Curriculum›4A›Chapter 5

Practice B: Division

Chapter 5 · Consolidation 2

Mixed consolidation. Attempt problems independently before revealing the solutions.

Question 1 · calculation

Calculate 85 ÷ 5 by breaking apart the dividend.

Show answer & reasoning
17

Decompose 85 into convenient multiples of 5; the resulting quotients sum to 17.

Question 2 · estimation

Is 3135 ÷ 9 closer to 350 or 370?

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350

Compare compatible products with 9; the quotient is near 348, which is closer to 350.

Question 3 · division

Divide 8,553 by 9. Give the quotient and remainder.

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950 R3

8,553 = 9 × 950 + 3; the remainder 3 is less than 9.

Question 4 · application

329 pencils are packed 2 per box. How many full boxes can be filled, and how many pencils remain?

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164 boxes, 1 pencils

Group by 2: 329 = 164 full groups of 2, plus 1 left.

Question 5 · multistep

A club has 694 tickets. After buying 54 more, they bundle tickets into packs of 6. How many full packs and tickets left?

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124 packs, 4 left

Add first: 748. Divide by 6: 124 packs, with 4 tickets remaining.

Question 6 · calculation

Calculate 261 ÷ 9 by breaking apart the dividend.

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29

Decompose 261 into convenient multiples of 9; the resulting quotients sum to 29.

Question 7 · estimation

Is 1059 ÷ 7 closer to 150 or 170?

Show answer & reasoning
150

Compare compatible products with 7; the quotient is near 151, which is closer to 150.

Question 8 · division

Divide 2,215 by 7. Give the quotient and remainder.

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316 R3

2,215 = 7 × 316 + 3; the remainder 3 is less than 7.

Question 9 · application

1,136 pencils are packed 3 per box. How many full boxes can be filled, and how many pencils remain?

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378 boxes, 2 pencils

Group by 3: 1,136 = 378 full groups of 3, plus 2 left.

Question 10 · multistep

A club has 780 tickets. After buying 8 more, they bundle tickets into packs of 2. How many full packs and tickets left?

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394 packs, 0 left

Add first: 788. Divide by 2: 394 packs, with 0 tickets remaining.

Question 11 · calculation

Calculate 66 ÷ 6 by breaking apart the dividend.

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11

Decompose 66 into convenient multiples of 6; the resulting quotients sum to 11.

Question 12 · estimation

Is 1452 ÷ 4 closer to 360 or 380?

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360

Compare compatible products with 4; the quotient is near 363, which is closer to 360.

Question 13 · division

Divide 4,114 by 5. Give the quotient and remainder.

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822 R4

4,114 = 5 × 822 + 4; the remainder 4 is less than 5.

Question 14 · application

621 pencils are packed 2 per box. How many full boxes can be filled, and how many pencils remain?

Show answer & reasoning
310 boxes, 1 pencils

Group by 2: 621 = 310 full groups of 2, plus 1 left.

Question 15 · multistep

A club has 3,244 tickets. After buying 81 more, they bundle tickets into packs of 9. How many full packs and tickets left?

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369 packs, 4 left

Add first: 3,325. Divide by 9: 369 packs, with 4 tickets remaining.

Question 16 · calculation

Calculate 116 ÷ 4 by breaking apart the dividend.

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29

Decompose 116 into convenient multiples of 4; the resulting quotients sum to 29.

Question 17 · estimation

Estimate 1388 ÷ 8 to the nearest ten in the quotient.

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170

The exact quotient has whole-number part 173; rounding that to the nearest ten gives 170.

Question 18 · division

Divide 4,823 by 6. Give the quotient and remainder.

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803 R5

4,823 = 6 × 803 + 5; the remainder 5 is less than 6.