Conjecturing and generalising

Which armies can be arranged in hollow square fighting formations?

What is special about the difference between squares of numbers adjacent to multiples of three?

What happens when you add a three digit number to its reverse?

'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?

Four strategy dice games to consolidate pupils' understanding of rounding.

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

This activity focuses on doubling multiples of five.

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?