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 = ?
- 131 × 4 = 524
- 131 × 50 = 6550
- 524 + 6550 = 7074
Answer: 7074
Builds on: Multiply two-digit by two-digit numbers
Divide by two-digit numbers
CCSS 5.NBT.B.6England: Y6 Multiplication and division
Example
1026 ÷ 18 = ?
- 18 × 50 = 900
- 1026 − 900 = 126
- 126 ÷ 18 = 7
- 50 + 7 = 57
Answer: 57
Builds on: Divide by a one-digit number
Leads to: Long division fluently, Long division: four-digit by two-digit
Long multiplication: three-digit by two-digit
CCSS 5.NBT.B.5England: Y5 Multiplication and divisionEngland: Y6 Multiplication and division
Example
157 × 48 = ?
- 157 × 8 = 1256
- 157 × 40 = 6280
- 1256 + 6280 = 7536
Answer: 7536
Long multiplication: four-digit by two-digit
CCSS 5.NBT.B.5England: Y6 Multiplication and division
Example
1803 × 85 = ?
- 1803 × 5 = 9015
- 1803 × 80 = 144 240
- 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.
- 964 ≈ 1000, 28 ≈ 30
- 1000 × 30 = 30 000
Answer: 30000
Builds on: Estimate products by rounding
Mental multiplication tricks: ×5, ×25, ×9, ×99 and doubling and halving
CCSS 5.NBT.B.5England: Y6 Multiplication and division
Example
38 × 5 = ?
- 38 × 10 = 380, 380 ÷ 2 = 190
- 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 = ?
- 28 × 18 = 504
- 504 ÷ 28 = 18
Answer: 18
Long division: four-digit by two-digit
CCSS 5.NBT.B.6England: Y6 Multiplication and division
Example
8685 ÷ 15 = ?
- 8685 ÷ 15 = 579
- 15 × 579 = 8685
- 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.
- 31 ÷ 3 = 10 r 1
- 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?
- 181 ≈ 180
- 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?
- 8 × 32 = 256
- 256 ÷ 45 = 5 r 31
- 6
Answer: 6
Keep exploring
5th grade topic pages
More for 5th grade
Hands-on math tools
- Virtual fraction bars and fraction circles
- Interactive number line
- Virtual base ten blocks
- Multiplication arrays
- Interactive teaching clock
- Virtual money for counting practice
- Interactive coordinate plane
- Algebra balance scale
- Adding fractions with a model
- Virtual algebra tiles
- Alphabetical order game
- Virtual protractor and angle maker
- Area and perimeter builder
- Bar graph maker for kids
- Math by topicFractions, times tables, long division and more
- English and grammarNouns, verbs, commas, spelling and more
- Reading passagesShort stories with read-aloud and questions
- Science by gradePlants, forces, matter, space and more
- Printable worksheetsPrint, or do them on a tablet with a finger or pen
- Free math games3D games where every move is a math question
- Manipulatives and simulationsMath tools plus science sims: cells, atoms, forces, planets
- Fraction calculatorEvery step shown, from mixed numbers to simplest form
- Math 5-a-dayFive fresh warm-up questions every day
- Guides for parentsHow to help with fractions, tables, tests and more
Math, English and science that click.
