List

Saying What You See - Lower Primary Students

You and your friends are probably quite good at imagining things and seeing things in lots of different ways. Here you'll put that to use in doing some maths challenges.

Let's Investigate Triangles
problem
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Let's Investigate Triangles

Age
5 to 7
Challenge level
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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?

Chairs and Tables
problem
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Chairs and Tables

Age
5 to 7
Challenge level
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Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Matching Triangles
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Matching Triangles

Age
5 to 7
Challenge level
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Can you sort these triangles into three different families and explain how you did it?

How Many Pieces?
problem

How Many Pieces?

Age
5 to 7
Challenge level
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How many loops of string have been used to make these patterns?
Holes
problem
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Holes

Age
5 to 11
Challenge level
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I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

So it's 28
problem

So it's 28

Age
5 to 7
Challenge level
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Here is your chance to investigate the number 28 using shapes, cubes ... in fact anything at all.
Sorting Logic Blocks
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Sorting Logic Blocks

Age
5 to 11
Challenge level
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This activity focuses on similarities and differences between shapes.

Poly Plug Rectangles
problem
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Poly Plug Rectangles

Age
5 to 11
Challenge level
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The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Poly Plug Pattern
problem
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Poly Plug Pattern

Age
5 to 7
Challenge level
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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Teddy Town
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Teddy Town

Age
5 to 11
Challenge level
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There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Four Colours
problem

Four Colours

Age
5 to 11
Challenge level
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Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
Two on Five
problem

Two on Five

Age
5 to 11
Challenge level
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Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?
Hundred Square
problem
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Hundred Square

Age
5 to 11
Challenge level
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A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Making Shapes
problem

Making Shapes

Age
5 to 7
Challenge level
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Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Caterpillars
problem
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Caterpillars

Age
5 to 7
Challenge level
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These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Building with Cubes
problem

Building with Cubes

Age
5 to 7
Challenge level
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Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?
Teddy Town
problem

Teddy Town - Part two

Age
5 to 11
Challenge level
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There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Teddy Town
problem

Teddy Town - Part three

Age
5 to 11
Challenge level
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There are sixteen teddies in Teddy Town - four red, four blue, four yellow and four green. There are also sixteen houses, four of each colour. Can you put them on the map of Teddy Town according to the rules?

Teddy Town
problem

Teddy Town - Part four

Age
5 to 11
Challenge level
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There are twenty five teddies in Teddy Town - five red, five blue, five yellow, five green and five purple. There are also twenty five houses, five of each colour. Can you put them on the map of Teddy Town according to the rules?

Teddy Town
problem

Teddy Town - Part five

Age
5 to 11
Challenge level
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There are thirty six teddies in Teddy Town - six red, six blue, six yellow, six green, six purple and six turquoise. There are also thirty six houses, six of each colour. Can you put them on the map of Teddy Town according to the rules?

Happy Halving
problem
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Happy Halving

Age
5 to 7
Challenge level
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Can you split each of the shapes below in half so that the two parts are exactly the same?

Start Cube Drilling
problem

Start Cube Drilling

Age
5 to 7
Challenge level
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Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?
Square It
problem
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Square It

Age
11 to 16
Challenge level
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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.