Year 4 Being resourceful

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Using the picture of the fraction wall, can you find equivalent fractions?

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Can you complete this jigsaw of the multiplication square?

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

There are nasty versions of this dice game but we'll start with the nice ones...

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

How do you know whether you will reach these numbers when you count in steps of six from zero?

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

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?

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

Four strategy dice games to consolidate pupils' understanding of rounding.

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?