Year 4 Working systematically

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

On the planet Vuv there are two sorts of creatures. The Zias have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zias and how many Zepts were there?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

How many different triangles can you make on a circular pegboard that has nine pegs?

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

Use the clues about the symmetrical properties of these letters to place them on the grid.

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

Can you use the information to find out which cards I have used?

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

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

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

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.

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?

How many symmetric designs can you make on this grid? Can you find them all?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

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?