Math practice test, grades 9–10
10 free Math practice questions at Grades 9–10, with answers. 98 questions in the full bank, covering 7 topics.
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10 free practice questions
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- Question 1algebra
What is the gradient of the line passing through (1, 2) and (4, 8)?
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Answer: B
Gradient = (8−2)/(4−1) = 6/3 = 2.
- Question 2arithmetic
What is 15% of 260?
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Answer: B
10% = 26. 5% = 13. 15% = 26 + 13 = 39.
- Question 3geometry
What is the surface area of a cube with side length 5 cm?
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Answer: C
6 faces × 5² = 6 × 25 = 150 cm².
- Question 4number theory
Write 0.363636… as a fraction in its simplest form.
- Question 5probability
A bag has 4 red and 6 blue balls. One is drawn. What is P(not red)?
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Answer: D
P(blue) = 6/10 = 3/5.
- Question 6statistics
What is the range of: 12, 7, 19, 3, 15?
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Answer: D
Range = max − min = 19 − 3 = 16.
- Question 7vectors
Vector a = (3, −1) and vector b = (−2, 4). What is |2a + b|?
- Question 8algebra
y = 3x − 1. Find y when x = 4.
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Answer: C
y = 3(4) − 1 = 12 − 1 = 11.
- Question 9arithmetic
A car travels 150 miles in 2.5 hours. What is its average speed?
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Answer: B
Speed = distance ÷ time = 150 ÷ 2.5 = 60 mph.
- Question 10geometry
A cylinder has radius 4 cm and height 9 cm. What is the total surface area? (π ≈ 3.14)
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Answer: A
SA = 2πr² + 2πrh = 2π(16) + 2π(4)(9) = 32π + 72π = 104π ≈ 326.56 cm².
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Topics at this level
algebra · arithmetic · geometry · number theory · probability · statistics · vectors