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Archive · October 31, 2026

Grade 7 Math: 10 Free Practice Questions

A brand-new set of Grade 7 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.

1A right circular cylinder has a radius of 3 cm and a height of 10 cm, as shown. Using π ≈ 3.14, what is its total surface area, rounded to the nearest whole square centimeter?

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Answer: 245 cm²
SA = 2πr² + 2πrh = 2(3.14)(9) + 2(3.14)(3)(10) = 56.52 + 188.4 = 244.92 ≈ 245 cm².

2A car uses 1/8 of a tank of gas to travel 30 miles. At this rate, how far can it travel on a full tank?

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Answer: 240 miles
1/8 tank = 30 miles, so 1 full tank = 30 × 8 = 240 miles.

3A rectangular prism, shown below, has dimensions 9 cm by 6 cm by 3 cm. What is its volume?

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Answer: 162 cm³
V = 9×6×3 = 162 cm³.

4A newborn weighs 112 ounces. What is the baby's weight in pounds?

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Answer: 7 pounds
112 / 16 = 7 pounds.

5A price of $50 is decreased by 40%. What is the new price?

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Answer: $30
40% of 50 is 20. Subtract it: $30.

6A store's sale sign says "3 shirts for $27." A shopper wants only 5 shirts. If the unit price stays the same, how much will 5 shirts cost?

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Answer: $45
Unit price = $27 ÷ 3 = $9 per shirt. Then 5 × $9 = $45.

7A garden hose is 15 yards long. A second hose is 50 feet long. Which hose is longer, and by how much?

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Answer: The 50-foot hose, by 5 feet
15 yards = 15 x 3 = 45 feet. Since 50 feet > 45 feet, the 50-foot hose is longer by 50 - 45 = 5 feet.

8A bicycle normally costs $100. The store is having a 10% off sale. Maria has $95 saved up. If Maria buys the bicycle at the sale price, how much money is left over?

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Answer: 5
Step 1: amount taken off the $100 price at 10% off (100 × 10 ÷ 100) = 10 Step 2: the sale price after the discount (100 − 10) = 90 Step 3: money left from the $95 budget after buying it (95 − 90) = 5 So the answer is 5 — money left over after the sale.

9A recipe calls for 3/4 cup of sugar for every 1 1/2 cups of flour. What is the unit rate of sugar to flour?

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Answer: 1/2 cup sugar per cup flour
Divide (3/4) ÷ (3/2) = (3/4) × (2/3) = 1/2 cup of sugar per cup of flour.

10A right circular cylinder has radius 4 cm and height 9 cm, as shown. Using π ≈ 3.14, what is its volume, rounded to the nearest whole cubic centimeter?

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Answer: 452 cm³
V = πr²h = 3.14 × 16 × 9 = 3.14 × 144 = 452.16 ≈ 452 cm³.

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