Chapter 5 — cumulative chapter review
Semester 4A · Chapter 5 · 33 questions
This review integrates every chapter learning objective. Try questions before revealing answers.
Calculate 68 ÷ 4 by breaking apart the dividend.
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Decompose 68 into convenient multiples of 4; the resulting quotients sum to 17.
Estimate 1213 ÷ 8 to the nearest ten in the quotient.
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The exact quotient has whole-number part 151; rounding that to the nearest ten gives 150.
Divide 1,861 by 3. Give the quotient and remainder.
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1,861 = 3 × 620 + 1; the remainder 1 is less than 3.
795 pencils are packed 2 per box. How many full boxes can be filled, and how many pencils remain?
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Group by 2: 795 = 397 full groups of 2, plus 1 left.
A club has 435 tickets. After buying 49 more, they bundle tickets into packs of 7. How many full packs and tickets left?
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Add first: 484. Divide by 7: 69 packs, with 1 tickets remaining.
Calculate 117 ÷ 9 by breaking apart the dividend.
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Decompose 117 into convenient multiples of 9; the resulting quotients sum to 13.
Is 2498 ÷ 6 closer to 420 or 440?
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Compare compatible products with 6; the quotient is near 416, which is closer to 420.
Divide 1,671 by 3. Give the quotient and remainder.
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1,671 = 3 × 557 + 0; the remainder 0 is less than 3.
1,746 pencils are packed 8 per box. How many full boxes can be filled, and how many pencils remain?
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Group by 8: 1,746 = 218 full groups of 8, plus 2 left.
A club has 599 tickets. After buying 16 more, they bundle tickets into packs of 2. How many full packs and tickets left?
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Add first: 615. Divide by 2: 307 packs, with 1 tickets remaining.
Calculate 160 ÷ 8 by breaking apart the dividend.
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Decompose 160 into convenient multiples of 8; the resulting quotients sum to 20.
Estimate 2013 ÷ 8 to the nearest ten in the quotient.
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The exact quotient has whole-number part 251; rounding that to the nearest ten gives 250.
Divide 1,827 by 3. Give the quotient and remainder.
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1,827 = 3 × 609 + 0; the remainder 0 is less than 3.
744 pencils are packed 4 per box. How many full boxes can be filled, and how many pencils remain?
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Group by 4: 744 = 186 full groups of 4, plus 0 left.
A club has 848 tickets. After buying 20 more, they bundle tickets into packs of 2. How many full packs and tickets left?
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Add first: 868. Divide by 2: 434 packs, with 0 tickets remaining.
Calculate 88 ÷ 8 by breaking apart the dividend.
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Decompose 88 into convenient multiples of 8; the resulting quotients sum to 11.
Estimate 1474 ÷ 6 to the nearest ten in the quotient.
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The exact quotient has whole-number part 245; rounding that to the nearest ten gives 250.
Divide 2,793 by 9. Give the quotient and remainder.
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2,793 = 9 × 310 + 3; the remainder 3 is less than 9.
3,165 pencils are packed 8 per box. How many full boxes can be filled, and how many pencils remain?
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Group by 8: 3,165 = 395 full groups of 8, plus 5 left.
A club has 1,328 tickets. After buying 40 more, they bundle tickets into packs of 4. How many full packs and tickets left?
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Add first: 1,368. Divide by 4: 342 packs, with 0 tickets remaining.
Calculate 198 ÷ 9 by breaking apart the dividend.
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Decompose 198 into convenient multiples of 9; the resulting quotients sum to 22.
Is 1781 ÷ 7 closer to 250 or 270?
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Compare compatible products with 7; the quotient is near 254, which is closer to 250.
Divide 5,199 by 7. Give the quotient and remainder.
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5,199 = 7 × 742 + 5; the remainder 5 is less than 7.
270 pencils are packed 3 per box. How many full boxes can be filled, and how many pencils remain?
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Group by 3: 270 = 90 full groups of 3, plus 0 left.
A club has 656 tickets. After buying 60 more, they bundle tickets into packs of 6. How many full packs and tickets left?
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Add first: 716. Divide by 6: 119 packs, with 2 tickets remaining.
Calculate 279 ÷ 9 by breaking apart the dividend.
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Decompose 279 into convenient multiples of 9; the resulting quotients sum to 31.
Estimate 2919 ÷ 7 to the nearest ten in the quotient.
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The exact quotient has whole-number part 417; rounding that to the nearest ten gives 420.
A student solves 156 ÷ 6 by computing 120 ÷ 6 and 36 ÷ 6 and adding. Is this a valid mental strategy? Explain.
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156 is 120 + 36, and both parts divide by 6. The quotients 20 and 6 add to 26.
Estimate 2,462 ÷ 6 as about 400 or about 4,000. Explain the best estimate.
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2,400 ÷ 6 = 400, a close compatible-number estimate for 2,462 ÷ 6.
A student claims 4,315 ÷ 7 equals 616 remainder 4. Check using multiplication, and correct the remainder.
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7 × 616 = 4,312. To make 4,315, add remainder 3, which is less than 7.
807 children ride vans seating 4 children each. A student says 201 vans are sufficient because the quotient is 201 remainder 3. Explain and find the necessary number of vans.
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The 3 remaining children still need a van. The number of vans must be rounded up to 202.
1077 children ride vans seating 8 children each. A student says 134 vans are sufficient because the quotient is 134 remainder 5. Explain and find the necessary number of vans.
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The 5 remaining children still need a van. The number of vans must be rounded up to 135.
Calculate 225 ÷ 9 by breaking apart the dividend.
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Decompose 225 into convenient multiples of 9; the resulting quotients sum to 25.