ASVAB/AFQT Arithmetic Reasoning Practice Test 50: Geometry

Directions: In this test, you are tested on your ability to use arithmetic. Choose the best answer for each question.

1. Carson and Jolie are stacking 2-inch by 2-inch blocks together. How many blocks do they need to stack to create a wall that is one foot tall and one foot wide?

2. A kite has one diagonal length of 21.5 cm and another diagonal length of 15 cm. What is the kite's area?

3. The lengths of two adjacent sides of a kite are 24.5 inches and 30.4 inches. What is the kite's perimeter?

4. A rectangle is six times as long as it is wide. If you increase its length by two inches and decrease its width by one inch, the area will be 190 square inches. What is the area of the original rectangle?

5. A square garden with an area of 169 square meters needs to be surrounded by a walkway that's 2 meters across. What is the walkway's area?

6. Find the difference between the circumference of a circle with a radius of 5 centimeters and the circumference of a circle with a diameter of 12 centimeters.

7. In a triangle measured in centimeters, the lengths of the sides are all consecutive integers. The perimeter is eight more than twice the shortest side. What is the triangle's perimeter?

8. The area of a trapezoid is 52 square inches. The bases are 11 inches and 15 inches. What is the trapezoid's height?

9. Find the area of an acute triangle with a base of 12 cm and a height of 4 cm.

10. Ms. Ruiz is searching for a triangular mat for her art classroom. She needs one that measures 18 square feet and has a base of 3 feet so it can fit in a certain corner that measures 90°. Find the height of the mat Ms. Ruiz needs to buy.

11. Find the area of a trapezoid with a base of 8 feet, a base of 12 feet, and a height of 7 feet.

12. In a quadrilateral, two angles are equal. The third angle is equal to the sum of the two equal angles, and the fourth angle is twice the sum of the third angle. The sum of all the internal angles is 360°. What is the measure of the fourth angle in the quadrilateral?

13. Find the exact circumference of a circle if its radius is 12 feet.

14. What is the volume of a right cylinder that's 8 cm high and has a radius of 4 cm?

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