AFOQT Math Knowledge Questions and Answers 100% II! II! II! II! II! II!
Pass
II!
In this figure, angle POS measures 90°. What is the measure of angle ROQ?
II! II! II! II! II! II! II! II! II! II! II! II! II!
a. 45° II!
b. 90° II!
c. 180°II!
d. 270° II!
e. 360° - Answer ✔✔ - b. PQ and RS are intersecting lines. The fact
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
that angle POS is a 90-degree angle means
II! II! II! II! II! II! II!
that PQ and RS are perpendicular, II! II! II! II! II!
indicating that all the angles formed by II! II! II! II! II! II!
their intersection, including ROQ, measure
II! II! II! II!
90 degrees. II!
4 1/5 + 1 2/5 + 3 3/10
II! II! II! II! II! II! II!
a. 8 9/10
II! II!
b. 9 1/10 II! II!
c. 8 4/5
II! II!
d. 8 6/15 II! II!
e. 9 5/10 - Answer ✔✔ - a. Incorrect answers include adding both the
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
numerator and the denominator and not II! II! II! II! II!
converting fifths to tenths properly. II! II! II! II!
3/4 is equal to II! II! II!
, a. 0.25
II!
b. 0.30II!
c. 0.34
II!
d. 0.50II!
e. 0.75 - Answer ✔✔ - e. To convert a fraction to a decimal, divide
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
the numerator, 3, by the denominator, 4.
II! II! II! II! II! II!
3 ÷ 4 = 0.75.
II! II! II! II!
76 1/2 + 11 5/6 =
II! II! II! II! II!
a. 87 1/2
II! II!
b. 88 1/3
II! II!
c. 88 2/3
II! II!
d. 88 5/6
II! II!
e. 89 - Answer ✔✔ - b. The correct answer is 88 1/3.
II! II! II! II! II! II! II! II! II! II! II! II! II! II!
What is the decimal equivalent of 1/6 rounded to the nearest thousandth?
II! II! II! II! II! II! II! II! II! II! II!
a. 0.165
II!
b. 0.666
II!
c. 0.123
II!
d. 0.167
II!
e. 0.176 - Answer ✔✔ - d. Divide the numerator by the denominator:
II! II! II! II! II! II! II! II! II! II! II! II! II! II!
1 ÷ 6 = 0.166667. Round the answer to the
II! II! II! II! II! II! II! II! II!
thousandths place (three decimal places) to II! II! II! II! II!
get the answer 0.167.
II! II! II!
1/6 + 7/12 + 2/3 = II! II! II! II! II!
Pass
II!
In this figure, angle POS measures 90°. What is the measure of angle ROQ?
II! II! II! II! II! II! II! II! II! II! II! II! II!
a. 45° II!
b. 90° II!
c. 180°II!
d. 270° II!
e. 360° - Answer ✔✔ - b. PQ and RS are intersecting lines. The fact
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
that angle POS is a 90-degree angle means
II! II! II! II! II! II! II!
that PQ and RS are perpendicular, II! II! II! II! II!
indicating that all the angles formed by II! II! II! II! II! II!
their intersection, including ROQ, measure
II! II! II! II!
90 degrees. II!
4 1/5 + 1 2/5 + 3 3/10
II! II! II! II! II! II! II!
a. 8 9/10
II! II!
b. 9 1/10 II! II!
c. 8 4/5
II! II!
d. 8 6/15 II! II!
e. 9 5/10 - Answer ✔✔ - a. Incorrect answers include adding both the
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
numerator and the denominator and not II! II! II! II! II!
converting fifths to tenths properly. II! II! II! II!
3/4 is equal to II! II! II!
, a. 0.25
II!
b. 0.30II!
c. 0.34
II!
d. 0.50II!
e. 0.75 - Answer ✔✔ - e. To convert a fraction to a decimal, divide
II! II! II! II! II! II! II! II! II! II! II! II! II! II! II! II!
the numerator, 3, by the denominator, 4.
II! II! II! II! II! II!
3 ÷ 4 = 0.75.
II! II! II! II!
76 1/2 + 11 5/6 =
II! II! II! II! II!
a. 87 1/2
II! II!
b. 88 1/3
II! II!
c. 88 2/3
II! II!
d. 88 5/6
II! II!
e. 89 - Answer ✔✔ - b. The correct answer is 88 1/3.
II! II! II! II! II! II! II! II! II! II! II! II! II! II!
What is the decimal equivalent of 1/6 rounded to the nearest thousandth?
II! II! II! II! II! II! II! II! II! II! II!
a. 0.165
II!
b. 0.666
II!
c. 0.123
II!
d. 0.167
II!
e. 0.176 - Answer ✔✔ - d. Divide the numerator by the denominator:
II! II! II! II! II! II! II! II! II! II! II! II! II! II!
1 ÷ 6 = 0.166667. Round the answer to the
II! II! II! II! II! II! II! II! II!
thousandths place (three decimal places) to II! II! II! II! II!
get the answer 0.167.
II! II! II!
1/6 + 7/12 + 2/3 = II! II! II! II! II!
