List

Year 6 Reasoning, convincing and proving

Would You Rather?
problem

Would you rather?

Age
7 to 11
Challenge level
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Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Diagonally Square
problem

Diagonally square

Age
7 to 11
Challenge level
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Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
Treasure Hunt
problem

Treasure hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Round a hexagon
problem

Round a hexagon

Age
7 to 11
Challenge level
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This problem shows that the external angles of an irregular hexagon add to a circle.

Name That Triangle!
problem

Name that triangle!

Age
7 to 11
Challenge level
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Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

4 by 4 Mathdokus
problem

4 by 4 Mathdokus

Age
7 to 14
Challenge level
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Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Diagonal Sums
problem

Diagonal sums

Age
7 to 14
Challenge level
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In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Number Lines in Disguise
problem

Number lines in disguise

Age
7 to 14
Challenge level
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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
So it's times!
problem

So it's times!

Age
7 to 14
Challenge level
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How will you decide which way of flipping over and/or turning the grid will give you the highest total?