Exploring and noticing

How many moves does it take to swap over some red and blue frogs? Do you have a method?

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

Can you make square numbers by adding two prime numbers together?

The items in the shopping basket add and multiply to give the same amount. What could their prices be?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.