AFOQT Math Knowledge exam study guide 2023 with 100% correct answers.

The figure is an X. O is the center. In this figure, angle POS measures 90°. What is the measure of angle ROQ? a. 45° b. 90° c. 180° d. 270° e. 360° B. 90° 4 1/5 + 1 2/5 + 3 3/10 a. 8 9/10 b. 9 1/10 c. 8 4/5 d. 8 6/15 e. 9 5/10 A. 8 9/10 3/4 is equal to a. 0.25 b. 0.30 c. 0.34 d. 0.50 e. 0.75 E. 0.75 76 1/2 + 11 5/6 = a. 87 1/2 b. 88 1/3 c. 88 2/3 d. 88 5/6 e. 89 B. 88 1/3 What is the decimal equivalent of 1/6 rounded to the nearest thousandth? a. 0.165 b. 0.666 c. 0.123 d. 0.167 e. 0.176 D. 0.167 1/6 + 7/12 + 2/ 3 = a. 10/24 b. 2 1/6 c. 1 5/6 d. 1 5/12 e. 2 5/6 D. 1 5/12 Which of the following is equivalent to 202,436? a. 20,000 + 2,000 + 400 + 30 + 6 b. 2,000 + 40 + 300 + 6 c. 200,000 + 2,000 + 400 + 30 + 6 d. 200,000 + 2,000 + 4,000 + 300 + 6 e. 200,000 + 12,000 + 4,000 + 300 + 6 C. 200,000 + 2,000 + 400 + 30 + 6 The number line- left is -5 then blank on the right and then center is 0 then blank on the right. What are the missing integers on this number line? a. -4 and 1 b. -6 and 1 c. -6 and -1 d. 4 and 9 e. 5 and 8 A. -4 and 1 1 1/2 is equal to a. 0.50 b. 1.25 c. 2.50 d. 1.50 e. 0.150 D. 1.50 If x/54 = 2/9, then x is a. 12 b. 14 c. 18 d. 108 e. 118 A. 12 Which of the following is divisible by both 7 and by 8? a. 63 b. 106 c. 114 d. 112 e. 78 D. 112 What is 3/8 equal to? a. 0.25 b. 0.333 c. 0.60 d. 0.375 e. 3.80 D. 0.375 What is another way to write 4×4×4? a.3×4 b.8×4 c.4 3 d.3 4 e.8 3 C.4 3 Which of the following choices completes this number sentence? 5_____ = (10 × 2) + (5 × 3) a. ×(5+2) b. +(5+2) c. ×(5×2) d. +(5×2) e. +(5×3) A. ×(5+2) Which of these is equivalent to 20°C? (F=9/5C+32) a. 68°F b. 95°F c. 45°F d. 19°F e. 70°F A. 68°F What is the volume of a pyramid that has a rectangular base 5 feet by 3 feet and a height of 8 feet? (V = 1/3 lwh) **(means to what power) a .16 feet(3) b. 30 feet(3) c. 40 feet(3) d. 120 feet(3) e. 220 feet(3) C.40 feet(3) What is another way to write 7.25 ×10(3)? **(means to what power) a. 72.5 b. 725 c. 7,250 d. 72,500 e. 720,500 C. 7,250 How many inches are there in 3 1/3 yards? a. 126 b. 120 c. 160 d. 168 e. 313 B. 120 3/5= a. 0.60 b. 0.20 c. 0.50 d. 0.80 e. 0.90 A. 0.60 0.97 is equal to a. 97% b. 9.7% c. 0.97% d. 0.097% e. 0.0097% A. 97% In a triangle, angle A is 70 degrees and angle B is 30 degrees. What is the measure of angle C? a. 90 degrees b. 70 degrees c. 80 degrees d. 100 degrees e. 120 degrees C. 80 degrees Which value of x will make the number sentence x + 32 ≤ 14 true? a. -16 b. -21 c. 12 d. 38 e. none of the above B. -21 What is the length of a rectangle if its width is 6 feet and its area is 108 square feet? a. 1.8 feet b. 10.5 feet c. 18 feet d. 16 feet e. 68 feet C. 18 feet 37.5 percent is equal to a. 3/8 b. 5/8 c. 4 3/4 d. 6 3/4 e. 3 7/5 A. 3/8 0.15 is equal to a. 2/5 b. 3/20 c. 2/10 d. 1/20 e. 1.5/20 B. 3/20 The first digit of the square root of 112,092 is a. 1 b. 2 c. 3 d. 4 e. 5 C. 3 Roberta draws two similar pentagons. The perimeter of the larger pentagon is 93 feet; one of its sides measures 24 feet. If the perimeter of the smaller pentagon equals 31 feet, then the corresponding side of the smaller pentagon measures a. 5s = 31 b. 93s = 24 × 31 c. 93 × 24 = 31s d. 5 × 31 = s e. 31 × 24 = s B. 93s = 24 × 31 Which measurement uses the largest increment? a. perimeter b. area c. surface area d. volume e. They all use the same size increment. D. Volume What is the distance, in miles, around a circular course with a radius of 49 miles? (pi = 22/7) a. 154 miles b. 308 miles c. 462 miles d. 539 miles e. 616 miles B. 308 miles Examine (A), (B), and (C) and choose the best answer. (A) 0.5 (B) 5% (C) 1/5 a. (A) is greater than (B). b. (B) is greater than (A). c. (C) is greater than (A). d. (A) and (B) are equal. e. (B) times (A) is equal to (C). A. (A) is greater than (B)