Year 4 Being resilient

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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 square.

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

How many different triangles can you make on a circular pegboard that has nine pegs?

There are nasty versions of this dice game but we'll start with the nice ones...

Can you use the information to find out which cards I have used?

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

Find as many different ways of representing this number of dots as you can.

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.

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?

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

How many symmetric designs can you make on this grid? Can you find them all?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?