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Archive · November 1, 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.

1Evaluate the expression: 4^3

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Answer: 64
4^3 means 4 multiplied by itself 3 times, which equals 64.

2<strong>⚖️ Ratio Riddle</strong><br><br>A fruit basket has apples and oranges in a ratio of 4:7. There are 28 apples.<br><br><strong>How many oranges are in the basket?</strong>

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Answer: 49
Each ratio unit equals 28÷4=7. Oranges: 7×7=49.

3What is the least common multiple (LCM) of 40 and 36?

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Answer: 360
List multiples or use LCM = (40 × 36) ÷ GCF. GCF(40, 36) = 4, so LCM = 1440 ÷ 4 = 360.

4What is the least common multiple (LCM) of 18 and 72?

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Answer: 72
List multiples or use LCM = (18 × 72) ÷ GCF. GCF(18, 72) = 18, so LCM = 1296 ÷ 18 = 72.

5What is 60% of 90?

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Answer: 54
60% of 90 = (60/100) × 90 = 54.

6A recipe uses 3 cups of flour for every 8 cups of sugar. How many cups of flour are needed for 40 cups of sugar?

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Answer: 15
The ratio is 3:8. Multiply both parts by 5: 15:40.

7A recipe uses a ratio of 5 cups of flour to 2 cups of sugar. If a baker uses 30 cups of flour, how many cups of sugar are needed, keeping the same ratio?

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Answer: 12
Since 5:2 scales by a factor of 6 (because 5×6=30), sugar must also scale by 6: 2×6=12 cups.

8What is the greatest common factor (GCF) of 16 and 24?

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Answer: 8
The GCF of 16 and 24 is 8.

9A triangle has a base of 14 cm and a height of 12 cm. What is its area, in square centimeters?

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Answer: 84
Area = (base × height) ÷ 2, so the area is 84 square centimeters. A student who instead finds the perimeter or forgets to halve the product of a triangle's dimensions would select a distractor.

10Evaluate the expression 7x + 4 when x = 1.

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Answer: 11
Substitute x = 1: 7(1) + 4 = 7 + 4 = 11.

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