List

Number Stage 4

Ring of Numbers
problem

Ring of numbers

Age
5 to 7
Challenge level
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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

Swimming pool

Age
5 to 11
Challenge level
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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

Strike it out

Age
5 to 11
Challenge level
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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Ordering cards
problem

Ordering cards

Age
5 to 11
Challenge level
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This problem is designed to help children to learn, and to use, the two and three times tables.

problem

Plants

Age
5 to 14
Challenge level
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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

Little man

Age
5 to 7
Challenge level
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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?

The vegetable garden
problem

The vegetable garden

Age
5 to 7
Challenge level
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Ben is planting garlic. Can you use the information to work out how many garlic cloves he has planted?
Fruit in a Bowl
problem

Fruit in a bowl

Age
5 to 7
Challenge level
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Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
Happy Halving
problem

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?

Same Shapes
problem

Same shapes

Age
5 to 7
Challenge level
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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

The tomato and the bean

Age
5 to 7
Challenge level
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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

Blackcurrantiest

Age
5 to 7
Challenge level
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Can you decide whose drink has the strongest blackcurrant flavour from these pictures?
problem

Rectangle tangle

Age
7 to 11
Challenge level
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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
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"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

Which is quicker?

Age
7 to 11
Challenge level
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Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

A Square of Numbers
problem

A square of numbers

Age
7 to 11
Challenge level
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Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Fractional Triangles
problem

Fractional triangles

Age
7 to 11
Challenge level
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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
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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

What's in the box?

Age
7 to 11
Challenge level
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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

Sea level

Age
7 to 11
Challenge level
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What numbers would you put on this number line as it goes under the sea level?

Magic Vs
problem

Magic Vs

Age
7 to 11
Challenge level
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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Nice or Nasty
problem

Nice or nasty

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

Take three numbers

Age
7 to 11
Challenge level
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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Matching fractions
problem

Matching fractions

Age
7 to 11
Challenge level
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Can you find different ways of showing the same fraction? Try this matching game and see.

Let us divide!
problem

Let us divide!

Age
7 to 11
Challenge level
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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?

Journeying in Numberland
problem

Journeying in Numberland

Age
7 to 11
Challenge level
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Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

Sorting the Numbers
problem

Sorting the numbers

Age
7 to 11
Challenge level
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Can you put the numbers in the correct place in this Carroll diagram?
Neighbours
problem

Neighbours

Age
7 to 11
Challenge level
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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

Amy's dominoes

Age
7 to 11
Challenge level
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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

Mystery matrix

Age
7 to 11
Challenge level
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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.