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Grade 7 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.
Answer key (parents) ← All diagnostics
1
−5 + 8 = ?
Answer:
2
−4 − 6 = ?
Answer:
3
(−3) × 4 = ?
Answer:
4
24 ÷ (−6) = ?
Answer:
5
3 + 4 × 2² = ? (Remember BEDMAS!)
A 19
B 28
C 35
D 56
6
(8 − 3)² ÷ 5 = ?
A 3
B 5
C 10
D 25
7
2/3 + 3/4 = ?
A 5/7
B 1 5/12
C 1 1/12
D 5/12
8
5/6 − 2/3 = ?
A 1/6
B 3/3
C 1/3
D 3/6
9
0.6 × 0.4 = ?
Answer:
10
3/8 as a percent is:
A 3.8%
B 37.5%
C 38%
D 0.375%
11
15% of 200 = ?
A 25
B 30
C 35
D 45
12
A class of 40 students is split in the ratio 3:5. How many students are in each group?
Answer:
13
Solve: 2x + 5 = 17
Answer:
14
Expand: 3(x + 4)
Answer:
15
Find the circumference of a circle with diameter 10 cm. (Use π = 3.14)
Answer:
16
Find the area of a parallelogram with base 12 cm and height 7 cm.
Answer:
17
2³ × 2² = ?
A 2⁵
B 2⁶
C 4⁵
D 64
18
A car travels 150 km in 3 hours. What is its unit rate (speed)?
Answer:
19
A price rises from $20 to $25. What is the percent increase?
A 20%
B 25%
C 30%
D 5%
20
The temperature is −12°C and rises by 15 degrees. What is the temperature now?
Answer:
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