List

Year 1 Exploring and noticing

Domino Sorting
problem

Domino Sorting

Age
5 to 7
Challenge level
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Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
Repeating Patterns
problem

Repeating Patterns

Age
5 to 7
Challenge level
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Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Shut the box
problem

Shut the box

Age
5 to 7
Challenge level
filled star empty star empty star
An old game but lots of arithmetic!
Sort them out (1)
problem

Sort them out (1)

Age
5 to 7
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?
Pairs of Numbers
problem

Pairs of Numbers

Age
5 to 7
Challenge level
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If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
Dotty Six
problem

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.
All Change
problem

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?
Different Sizes
problem

Different Sizes

Age
5 to 11
Challenge level
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A simple visual exploration into halving and doubling.
What Could \It Be?
problem

What Could \It Be?

Age
5 to 7
Challenge level
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In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Biscuit Decorations
problem

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

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?
One Big Triangle
problem

One Big Triangle

Age
5 to 7
Challenge level
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Make one big triangle so the numbers that touch on the small triangles add to 10.
Butterfly Flowers
problem

Butterfly Flowers

Age
5 to 7
Challenge level
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Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?
Ladybirds in the Garden
problem

Ladybirds in the Garden

Age
5 to 7
Challenge level
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In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?
Making Sticks
problem

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?
Halving
problem

Halving

Age
5 to 7
Challenge level
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These pictures show squares split into halves. Can you find other ways?
The Tall Tower
problem

The Tall Tower

Age
5 to 7
Challenge level
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As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Grouping Goodies
problem

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?