List

Number and Place Value

Count the Crayons
problem
Favourite

Count the Crayons

Age
5 to 7
Challenge level
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How could you estimate the number of pencils/pens in these pictures?
Eightness of Eight
problem
Favourite

Eightness of Eight

Age
5 to 7
Challenge level
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What do you see as you watch this video? Can you create a similar video for the number 12?
Digit Addition
problem
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Digit Addition

Age
5 to 11
Challenge level
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Try out this number trick. What happens with different starting numbers? What do you notice?

How Many?
problem
Favourite

How Many?

Age
5 to 11
Challenge level
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Have a look at these photos of different fruit. How many do you see? How did you count?
Snail One Hundred
game
Favourite

Snail One Hundred

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

Biscuit Decorations
problem
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Biscuit Decorations

Age
5 to 7
Challenge level
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Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
Writing Digits
problem
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Writing Digits

Age
5 to 7
Challenge level
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Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?
Next Domino
problem
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Next Domino

Age
5 to 7
Challenge level
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Which comes next in each pattern of dominoes?
Buzzy Bee
problem
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Buzzy Bee

Age
5 to 7
Challenge level
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Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
Domino Sequences
problem
Favourite

Domino Sequences

Age
5 to 7
Challenge level
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Find the next two dominoes in these sequences.
Robot Monsters
problem
Favourite

Robot Monsters

Age
5 to 7
Challenge level
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Use these head, body and leg pieces to make Robot Monsters which are different heights.
Same Length Trains
problem
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Same Length Trains

Age
5 to 7
Challenge level
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How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
100 Square Jigsaw
problem
Favourite

100 Square Jigsaw

Age
5 to 7
Challenge level
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Can you complete this jigsaw of the 100 square?
Tug of War
problem
Favourite

Tug of War

Age
5 to 7
Challenge level
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Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Shut the box
problem
Favourite

Shut the box

Age
5 to 7
Challenge level
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An old game with lots of arithmetic!

Two-digit targets
problem
Favourite

Two-digit targets

Age
5 to 7
Challenge level
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You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

I Like ...
problem
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I Like ...

Age
5 to 7
Challenge level
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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Count The Digits
problem
Favourite

Count The Digits

Age
5 to 11
Challenge level
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In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
Dotty Six
problem
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Dotty Six

Age
5 to 11
Challenge level
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Dotty Six is a simple dice game that you can adapt in many ways.

Largest Even
problem
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Largest Even

Age
5 to 11
Challenge level
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How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
All Change
problem
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All Change

Age
5 to 7
Challenge level
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There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
How would we count?
problem
Favourite

How would we count?

Age
5 to 11
Challenge level
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An activity centred around observations of dots and how we visualise number arrangement patterns.

That number square
problem
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That number square

Age
5 to 11
Challenge level
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Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
Round the Two Dice
problem
Favourite

Round the Two Dice

Age
5 to 7
Challenge level
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This activity focuses on rounding to the nearest 10.
Five Steps to 50
problem
Favourite

Five Steps to 50

Age
5 to 7
Challenge level
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Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
6 Beads
problem
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6 Beads

Age
5 to 7
Challenge level
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If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Missing Middles
problem
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Missing Middles

Age
5 to 7
Challenge level
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Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?
Making Sticks
problem
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Making Sticks

Age
5 to 7
Challenge level
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Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?
Light the Lights
problem
Favourite

Light the Lights

Age
5 to 7
Challenge level
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Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

What's in a name?
problem
Favourite

What's in a name?

Age
5 to 7
Challenge level
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Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

Grouping Goodies
problem
Favourite

Grouping Goodies

Age
5 to 7
Challenge level
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Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?