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October 31, 2026
Archive · October 31, 2026
Grade 6 Math: 10 Free Practice Questions
A brand-new set of Grade 6 math practice questions every single day, with the
answer and a full explanation for each one. No account, no paywall — tap an answer to check it.
1Write an expression for "7 more than a number x."
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Answer: x + 7
"More than" means addition, so the expression is x + 7.
2A triangle has a base of 7 cm and a height of 6 cm. What is its area, in square centimeters?
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Answer: 21
Area = (base × height) ÷ 2, so the area is 21 square centimeters. A student who instead finds the perimeter or forgets to halve the product of a triangle's dimensions would select a distractor.
3What is 2/4 ÷ 4/2, written in simplest form?
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Answer: 1/4
Dividing by a fraction means multiplying by its reciprocal: 2/4 × 2/4 = 1/4.
4Solve for x: 6x = 66
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Answer: 11
Isolate x by applying the inverse operation to both sides of the equation, giving x = 11.
5A car travels at a constant speed and covers 48 miles in 8 hours. What is the car's unit rate in miles per hour?
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Answer: 6
Unit rate = total distance ÷ total time = 48 ÷ 8 = 6 miles per hour.
6What is -6 + 6?
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Answer: 0
Adding a negative and a positive integer: find the difference of absolute values and keep the sign of the number with greater absolute value: -6 + 6 = 0.
7Find the range of this data set: [2, 32, 33, 35, 39]
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Answer: 37
The range is the difference between the greatest and least values. For this data set, the range equals 37.
8Solve for x: 3x - 4 = 44
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Answer: 16
Isolate the variable: 3x = 48 (undo the subtraction), then divide both sides by 3 to get x = 16.
9A spinner is divided into 8 equal sections numbered 1-8. What is the probability of landing on a number greater than 5?
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Answer: 3/8
Numbers greater than 5 are 6, 7, 8 — 3 out of 8 sections, so P = 3/8.
10Evaluate the expression 9x + 2 when x = 2.
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Answer: 20
Substitute x = 2: 9(2) + 2 = 18 + 2 = 20.
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