List

Year 3 Conjecturing and Generalising

Strike it out
problem
Favourite

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.

Square Corners
problem
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Square Corners

Age
7 to 11
Challenge level
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What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Number Differences
problem
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Number Differences

Age
7 to 11
Challenge level
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Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Real Statistics
problem
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Real Statistics

Age
7 to 11
Challenge level
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Have a look at this table of how children travel to school. How does it compare with children in your class?

Music to my Ears
problem
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Music to my Ears

Age
7 to 11
Challenge level
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Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
Magic Vs
problem
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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?

Follow the numbers
problem
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Follow the numbers

Age
7 to 11
Challenge level
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What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Journeys in Numberland
problem
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Journeys 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.

Class 5's names
problem
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Class 5's names

Age
7 to 11
Challenge level
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Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

The Domesday Project
problem
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The Domesday Project

Age
7 to 11
Challenge level
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Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

Take three numbers
problem
Favourite

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?

Play to 37
problem
Favourite

Play to 37

Age
7 to 11
Challenge level
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In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
Build it up
problem
Favourite

Build it up

Age
7 to 11
Challenge level
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Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Consecutive Numbers
problem
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Consecutive Numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Which Scripts?
problem
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Which Scripts?

Age
7 to 11
Challenge level
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There are six numbers written in five different scripts. Can you sort out which is which?
Got It
problem
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Got It

Age
7 to 14
Challenge level
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A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Three neighbours
problem
Favourite

Three neighbours

Age
7 to 14
Challenge level
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Take three consecutive numbers and add them together. What do you notice?
This Pied Piper of Hamelin
problem
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This Pied Piper of Hamelin

Age
7 to 11
Challenge level
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Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Amy's Dominoes
problem
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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?
Board Block Challenge
problem
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Board Block Challenge

Age
7 to 11
Challenge level
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Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?