Year 6 Being resourceful

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?

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

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

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

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

How do you know if your set of dominoes is complete?

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

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...

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

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 fill in this table square? The numbers 2-12 were used to generate it with just one number used twice.

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

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?

The challenge for you is to make a string of six (or more!) graded cubes.

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?

What fraction of the black bar are the other bars? Have a go at this challenging task!

Can you compare these bars with each other and express their lengths as fractions of the black bar?

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?

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

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?