume of the cylinder is 13.75\pi cm3 and the height of the cylinder is 5 cm? | |
3717 | 744 | Text Lite | Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm3. | 3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm3. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm3. | Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm3. | |
3718 | 744 | Vision Intensive | Calculate the radius of the sphere shown in figure with the volume of the inside solid 13.75\pi cm3. | 3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Calculate the radius of the sphere shown in figure with the volume of the inside solid 13.75\pi cm3. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Calculate the radius of the sphere shown in figure with the volume of the inside solid 13.75\pi cm3. | Calculate the radius of the sphere shown in figure with the volume of the inside solid 13.75\pi cm3. | |
3719 | 744 | Vision Dominant | Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm$^3$. | 3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm$^3$. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm$^3$. | Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm$^3$. | |
3720 | 744 | Vision Only | 3 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Calculate the radius of the sphere shown in figure with the volume of the cylinder 13.75\pi cm$^3$. | ||
3721 | 745 | Text Dominant | A soft drink can has a height of 13 cm and a radius of 3 cm. Find L, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can). Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | 14 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A soft drink can has a height of 13 cm and a radius of 3 cm. Find L, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can).
Give your answer rounded down to... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A soft drink can has a height of 13 cm and a radius of 3 cm. Find L, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the ca... | A soft drink can has a height of 13 cm and a radius of 3 cm. Find L, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can). Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | |
3722 | 745 | Text Lite | The height is 13 cm. Find L. Give your answer rounded down to the nearest cm. | 14 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find L.
Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find L.
Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | The height is 13 cm. Find L. Give your answer rounded down to the nearest cm. | |
3723 | 745 | Vision Intensive | The height is 13 cm. Find L. Give your answer rounded down to the nearest cm. | 14 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find L.
Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find L.
Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | The height is 13 cm. Find L. Give your answer rounded down to the nearest cm. | |
3724 | 745 | Vision Dominant | Find L. Give your answer rounded down to the nearest cm. | 14 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Find L.
Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Find L.
Give your answer rounded down to the nearest cm, to ensure it fits inside the can. | Find L. Give your answer rounded down to the nearest cm. | |
3725 | 745 | Vision Only | 14 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Find L. Give your answer rounded down to the nearest cm. | ||
3726 | 746 | Text Dominant | Consider the triangular prism below. Lengths of AB, CF are 10, 4, 15. EX and XF have same length.
Find the length of CX correct to two decimal places. | 15.81 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the triangular prism below. Lengths of AB, CF are 10, 4, 15. EX and XF have same length.
Find the length of CX correct to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the triangular prism below. Lengths of AB, CF are 10, 4, 15. EX and XF have same length.
Find the length of CX correct to two decimal places. | Consider the triangular prism below. Lengths of AB, CF are 10, 4, 15. EX and XF have same length.
Find the length of CX correct to two decimal places. | |
3727 | 746 | Text Lite | Consider the triangular prism below. Lengths of BC is 4. EX and XF have same length.
Find the length of CX correct to two decimal places. | 15.81 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the triangular prism below. Lengths of BC is 4. EX and XF have same length.
Find the length of CX correct to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the triangular prism below. Lengths of BC is 4. EX and XF have same length.
Find the length of CX correct to two decimal places. | Consider the triangular prism below. Lengths of BC is 4. EX and XF have same length.
Find the length of CX correct to two decimal places. | |
3728 | 746 | Vision Intensive | Consider the solid below. Lengths of BC is 4.
Find the length of CX correct to two decimal places. | 15.81 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the solid below. Lengths of BC is 4.
Find the length of CX correct to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the solid below. Lengths of BC is 4.
Find the length of CX correct to two decimal places. | Consider the solid below. Lengths of BC is 4.
Find the length of CX correct to two decimal places. | |
3729 | 746 | Vision Dominant | Consider the triangular prism below. EX and XF have same length.
Find the length of CX correct to two decimal places. | 15.81 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the triangular prism below. EX and XF have same length.
Find the length of CX correct to two decimal places. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the triangular prism below. EX and XF have same length.
Find the length of CX correct to two decimal places. | Consider the triangular prism below. EX and XF have same length.
Find the length of CX correct to two decimal places. | |
3730 | 746 | Vision Only | 15.81 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Consider the triangular prism below. EX and XF have same length.
Find the length of CX correct to two decimal places. | ||
3731 | 747 | Text Dominant | All edges of the following cube are 7 cm long.
Find the exact length of AG in simplest surd form. | \sqrt{147} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: All edges of the following cube are 7 cm long.
Find the exact length of AG in simplest surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: All edges of the following cube are 7 cm long.
Find the exact length of AG in simplest surd form. | All edges of the following cube are 7 cm long.
Find the exact length of AG in simplest surd form. | |
3732 | 747 | Text Lite | All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | \sqrt{147} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | |
3733 | 747 | Vision Intensive | All edges of the following solid have the same length.
Find the exact length of AG in simplest surd form. | \sqrt{147} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: All edges of the following solid have the same length.
Find the exact length of AG in simplest surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: All edges of the following solid have the same length.
Find the exact length of AG in simplest surd form. | All edges of the following solid have the same length.
Find the exact length of AG in simplest surd form. | |
3734 | 747 | Vision Dominant | All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | \sqrt{147} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | |
3735 | 747 | Vision Only | \sqrt{147} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | All edges of the following cube have the same length.
Find the exact length of AG in simplest surd form. | ||
3736 | 748 | Text Dominant | The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
Find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | 23.41 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
Find the length of VW, the perpendicular height ... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
Find the le... | The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
The edge length VA is 26cm.
Find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | |
3737 | 748 | Text Lite | The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | 23.41 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height of the pyramid correct to tw... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicula... | The following is a right pyramid on a square base with side length 16cm. A right pyramid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | |
3738 | 748 | Vision Intensive | The following is a solid on a square base with side length 16cm. A right solid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height of the solid correct to two decimal places. | 23.41 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following is a solid on a square base with side length 16cm. A right solid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height of the solid correct to two decimal pl... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following is a solid on a square base with side length 16cm. A right solid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height o... | The following is a solid on a square base with side length 16cm. A right solid has its apex aligned directly above the centre of its base.
Find the length of VW, the perpendicular height of the solid correct to two decimal places. | |
3739 | 748 | Vision Dominant | The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | 23.41 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid co... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the p... | The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | |
3740 | 748 | Vision Only | 23.41 | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.
Use your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places. | ||
3741 | 749 | Text Dominant | A rectangular prism has dimensions as labelled on the diagram. The length, width and height are 9, 4, 5.
Find the length of AG. Leave your answer in surd form. | \sqrt{122} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A rectangular prism has dimensions as labelled on the diagram. The length, width and height are 9, 4, 5.
Find the length of AG. Leave your answer in surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A rectangular prism has dimensions as labelled on the diagram. The length, width and height are 9, 4, 5.
Find the length of AG. Leave your answer in surd form. | A rectangular prism has dimensions as labelled on the diagram. The length, width and height are 9, 4, 5.
Find the length of AG. Leave your answer in surd form. | |
3742 | 749 | Text Lite | A rectangular prism has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | \sqrt{122} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A rectangular prism has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A rectangular prism has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | A rectangular prism has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | |
3743 | 749 | Vision Intensive | A solid has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | \sqrt{122} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A solid has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A solid has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | A solid has dimensions as labelled on the diagram. The height is 5.
Find the length of AG. Leave your answer in surd form. | |
3744 | 749 | Vision Dominant | A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | \sqrt{122} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | |
3745 | 749 | Vision Only | \sqrt{122} | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | A rectangular prism has dimensions as labelled on the diagram.
Find the length of AG. Leave your answer in surd form. | ||
3746 | 750 | Text Dominant | Consider the following figure. The base is a triangle with two side of the same length 10cm and one side of length 12cm. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | $x=8 \mathrm{~cm}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the following figure. The base is a triangle with two side of the same length 10cm and one side of length 12cm. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangula... | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the following figure. The base is a triangle with two side of the same length 10cm and one side of length 12cm. The height of the prism is 16cm.
Use Pythagoras' Theorem to find th... | Consider the following figure. The base is a triangle with two side of the same length 10cm and one side of length 12cm. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | |
3747 | 750 | Text Lite | Consider the following figure. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | $x=8 \mathrm{~cm}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the following figure. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the following figure. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | Consider the following figure. The height of the prism is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | |
3748 | 750 | Vision Intensive | Consider the following figure. The height of the solid is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the solid shown. | $x=8 \mathrm{~cm}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the following figure. The height of the solid is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the solid shown. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the following figure. The height of the solid is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the solid shown. | Consider the following figure. The height of the solid is 16cm.
Use Pythagoras' Theorem to find the unknown height $x$ in the solid shown. | |
3749 | 750 | Vision Dominant | Consider the following figure.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | $x=8 \mathrm{~cm}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Consider the following figure.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Consider the following figure.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | Consider the following figure.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | |
3750 | 750 | Vision Only | $x=8 \mathrm{~cm}$ | free-form | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end. | Consider the following figure.
Use Pythagoras' Theorem to find the unknown height $x$ in the triangular prism shown. | ||
3751 | 751 | Text Dominant | In the cylindrical tube shown above, the height of the tube is 30 and the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | C | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the cylindrical tube shown above, the height of the tube is 30 and the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length ... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the cylindrical tube shown above, the height of the tube is 30 and the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to ... | In the cylindrical tube shown above, the height of the tube is 30 and the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | |
3752 | 751 | Text Lite | In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | C | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the neares... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the len... | In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | |
3753 | 751 | Vision Intensive | In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | C | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$... | In the tube shown above, the circumference of the base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a surface, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | |
3754 | 751 | Vision Dominant | In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | C | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the neares... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the len... | In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | |
3755 | 751 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In the cylindrical tube shown above, the circumference of the circular base is 32 . If the tube is cut along $\overline{A B}$ and laid out flat to make a rectangle, what is the length of $\overline{A C}$ to the nearest whole number?
Choices:
A:24
B:30
C:34
D:38 | ||
3756 | 752 | Text Dominant | The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | A | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is ... | The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | |
3757 | 752 | Text Lite | The figure above shows a triangular prism with height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | A | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure above shows a triangular prism with height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure above shows a triangular prism with height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | The figure above shows a triangular prism with height $\sqrt{3} x$. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | |
3758 | 752 | Vision Intensive | The figure above shows a solid with height $\sqrt{3} x$. If the volume of the solid is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | A | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure above shows a solid with height $\sqrt{3} x$. If the volume of the solid is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure above shows a solid with height $\sqrt{3} x$. If the volume of the solid is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | The figure above shows a solid with height $\sqrt{3} x$. If the volume of the solid is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | |
3759 | 752 | Vision Dominant | The figure above shows a triangular prism. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | A | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure above shows a triangular prism. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure above shows a triangular prism. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | The figure above shows a triangular prism. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | |
3760 | 752 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | The figure above shows a triangular prism. If the volume of the prism is $\frac{81}{4}$, what is the value of $x$ ?
Choices:
A:3
B:4
C:5
D:6 | ||
3761 | 753 | Text Dominant | In the figure shown above, the rectangular container has length, width and height of 6, 5, and 4, and the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the ... | D | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure shown above, the rectangular container has length, width and height of 6, 5, and 4, and the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water ... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure shown above, the rectangular container has length, width and height of 6, 5, and 4, and the cylinder has radius of 3. If all the water in the rectangular container is... | In the figure shown above, the rectangular container has length, width and height of 6, 5, and 4, and the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the ... | |
3762 | 753 | Text Lite | In the figure shown above, the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | D | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure shown above, the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is th... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure shown above, the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$... | In the figure shown above, the cylinder has radius of 3. If all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | |
3763 | 753 | Vision Intensive | In the figure shown above, the left container has radius of 3. If all the water in the right container is poured into the left container, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | D | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure shown above, the left container has radius of 3. If all the water in the right container is poured into the left container, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure shown above, the left container has radius of 3. If all the water in the right container is poured into the left container, the water level rises from $h$ inches to $... | In the figure shown above, the left container has radius of 3. If all the water in the right container is poured into the left container, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | |
3764 | 753 | Vision Dominant | In the figure shown above, if all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | D | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure shown above, if all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the va... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure shown above, if all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the followin... | In the figure shown above, if all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | |
3765 | 753 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "Geo3D_collected",
"subject": "Solid Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In the figure shown above, if all the water in the rectangular container is poured into the cylinder, the water level rises from $h$ inches to $(h+x)$ inches. Which of the following is the best approximation of the value of $x$ ?
Choices:
A:3
B:3.4
C:3.8
D:4.2 | ||
3766 | 754 | Text Dominant | In the figure above, there is a triangle and two line segments in the figure, and the angle formed by the two segments is x. The two angles labeled in the figure are 55° and 75° respectively. What is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, there is a triangle and two line segments in the figure, and the angle formed by the two segments is x. The two angles labeled in the figure are 55° and 75° respectively. What is the value of x?
C... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, there is a triangle and two line segments in the figure, and the angle formed by the two segments is x. The two angles labeled in the figure are 55° and 75° re... | In the figure above, there is a triangle and two line segments in the figure, and the angle formed by the two segments is x. The two angles labeled in the figure are 55° and 75° respectively. What is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | |
3767 | 754 | Text Lite | In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | |
3768 | 754 | Vision Intensive | In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130 | |
3769 | 754 | Vision Dominant | In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130
| C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130
| Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130
| In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130
| |
3770 | 754 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In the figure above, what is the value of x?
Choices:
A.35
B.40
C.50
D.65
E.130
| ||
3771 | 755 | Text Dominant | The figure above shows six right triangles. They are put together to form an irregular figure. What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: The figure above shows six right triangles. They are put together to form an irregular figure. What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The figure above shows six right triangles. They are put together to form an irregular figure. What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 2... | The figure above shows six right triangles. They are put together to form an irregular figure. What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | |
3772 | 755 | Text Lite | What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | |
3773 | 755 | Vision Intensive | What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72) | |
3774 | 755 | Vision Dominant | What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72)
| A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72)
| Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72)
| What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72)
| |
3775 | 755 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | What is the value of x^2 + y^2?
Choices:
A.21
B.27
C.33
D.\sqrt{593} (approximately 24.35)
E.\sqrt{611} (approximately 24.72)
| ||
3776 | 756 | Text Dominant | In quadrilateral PQRS above, the length of QR is 3 and the length of SR is 4. Angle P and angle R are right angles. The length of QP and PS are respectively a and b. What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In quadrilateral PQRS above, the length of QR is 3 and the length of SR is 4. Angle P and angle R are right angles. The length of QP and PS are respectively a and b. What is the value of a^2 + b^2?
Choices:
A.8
B.10
C... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In quadrilateral PQRS above, the length of QR is 3 and the length of SR is 4. Angle P and angle R are right angles. The length of QP and PS are respectively a and b. What is the va... | In quadrilateral PQRS above, the length of QR is 3 and the length of SR is 4. Angle P and angle R are right angles. The length of QP and PS are respectively a and b. What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | |
3777 | 756 | Text Lite | What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | |
3778 | 756 | Vision Intensive | What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13 | |
3779 | 756 | Vision Dominant | What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13
| E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13
| Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13
| What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13
| |
3780 | 756 | Vision Only | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | What is the value of a^2 + b^2?
Choices:
A.8
B.10
C.11
D.12
E.13
| ||
3781 | 757 | Text Dominant | In the figure above, point O lies on line AB. There are four angles in the figure, which are \frac{x}{6}, \frac{x}{4}, \frac{x}{3}, and \frac{x}{2}. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, point O lies on line AB. There are four angles in the figure, which are \frac{x}{6}, \frac{x}{4}, \frac{x}{3}, and \frac{x}{2}. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, point O lies on line AB. There are four angles in the figure, which are \frac{x}{6}, \frac{x}{4}, \frac{x}{3}, and \frac{x}{2}. What is the value of x?
Choices... | In the figure above, point O lies on line AB. There are four angles in the figure, which are \frac{x}{6}, \frac{x}{4}, \frac{x}{3}, and \frac{x}{2}. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | |
3782 | 757 | Text Lite | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | |
3783 | 757 | Vision Intensive | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168 | |
3784 | 757 | Vision Dominant | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168
| C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168
| Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168
| In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168
| |
3785 | 757 | Vision Only | C | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In the figure above. What is the value of x?
Choices:
A.90
B.120
C.144
D.156
E.168
| ||
3786 | 758 | Text Dominant | In triangle ABC above, the bisector of angle BAC is perpendicular to BC at point D. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In triangle ABC above, the bisector of angle BAC is perpendicular to BC at point D. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\de... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle ABC above, the bisector of angle BAC is perpendicular to BC at point D. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angl... | In triangle ABC above, the bisector of angle BAC is perpendicular to BC at point D. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | |
3787 | 758 | Text Lite | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degr... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree... | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | |
3788 | 758 | Vision Intensive | In triangle ABC above. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In triangle ABC above. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle ABC above. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | In triangle ABC above. If AB = 6 and BD = 3, what is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | |
3789 | 758 | Vision Dominant | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. What is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. What is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. What is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\de... | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. What is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | |
3790 | 758 | Vision Only | D | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. What is the measure of angle BAC?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.75*\degree | ||
3791 | 759 | Text Dominant | In the figure above, three lines intersect at a point. The graph consists of the intersection of three lines, two of the angles are y°, and one of the angles is 50°. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, three lines intersect at a point. The graph consists of the intersection of three lines, two of the angles are y°, and one of the angles is 50°. What is the value of y?
Choices:
A.65
B.70
C.75
D.8... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, three lines intersect at a point. The graph consists of the intersection of three lines, two of the angles are y°, and one of the angles is 50°. What is the va... | In the figure above, three lines intersect at a point. The graph consists of the intersection of three lines, two of the angles are y°, and one of the angles is 50°. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | |
3792 | 759 | Text Lite | In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | |
3793 | 759 | Vision Intensive | In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85 | |
3794 | 759 | Vision Dominant | In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85
| A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85
| Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85
| In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85
| |
3795 | 759 | Vision Only | A | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Angle"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | In the figure above. What is the value of y?
Choices:
A.65
B.70
C.75
D.80
E.85
| ||
3796 | 760 | Text Dominant | In the figure above, the circle has center P and radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, the circle has center P and radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the circle has center P and radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the mea... | In the figure above, the circle has center P and radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | |
3797 | 760 | Text Lite | In the figure above, the circle has radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, the circle has radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the circle has radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle... | In the figure above, the circle has radius r. Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | |
3798 | 760 | Vision Intensive | In the figure above, the circle has radius r. What is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In the figure above, the circle has radius r. What is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In the figure above, the circle has radius r. What is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | In the figure above, the circle has radius r. What is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5} | |
3799 | 760 | Vision Dominant | Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5}
| E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r... | Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of s... | Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5}
| |
3800 | 760 | Vision Only | E | multi-choice | {
"split": "testmini",
"source": "GEOS",
"subject": "Plane Geometry",
"subfield": "Length"
} | According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D. | According to the question shown in the image, please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end. | Lines AB and AC are tangent to the circle. If M is the midpoint of segment AC and the measure of angle PMC equals the measure of angle MPC, what is the length, in terms of r, of segment PA?
Choices:
A.r + 1
B.2*r
C.r*\sqrt{2}
D.r*\sqrt{3}
E.r*\sqrt{5}
|
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