1. If point A is the center of the large circle and both circles intersect only at point B, then what is the ratio of the area of the shaded region to the area of the smaller circle assuming line segment AB, not shown, equals 6?

A.4:1

B.3:1

C.2:1

D.3:2

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Question 1 of 20

2. If one side of a square that has an area of 49 square units lies along the x-axis of a coordinate plane and another side of the same square lies along the y-axis of the coordinate plane, then which of the following coordinates must be a vertex of the square?

A.(7,7)

B.(0,7)

C.(7,0)

D.(0,0)

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Question 2 of 20

3. A rectangle whose width is 3 inches has the same area as a square whose side is 9 inches. What is the perimeter of this rectangle?

A.27

B.30

C.48

D.60

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Question 3 of 20

4. The center of circle X lies on the circumference of circle Y. If the area of X is π and the area of Y is 4π, then what is the area of the smallest circle that can contain the entire figure?

A.25π/4

B.15π/4

C.5π/4

D.25π

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Question 4 of 20

5. If the perimeter of the parallelogram MNPQ is 126 units then what is the area of triangle MNR?

A.25 sq. units

B.30 sq. units

C.60 sq. units

D.300 sq. units

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Question 5 of 20

6. If line m is parallel to line n as shown in the figure, then what is the value of r?

A.20

B.36

C.40

D.76

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Question 6 of 20

7. If line m is parallel to line n as shown in the figure, then what is the value of a + b + c?

A.130

B.210

C.230

D.310

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Question 7 of 20

8. If the figure includes all straight lines, then what is the value of a + c?

A.120

B.180

C.240

D.270

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Question 8 of 20

9. In the diagram shown, ABCD is a square and AEC is the arc of a circle centered at point B. Point E lies along the diagonal BD of the square. Find the measure of angle BEA (not shown), in degrees.

A.135/4

B.135/2

C.90

D.135

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Question 9 of 20

10. What is the area of a rectangle with the following vertices on the x-y coordinate plane? 

(-1,-1) (5,-1) (5,3) (-1,3) 

A.18

B.20

C.24

D.30

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Question 10 of 20

11. What is the perimeter of the following figure? All sides are horizontal or vertical.

A.18

B.20

C.22

D.24

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Question 11 of 20

12. If the area of ABC shown below is 60 sq. units, then what is the difference in area between ABD and DBC? 

A.10 sq. units

B.15 sq. units

C.20 sq. units

D.37.5 sq. units

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Question 12 of 20

13. In the volume formula for a square pyramid shown below, if s is divided by 2, and h is doubled, what is the ratio of the new volume to the original volume? V = (1/3)s²h

A.1:4

B.1:2

C.1:1

D.2:1

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Question 13 of 20

14. A regular dodecagon has 12 equal sides and 12 equal angles. How many degrees are in each interior angle of a regular dodecagon? 

 

A.30^o

B.150^o

C.154^o

D.168^o

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Question 14 of 20

15. In the square WXYZ below, what is the measure of m + n in degrees?

A.90^o

B.105^o

C.120^o

D.165^o

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Question 15 of 20

16. The diagram below represents 16 equal-sized square sections with a total combined area of 6,400 sq meters and a lightly shaded area. What is the area outside of the lightly shaded region? 

A.950 sq m

B.5600 sq m

C.5500 sq m

D.5450 sq m

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Question 16 of 20

17. In the figure below, the base of triangle MPR is a side of rectangle MNQR, and point P is the midpoint of NQ. If the area of the shaded region is 24 square centimeters, what is the area of the region that is not shaded? 

A.24 sq. cm.

B.48 sq. cm.

C.64 sq. cm.

D.72 sq. cm.

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Question 17 of 20

18. What is the area of an equilateral triangle with a side-length of 5 units?

A.

B.

C.

D.

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Question 18 of 20

19.  

For which point on the graph above is the value of the y-coordinate greater than the value of the x-coordinate?

A.R

B.S

C.T

D.V

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Question 19 of 20

20. If a rectangle has perimeter 24, its area is at most

A.24

B.25

C.36

D.144

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Question 20 of 20