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Grade 6 Math Diagnostic — Answer Key
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1
B — 1 5/12
Common denominator 12: 9/12 + 8/12 = 17/12 = 1 5/12.
2
A — 1/3
5/6 − 3/6 = 2/6 = 1/3.
3
6.15
2.75 + 3.40 = 6.15.
4
5.35
9.60 − 4.25 = 5.35.
5
D — 27
4.5 × 6 = 27.
6
4.2
8.4 ÷ 2 = 4.2.
7
15 girls
10 ÷ 2 = 5, then 5 × 3 = 15.
8
B — 20
25% = 1/4, and 80 ÷ 4 = 20.
9
−7, −3, 0, 5
−7 < −3 < 0 < 5.
10
A — 22
4² = 16, 3 × 2 = 6, 16 + 6 = 22.
11
30 cm²
(10 × 6) ÷ 2 = 30 cm².
12
40 cm²
8 × 5 = 40 cm².
13
Rule: ×3. Next: 54
Each term is 3 times the one before: 18 × 3 = 54.
14
x = 8
15 − 7 = 8.
15
C — 60%
3 ÷ 5 = 0.6 = 60%.
16
B — 1/8
0.125 = 125/1000 = 1/8.
17
7
(4 + 8 + 6 + 10) ÷ 4 = 28 ÷ 4 = 7.
18
B — 90°
A right angle is exactly 90°.
19
B — 8
2 × 2 × 2 = 8.
20
7.5 cups
2.5 × 3 = 7.5 cups.
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