Full-Length AFOQT Math Practice Test

Full-Length AFOQT Math Practice Test

B. \(45^\circ\)

C. \(60^\circ\)

D. \(90^\circ\)

27- What is the value of \(\sqrt{81} × \sqrt{49}\)?

A. 6

B. \(\sqrt{130}\)

C. 63

D. \(\sqrt{87}\)

28- If \(a = 5\), what is the value of b in this equation? \(b = \frac{a^3}{5} -2\)

A. 5

B. 13

C. 15

D. 23

29- Which of the following is an obtuse angle?

A. \(35^\circ\)

B. \(105^\circ\)

C. \(145^\circ\)

D. \(175^\circ\)

30- Which of the following is not equal to \(3^2\)?

A. 3 squared

B. the square of 3

C. 3 to the second power

D. 3 cubed

31- The fourth root of 625 is:

A. 4

B. 5

C. 6

D. 8

32- A circle has a radius of 4 inches. What is its approximate area? \((π = 3.14)\)

A. 31.41 square inches

B. 50.26 square inches

C. 78.87 square inches

D. 121.2 square inches

33- The volume of this box is:

A. 12 cm\(^3\)

B. 24 cm\(^3\)

C. 48 cm\(^3\)

D. 96 cm\(^3\)

34- If \(- 9a = 81\), then \(a =\) _______

A. \(-9\)

B. \(-8\)

C. 0

D. 9

35- A square has one side with a length of 8 feet. The area of the square is:

A. 16 square feet

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B. 32 square feet

C. 64 square feet

D. 128 square feet

36- In the following right triangle, what is the value of \(x\) rounded to the nearest hundredth?

A. 2.34

B. 6.70

C. 8.75

D. 9.85

37- \((-3x +7) (3x-4) =\)?

A. \(-6x + 3\)

B. \(-9×2 + 33x – 28\)

C. \(-9×2 – 28\)

D. \(3x + 5\)

38- \(3(a –7)=34\), what is the value of a?

A. 3.5

B. 7

C. 8.75

D. 15

39- If \(2^{18}=2^5× 2^x\), what is the value of \(x\)?

A. 2

B. 8

C. 13

D. 16

40- Factor this expression: \(x^2 + 4x –21\)

A. \(x^2(4 – 21)\)

B. \(x(x + 4 – 21)\)

C. \((x+7)(x-3)\)

D. \((x-7)(x+3)\)

41- Find the slope of the line running through the points \((4, 4)\) and \((7, 1)\).

A. \(\frac{1}{3}\)

B. \(-1\)

C. 1

D. \(-\frac{1}{3}\)

42- The cube root of 4,197 is?

A. 7

B. 17

C. 70

D. 170

43- What is 87,456 in scientific notation?

A. 8.7456

B. \(0.087456 × 10^5\)

C. \(8.7456 × 10^4\)

D. \(87.456 × 10^4\)

44- What’s the area of the non-shaded part in the following figure?

A. 15

B. 20

C. 25

D. 35

45- A medium pizza has a diameter of 7 inches. What is its circumference?

A. \(3.5π\)

B. \(7π\)

C. \(14π\)

D. \(49π\)

46- A writer finishes 270 pages of his manuscript in 45 hours. How many pages is his average per hour?

A. 6

B. 8

C. 9

D. 12

47- Which of the following sets of factors do both 56 and 18 have in common?

A. {1, 2}

B. {6, 9, 14}

C. {0, 1, 2, 3}

D. {1, 3, 4, 18}

48- What is the circumference of a circle with center at point A if the distance from point \(X\) to \(Y\) is 10 feet? \((π = 3.14)\)

A. 3.14 Feet

B. 15.7 Feet

C. 31.4 Feet

D. 314 Feet

49- In the following diagram, the straight line is divided by one angled line at 45\(^\circ\). What is the value of a?

A. 45\(^\circ\)

B. 90\(^\circ\)

C. 135\(^\circ\)

D. 150\(^\circ\)

50- What’s the square root of \(49x^4\)?

A. \(7\sqrt{x}\)

B. \(7x\)

C. \(7x^2\)

D. \(7x^4\)

Answers and Explanations

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