This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

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### Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

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### Four Triangles Puzzle

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?

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### Seeing Squares

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.

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### The Third Dimension

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

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### Guess What?

Can you find out which 3D shape your partner has chosen before they work out your shape?

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### Seeing Parallelograms

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.

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### Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

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### A Puzzling Cube

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?

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### Square Corners

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?

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### Building Blocks

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

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### Diagonally Square

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

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### Round a hexagon

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

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### Always, Sometimes or Never? Shape

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

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### Stick images

This task requires learners to explain and help others, asking and answering questions.

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### Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

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### Six Places to Visit

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?

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### The Numbers give the design

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

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### Nine-Pin Triangles

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

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### What shape?

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.

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### Let Us Reflect

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

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### Counters in the middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

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### Making Cuboids

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?

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### Seeing Rhombuses

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 rhombus.

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### Cut Nets

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

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### Egyptian Rope

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?

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### Overlapping Again

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

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### Arranging cubes

A task which depends on members of the group working collaboratively to reach a single goal.

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### Making Rectangles

A task which depends on members of the group noticing the needs of others and responding.

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### Move those Halves

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

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### Sponge Sections

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.

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### Shapes on the Playground

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?

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### Quad match

A task which depends on members of the group noticing the needs of others and responding.

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### Stringy Quads

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

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### Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

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### Board Block Challenge

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

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### Triangles all Around

Can you find all the different triangles on these peg boards, and find their angles?

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### Inky Cube

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

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### Symmetry Challenge

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

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### ReflectoR ! RotcelfeR

Can you place the blocks so that you see the reflection in the picture?

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### Olympic Turns

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

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### Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

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### Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

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*ou may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.*