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1. A container built in...

1. A container built in the shape of a cylinder has a circular base with a radius of 1.5 meters. The altitude

of the container is 3.5 meters. How many cubic meters of fluid can this container hold?

A. 21.21 m3

B. 6.19 m3

C. 7.07 m3

D. 24.74 m3

2. The complement of an angle of 22° is an angle measuring

A. 158°.

B. 23°.

C. 22°.

D. 68°.

3. Which one of the following statements about quadrilaterals is true?>/i>

A. A quadrilateral with a right angle is a rhombus.

B. A parallelogram with a right angle is a rectangle.

C. A quadrilateral with two pairs of parallel sides is a trapezoid.

D. A quadrilateral with only one set of parallel sides is a square.

4. If the diameter of a sphere is doubled, its surface becomes

A. four times the original surface.

B. double the original surface.

C. eight times the original surface.

D. three times the original surface.

5. What is the total area of a right rectangular prism with a height of 8 feet, a width of 10 feet, and a

thickness of 12 feet?

A. 950 ft2

B. 824 ft2

C. 478 ft2

D. 592 ft2

6. What is the altitude of a rhombus if its area is 10 square meters and the length on one side is 2.5 meters?

A. 4 m

B. 12.5 m

C. 7.5 m

D. 10 m

7. A triangle that contains angles of 27°, 90°, and 63° is a(n) _______ triangle.

A. obtuse

B. acute

C. equiangular

D. right

8. A triangle that contains angles of 35°, 90°, and 55° is a(n) _______ triangle.

A. obtuse

B. right

C. acute

D. equiangular

9. What is the circumference of a circle with a radius of 3 meters?

A. 6.00 m

B. 18.85 m

C. 3.14 m

D. 9.42 m

10. What is the volume of a frustum of a right pyramid with the area of the lower base equal to 100 square

inches, the area of the upper base equal to 25 square inches, and the altitude equal to 12 inches?

A. 700 in3

B. 420 in3

C. 560 in3

D. 750 in3

11. A monument in the form of a marble cylinder has a circular base with a radius of 1.5 meters. The

altitude of the monument is 3.5 meters. How many cubic meters of marble does this monument contain?

A. 6.19 m3

B. 24.74 m3

C. 21.21 m3

D. 7.07 m3

12. If a triangle has an angle of 45° and an angle of 100°, what is the third angle?

A. 35°

B. 45°

C. 55°

D. 100°

13. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the

nearest square foot?

A. 31 ft2

B. 157 ft2

C. 79 ft2

D. 16 ft2

14. Which of the following is a true statement about a tangent and a radius?

A. A tangent and a radius intersect at the foci of an ellipse.

B. A tangent and a radius of a hexagon are always equal lengths.

C. A tangent and a radius in a cylinder form two legs of a right triangle with the cylinder's altitude serving as the hypotenuse.

D. A tangent and a radius of a circle meet to form a 90° angle.

15. A monument is made in the form of a right pyramid with a regular hexagon as a base. Each base side is

5 meters and the slant height is 30 meters. If only the sides (and not the base) of the monument is to be

covered by metal, how many square meters of metal are needed to cover the sides of the pyramid?

A. 150 m2

B. 300 m2

C. 75 m2

D. 450 m2

16. What is the volume of a right triangular pyramid whose base is 3 meters on each side and whose

altitude is 4 meters?

A. 3.9 m3

B. 4.5 m3

C. 15.6 m3

D. 5.2 m3

17. What is the area of a right triangle with a hypotenuse measuring 5 inches and a base measuring 4

inches?

A. 12 in2

B. 7.5 in2

C. 10 in2

D. 6 in2

18. Find the perimeter of an ellipse if the major axis is 30 millimeters (mm) and the minor axis is 12 mm.

Round off your answer to the nearest whole number.

A. 283 mm

End of exam

B. 72 mm

C. 49 mm

D. 28 mm

19. The sides of a central angle in a circle are

A. a tangent and a radius.

B. two chords.

C. a diameter and a tangent.

D. two radii.

20. The sides of an angle inscribed in a circle are

A. a diameter and a tangent.

B. two radii.

C. two chords.

D. a tangent and a radius.

of the container is 3.5 meters. How many cubic meters of fluid can this container hold?

A. 21.21 m3

B. 6.19 m3

C. 7.07 m3

D. 24.74 m3

2. The complement of an angle of 22° is an angle measuring

A. 158°.

B. 23°.

C. 22°.

D. 68°.

3. Which one of the following statements about quadrilaterals is true?>/i>

A. A quadrilateral with a right angle is a rhombus.

B. A parallelogram with a right angle is a rectangle.

C. A quadrilateral with two pairs of parallel sides is a trapezoid.

D. A quadrilateral with only one set of parallel sides is a square.

4. If the diameter of a sphere is doubled, its surface becomes

A. four times the original surface.

B. double the original surface.

C. eight times the original surface.

D. three times the original surface.

5. What is the total area of a right rectangular prism with a height of 8 feet, a width of 10 feet, and a

thickness of 12 feet?

A. 950 ft2

B. 824 ft2

C. 478 ft2

D. 592 ft2

6. What is the altitude of a rhombus if its area is 10 square meters and the length on one side is 2.5 meters?

A. 4 m

B. 12.5 m

C. 7.5 m

D. 10 m

7. A triangle that contains angles of 27°, 90°, and 63° is a(n) _______ triangle.

A. obtuse

B. acute

C. equiangular

D. right

8. A triangle that contains angles of 35°, 90°, and 55° is a(n) _______ triangle.

A. obtuse

B. right

C. acute

D. equiangular

9. What is the circumference of a circle with a radius of 3 meters?

A. 6.00 m

B. 18.85 m

C. 3.14 m

D. 9.42 m

10. What is the volume of a frustum of a right pyramid with the area of the lower base equal to 100 square

inches, the area of the upper base equal to 25 square inches, and the altitude equal to 12 inches?

A. 700 in3

B. 420 in3

C. 560 in3

D. 750 in3

11. A monument in the form of a marble cylinder has a circular base with a radius of 1.5 meters. The

altitude of the monument is 3.5 meters. How many cubic meters of marble does this monument contain?

A. 6.19 m3

B. 24.74 m3

C. 21.21 m3

D. 7.07 m3

12. If a triangle has an angle of 45° and an angle of 100°, what is the third angle?

A. 35°

B. 45°

C. 55°

D. 100°

13. If a decorative sign in the form of a circle has a diameter of 10 feet, what it the area of the sign, to the

nearest square foot?

A. 31 ft2

B. 157 ft2

C. 79 ft2

D. 16 ft2

14. Which of the following is a true statement about a tangent and a radius?

A. A tangent and a radius intersect at the foci of an ellipse.

B. A tangent and a radius of a hexagon are always equal lengths.

C. A tangent and a radius in a cylinder form two legs of a right triangle with the cylinder's altitude serving as the hypotenuse.

D. A tangent and a radius of a circle meet to form a 90° angle.

15. A monument is made in the form of a right pyramid with a regular hexagon as a base. Each base side is

5 meters and the slant height is 30 meters. If only the sides (and not the base) of the monument is to be

covered by metal, how many square meters of metal are needed to cover the sides of the pyramid?

A. 150 m2

B. 300 m2

C. 75 m2

D. 450 m2

16. What is the volume of a right triangular pyramid whose base is 3 meters on each side and whose

altitude is 4 meters?

A. 3.9 m3

B. 4.5 m3

C. 15.6 m3

D. 5.2 m3

17. What is the area of a right triangle with a hypotenuse measuring 5 inches and a base measuring 4

inches?

A. 12 in2

B. 7.5 in2

C. 10 in2

D. 6 in2

18. Find the perimeter of an ellipse if the major axis is 30 millimeters (mm) and the minor axis is 12 mm.

Round off your answer to the nearest whole number.

A. 283 mm

End of exam

B. 72 mm

C. 49 mm

D. 28 mm

19. The sides of a central angle in a circle are

A. a tangent and a radius.

B. two chords.

C. a diameter and a tangent.

D. two radii.

20. The sides of an angle inscribed in a circle are

A. a diameter and a tangent.

B. two radii.

C. two chords.

D. a tangent and a radius.

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