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# Mathematics Knowledge Review for ASVAB Power Practice Problems

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Updated on Aug 12, 2011

These mathematics knowledge practice questions are based on the actual ASVAB. Take this quiz to see how you would do if you took the exam today and to determine your strengths and weaknesses as you plan your study schedule.

Time: 24 minutes

1. Which of the following has the greatest value?
2. Factor the expression completely: x2 – 25.
1. x(x – 25)
2. (x + 5)(x – 5)
3. (x + 5)(x + 5)
4. (x – 5)(x – 5)
3. Solve the equation for b: = 5.
1. 101°
2. 89°
3. 90°
4. 79°
4. What is the perimeter of the following figure?
5. The area of a right triangle is 60 square centimeters. The height is 15 centimeters. How many centimeters is the base?
1. 4 feet > 3 feet
2. 7 feet < 6 feet
3. 5 feet > 6 feet
4. 3 feet < 2 feet
6. Choose the answer to the following problem: 105 ÷ 102 =
1. 13
2. 103
3. 107
4. 1010
7. Which of the following is the equivalent of ?
1. 0.45
2. 0.5
3. 0.42
4. 0.4
8. One side of a rectangle measures 834 centimeters and another side measures 1,288 centimeters. What is the perimeter of the rectangle?
1. 2,148,384 square feet
2. 1,074,192 square feet
3. 4,244 feet
4. 2,122 feet
9. How many minutes are in hours?
1. 258 minutes
2. 430 minutes
3. 2,580 minutes
4. 4,300 minutes
10. What is the area of a circle that has a diameter of 94 centimeters?
1. 188π square centimeters
2. 47π square centimeters
3. 94π square centimeters
4. 2,209π square centimeters
11. How does the area of a rectangle change if the base and the height of the original rectangle are tripled?
1. The area is tripled.
2. The area is six times larger.
3. The area is nine times larger.
4. The area remains the same.
12. Plattville is 80 miles west and 60 miles north of Quincy. How long is a direct route from Plattville to Quincy?
1. 100 miles
2. 110 miles
3. 120 miles
4. 140 miles
13. Which of the following numbers is divisible by six?
1. 232
2. 341
3. 546
4. 903
14. A triangle has two congruent sides, and the measure of one angle is 40°.Which of the following types of triangles is it?
1. isosceles
2. equilateral
3. right
4. scalene
15. Multiply the binomials: (3x + 4)(x – 6).
1. 3x2 – 22x – 24
2. 3x2 + 14x – 24
3. 3x2 – 14x – 24
4. 3x2 + 14x + 24
16. An acute angle is
1. 180°.
2. greater than 90°.
3. 90°.
4. less than 90°.
17. Choose the answer to the following problem: | 4 – 15 | =
1. –11
2. 11
3. –19
4. 19
18. Which of the following answer choices is equivalent to 104?
1. 10 × 10 × 10 × 10
2. 10 × 4
3. (10 + 4) × 10
4. 10 + 4
19. 56.73647 rounded to the nearest hundredth is equal to
1. 2
2. 1
3. 5
4. 3
20. Solve for all values of x in the equation: x2 – 25 = 0.
1. 5
2. 0, 5
3. –5
4. 5, –5
21. How many ounce glasses can be completely filled from a ounce container of juice?
1. 4
2. 5
3. 6
4. 7