Curriculum›4A›Chapter 5

Practice A: Division

Chapter 5 · Consolidation 1

Mixed consolidation. Attempt problems independently before revealing the solutions.

Question 1 · calculation

Calculate 84 ÷ 4 by breaking apart the dividend.

Show answer & reasoning
21

Decompose 84 into convenient multiples of 4; the resulting quotients sum to 21.

Question 2 · estimation

Is 122 ÷ 2 closer to 60 or 80?

Show answer & reasoning
60

Compare compatible products with 2; the quotient is near 61, which is closer to 60.

Question 3 · division

Divide 5,188 by 6. Give the quotient and remainder.

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864 R4

5,188 = 6 × 864 + 4; the remainder 4 is less than 6.

Question 4 · application

445 pencils are packed 4 per box. How many full boxes can be filled, and how many pencils remain?

Show answer & reasoning
111 boxes, 1 pencils

Group by 4: 445 = 111 full groups of 4, plus 1 left.

Question 5 · multistep

A club has 1,511 tickets. After buying 28 more, they bundle tickets into packs of 4. How many full packs and tickets left?

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384 packs, 3 left

Add first: 1,539. Divide by 4: 384 packs, with 3 tickets remaining.

Question 6 · calculation

Calculate 102 ÷ 6 by breaking apart the dividend.

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17

Decompose 102 into convenient multiples of 6; the resulting quotients sum to 17.

Question 7 · estimation

Is 915 ÷ 4 closer to 230 or 250?

Show answer & reasoning
230

Compare compatible products with 4; the quotient is near 228, which is closer to 230.

Question 8 · division

Divide 1,825 by 6. Give the quotient and remainder.

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304 R1

1,825 = 6 × 304 + 1; the remainder 1 is less than 6.

Question 9 · application

1,476 pencils are packed 7 per box. How many full boxes can be filled, and how many pencils remain?

Show answer & reasoning
210 boxes, 6 pencils

Group by 7: 1,476 = 210 full groups of 7, plus 6 left.

Question 10 · multistep

A club has 2,098 tickets. After buying 45 more, they bundle tickets into packs of 5. How many full packs and tickets left?

Show answer & reasoning
428 packs, 3 left

Add first: 2,143. Divide by 5: 428 packs, with 3 tickets remaining.

Question 11 · calculation

Calculate 84 ÷ 6 by breaking apart the dividend.

Show answer & reasoning
14

Decompose 84 into convenient multiples of 6; the resulting quotients sum to 14.

Question 12 · estimation

Estimate 2177 ÷ 5 to the nearest ten in the quotient.

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440

The exact quotient has whole-number part 435; rounding that to the nearest ten gives 440.

Question 13 · division

Divide 2,547 by 7. Give the quotient and remainder.

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363 R6

2,547 = 7 × 363 + 6; the remainder 6 is less than 7.

Question 14 · application

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

Show answer & reasoning
393 boxes, 1 pencils

Group by 2: 787 = 393 full groups of 2, plus 1 left.

Question 15 · multistep

A club has 2,380 tickets. After buying 14 more, they bundle tickets into packs of 7. How many full packs and tickets left?

Show answer & reasoning
342 packs, 0 left

Add first: 2,394. Divide by 7: 342 packs, with 0 tickets remaining.

Question 16 · calculation

Calculate 144 ÷ 8 by breaking apart the dividend.

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18

Decompose 144 into convenient multiples of 8; the resulting quotients sum to 18.

Question 17 · estimation

Estimate 692 ÷ 2 to the nearest ten in the quotient.

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350

The exact quotient has whole-number part 346; rounding that to the nearest ten gives 350.

Question 18 · division

Divide 1,617 by 2. Give the quotient and remainder.

Show answer & reasoning
808 R1

1,617 = 2 × 808 + 1; the remainder 1 is less than 2.