category stringclasses 3
values | subcategory stringclasses 18
values | question stringlengths 4 629 | answer float64 -273,260,096,089 713,712,038B | reasoning stringlengths 9 516 ⌀ | source stringclasses 6
values |
|---|---|---|---|---|---|
Geometry | geometry | the diagonals of a rhombus are 11 cm and 20 cm . find its area ? | 110 | n0 = 11.0
n1 = 20.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 84 ounces of this substance ? | 36 | n0 = 48.0
n1 = 112.0
n2 = 84.0
t0 = n0 / n1
answer = n2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 19 inches than that of a rectangular sheet of paper measuring 9.5 inches by 11 inches ? | 100 | n0 = 11.0
n1 = 19.0
n2 = 9.5
n3 = 11.0
t0 = n0 * n1 # area of rectangle
t1 = n0 * n2 # area of rectangle
t2 = t0 * 2.0
t3 = t1 * 2.0
t4 = t2 - t3
t5 = t4 / t0
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ? | 5 | n0 = 40.0
n1 = 25.0
t0 = n0 + 100.0
t1 = 100.0 * 100.0
t2 = 100.0 - n1
t3 = t0 * t2
t4 = t3 - t1
t5 = t4 / t1
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a square are multiplied by sqrt ( 5 ) , the area of the original square is how many times as large as the area of the resultant square ? | 20 | n0 = 5.0
answer = 4 * n0
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of an equilateral triangle is 45 . if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle . | 10 | n0 = 45.0
n1 = 40.0
t0 = n0 / 3.0
t1 = n1 - t0
answer = t1 - t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a rectangular field is equal to 50 square meters . its perimeter is equal to 30 meters . find the width of this rectangle . | 5 | import math
n0 = 50.0
n1 = 30.0
t0 = n1 / 2.0
t1 = n0 * 4.0
t2 = t0 * t0
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = t0 - t4
answer = t5 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | three rugs have a combined area of 212 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? | 24 | n0 = 212.0
n1 = 140.0
n2 = 24.0
t0 = n0 - n1
t1 = t0 - n2
answer = t1 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ? | 100 | n0 = 11.0
n1 = 13.0
n2 = 6.5
n3 = 11.0
t0 = n0 * n1 # area of rectangle
t1 = n0 * n2 # area of rectangle
t2 = t0 * 2.0
t3 = t1 * 2.0
t4 = t2 - t3
t5 = t4 / t0
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the total surface area in square meters of a rectangular solid whose length is 6 meters , width is 5 meters , and depth is 2 meters ? | 104 | n0 = 6.0
n1 = 5.0
n2 = 2.0
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
print(answer) | MathQA_Geometry |
Geometry | geometry | the mass of 1 cubic meter of a substance is 300 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) | 3.333333 | n0 = 1.0
n1 = 300.0
n2 = 1.0
n3 = 1.0
n4 = 1000.0
n5 = 1.0
n6 = 1.0
n7 = 0.0
t0 = n4 * n4
t1 = n1 * n4
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the floor of a rectangular room is 17 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : | 132 | n0 = 17.0
n1 = 12.0
n2 = 2.0
t0 = n2 * n2
t1 = n0 * n1 # area of rectangle
t2 = n0 + t0
t3 = n1 + t0
t4 = t2 * t3 # area of rectangle
answer = t4 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a volume of 10996 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? | 2,749 | n0 = 10996.0
n1 = 4.0
answer = n0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | a box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? | 80 | n0 = 30.0
n1 = 48.0
n2 = 12.0
t0 = n2 / 2.0
t1 = n0 * n1
t2 = n2 * t1
t3 = t0**3
answer = t2 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult . how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ? | 3 | n0 = 1.0
n1 = 0.75
n2 = 3.25
t0 = n0 * n2
t1 = t0 * 2.0
t2 = t1 - 0.25
t3 = t2 - 0.25
t4 = n0 + t3
answer = t4 - 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the edge of a cube is 5 a cm . find its surface ? | 150 | n0 = 5.0
answer = 6 * n0**2 # surface of a cube
print(answer) | MathQA_Geometry |
Geometry | geometry | a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is : | 3 | n0 = 6.0
n1 = 3.0
n2 = 6.0
t0 = n0 * n1
answer = t0 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of square field whose side of length 7 m ? | 49 | n0 = 7.0
answer = n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | in how many r ways can 5 people from a group of 6 people be seated around a circular table | 144 | import math
n0 = 5.0
n1 = 6.0
t0 = n0 - 1.0
t1 = math.factorial(min(15, int(t0)))
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a rectangular plot is 360 square metres . if the length is 25 % less than the breadth , what is the breadth of the plot ? | 21.908902 | import math
n0 = 360.0
n1 = 25.0
t0 = n1 / 100.0
t1 = 1.0 - t0
t2 = n0 / t1
answer = math.sqrt(max(0, t2))
print(answer) | MathQA_Geometry |
Geometry | geometry | if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches , then the face of greatest area is of what area ? | 15 | n0 = 5.0
n1 = 2.0
n2 = 3.0
answer = n0 * n2 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 9 , what is the measure of side xy ? | 6 | import math
n0 = 9.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, 2.0))
t2 = t0 * t1
t3 = t2**min(2.0, 5)
t4 = t3 + t3
answer = math.sqrt(max(0, t4))
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonal of a square is 40 m . the area of the square is : | 800 | n0 = 40.0
t0 = n0**min(2.0, 5)
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is 3 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ? | 48 | n0 = 3.0
n1 = 4.0
t0 = n0 * n1
answer = n1 * t0 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 65 , then how long is the base of isosceles triangle ? | 25 | n0 = 60.0
n1 = 65.0
t0 = n0 / 3.0
t1 = n1 - t0
answer = t1 - t0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the circumference and area of radius 11 cm . | 380.132711 | import math
n0 = 11.0
answer = math.pi * n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ? | 40 | n0 = 5.0
n1 = 5.0
n2 = 75.0
t0 = n0 * n0
t1 = n0 * 2.0
t2 = n2 + t0
t3 = t1 - n0
t4 = t2 / t3
answer = t4 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a rectangle are increased by 25 % , what is the percentage increase in the area ? | 56.25 | n0 = 25.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = t1**min(2.0, 5)
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the sides of two cubes are in the ratio 5 : 1 , what is the ratio of their total surface area ? | 25 | n0 = 5.0
n1 = 1.0
answer = n0 * n0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 99 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ? | 126 | n0 = 99.0
n1 = 37.0
t0 = 3.0 * 3.0
t1 = n1 - t0
t2 = t1 / 2.0
answer = t2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm . | 956.614963 | n0 = 7.0
n1 = 40.0
t0 = n0 / 2.0
t1 = n0 * 3.141592653589793
t2 = n1 * t1
t3 = t0**min(2.0, 5)
t4 = t3 * 3.141592653589793
t5 = t4 * 2.0
answer = t5 + t2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the volume of the cube is 729 cm 3 , then the surface area of the cube will be | 486 | n0 = 729.0
n1 = 3.0
t0 = n0**(1 / 3)
answer = 6 * t0**2 # surface of a cube
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm . what is the area of the triangle ? | 29.25 | n0 = 39.0
n1 = 1.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | a steel vessel has a base of length 60 cm and breadth 30 cm . water is poured in the vessel . a cubical steel box having edge of 30 cm is immersed completely in the vessel . how much will the water rise ? | 15 | n0 = 60.0
n1 = 30.0
n2 = 30.0
t0 = n0 * n1
t1 = n1**min(3.0, 5)
answer = t1 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 24 cm and height 10 cm ? | 240 | n0 = 24.0
n1 = 10.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the average length of the sides of triangle abc is 12 . what is the perimeter of triangle abc ? | 36 | n0 = 12.0
answer = n0 * 3.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a crate measures 2 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still... | 2 | n0 = 2.0
n1 = 8.0
n2 = 12.0
t0 = n1 * n2
t1 = n0 * t0
t2 = t1 / n2
answer = t2 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of one face of a cube is 32 cm . its volume will be : | 512 | n0 = 32.0
t0 = n0 / 4. # square edge given perimeter
answer = t0**3
print(answer) | MathQA_Geometry |
Geometry | geometry | a certain cube floating in a bucket of water has between 60 and 85 percent of its volume below the surface of the water . if between 9 and 26 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately | 4.020726 | n0 = 60.0
n1 = 85.0
n2 = 9.0
n3 = 26.0
t0 = n3 * 100.0
t1 = 100.0 - n0
t2 = t0 / t1
answer = t2**(1 / 3)
print(answer) | MathQA_Geometry |
Geometry | geometry | all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes have no faces coloured ? | 8 | n0 = 64.0
t0 = n0 / 4.0
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m 3 ) is : | 5,184 | n0 = 48.0
n1 = 36.0
n2 = 6.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | a 6 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ? | 0.666667 | n0 = 6.0
n1 = 1.0
t0 = 4 * n1
answer = t0 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of rectangle is thrice its breadth and its perimeter is 48 m , find the area of the rectangle ? | 108 | n0 = 48.0
t0 = 2.0 * 3.0
t1 = 1.0 * 2.0
t2 = t0 + t1
t3 = n0 / t2
t4 = t3 * 3.0
answer = t3 * t4
print(answer) | MathQA_Geometry |
Geometry | geometry | the mass of 1 cubic meter of a substance is 100 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) | 10 | n0 = 1.0
n1 = 100.0
n2 = 1.0
n3 = 1.0
n4 = 1000.0
n5 = 1.0
n6 = 1.0
n7 = 0.0
t0 = n4 * n4
t1 = n1 * n4
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the circumference and area of radius 6 cm . | 113.097336 | import math
n0 = 6.0
answer = math.pi * n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length and breadth of a rectangular room are each increased by 1 m , then the area of floor is increased by 21 sq . m . if the length is creased by 1 m and breadth is decreased by 1 m , then the area is decreased by 5 sq . m . the perimeter of the floor is : | 40 | n0 = 1.0
n1 = 21.0
n2 = 1.0
n3 = 1.0
n4 = 5.0
t0 = n1 - n4
t1 = n1 - n0
t2 = t0 / 2.0
t3 = t1 - t2
answer = 2 * (t2 + t3) # perimetere of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | the slant height of a cone is 20 cm and radius of the base is 10 cm , find the curved surface of the cone . | 628.318531 | n0 = 20.0
n1 = 10.0
t0 = n1 * 3.141592653589793
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 26 cm and height 16 cm ? | 416 | n0 = 26.0
n1 = 16.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is increased by 45 % and its breadth is decreased by 20 % . what is the effect on its area ? | 11,600 | n0 = 45.0
n1 = 20.0
t0 = n0 + 100.0
t1 = 100.0 - n1
answer = t0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular paper when folded into two congruent parts had a perimeter of 34 cm foer each part folded along one set of sides and the same is 38 cm . when folded along the other set of sides . what is the area of the paper ? | 140 | n0 = 34.0
n1 = 38.0
t0 = 10.0 * 2.0
t1 = n0 - t0
answer = t1 * 10.0
print(answer) | MathQA_Geometry |
Geometry | geometry | triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ? | 14 | import math
n0 = 49.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, 2.0))
t2 = t0 * t1
t3 = t2**min(2.0, 5)
t4 = t3 + t3
answer = math.sqrt(max(0, t4))
print(answer) | MathQA_Geometry |
Geometry | geometry | on dividing a number by 5 , we get 3 as remainder . what will be the remainder when the square of this number is divided by 5 ? | 4 | import math
n0 = 5.0
n1 = 3.0
n2 = 5.0
t0 = n1**min(2.0, 5)
t1 = t0 / n0
t2 = math.floor(t1)
t3 = t1 - t2
answer = n0 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2500 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 200 | import math
n0 = 2500.0
n1 = 10.0
t0 = n1 / 2.0
t1 = math.sqrt(max(0, n0))
t2 = t1 / t0
t3 = t2 * 2.0
answer = n1 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is 2 cm more than the width of the rectangle . the perimeter of the rectangle is 20 cm . find the length and the width of the rectangle . | 6 | n0 = 2.0
n1 = 20.0
t0 = n1 / 2.0
t1 = t0 - n0
t2 = t1 / 2.0
answer = n0 + t2
print(answer) | MathQA_Geometry |
Geometry | geometry | four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is : | 42.06196 | import math
n0 = 14.0
t0 = n0 / 2.0
t1 = n0**2
t2 = math.pi * t0**2
answer = t1 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | a certain rectangular crate measures 6 feet by 8 feet by 10 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? | 4 | import math
n0 = 6.0
n1 = 8.0
n2 = 10.0
t0 = n1 / 2.0
t1 = n0 * 3.141592653589793
t2 = math.pi * t0**2 * n0
t3 = t2 / t1
answer = math.sqrt(max(0, t3))
print(answer) | MathQA_Geometry |
Geometry | geometry | a crate measures 5 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still... | 5 | n0 = 5.0
n1 = 8.0
n2 = 12.0
t0 = n1 * n2
t1 = n0 * t0
t2 = t1 / n2
answer = t2 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube of edge 10 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? | 3.333333 | n0 = 10.0
n1 = 20.0
n2 = 15.0
t0 = n1 * n2
t1 = n0**3
answer = t1 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | in a company of 200 employees , 120 are females . a total of 100 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with a college degree only , how many employees are females with advanced degrees ? | 60 | n0 = 200.0
n1 = 120.0
n2 = 100.0
n3 = 40.0
t0 = n0 - n1
t1 = t0 - n3
answer = n2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a triangle is with base 8.4 m and height 5.8 m ? | 24.36 | n0 = 8.4
n1 = 5.8
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 4 per sq m ? | 5,200 | n0 = 80.0
n1 = 60.0
n2 = 10.0
n3 = 4.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 70 square feet of the wall , and no tiles ov... | 385 | n0 = 1.0
n1 = 3.0
n2 = 70.0
t0 = n2 * n1
t1 = t0 / 2.0
t2 = n1 * t1
answer = n2 + t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 1024 feet squared , what is the difference between the length and the width of the roof ? | 48 | import math
n0 = 4.0
n1 = 1024.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
t2 = t1 * n0
answer = t2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | ) a cube is painted blue on all of its surfaces . it is then cut in to 27 smaller cubes of equal size . find how many smaller cubes have no color ? | 1 | n0 = 27.0
t0 = n0 / 3.0
t1 = t0 / 3.0
t2 = t1 - 2.0
answer = t2**3
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular lawn of dimensions 80 m * 50 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | 3,600 | n0 = 80.0
n1 = 50.0
n2 = 10.0
n3 = 3.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 12 cm and height 8 cm ? | 96 | n0 = 12.0
n1 = 8.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ? | 750 | n0 = 65.0
n1 = 60.0
n2 = 25.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ? | 20.75 | n0 = 5.0
n1 = 15.0
t0 = n0 + 100.0
t1 = n1 + 100.0
t2 = 100.0 * 100.0 # area of rectangle
t3 = t0 * t1 # area of rectangle
t4 = t3 - t2
t5 = t4 * 100.0
answer = t5 / t2
print(answer) | MathQA_Geometry |
Geometry | geometry | area of square with side x is equal to the area of a triangle with base x . the altitude of the triangle is | 2 | t0 = 1.0**min(2.0, 5)
answer = t0 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the sides of the triangle are in the ratio 1 / 2 : 1 / 3 : 1 / 4 and its perimeter is 104 cm . the length of the longest side is ? | 48 | n0 = 1.0
n1 = 2.0
n2 = 1.0
n3 = 3.0
n4 = 1.0
n5 = 4.0
n6 = 104.0
t0 = n0 / n5
t1 = n0 / n3
t2 = n0 / n1
t3 = t0 + t1
t4 = t3 + t2
t5 = n6 / t4
answer = t5 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | 30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq . m . find the length of each stone slab ? | 130 | import math
n0 = 30.0
n1 = 50.7
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
answer = t1 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of one face of a cube is 20 cm . its volume will be : | 125 | n0 = 20.0
t0 = n0 / 4. # square edge given perimeter
answer = t0**3
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ? | 21 | n0 = 20.0
n1 = 10.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 60 cents . how many cents does a solution of 1 liter of spirit and 2 liters of wate... | 60 | n0 = 1.0
n1 = 1.0
n2 = 60.0
n3 = 1.0
n4 = 2.0
t0 = n0 + n4
t1 = n0 / t0
t2 = n2 * t1
answer = t0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the cube root of what integer power of 2 is closest to 50 ? | 17 | n0 = 2.0
n1 = 50.0
t0 = 4.0 + 4.0
t1 = n1 / n0
answer = t1 - t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 162 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 9 | import math
n0 = 162.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | if the radius of a circle decreased by 50 % its area is decreased by : | 75 | n0 = 50.0
t0 = n0 / 100.0
t1 = t0**min(2.0, 5)
t2 = t1 * 100.0
answer = 100.0 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | if a drawing has an outer circle of diameter 30 and an inner circle of diameter 24 , then what fraction of outer circle ' s surface is not covered by the inner circle ? | 0.36 | n0 = 30.0
n1 = 24.0
t0 = n0 / 2.0
t1 = n1 / 2.0
t2 = t0**min(2.0, 5)
t3 = t1**min(2.0, 5)
t4 = t2 * 3.141592653589793
t5 = t3 * 3.141592653589793
t6 = t4 - t5
answer = t6 / t4
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45 , then how long is the base of isosceles triangle ? | 5 | n0 = 60.0
n1 = 45.0
t0 = n0 / 3.0
t1 = n1 - t0
answer = t1 - t0
print(answer) | MathQA_Geometry |
Geometry | geometry | a circle graph shows how the budget of a certain company was spent : 60 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the perce... | 72 | n0 = 60.0
n1 = 9.0
n2 = 5.0
n3 = 4.0
n4 = 2.0
t0 = n0 + n1
t1 = n2 + t0
t2 = n3 + t1
t3 = n4 + t2
t4 = 100.0 - t3
t5 = t4 * 360.0
answer = t5 / 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | 56 | n0 = 7.0
t0 = 2.0 * 4.0
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle . | 50 | n0 = 4.0
n1 = 3.0
t0 = n0 + n1
t1 = n0 * n1
t2 = n1 * t0
t3 = t2 - t1
t4 = t0 + t3
t5 = t4 + t3
answer = t5 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? | 55 | n0 = 44.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) | 21.991149 | import math
n0 = 16.0
n1 = 12.0
t0 = 2 * (n0 + n1) # perimetere of rectangle
t1 = t0 / 4. # square edge given perimeter
t2 = t1 / 2.0
t3 = 2 * math.pi * t2
answer = t3 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ? | 140 | n0 = 30.0
n1 = 28.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | smita was making a cube with dimensions 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make a hollow cube looking of the same shape ? | 98 | n0 = 5.0
n1 = 5.0
n2 = 5.0
n3 = 1.0
n4 = 1.0
n5 = 1.0
t0 = n0**3
t1 = 3.0**3
answer = t0 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if circles x and y have the same area and circle x has a circumference of 20 π , half of the radius of circle y is : | 5 | n0 = 20.0
t0 = n0 / 2.0
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the diameter of a cylindrical tin is 4 cm and height is 5 cm . find the volume of the cylinder ? | 20 | import math
n0 = 4.0
n1 = 5.0
t0 = n0 / 2.0
t1 = math.pi * t0**2 * n1
answer = t1 / 3.141592653589793
print(answer) | MathQA_Geometry |
Geometry | geometry | a triangle and a parallelogram are constructed on the same base such that their areas are equal . if the altitude of the parallelogram is 100 m , then the altitude of the triangle is . | 200 | n0 = 100.0
answer = n0 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if abc is a quarter circle and a smaller circle is inscribed in it ; if radius of quarter circle is 1.414 units . find the radius of smaller circle | 0.586 | n0 = 1.414
answer = 2.0 - n0
print(answer) | MathQA_Geometry |
Geometry | geometry | carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ? | 30 | n0 = 12.0
n1 = 15.0
n2 = 6.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 39 cm , 32 cm and 10 cm , what is its area ? | 160 | n0 = 39.0
n1 = 32.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a triangle is with base 4 m and height 5 m ? | 10 | n0 = 4.0
n1 = 5.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the side length of square b is sqrt ( 3 ) times that of square a , the area of square b is how many times the area of square a ? | 3 | import math
n0 = 3.0
t0 = math.sqrt(max(0, n0))
answer = t0**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a circle of radius 5 is numerically what percent of its circumference ? | 250 | import math
n0 = 5.0
t0 = math.pi * n0**2
t1 = 2 * math.pi * n0
t2 = t0 / t1
answer = t2 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ? | 120 | n0 = 26.0
n1 = 24.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 34 cm and height 18 cm ? | 612 | n0 = 34.0
n1 = 18.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | 108 . triangle a ’ s base is 12 % greater than the base of triangle b , and a ’ s height is 12 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? | 0.694444 | n0 = 108.0
n1 = 12.0
n2 = 12.0
t0 = n1 + 100.0
t1 = 100.0 * 100.0
t2 = 100.0 - n1
t3 = t0 * t2
t4 = t1 - t3
answer = 100.0 / t4
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ? | 96 | n0 = 40.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = t1**min(2.0, 5)
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 12 | import math
n0 = 288.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
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