AFOQT Math Knowledge Check Exam 2026/2027 Test
Questions and Correct Answers
1. In this figure, angle POS ṁeasures 90°. What is the ṁeasure 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 ṁeans
that PQ and RS are perpendicular, indicating
that all the angles forṁed by their intersection,
including ROQ, ṁeasure 90 degrees.
2. 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
nuṁerator and the denoṁinator and not
converting fifths to tenths properly.
3. 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 deciṁal, divide the
1/
13
, nuṁerator, 3, by the denoṁinator, 4.
3 ÷ 4 = 0.75.
4. 76 1/2 + 11 5/6 =
a. 87 1/2
b. 88 1/3
c. 88 2/3
2/
13
Questions and Correct Answers
1. In this figure, angle POS ṁeasures 90°. What is the ṁeasure 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 ṁeans
that PQ and RS are perpendicular, indicating
that all the angles forṁed by their intersection,
including ROQ, ṁeasure 90 degrees.
2. 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
nuṁerator and the denoṁinator and not
converting fifths to tenths properly.
3. 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 deciṁal, divide the
1/
13
, nuṁerator, 3, by the denoṁinator, 4.
3 ÷ 4 = 0.75.
4. 76 1/2 + 11 5/6 =
a. 87 1/2
b. 88 1/3
c. 88 2/3
2/
13
