problem stringlengths 0 1.31k | answer stringclasses 340
values | images images listlengths 1 1 |
|---|---|---|
In the triangle above, angle M is 80 degrees and angle Q is 30 degrees. The length of MN is 4. Which of the following must be true?
Choices:
A.p=r
B.p<r
C.p>r
D.p=4
E.p>4 | C | |
In the triangle above, which of the following must be true?
Choices:
A.p=r
B.p<r
C.p>r
D.p=4
E.p>4 | C | |
In the triangle above, which of the following must be true?
Choices:
A.p=r
B.p<r
C.p>r
D.p=4
E.p>4 | C | |
In the triangle above, which of the following must be true?
Choices:
A.p=r
B.p<r
C.p>r
D.p=4
E.p>4
| C | |
C | ||
In the figure above, the length of CD is 7, the length of CF is 15, and CDEF is a rectangle. If the area of triangle CAF is equal to the area of rectangle CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15 | C | |
In the figure above if the area of triangle CAF is equal to the area of CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15 | C | |
In the figure above if the area of triangle CAF is equal to the area of CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15 | C | |
In the figure above if the area of triangle CAF is equal to the area of rectangle CDEF, what is the length of segment AD?
Choices:
A.7/2
B.5
C.7
D.15/2
E.15
| C | |
C | ||
In the figure above, the four circles have the same center and their radii are 1, 2, 3, and 4, respectively. They form two shaded rings and two write rings. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?
Choices:
A.1:2
B.1:4
C.3:5
D.3:7
E.5:7 | D | |
In the figure above, the radii of four circles are 1, 2, 3, and 4, respectively. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?
Choices:
A.1:2
B.1:4
C.3:5
D.3:7
E.5:7 | D | |
In the figure above, the radii of four circles are 1, 2, 3, and 4, respectively. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?
Choices:
A.1:2
B.1:4
C.3:5
D.3:7
E.5:7 | D | |
In the figure above, the radii of four circles are 1, 2, 3, and 4, respectively. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?
Choices:
A.1:2
B.1:4
C.3:5
D.3:7
E.5:7
| D | |
D | ||
In the figure above, this is a rectangle and the lengths of the sides are x-3 and x+3 respectively. If the perimeter of the rectangle above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36 | C | |
If the perimeter of the rectangle above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36 | C | |
If the perimeter of the quadrilateral above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36 | C | |
If the perimeter of the rectangle above is 72, what is the value of x?
Choices:
A.9
B.15
C.18
D.21
E.36
| C | |
C | ||
The graph consists of the rectangle QRPS and the line segment RT, and the point T is on PS. The area of triangle RST is 7 and PT=2/5*PS. What is the area of PQRS? | 23 | |
In the figure above, PQRS is a rectangle. The area of triangle RST is 7 and PT=2/5*PS. What is the area of PQRS? | 23 | |
In the figure above. The area of triangle RST is 7 and PT=2/5*PS. What is the area of PQRS? | 23 | |
In the figure above, PQRS is a rectangle. The area of triangle RST is 7 and PT=2/5*PS. What is the area of PQRS? | 23 | |
23 | ||
In the figure above, point B lies on side AC. This figure consists of triangles BCD and BAD. If 55 < x < 60, what is one possible value of y ? | 123 | |
In the figure above. If 55 < x < 60, what is one possible value of y ? | 123 | |
In the figure above. If 55 < x < 60, what is one possible value of y ? | 123 | |
In the figure above. If 55 < x < 60, what is one possible value of y ? | 123 | |
123 | ||
In rectangle ABDF above, point C lies on side BD,point E lies on side DF, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle is shaded? | 0 | |
In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle is shaded? | 0 | |
What fraction of the area of the quadrilateral is shaded? | 0 | |
In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle is shaded? | 0 | |
0 | ||
In rectangle ABCD above, the length of BC is l and the length of DC is w. The area of the shaded region is given by \pi*l*w/4. If the area of the shaded region is 7*\pi, what is the total area, to the nearest whole number, of the unshaded regions of rectangle ABCD ?
Choices:
A.4
B.6
C.8
D.9
E.10 | B | |
In rectangle ABCD above, the area of the shaded region is given by \pi*l*w/4. If the area of the shaded region is 7*\pi, what is the total area, to the nearest whole number, of the unshaded regions of rectangle ABCD ?
Choices:
A.4
B.6
C.8
D.9
E.10 | B | |
In the figure above, the area of the shaded region is given by \pi*l*w/4. If the area of the shaded region is 7*\pi, what is the total area, to the nearest whole number, of the unshaded regions of quadrilateral ABCD ?
Choices:
A.4
B.6
C.8
D.9
E.10 | B | |
In rectangle ABCD above, the area of the shaded region is given by \\pi*l*w/4. If the area of the shaded region is 7*\\pi, what is the total area, to the nearest whole number, of the unshaded regions of rectangle ABCD ?
Choices:
A.4
B.6
C.8
D.9
E.10
| B | |
B | ||
Four lines are drawn through the center of the rectangle shown above.The rectangle is divided into eight triangles. What fraction of the area of the rectangle is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | B | |
What fraction of the area of the rectangle is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | B | |
What fraction of the area of the figure is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16 | B | |
What fraction of the area of the figure is shaded?
Choices:
A.3/8
B.1/4
C.1/8
D.1/10
E.1/16
| B | |
B | ||
In the figure above, the seven small circles, which have equal radii, and the large circle share only those points on the circles that are marked. Point P is the center of the large circle and PA and PB are radii. The area of the shaded portion is how many times the area of one of the small circles? | 1 | |
In the figure above, the seven small circles have equal radii. The area of the shaded portion is how many times the area of one of the small circles? | 1 | |
In the figure above, the area of the shaded portion is how many times the area of one of the small circles? | 1 | |
In the figure above, the seven small circles have equal radii. The area of the shaded portion is how many times the area of one of the small circles? | 1 | |
1 | ||
In the figure above, the circle with center O has radius 7, AB is a diameter, and AC = BC. What is the area of triangle ABC? | 49 | |
In the figure above, the circle has radius 7, and AC = BC. What is the area of triangle ABC? | 49 | |
In the figure above, the circle has radius 7. What is the area of triangle ABC? | 49 | |
In the figure above, AC = BC. What is the area of \u0001triangle ABC? | 49 | |
49 | ||
In the figure above,line k and line l intersect perpendicularly, and line k and line m intersect at an angle of x°. Lines l and m are not parallel. Which of the following cannot be the value of x?
Choices:
A.89
B.90
C.91
D.92
E.93 | B | |
In the figure above, lines l and m are not parallel. Which of the following cannot be the value of x?
Choices:
A.89
B.90
C.91
D.92
E.93 | B | |
In the figure above, lines l and m are not parallel. Which of the following cannot be the value of x?
Choices:
A.89
B.90
C.91
D.92
E.93 | B | |
In the figure above, lines l and m are not parallel. Which of the following cannot be the value of x?
Choices:
A.89
B.90
C.91
D.92
E.93
| B | |
B | ||
This graph consists of three lines. Lines l and k intersect at point Q. If m = 40 and p = 25, what is the value of x?
Choices:
A.15
B.20
C.25
D.40
E.65 | A | |
In the figure above. If m = 40 and p = 25, what is the value of x?
Choices:
A.15
B.20
C.25
D.40
E.65 | A | |
In the figure above. If m = 40 and p = 25, what is the value of x?
Choices:
A.15
B.20
C.25
D.40
E.65 | A | |
In the figure above. What is the value of x?
Choices:
A.15
B.20
C.25
D.40
E.65
| A | |
A | ||
In the figure above, a+b = 54, and one of the angles is 126°. What is the value of x?
Choices:
A.72
B.70
C.68
D.66
E.64 | A | |
In the figure above, what is the value of x?
Choices:
A.72
B.70
C.68
D.66
E.64 | A | |
In the figure above, what is the value of x?
Choices:
A.72
B.70
C.68
D.66
E.64 | A | |
In the figure above, what is the value of x?
Choices:
A.72
B.70
C.68
D.66
E.64
| A | |
A | ||
The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p? | 24 | |
The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p? | 24 | |
The perimeter of the figure above is p and the area of the figure is 36. If l and w are integers, what is one possible value of p? | 24 | |
The perimeter of the rectangle above is p and the area of the rectangle is 36. If l and w are integers, what is one possible value of p? | 24 | |
24 | ||
In the figure above. The graph consists of four lines l,m,n,p intersecting each other. Line l and line p are perpendicular. If the angle (not shown) where lines n and p intersect is twice as large as the angle (also not shown) where lines l and m intersect, what is the value of x? | 50 | |
In the figure above, if the angle (not shown) where lines n and p intersect is twice as large as the angle (also not shown) where lines l and m intersect, what is the value of x? | 50 | |
In the figure above, if the angle (not shown) where lines n and p intersect is twice as large as the angle (also not shown) where lines l and m intersect, what is the value of x? | 50 | |
In the figure above, if the angle (not shown) where lines n and p intersect is twice as large as the angle (also not shown) where lines l and m intersect, what is the value of x? | 50 | |
50 | ||
In the figure above, points A and B lie on the circle with center O. If x = 80, what is the value of z?
Choices:
A.80
B.60
C.50
D.40
E.10 | A | |
In the figure above. If x = 80, what is the value of z?
Choices:
A.80
B.60
C.50
D.40
E.10 | A | |
In the figure above. If x = 80, what is the value of z?
Choices:
A.80
B.60
C.50
D.40
E.10 | A | |
In the figure above. What is the value of z?
Choices:
A.80
B.60
C.50
D.40
E.10
| A | |
A | ||
In the figure above, triangle ABC is inscribed in the circle with center O and diameter AC. If AB = AO, what is the degree measure of angle ABO?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.90*\degree | D | |
In the figure above. If AB = AO, what is the degree measure of angle ABO?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.90*\degree | D | |
In the figure above. If AB = AO, what is the degree measure of angle ABO?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.90*\degree | D | |
In the figure above. If AB = AO, what is the degree measure of angle ABO?
Choices:
A.15*\degree
B.30*\degree
C.45*\degree
D.60*\degree
E.90*\degree
| D | |
D | ||
In the figure above, line AB, line CD, and line EF intersect at P. If r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?
Choices:
A.45
B.50
C.65
D.75
E.It cannot be determined from the information given | C | |
In the figure above, if r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?
Choices:
A.45
B.50
C.65
D.75
E.It cannot be determined from the information given | C | |
In the figure above, if r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x?
Choices:
A.45
B.50
C.65
D.75
E.It cannot be determined from the information given | C | |
In the figure above, what is the value of x?
Choices:
A.45
B.50
C.65
D.75
E.It cannot be determined from the information given
| C | |
C | ||
In triangle ABC above, angle A is 60° and triangle ABC is equilateral. The length of AB is 3, and D is the midpoint of AC. What is the length of BC?
Choices:
A.3*\sqrt{3}
B.4*\sqrt{2}
C.4*\sqrt{3}
D.6*\sqrt{2}
E.5*\sqrt{3} | A | |
In figure above, the length of AB is 3, and D is the midpoint of AC. What is the length of BC?
Choices:
A.3*\sqrt{3}
B.4*\sqrt{2}
C.4*\sqrt{3}
D.6*\sqrt{2}
E.5*\sqrt{3} | A | |
In figure above, the length of AB is 3. What is the length of BC?
Choices:
A.3*\sqrt{3}
B.4*\sqrt{2}
C.4*\sqrt{3}
D.6*\sqrt{2}
E.5*\sqrt{3} | A | |
In triangle ABC above, and D is the midpoint of AC. What is the length of BC?
Choices:
A.3*\sqrt{3}
B.4*\sqrt{2}
C.4*\sqrt{3}
D.6*\sqrt{2}
E.5*\sqrt{3}
| A | |
A |
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