AFOQT Math Knowledge Questions and Answers 100% Pass

AFOQT Math Knowledge Questions and Answers 100% Pass 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. PQ and RS are intersecting lines. The fact that angle POS is a 90-degree angle means that PQ and RS are perpendicular, indicating that all the angles formed by their intersection, including ROQ, measure 90 degrees. 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. Incorrect answers include adding both the numerator and the denominator and not converting fifths to tenths properly. 3/4 is equal to a. 0.25 b. 0.30 c. 0.34 d. 0.50 e. 0.75 e. To convert a fraction to a decimal, divide the numerator, 3, by the denominator, 4. 3 ÷ 4 = 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. The correct answer is 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. Divide the numerator by the denominator: 1 ÷ 6 = 0.166667. Round the answer to the thousandths place (three decimal places) to get the answer 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. You have to convert all three fractions to twelfths before adding them. 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. Choice a totals 22,436; choice b totals 2,346; choice d totals 206,306, and choice e totals 216,306. 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. The first box is one greater than -5; the second is one greater than 0. 1 1/2 is equal to a. 0.50 b. 1.25 c. 2.50 d. 1.50 e. .150 d. 1 1/2 is a mixed number. To convert this into a decimal, first take the whole number (in this case, 1) and place it to the left of the decimal point. Then, take the fraction (in this case, 1/2) and convert it to a decimal by dividing the numerator by the denominator, yielding .50. If x/54 = 2/9, then x is a. 12 b. 14 c. 18 d. 108 e. 118 a. Raise the fraction 2/9 to 54ths by multiplying both numerator and denominator by 6. Which of the following is divisible by both 7 and by 8? a. 63 b. 106 c. 114 d. 112 e. 78 d. 7(8)(2) = 112. What is 3/8 equal to? a. 0.25 b. 0.333 c. 0.60 d. 0.375 e. 3.80 d. Divide 3 by 8 in order to convert the fraction into a decimal. 3 ÷ 8 = 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. The meaning of 43 is 4 times itself 3 times. 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. The total on the right is 35. On the left, you need an operation you can do on 5 to get 35. Multiplying by (5 + 2) does the trick. Which of these is equivalent to 20°C? (F = (9/5)C + 32) a. 68°F b. 95°F c. 45°F d. 19°F e. 70°F a. Using 20 for C: F = ((9/5) × 20) + 32. Therefore F = 36 + 32, or 68. 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)l * w * h) a. 16 feet^3 b. 30 feet^3 c. 40 feet^3 d. 120 feet^3 e. 220 feet^3 c. 5(3)(8) = 120; 120 ÷ 3 = 40. What is another way to write 7.25 × 10^3? a. 72.5 b. 725 c. 7,250 d. 72,500 e. 720,500 c. 10(10)(10) = 1,000; 1,000(7.25) = 7,250. How many inches are there in 3 1/3 yards? a. 126 b. 120 c. 160 d. 168 e. 313 b. To solve this problem, you must first convert yards to inches. There are 36 inches in a yard; and 1/3 of a yard is 12 inches; 36 × 3 = 108 + 12 = 120. 3/5 = a. 0.60 b. 0.20 c. 0.50 d. 0.80 e. 0.90 a. Divide 3 by 5 to convert from a fraction into a decimal: 3 ÷ 5 = 0.60. 0.97 is equal to a. 97% b. 9.7% c. 0.97% d. 0.097% e. 0.0097% a. 0.97 multiplied by 100 is 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. The sum of the measure of the angles in a triangle is 180°; 70° + 30° = 100°; 180° - 100° = 80°. 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. Since the solution to the problem x + 32 = 14, x = -18. Choices a, c, and d are all too large to be correct. 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. Use the formula A = lw. or 108 = l × 6. Since the area is the length × the width of the rectangle, then dividing the area (108) by the width (6) will give you the length, 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. 37.5% is the same as 37.5/100 . Multiply both the numerator and the denominator by 10 to move the decimal point, resulting in 375/1,000. Next, factor both the numerator and denominator to find out how far you can reduce the fraction: (5 * 5 * 5 * 3)/(5 * 5 * 5 * 8). If you cancel the three 5s that are in both the numerator and the denominator, you get 3/8. 0.15 is equal to a. 2/5 b. 3/20 c. 2/10 d. 1/20 e. 1.5/20 b. In the decimal, 0.15, the 5 falls in the hundredths place (two places to the right of the decimal). To convert this to a fraction, the 15 is placed over 100. Reduce, which gives you 3/20.