Year 6 Being resilient

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

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

Use the information on these cards to draw the shape that is being described.

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?

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

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

There are lots of different methods to find out what the shapes are worth - how many can you find?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Can you find all the different triangles on these peg boards, and find their angles?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

How many solutions can you find to this sum? Each of the different letters stands for a different number.