List

Saying What You See - Upper 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.

Fair Feast
problem
Favourite

Fair Feast

Age
5 to 11
Challenge level
filled star empty star empty star

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

Sitting round the party tables
problem
Favourite

Sitting round the party tables

Age
5 to 11
Challenge level
filled star empty star empty star
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Rectangle Tangle
problem
Favourite

Rectangle Tangle

Age
7 to 11
Challenge level
filled star empty star empty star

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Brush Loads
problem
Favourite

Brush Loads

Age
7 to 11
Challenge level
filled star empty star empty star

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Cubes Here and There
problem

Cubes Here and There

Age
7 to 11
Challenge level
filled star empty star empty star
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
The Numbers give the design
problem
Favourite

The Numbers give the design

Age
7 to 11
Challenge level
filled star empty star empty star
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Stick images
problem
Favourite

Stick images

Age
7 to 14
Challenge level
filled star empty star empty star

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

Eye View
problem

Eye View

Age
7 to 11
Challenge level
filled star empty star empty star
Why does the tower look a different size in each of these pictures?
Cuisenaire Spirals
problem

Cuisenaire Spirals

Age
7 to 11
Challenge level
filled star empty star empty star
Can you make arrange Cuisenaire rods so that they make a 'spiral' with right angles at the corners?
Tumbling Down
problem
Favourite

Tumbling Down

Age
7 to 11
Challenge level
filled star empty star empty star

Watch this animation. What do you see? Can you explain why this happens?

Picture a Pyramid ...
problem
Favourite

Picture a Pyramid

Age
7 to 11
Challenge level
filled star filled star empty star

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

Display Boards
problem

Display Boards

Age
7 to 11
Challenge level
filled star filled star empty star
Design an arrangement of display boards in the school hall which fits the requirements of different people.
Fraction Fascination
problem
Favourite

Fraction Fascination

Age
7 to 11
Challenge level
filled star filled star filled star

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Inky Cube
problem
Favourite

Inky Cube

Age
7 to 14
Challenge level
filled star filled star filled star

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?

Ribbon Squares
problem
Favourite

Ribbon Squares

Age
7 to 11
Challenge level
filled star filled star filled star

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

Square It
problem
Favourite

Square It

Age
11 to 16
Challenge level
filled star empty star empty star

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.