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KS2 Maths reasoning (SATs) textbook

Chapter 1: Number reasoning

  • Strand Number
  • Level Year 6
  • Practice 94 questions with step-by-step solutions

KS2 SATs practice for reasoning (Year 6). Original questions in the style of the national tests. Content: Read, write, order and compare whole numbers up to 10,000,000 and find the value of each digit (Year 5-6), Use negative numbers in context and count through zero (Year 6), Round any whole number to a required degree of accuracy (Year 5-6), Use the order of operations, including brackets (Year 6), Solve multi-step problems and decide which operation to use (Year 5-6), Use factors, multiples and primes in problems (Year 5), Use estimation to check whether an answer is sensible, and explain a method (Year 5-6).

Open Year 6 chapter

By the end of this chapter you will be able to

  • Say the value of a digit from its column in a large number
  • Round a number to the nearest 10, 100, 1000 or 10,000 and explain the choice
  • Count through zero and find the difference between negative numbers
  • Use brackets and the order of operations to get the right answer
  • Solve a multi-step word problem and check it with an estimate

You should already know

  • Place value to 1,000,000 and rounding (Year 4 and Year 5 number)
  • The four operations with whole numbers (Year 5 number)

Where this leads

  • Fractions and decimals reasoning (Chapter 2 of this book)

Lessons in this chapter

  1. 1.1 Place value, comparing and rounding
  2. 1.2 Negative numbers and counting through zero
  3. 1.3 Order of operations and brackets
  4. 1.4 Factors, multiples and primes
  5. 1.5 Choosing the operation and checking the answer
  6. Summary and key words
  7. Check-up and practice test questions

Read the whole chapter on one page (good for printing).

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Maths reasoning (SATs) past papers