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Archive · October 28, 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.

1What is the value of 4^4?

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Answer: 256
4^4 means 4 multiplied by itself 4 times: 4 × 4 × 4 × 4 = 256.

2What is 4/2 ÷ 1/4, written in simplest form?

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Answer: 8/1
Dividing by a fraction means multiplying by its reciprocal: 4/2 × 4/1 = 8/1.

3Find the range of this data set: [4, 8, 16, 20, 27]

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Answer: 23
The range is the difference between the greatest and least values. For this data set, the range equals 23.

4Jayden splits 70 coins between group A and group B in the ratio 1:4. Group B then shares its part equally among 4 people. How many coins does each person in group B get?

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Answer: 14
Step 1: value of one ratio part (70 ÷ 5) = 14 Step 2: group A's share, which is 1 parts (1 × 14) = 14 Step 3: group B's share, which is 4 parts (4 × 14) = 56 Step 4: how many coins each of the 4 people in group B gets if they split B's share equally (56 ÷ 4) = 14 So the answer is 14 — each group-B person's share.

5A 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.

6On a coordinate plane, point A is at (-1, 8) and point B is at (-1, 2). What is the distance between points A and B?

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Answer: 6
Since points A and B share the same x-coordinate, the distance is the absolute difference of the y-coordinates: |2 - (8)| = 6 units.

7A recipe uses a ratio of 6 cups of flour to 5 cups of sugar. If a baker uses 18 cups of flour, how many cups of sugar are needed, keeping the same ratio?

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Answer: 15
Since 6:5 scales by a factor of 3 (because 6×3=18), sugar must also scale by 3: 5×3=15 cups.

8What is the value of 3^4?

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Answer: 81
3^4 means 3 multiplied by itself 4 times: 3 × 3 × 3 × 3 = 81.

9What is the value of 3^3?

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Answer: 27
3^3 means 3 multiplied by itself 3 times: 3 × 3 × 3 = 27.

10What is 33.4 - 4.0?

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Answer: 29.4
Performing the operation digit by digit with proper decimal alignment gives 33.4 - 4.0 = 29.4.

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