Tutored by TeachersOntario-Certified Teachers • Brampton • (647) 624-8393
Grade 8 Math Diagnostic Test
20 questions • Ontario curriculum • About 30–40 minutes • No calculator
Student name:
Date:
Score: / 20
For parents: have your child work through this on their own, without help. Circle one letter for multiple-choice questions and show work in the boxes. Then check the answer key — any section with 2+ wrong answers is worth working on together.
A right triangle has legs of 6 cm and 8 cm. Find the hypotenuse.
Answer:
5
Solve: 3x − 7 = 20
Answer:
6
Solve: 5(x − 2) = 25
Answer:
7
Find the slope of the line through (0, 2) and (4, 10).
Answer:
8
2/5 ÷ 3/10 = ?
A 4/3
B 6/50
C 3/4
D 1 1/3
9
0.35 as a percent is:
A 3.5%
B 0.35%
C 35%
D 350%
10
18 is 30% of what number?
Answer:
11
Find the volume of a rectangular prism measuring 4 cm × 3 cm × 5 cm.
Answer:
12
Find the surface area of a cube with side length 5 cm.
Answer:
13
4.2 × 10³ = ?
A 420
B 4,200
C 42,000
D 0.0042
14
Simplify: (x³)(x⁴)
Answer:
15
If y = 2x + 1 and x = 4, what is y?
Answer:
16
A price drops from $50 to $40. What is the percent decrease?
A 10%
B 20%
C 25%
D 80%
17
Which statement is true?
A −3² = 9
B (−3)² = −9
C −3² = −9
D (−3)² = 9 and −3² = −9
18
7/8 − 1/4 = ?
Answer:
19
A phone plan costs $30 per month plus $0.10 per minute. What is the bill for 150 minutes?
Answer:
20
Which ordered pair lies on the line y = 3x − 2?
A (2, 4)
B (3, 7)
C (1, 2)
D (0, 2)
How did it go? Book a free trial session and we’ll build a plan around your child’s results.
tutoredbyteachers.ca • (647) 624-8393 • Springdale Library, Brampton
