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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Digging Into Geometry

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Let's Investigate Triangles

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One Big Triangle

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Always, Sometimes or Never? KS1

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Matching Triangles

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Sizing Them Up

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Skeleton Shapes

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Jig Shapes

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Seeing Squares

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A Cartesian Puzzle

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Always, Sometimes or Never? Shape

Live
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Square Corners

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A Puzzling Cube

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Shape Draw

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Egyptian Rope

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Stringy Quads

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Fitted

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Treasure Hunt

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The activities in this Primary student feature will encourage you to dig deeply into geometrical ideas. You will be able to use your creative flair as you think about how you will approach each task, and there are plenty of opportunities to communicate your findings clearly.

Age 5 to 7

Challenge Level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Age 5 to 7

Challenge Level

Make one big triangle so the numbers that touch on the small triangles add to 10.

Age 5 to 7

Challenge Level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Age 5 to 7

Challenge Level

Can you sort these triangles into three different families and explain how you did it?

Age 5 to 7

Challenge Level

Can you put these shapes in order of size? Start with the smallest.

Age 5 to 7

Challenge Level

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Age 5 to 11

Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Age 5 to 11

Challenge Level

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.

Age 7 to 11

Challenge Level

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Age 7 to 11

Challenge Level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Age 7 to 11

Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Age 7 to 11

Challenge Level

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Age 7 to 14

Challenge Level

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