Mental Calculation

  1. Step 1
    Know by heart all addition and subtraction facts for each number to 20. View step.

     
    Add and subtract mentally a 'near multiple of 10' to or from a two-digit number. View step.

     
    Understand division as grouping or sharing and recognise that division is the inverse of multiplication. View step.

     
    Know by heart facts for the 2, 5 and 10 multiplication tables. View step.

  2. Step 2
    Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers. View step.

     
    Know by heart multiplication facts for the 2, 3, 4, 5 and 10 times tables. View step.

     
    Derive quickly division facts corresponding to the 2, 3, 4, 5 and 10 multiplication tables. View step.

     
    Find remainders after division. View step.

  3. Step 3
    Know by heart all multiplication facts up to 10 × 10. View step.

     
    Find differences by counting up through next multiple of 10, 100 or 1000, e.g. calculate mentally a difference such as 8006 – 2993. View step.

     
    Use known number facts and place value to consolidate mental addition and subtraction. View step.

  4. Step 4
    Derive quickly division facts corresponding to multiplication tables up to 10 × 10. View step.

  5. Step 5
    Consolidate and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple word problems mentally. View step.

Steps 6 to 10