List

Year 7 Reasoning, convincing and proving

Your number is...
problem

Your number is...

Age
7 to 14
Challenge level
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Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
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?

missing multipliers
problem

Missing multipliers

Age
7 to 14
Challenge level
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What is the smallest number of answers you need to reveal in order to work out the missing headers?
Statement Snap
problem

Statement snap

Age
7 to 14
Challenge level
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You'll need to know your number properties to win a game of Statement Snap...

The Number Jumbler
problem

The Number Jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?

5 by 5 Mathdokus
problem

5 by 5 Mathdokus

Age
7 to 16
Challenge level
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Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

More Less is More
problem

More less is more

Age
7 to 14
Challenge level
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In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
Remainders
problem

Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

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?
Odds and Evens
problem

Odds and evens

Age
11 to 14
Challenge level
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Are these games fair? How can you tell?
Multiples Sudoku
problem

Multiples Sudoku

Age
11 to 14
Challenge level
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Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Mixing Lemonade
problem

Mixing lemonade

Age
11 to 14
Challenge level
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Can you work out which drink has the stronger flavour?

Perimeter Possibilities
problem

Perimeter possibilities

Age
11 to 14
Challenge level
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I'm thinking of a rectangle with an area of 24. What could its perimeter be?

Strange Bank Account
problem

Strange bank account

Age
11 to 14
Challenge level
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Imagine a very strange bank account where you are only allowed to do two things...

Cryptarithms
problem

Cryptarithms

Age
11 to 14
Challenge level
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Can you crack these cryptarithms?
Perimeter Challenge
problem

Perimeter challenge

Age
11 to 14
Challenge level
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Can you deduce the perimeters of the shapes from the information given?

Colourful Cube
problem

Colourful cube

Age
11 to 14
Challenge level
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A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

More Number Pyramids
problem

More number pyramids

Age
11 to 14
Challenge level
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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Squares in rectangles
problem

Squares in rectangles

Age
11 to 14
Challenge level
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A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?