Year 6 in England

5th grade number sense

8 5th grade number sense 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.

Print a review worksheet Riddle puzzle on screen Bingo

Multiply and divide by 10, 100, 1000

CCSS 5.NBT.A.1CCSS 5.NBT.A.2England: Y5 Multiplication and divisionEngland: Y6 Fractions (including decimals)

Example

73.7 ÷ 10 = ?

Shift the digits 1 place.
73.7 ÷ 10 = 7.37

Answer: 7.37

Builds on: Place value to one million, Tenths and hundredths as decimals

Leads to: Scientific notation (standard form), Decimals to thousandths, Convert metric units with decimals, Powers of ten and place value

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Primes, squares and cubes

CCSS 6.EE.A.1England: Y5 Multiplication and divisionEngland: Y6 Number

Example

8² = ?

8 × 8 = 64

Answer: 64

Builds on: Factors, multiples, primes

Leads to: Prime factorisation, Whole-number exponents, Square roots and cube roots, Tell prime numbers from composite numbers

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Place value to ten million

CCSS 5.NBT.A.1England: Y6 Number and place value

Example

What is the value of the digit 9 in 8 429 631?

It is in the thousands place.
9000

Answer: 9000

Builds on: Place value names up to hundred thousands, Place value to one million

Leads to: Compare and order numbers to ten million, Round whole numbers to any degree of accuracy, Add and subtract with numbers into the millions

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Compare and order numbers to ten million

CCSS 5.NBT.A.1England: Y6 Number and place value

Example

Choose the sign: 3 743 606 __ 100 000

3 743 606 > 100 000

Answer: >

Builds on: Place value to ten million, Compare and order numbers up to 1 000 000

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Round whole numbers to any degree of accuracy

CCSS 4.NBT.A.3England: Y6 Number and place value

Example

Round 9 313 527 to the nearest ten thousand.

9 310 000

Answer: 9310000

Builds on: Rounding: greatest and least possible numbers, Place value to ten million

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Calculate intervals across zero

CCSS 6.NS.C.7England: Y6 Number and place value

Example

One winter morning: Oslo −3 °C, Madrid 4 °C, Moscow −14 °C. What is the difference in temperature between Madrid and Moscow?

4 − (−14) = 18

Answer: 18

Builds on: Negative numbers in context

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Common multiples and the lowest common multiple

CCSS 6.NS.B.4England: Y6 Number – multiplication and division

Example

What is the lowest common multiple of 3 and 4?

Multiples of 4: 4, 8, 12, 16, 20
12

Answer: 12

Builds on: Recognise multiples of a number

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Calculate with squares and cubes

CCSS 6.EE.A.1England: Y6 Number – multiplication and division

Example

2² + 5³ = ?

2² = 4
5³ = 125
4 + 125 = 129

Answer: 129

Builds on: Cube numbers and the ³ sign

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Keep exploring

5th grade topic pages

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