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Year 5 in England

4th grade number sense

19 4th 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 worksheetRiddle puzzle on screenBingo

Place value to one million

CCSS 4.NBT.A.1CCSS 4.NBT.A.2England: Y4 Number and place valueEngland: Y5 Number and place value

Example

What is the value of the digit 2 in 243 242?

  1. 2 × 1 = 2

Answer: 2

Builds on: Hundreds, tens and ones

Leads to: Round multi-digit numbers, Multiply and divide by 10, 100, 1000, Add and subtract multi-digit numbers, Place value to ten million

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Round multi-digit numbers

CCSS 4.NBT.A.3England: Y4 Number and place valueEngland: Y5 Number and place value

Example

Round 691 872 to the nearest 10 000.

  1. 691 872 lies between 690 000 and 700 000.
  2. 690 000

Answer: 690000

Builds on: Round to the nearest 10 or 100, Place value to one million

Leads to: Rounding: greatest and least possible numbers, Estimate products by rounding, Use rounding to check if an answer is reasonable

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Factors, multiples, primes

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

Example

Which number is a factor of 54?

  1. 54 ÷ 9 = 6
  2. So 9 is a factor of 54.

Answer: 9

Builds on: Times tables to 12 × 12

Leads to: Primes, squares and cubes, Greatest common factor and least common multiple, Add and subtract fractions with unlike denominators, Find factor pairs of a number

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Roman numerals

England: Y3 Number and place valueEngland: Y4 Number and place valueEngland: Y5 Number and place value

Example

What number is XV?

  1. Split XV into parts and add them.
  2. 15

Answer: 15

Builds on: Hundreds, tens and ones

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Place value names up to hundred thousands

CCSS 4.NBT.A.2England: Y5 Number and place value

Example

In 482 701, which place is the digit 4 in?

  1. hundred thousands

Answer: hundred thousands

Builds on: Value of a digit in four-digit numbers

Leads to: Expanded form of numbers up to 1 000 000, Read and write numbers to 1 000 000 in words, Compare and order numbers up to 1 000 000, A digit is worth ten times the place to its right

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Expanded form of numbers up to 1 000 000

CCSS 4.NBT.A.2England: Y5 Number and place value

Example

What is missing? 534 451 = 500 000 + 30 000 + 4000 + 400 + 50 + __

  1. 534 451 = 500 000 + 30 000 + 4000 + 400 + 50 + 1
  2. 1

Answer: 1

Builds on: Place value names up to hundred thousands, Write four-digit numbers in expanded form

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Read and write numbers to 1 000 000 in words

CCSS 4.NBT.A.2England: Y5 Number and place value

Example

Write in digits: four hundred thirty-two thousand seven hundred thirty-one

  1. 432 thousand, then 731.
  2. 432 731

Answer: 432731

Builds on: Read and write four-digit numbers in words, Place value names up to hundred thousands

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Compare and order numbers up to 1 000 000

CCSS 4.NBT.A.2England: Y5 Number and place value

Example

Choose the sign: 554 713 __ 624 713

  1. 554 713 < 624 713

Answer: <

Builds on: Order four-digit numbers, Place value names up to hundred thousands

Leads to: Compare and order numbers to ten million

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A digit is worth ten times the place to its right

CCSS 4.NBT.A.1England: Y5 Number and place value

Example

The value of 8 in 8000 is how many times the value of 8 in 800?

  1. 8000 ÷ 800
  2. 10

Answer: 10

Builds on: Place value names up to hundred thousands

Leads to: Multiply whole numbers by 10, 100 and 1000

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Rounding: greatest and least possible numbers

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

Example

A number rounds to 150 000 to the nearest 10 000. What is the greatest whole number it could be?

  1. 155 000 would round up, so go one less.
  2. 154 999

Answer: 154999

Builds on: Round multi-digit numbers, Rounding puzzles: which numbers round to …?

Leads to: Round whole numbers to any degree of accuracy

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Negative numbers in context

England: Y5 Number and place value

Example

A lift starts at floor −1 (below ground) and goes up 9 floors. Which floor does it stop at?

  1. −1 + 9 = 8

Answer: 8

Builds on: Count back through zero to negative numbers

Leads to: Calculate intervals across zero

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Roman numerals to M and years

England: Y5 Number and place value

Example

What number is DCCXIII?

  1. DCC = 700
  2. X = 10
  3. III = 3
  4. 713

Answer: 713

Builds on: Roman numerals I to C

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Count forwards and backwards in powers of 10

CCSS 4.NBT.A.1England: Y5 Number and place value

Example

Find the missing number: 214 209, 215 209, 216 209, __, 218 209

  1. The step is +1000.
  2. 217 209

Answer: 217209

Builds on: Find 10, 100 or 1000 more or less, Place value names up to hundred thousands

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Find factor pairs of a number

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

Example

6 × __ = 60. Complete the factor pair.

  1. 60 ÷ 6 = 10
  2. 6 × 10 = 60

Answer: 10

Builds on: Factors, multiples, primes

Leads to: Recognise multiples of a number, Prime or composite?, Common factors of two numbers

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Recognise multiples of a number

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

Example

Which is a multiple of 8?

  1. 8 × 14 = 112
  2. 112

Answer: 112

Builds on: Find factor pairs of a number

Leads to: Common multiples and the lowest common multiple

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Prime or composite?

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

Example

Is 25 prime or composite?

  1. Factors of 25: 1, 5, 25
  2. composite

Answer: composite

Builds on: Find factor pairs of a number

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Common factors of two numbers

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

Example

Which number is a common factor of 6 and 15?

  1. Common factors: 1, 3
  2. 3

Answer: 3

Builds on: Find factor pairs of a number

Leads to: Write a fraction in its simplest form

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Square numbers and the ² sign

CCSS 6.EE.A.1England: Y5 Multiplication and division

Example

Which of these is a square number?

  1. 3 × 3 = 9
  2. 9

Answer: 9

Builds on: Times tables to 12 × 12

Leads to: Cube numbers and the ³ sign

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Cube numbers and the ³ sign

CCSS 6.EE.A.1England: Y5 Multiplication and division

Example

What is 2³?

  1. 2 × 2 = 4
  2. 4 × 2 = 8

Answer: 8

Builds on: Square numbers and the ² sign

Leads to: Calculate with squares and cubes, Volume by counting layers of unit cubes

Print a worksheet✏️ Write on screenFlashcards

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4th grade Number sense: Practice and Worksheets | Eurekami