Tutored by Teachers
Tutored by TeachersOntario-Certified Teachers • Brampton • (647) 624-8393

Grade 8 Math Diagnostic — Answer Key

Parents only, please! Keep this page away from your child until they have finished the test.
← Back to the test All diagnostics Book a free trial
1
A — 3⁵ (= 243)
Add the exponents: 32+3 = 3⁵ = 243.
2
−8
(−2)(−2)(−2) = −8.
3
A — 12
12 × 12 = 144.
4
10 cm
6² + 8² = 36 + 64 = 100; √100 = 10 cm.
5
x = 9
3x = 27, so x = 9.
6
x = 7
x − 2 = 5, so x = 7.
7
2
Slope = (10 − 2) ÷ (4 − 0) = 8 ÷ 4 = 2.
8
A — 4/3
2/5 × 10/3 = 20/15 = 4/3.
9
C — 35%
0.35 × 100 = 35%.
10
60
18 ÷ 0.30 = 60.
11
60 cm³
4 × 3 × 5 = 60 cm³.
12
150 cm²
One face = 25 cm²; 6 × 25 = 150 cm².
13
B — 4,200
10³ = 1,000; 4.2 × 1,000 = 4,200.
14
x⁷
Add the exponents: x3+4 = x⁷.
15
9
y = 2(4) + 1 = 9.
16
B — 20%
Decrease = $10; 10 ÷ 50 = 0.20 = 20%.
17
D
(−3)² = 9, but −3² = −(3²) = −9.
18
5/8
7/8 − 2/8 = 5/8.
19
$45
$30 + (150 × $0.10) = $30 + $15 = $45.
20
B — (3, 7)
y = 3(3) − 2 = 7. ✓
3 or more wrong in one topic? That’s exactly what our tutors fix first — book a free trial.
tutoredbyteachers.ca • (647) 624-8393 • Springdale Library, Brampton