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Grade 7 Math Diagnostic — Answer Key
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1
3
−5 + 8 = 3.
2
−10
−4 − 6 = −10.
3
−12
Negative × positive = negative.
4
−4
Positive ÷ negative = negative.
5
A — 19
2² = 4, 4 × 4 = 16, 3 + 16 = 19.
6
B — 5
(8 − 3) = 5, 5² = 25, 25 ÷ 5 = 5.
7
B — 1 5/12
Common denominator 12: 8/12 + 9/12 = 17/12 = 1 5/12.
8
A — 1/6
5/6 − 4/6 = 1/6.
9
0.24
6 × 4 = 24, with two decimal places: 0.24.
10
B — 37.5%
3 ÷ 8 = 0.375 = 37.5%.
11
B — 30
10% of 200 = 20, 5% = 10, so 15% = 30.
12
15 and 25
3 + 5 = 8 parts; 40 ÷ 8 = 5; 3 × 5 = 15, 5 × 5 = 25.
13
x = 6
2x = 12, so x = 6.
14
3x + 12
3 × x + 3 × 4 = 3x + 12.
15
31.4 cm
C = πd = 3.14 × 10 = 31.4 cm.
16
84 cm²
12 × 7 = 84 cm².
17
A — 2⁵ (= 32)
Add the exponents: 2
3+2
= 2⁵ = 32.
18
50 km/h
150 ÷ 3 = 50 km/h.
19
B — 25%
Increase = $5; 5 ÷ 20 = 0.25 = 25%.
20
3°C
−12 + 15 = 3°C.
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