OPERATIONS

Column Addition

Learn the reliable method for column addition, then apply it to 11+ exam-style questions.

1 · WHAT YOU NEED TO KNOW

The idea

Accurate arithmetic keeps each digit in its correct place-value column.

Picture itLine up the operation one step at a time
Bowls, fruit, scales and a measuring jug showing ratio and measurement in baking
2 · THE METHOD

Follow these steps

  1. Align equal place values.
  2. Calculate from right to left, regrouping when necessary.
  3. Estimate first and use the inverse operation to check the result.
3 · WORKED EXAMPLES

See the method in action

Example 1

What is the total of 4,836 and 3,687?

  1. Align equal place values and carry from right to left; the total is 8,523.
Answer: 8,523
Example 2

Four grants total £15280. Three grants are £4808, £3678 and £2912. What is the fourth grant?

  1. Add the known grants: 4808 + 3678 + 2912 = 11398.
  2. Subtract from the target: 15280 − 11398 = 3882.
Answer: £3882
4 · ELEVENSPRINT TIP

A useful shortcut

Estimate first and use the inverse operation to check the result.

5 · COMMON MISTAKES

Watch out for these

6 · TRY IT YOURSELF

Three fresh questions

Ready to check the method? You will get three fresh, validated questions.