Working systematically

problem
Whose face?

Age

5 to 11

Challenge level

These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
problem
Snakes

Age

5 to 7

Challenge level

Explore the different snakes that can be made using 5 cubes.
problem
6 beads

Age

5 to 7

Challenge level

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?
problem
Two dice

Age

5 to 7

Challenge level

Find all the numbers that can be made by adding the dots on two dice.
problem
Red express train

Age

5 to 7

Challenge level

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
problem
Ladybird box

Age

5 to 11

Challenge level

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
problem
Five coins

Age

5 to 11

Challenge level

Ben has five coins in his pocket. How much money might he have?
problem
Four triangles puzzle

Age

5 to 11

Challenge level

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?
problem
Leap frog

Age

5 to 7

Challenge level

The brown frog and green frog want to swap places without getting wet. They can hop onto a lily pad next to them, or hop over each other. How could they do it?
problem
Three block towers

Age

5 to 7

Challenge level

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?