Being resilient

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

Use your knowledge of place value to try to win this game. How will you maximise your score?

Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.

Can you find pairs of differently sized windows that cost the same?

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?