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Year 6 in England

5th grade multiplication and division

11 5th 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.

Multi-digit multiplication

CCSS 5.NBT.B.5England: Y5 Multiplication and divisionEngland: Y6 Multiplication and division

Example

131 × 54 = ?

  1. 131 × 4 = 524
  2. 131 × 50 = 6550
  3. 524 + 6550 = 7074

Answer: 7074

Divide by two-digit numbers

CCSS 5.NBT.B.6England: Y6 Multiplication and division

Example

1026 ÷ 18 = ?

  1. 18 × 50 = 900
  2. 1026 − 900 = 126
  3. 126 ÷ 18 = 7
  4. 50 + 7 = 57

Answer: 57

Long multiplication: three-digit by two-digit

CCSS 5.NBT.B.5England: Y5 Multiplication and divisionEngland: Y6 Multiplication and division

Example

157 × 48 = ?

  1. 157 × 8 = 1256
  2. 157 × 40 = 6280
  3. 1256 + 6280 = 7536

Answer: 7536

Long multiplication: four-digit by two-digit

CCSS 5.NBT.B.5England: Y6 Multiplication and division

Example

1803 × 85 = ?

  1. 1803 × 5 = 9015
  2. 1803 × 80 = 144 240
  3. 9015 + 144 240 = 153 255

Answer: 153255

Estimate to check multi-digit calculations

CCSS 5.NBT.B.5England: Y6 Number and place value

Example

Estimate 964 × 28 by rounding 964 to the nearest hundred and 28 to the nearest ten.

  1. 964 ≈ 1000, 28 ≈ 30
  2. 1000 × 30 = 30 000

Answer: 30000

Mental multiplication tricks: ×5, ×25, ×9, ×99 and doubling and halving

CCSS 5.NBT.B.5England: Y6 Multiplication and division

Example

38 × 5 = ?

  1. 38 × 10 = 380, 380 ÷ 2 = 190
  2. 38 × 5 = 190

Answer: 190

Divide three-digit numbers by two-digit numbers

CCSS 5.NBT.B.6England: Y6 Multiplication and division

Example

504 ÷ 28 = ?

  1. 28 × 18 = 504
  2. 504 ÷ 28 = 18

Answer: 18

Long division: four-digit by two-digit

CCSS 5.NBT.B.6England: Y6 Multiplication and division

Example

8685 ÷ 15 = ?

  1. 8685 ÷ 15 = 579
  2. 15 × 579 = 8685
  3. 579

Answer: 579

Write remainders as fractions or decimals

CCSS 5.NF.B.3England: Y6 Multiplication and divisionEngland: Y6 Fractions (including decimals)

Example

Write 31 ÷ 3 as a mixed number.

  1. 31 ÷ 3 = 10 r 1
  2. 10 1/3

Answer: 31/3

Estimate quotients with compatible numbers

CCSS 5.NBT.B.6England: Y6 Number and place value

Example

Which is the best estimate for 181 ÷ 3?

  1. 181 ≈ 180
  2. 180 ÷ 3 = 60

Answer: 60

Multi-step problems with larger numbers

CCSS 5.NBT.B.5CCSS 5.NBT.B.6England: Y6 Multiplication and division

Example

A school has 8 classes of 32 pupils. All go on a trip by coach. Each coach seats 45. How many coaches are needed?

  1. 8 × 32 = 256
  2. 256 ÷ 45 = 5 r 31
  3. 6

Answer: 6

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