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Year 5 in England

4th grade multiplication and division

20 4th grade multiplication and division skills, each with a worked example, free practice that checks every answer, and a printable worksheet. Start with a mixed review, or jump to the skill you need.

Mixed review

Ten questions drawn from every skill below.

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Multiply by a one-digit number

CCSS 4.NBT.B.5England: Y4 Multiplication and divisionEngland: Y5 Multiplication and division

Example

94 × 5 = ?

  1. 90 × 5 = 450
  2. 4 × 5 = 20
  3. 450 + 20 = 470

Answer: 470

Builds on: Multiply by multiples of 10, Properties of multiplication

Leads to: Multiply two-digit by two-digit numbers, Divide by a one-digit number, Multiply decimals, Convert units of length, mass, capacity and time

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Multiply two-digit by two-digit numbers

CCSS 4.NBT.B.5England: Y5 Multiplication and division

Example

Use long multiplication: 35 × 96

  1. 35 × 6 = 210
  2. 35 × 90 = 3150
  3. 210 + 3150 = 3360

Answer: 3360

Builds on: Multiply by a one-digit number

Leads to: Multi-digit multiplication, Long multiplication: three-digit by two-digit

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Division with remainders

CCSS 4.OA.A.3CCSS 4.NBT.B.6England: Y4 Multiplication and divisionEngland: Y5 Multiplication and division

Example

51 ÷ 9 = ? remainder 6. What is the missing quotient?

  1. 9 × 5 = 45
  2. 51 − 45 = 6
  3. 51 ÷ 9 = 5 remainder 6

Answer: 5

Builds on: Division facts

Leads to: Divide by a one-digit number, Decide what to do with a remainder, Write remainders as fractions or decimals, Fractions as division: sharing wholes equally

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Divide by a one-digit number

CCSS 4.NBT.B.6England: Y5 Multiplication and divisionEngland: Y6 Multiplication and division

Example

497 ÷ 7 = ?

  1. 7 × 71 = 497
  2. 497 ÷ 7 = 71

Answer: 71

Builds on: Division with remainders, Multiply by a one-digit number

Leads to: Divide by two-digit numbers, Divide decimals, Mean, median, mode and range

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Multiplicative comparison (times as many)

CCSS 4.OA.A.1CCSS 4.OA.A.2England: Y4 Multiplication and division

Example

Yuki has 4 badges. Arjun has 7 times as many. How many badges does Arjun have?

  1. 4 × 7 = 28

Answer: 28

Builds on: Times tables to 12 × 12

Leads to: Scaling problems: times as many and recipes

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Multiply whole numbers by 10, 100 and 1000

CCSS 4.NBT.A.1CCSS 5.NBT.A.2England: Y5 Multiplication and division

Example

640 × 100 = ?

  1. 640 × 100 = 64 000

Answer: 64000

Builds on: Multiply by multiples of 10, A digit is worth ten times the place to its right

Leads to: Divide whole numbers by 10, 100 and 1000, Multiply multiples of 10, 100 and 1000 mentally

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Divide whole numbers by 10, 100 and 1000

CCSS 4.NBT.A.1England: Y5 Multiplication and division

Example

510 000 ÷ 1000 = ?

  1. 510 000 ÷ 1000 = 510

Answer: 510

Builds on: Multiply whole numbers by 10, 100 and 1000

Leads to: Divide whole numbers by 10 or 100 to get decimals

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Multiply multiples of 10, 100 and 1000 mentally

CCSS 4.NBT.B.5England: Y5 Multiplication and division

Example

90 × 600 = ?

  1. 9 × 6 = 54
  2. 90 × 600 = 54 000

Answer: 54000

Builds on: Multiply whole numbers by 10, 100 and 1000

Leads to: Multiply two-digit numbers with an area model, Estimate products by rounding, Mental multiplication tricks: ×5, ×25, ×9, ×99 and doubling and halving

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Multiply a three-digit number by a one-digit number

CCSS 4.NBT.B.5England: Y4 Multiplication and division

Example

583 × 3 = ?

  1. 500 × 3 = 1500
  2. 80 × 3 = 240
  3. 3 × 3 = 9
  4. 1500 + 240 + 9 = 1749

Answer: 1749

Builds on: Multiply a two-digit number by a one-digit number by partitioning

Leads to: Multiply a four-digit number by a one-digit number, Multi-step word problems with whole numbers, Long multiplication: three-digit by two-digit, Multiply a decimal by a whole number

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Multiply a four-digit number by a one-digit number

CCSS 4.NBT.B.5England: Y5 Multiplication and division

Example

8079 × 2 = ?

  1. 8000 × 2 = 16000
  2. 70 × 2 = 140
  3. 9 × 2 = 18
  4. 16000 + 140 + 18 = 16158

Answer: 16158

Builds on: Multiply a three-digit number by a one-digit number

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Multiply two-digit numbers with an area model

CCSS 4.NBT.B.5England: Y5 Multiplication and division

Example

For 36 × 18, the area model has four parts: 30 × 10 = 300, 30 × 8 = ?, 6 × 10 = 60, 6 × 8 = 48. What is the missing part?

  1. 30 × 8 = 240

Answer: 240

Builds on: Break apart a multiplication (distributive property), Multiply multiples of 10, 100 and 1000 mentally

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Estimate products by rounding

CCSS 4.OA.A.3CCSS 4.NBT.B.5England: Y5 Number and place value

Example

Estimate 538 × 5 by rounding 538 to the nearest hundred.

  1. 538 ≈ 500
  2. 500 × 5 = 2500

Answer: 2500

Builds on: Multiply multiples of 10, 100 and 1000 mentally, Round multi-digit numbers

Leads to: Estimate to check multi-digit calculations, Divide three-digit numbers by two-digit numbers

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Divide a two-digit number by a one-digit number

CCSS 4.NBT.B.6England: Y4 Multiplication and division

Example

96 ÷ 6 = ?

  1. 96 = 60 + 36
  2. 60 ÷ 6 = 10, 36 ÷ 6 = 6
  3. 10 + 6 = 16

Answer: 16

Builds on: Divide by 6, 7 and 9

Leads to: Divide a three-digit number by a one-digit number

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Divide a three-digit number by a one-digit number

CCSS 4.NBT.B.6England: Y5 Multiplication and division

Example

965 ÷ 5 = ?

  1. 9 ÷ 5 = 1 r 4
  2. 46 ÷ 5 = 9 r 1
  3. 15 ÷ 5 = 3
  4. 965 ÷ 5 = 193

Answer: 193

Builds on: Divide a two-digit number by a one-digit number

Leads to: Divide a four-digit number by a one-digit number, Multi-step word problems with whole numbers, Divide three-digit numbers by two-digit numbers, Estimate quotients with compatible numbers

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Divide a four-digit number by a one-digit number

CCSS 4.NBT.B.6England: Y5 Multiplication and division

Example

2298 ÷ 6 = ?

  1. 22 ÷ 6 = 3 r 4
  2. 49 ÷ 6 = 8 r 1
  3. 18 ÷ 6 = 3
  4. 2298 ÷ 6 = 383

Answer: 383

Builds on: Divide a three-digit number by a one-digit number

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Decide what to do with a remainder

CCSS 4.OA.A.3England: Y5 Multiplication and division

Example

38 people are going on a trip. Each minibus holds 5 people. How many minibuses are needed so everyone can go?

  1. 38 ÷ 5 = 7 r 3
  2. Round up: 8 minibuses.
  3. 8

Answer: 8

Builds on: Division with remainders

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Divisibility tests for 2, 5 and 10

CCSS 4.OA.B.4England: Y5 Multiplication and division

Example

Is 6604 divisible by 2?

  1. The last digit is 4.
  2. yes

Answer: yes

Builds on: Odd and even numbers, Divide by 2, 5 and 10

Leads to: Divisibility tests for 3, 6 and 9 using digit sums

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Divisibility tests for 3, 6 and 9 using digit sums

CCSS 4.OA.B.4England: Y5 Multiplication and division

Example

Is 9100 divisible by 9?

  1. 9 + 1 + 0 + 0 = 10
  2. 10 is not divisible by 9.
  3. no

Answer: no

Builds on: Divisibility tests for 2, 5 and 10

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Multi-step word problems with whole numbers

CCSS 4.OA.A.3England: Y5 Multiplication and division

Example

A theatre has 20 rows of 23 seats. 407 tickets have been sold. How many seats are still free?

  1. 20 × 23 = 460
  2. 460 − 407 = 53

Answer: 53

Builds on: Multiply a three-digit number by a one-digit number, Divide a three-digit number by a one-digit number, Add and subtract multi-digit numbers

Leads to: Multi-step problems with larger numbers

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Scaling problems: times as many and recipes

CCSS 4.OA.A.2England: Y5 Multiplication and division

Example

A pancake recipe for 2 people uses 100 g of flour. How much flour is needed for 6 people?

  1. 6 ÷ 2 = 3
  2. 100 × 3 = 300
  3. 300 g

Answer: 300

Builds on: Multiplicative comparison (times as many)

Leads to: Approximate conversions between miles and kilometres

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4th grade Multiplication and division: Practice and Works...