Year 6 Working systematically

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?

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

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?

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?

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.

This activity involves rounding four-digit numbers to the nearest thousand.

What happens when you round these three-digit numbers to the nearest 100?

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.

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

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

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?

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

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

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

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.