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Archive · November 2, 2026

Grade 5 Math: 10 Free Practice Questions

A brand-new set of Grade 5 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.

1Priya has 5 test scores with an average of 15 points. 4 of the scores are 15, 12, 21 and 11. What is the missing score?

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Answer: 16
Step 1: total of all 5 scores if the average is 15 (15 × 5) = 75 Step 2: sum of the 4 known scores (15 + 12 + 21 + 11) = 59 Step 3: the missing score (75 − 59) = 16 So the answer is 16 — the missing score.

2A student evaluated 18 - 4 x 2 and got 28 by subtracting first. What is the correct value?

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Answer: 10
Multiplication before subtraction: 4 x 2 = 8, then 18 - 8 = 10. The student incorrectly computed 18 - 4 first.

3Estimate the quotient by rounding each number to the nearest whole number first: 24.49 ÷ 8.51

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Answer: 3
✅ Correct Answer: 3 🧒 For Kids: Round 24.49 to 24 and 8.51 to 9, then divide: 24 ÷ 9 ≈ 3. 💡 Tip: Pick rounded numbers that divide neatly when possible — but if they don't, round the quotient itself to the nearest whole number. 👨‍👩‍👧 For Parents: Watch for students who divide in the wrong order or round only the dividend.

4Box A is 6 × 5 × 4 feet. Box B is 8 × 3 × 5 feet. Which statement is true?

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Answer: Both boxes have the same volume.
Box A: 6 × 5 × 4 = 120. Box B: 8 × 3 × 5 = 120. They hold the same amount.

5What is the difference between 7.6 and 2.15?

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Answer: 5.45
Rewrite 7.6 as 7.60, then subtract: 7.60 - 2.15 = 5.45. Choice B is the result of an incorrect regrouping when subtracting the hundredths digit.

6An empty rectangular tank measures 30 cm by 20 cm by 25 cm. Water flows into it at a steady rate of 250 cubic centimeters per minute. How many minutes will it take to fill the tank completely?

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Answer: 60 minutes
It takes 60 minutes to fill the tank. First find the tank's volume: 30 × 20 × 25 = 15,000 cubic centimeters. Then divide the volume by the fill rate: 15,000 ÷ 250 = 60 minutes. Students may find the base area (30 × 20 = 600) and divide by the rate, ignoring the height, or make a place-value error when dividing 15,000 by 250.

7Which expression is 5 times as large as (18 - 6)?

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Answer: 5 x (18 - 6)
"5 times as large" means multiply the entire quantity (18 - 6) by 5.

8Without calculating, which comparison is true for 6 x (250 + 175) compared to (250 + 175)?

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Answer: It is 6 times as large
Multiplying the sum by 6 makes the result 6 times as large as the sum.

9A school orders 27 boxes of 144 pencils each. If pencils are then split evenly among 36 classrooms, how many pencils does each classroom get?

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Answer: 108
<p><strong>Step-by-Step Solution:</strong></p><p>This is a multi-step word problem requiring multiplication followed by division.</p><ol><li><strong>Calculate the Total Quantity:</strong> Multiply the number of boxes by the quantity in each box to establish the total inventory.<br>27 boxes &times; 144 pencils/box = <strong>3,888</strong> total pencils.</li><li><strong>Distribute the Quantity:</strong> Divide the total number of pencils evenly among the designated classrooms.<br>3,888 &divide; 36 classrooms = <strong>108</strong>.</li></ol><p>Each classroom receives exactly <strong>108</strong> pencils.</p>

10Point E is plotted on the coordinate grid below. What is the ordered pair for point E?

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Answer: (1, 6)
Point E is located 1 units to the right of the origin along the x-axis and 6 units up along the y-axis, so its ordered pair is (1, 6). The x-coordinate is always listed first.

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