List

Number Stage 4

Ordering cards
problem
Favourite

Ordering cards

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

This problem is designed to help children to learn, and to use, the two and three times tables.

Ring of Numbers
problem
Favourite

Ring of numbers

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

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

swimming pool
problem
Favourite

Swimming pool

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

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

Strike it out
problem
Favourite

Strike it out

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

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

problem
Favourite

Plants

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

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

Little Man
problem
Favourite

Little man

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

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Happy Halving
problem
Favourite

Happy halving

Age
5 to 7
Challenge level
filled star filled star filled star

Can you split each of the shapes below in half so that the two parts are exactly the same?

Same Shapes
problem

Same shapes

Age
5 to 7
Challenge level
filled star filled star filled star
How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?
The tomato and the bean
problem
Favourite

The tomato and the bean

Age
5 to 7
Challenge level
filled star filled star filled star

At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

Blackcurrantiest
problem
Favourite

Blackcurrantiest

Age
5 to 7
Challenge level
filled star filled star filled star
Can you decide whose drink has the strongest blackcurrant flavour from these pictures?
Nice or Nasty
problem
Favourite

Nice or nasty

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

There are nasty versions of this dice game but we'll start with the nice ones...

Sort them out (2)
problem

Sort them out (2)

Age
7 to 11
Challenge level
filled star empty star empty star
Can you each work out the number on your card? What do you notice? How could you sort the cards?
Take three numbers
problem
Favourite

Take three numbers

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

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Matching fractions
problem
Favourite

Matching fractions

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

Can you find different ways of showing the same fraction? Try this matching game and see.

Let us divide!
problem
Favourite

Let us divide!

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

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Sorting the Numbers
problem
Favourite

Sorting the numbers

Age
7 to 11
Challenge level
filled star empty star empty star
Can you put the numbers in the correct place in this Carroll diagram?
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?

The Mathemagician's Seven Spells
problem

The mathemagician's seven spells

Age
7 to 11
Challenge level
filled star empty star empty star
"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?
problem
Favourite

Which is quicker?

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

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

A Square of Numbers
problem
Favourite

A square of numbers

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

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Fractional Triangles
problem
Favourite

Fractional triangles

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

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

The Thousands Game
problem

The thousands game

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

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

What's in the Box?
problem
Favourite

What's in the box?

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

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Sea Level
problem
Favourite

Sea level

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

What numbers would you put on this number line as it goes under the sea level?

Magic Vs
problem
Favourite

Magic Vs

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

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Neighbours
problem
Favourite

Neighbours

Age
7 to 11
Challenge level
filled star filled star empty star
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
Amy's Dominoes
problem
Favourite

Amy's dominoes

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

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Mystery Matrix
problem
Favourite

Mystery matrix

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

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.