List

Year 3 Reasoning, convincing and proving

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.

What Do you Need?
problem

What do you need?

Age
7 to 11
Challenge level
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Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
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?

How do you do it?
problem

How do you do it?

Age
7 to 11
Challenge level
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This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

problem

The car that passes

Age
7 to 11
Challenge level
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What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

Journeys in Numberland
problem

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.

problem

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

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

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.
Square Corners
problem

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?

Sealed Solution
problem

Sealed solution

Age
7 to 11
Challenge level
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Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Got It
problem

Got it

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

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.

problem

Inky cube

Age
7 to 14
Challenge level
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This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

Square subtraction
problem

Square subtraction

Age
7 to 11
Challenge level
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Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?