List

Year 7 Visualising and representing

The Number Jumbler
problem

The Number Jumbler

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

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Your number is...
problem

Your number is...

Age
7 to 14
Challenge level
filled star empty star empty star
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Number Lines in Disguise
problem

Number lines in disguise

Age
7 to 14
Challenge level
filled star filled star empty star
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Remainders
problem

Remainders

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

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Odds, Evens and More Evens
problem

Odds, evens and more evens

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

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

Add to 200
problem

Add to 200

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

By selecting digits for an addition grid, what targets can you make?

Perimeter Challenge
problem

Perimeter challenge

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

Can you deduce the perimeters of the shapes from the information given?

Colourful Cube
problem

Colourful cube

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

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

Fractions Rectangle
problem

Fractions rectangle

Age
11 to 14
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 ten numbered shapes?
Up, down, flying around
game
Favourite

Up, down, flying around

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

Play this game to learn about adding and subtracting positive and negative numbers

Summing Consecutive Numbers
problem

Summing consecutive numbers

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

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Reflecting Squarely
problem

Reflecting squarely

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

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Shady Symmetry
problem

Shady symmetry

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

How many different symmetrical shapes can you make by shading triangles or squares?

Picturing Square Numbers
problem

Picturing square numbers

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

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

Number Pyramids
problem

Number pyramids

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

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Odds and Evens
problem

Odds and evens

Age
11 to 14
Challenge level
filled star empty star empty star
Are these games fair? How can you tell?
Mixing Lemonade
problem

Mixing lemonade

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

Can you work out which drink has the stronger flavour?

Perimeter Expressions
problem

Perimeter expressions

Age
11 to 14
Challenge level
filled star empty star empty star
Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
Sieve of Eratosthenes
problem

Sieve of Eratosthenes

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

Follow this recipe for sieving numbers and see what interesting patterns emerge.

More Number Pyramids
problem

More number pyramids

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

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Shear Magic
problem

Shear magic

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

Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

On the Edge
problem

On the edge

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

If you move the tiles around, can you make squares with different coloured edges?

Squares in rectangles
problem

Squares in rectangles

Age
11 to 14
Challenge level
filled star filled star empty star
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?
Searching for mean(ing)
problem

Searching for mean(ing)

Age
11 to 16
Challenge level
filled star filled star empty star
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?