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Archive · October 30, 2026

Grade 4 Math: 10 Free Practice Questions

A brand-new set of Grade 4 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.

1Ben has 121 buttons to split evenly among 10 groups. Each group gets as many whole buttons as possible, with some left over. How many more buttons would Ben need to buy so that ALL 10 groups can have exactly 13 buttons each, with none left over?

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Answer: 9
Step 1: 121 buttons divided among 10 groups (121 ÷ 10) = 12 Step 2: buttons left over after giving every group 12 (121 − 10 × 12) = 1 Step 3: more buttons needed so the leftover group also gets 13 like a full group would need (10 − 1) = 9 Step 4: total extra buttons needed to make every group's share equal (9 × 1, since each missing group needs exactly 1 more) = 9 So the answer is 9 — extra buttons needed.

2Two parallel lines are cut by a transversal. The transversal creates an angle of 70° with one parallel line. What angle does it create with the other parallel line (corresponding angle)?

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Answer: 70°
<p><strong>Correct Answer: 70°</strong></p><ol><li>Corresponding angles are equal when parallel lines are cut by a transversal.</li><li>So the corresponding angle is also <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>70°</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Corresponding angles are equal with parallel lines!</div>

3Which fraction is equivalent to 2/4?

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Answer: 6/12
Multiplying the numerator and denominator by the same nonzero number produces an equivalent fraction: 2/4 = (2 × 3)/(4 × 3) = 6/12. Adding the same number to the numerator and denominator does not preserve the value.

4A bag contains exactly 9 blue, 7 red, 10 green, 2 purple marbles. Felix draws one marble without looking. Without replacing any marbles, which color is the most likely outcome of the draw?

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Answer: green
The bag holds 28 marbles in all. The color with the greatest count is most likely to be drawn. Since green has 10 marbles, more than any other color, green is the most likely outcome.

5What is the quotient when 473 is divided by 9?

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Answer: 52 R5
Divide: 473 ÷ 9. Since 9 × 52 = 468 and 473 − 468 = 5, the quotient is 52 with a remainder of 5. The remainder 5 is less than the divisor 9, so the division is complete.

6Four ribbons are cut so their lengths are 2/3 meter, 3/5 meter, 7/10 meter, and 3/4 meter. Which ribbon is the longest?

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Answer: 3/4 meter
The 3/4-meter ribbon is the longest. Rewrite each fraction with a common denominator of 60: 2/3 = 40/60, 3/5 = 36/60, 7/10 = 42/60, and 3/4 = 45/60. Comparing numerators, 45/60 is the greatest, so 3/4 meter is the longest. Students often assume the fraction with the largest numbers (7/10) is greatest without using a common denominator, so they pick 7/10.

7An L-shaped room is made by removing a 3-foot by 4-foot corner from a rectangle that is 10 feet long and 6 feet wide. What is the area of the L-shaped room?

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Answer: 48 square feet
The L-shaped room has an area of 48 square feet. Find the full rectangle's area: 10 × 6 = 60 square feet. Find the removed corner's area: 3 × 4 = 12 square feet. Subtract: 60 − 12 = 48 square feet. Students forget to subtract the removed corner and report the full rectangle's area of 60 square feet.

8The school library has 24,560 books. The district adds 8,745 new books and removes 3,218 damaged books. How many books are in the library now?

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Answer: 30,087
<p><strong>Correct Answer: 30,087</strong></p><ol><li>Add new books: 24,560 + 8,745 = 33,305.</li><li>Remove damaged: 33,305 - 3,218 = <span style='background:#bbf7d0;padding:2px 6px;border-radius:4px;font-weight:bold;'>30,087</span>.</li></ol><div style='background:#dbeafe;border-left:4px solid #3b82f6;padding:10px 14px;border-radius:6px;margin-top:10px;'><strong>Remember:</strong> Add increases and subtract decreases step by step!</div>

9A teacher has 158 beads to share among 21 students. Each student receives exactly 7 beads. How many beads are left over after the teacher hands them out?

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Answer: 11
The students receive 21 × 7 = 147 beads in all. Subtracting from the starting amount: 158 − 147 = 11 beads left over.

10The table shows the number of ribbons four students sold during a school project: Ravi, 352; Grace, 284; Liam, 418; Lena, 253. How many more ribbons did the student with the greatest amount have than the student with the least amount?

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Answer: 165
The greatest value in the table is 418 and the least is 253. The difference is 418 − 253 = 165.

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