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
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. \(7x^4\)
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