Year 6 Explaining, convincing and proving

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?

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

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

This problem shows that the external angles of an irregular hexagon add to a circle.

Are these statements always true, sometimes true or never true?

Are these statements always true, sometimes true or never true?

You'll need to know your number properties to win a game of Statement Snap...

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

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

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Can you make doughnuts by matching these fractions, decimals and percentages?

Take three consecutive numbers and add them together. What do you notice?

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