Conjecturing and generalising

problem
Five steps to 50

Age

5 to 7

Challenge level

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

Age

7 to 11

Challenge level

This challenge encourages you to explore dividing a three-digit number by a single-digit number.
problem
Sums and differences 2

Age

7 to 11

Challenge level

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?
problem
Sums and differences 1

Age

7 to 11

Challenge level

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
problem
Unit differences

Age

5 to 7

Challenge level

This challenge is about finding the difference between numbers which have the same tens digit.
$What Could \It Be?$

problem
What could it be?

Age

5 to 7

Challenge level

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
problem
Multiply multiples 3

Age

7 to 11

Challenge level

Have a go at balancing this equation. Can you find different ways of doing it?
problem
Round the dice decimals 1

Age

7 to 11

Challenge level

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
problem
Round the three dice

Age

7 to 11

Challenge level

What happens when you round these three-digit numbers to the nearest 100?
problem
Round the two dice

Age

5 to 7

Challenge level

This activity focuses on rounding to the nearest 10.