List

Year 7 Visualising and Representing

The Number Jumbler
problem
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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?
Your number is...
problem
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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
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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?
Number Lines in Disguise
problem
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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?
Remainders
problem
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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?
Sieve of Eratosthenes
problem
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Sieve of Eratosthenes

Age
11 to 14
Challenge level
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Follow this recipe for sieving numbers and see what interesting patterns emerge.
Odds, Evens and More Evens
problem
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Odds, Evens and More Evens

Age
11 to 14
Challenge level
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Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

Hidden Squares
problem
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Hidden Squares

Age
11 to 14
Challenge level
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Can you find the squares hidden on these coordinate grids?
Add to 200
problem
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Add to 200

Age
11 to 14
Challenge level
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By selecting digits for an addition grid, what targets can you make?
Fractions Rectangle
problem
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Fractions Rectangle

Age
11 to 14
Challenge level
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The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
Parallelogram It
problem
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Parallelogram It

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Up, down, flying around
game
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Up, down, flying around

Play this game to learn about adding and subtracting positive and negative numbers

Summing Consecutive Numbers
problem
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Summing Consecutive Numbers

Age
11 to 14
Challenge level
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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Reflecting Squarely
problem
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Reflecting Squarely

Age
11 to 14
Challenge level
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In how many ways can you fit all three pieces together to make shapes with line symmetry?
Shady Symmetry
problem
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Shady Symmetry

Age
11 to 14
Challenge level
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How many different symmetrical shapes can you make by shading triangles or squares?
Picturing Square Numbers
problem
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Picturing Square Numbers

Age
11 to 14
Challenge level
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Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

Square It
problem
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Square It

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Odds and Evens
problem
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Odds and Evens

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

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

Perimeter Expressions
problem
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Perimeter Expressions

Age
11 to 14
Challenge level
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Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
More Number Pyramids
problem
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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...

Shear Magic
problem
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Shear Magic

Age
11 to 14
Challenge level
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Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
On the Edge
problem
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On the Edge

Age
11 to 14
Challenge level
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If you move the tiles around, can you make squares with different coloured edges?
Squares in rectangles
problem
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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?
Searching for mean(ing)
problem
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Searching for mean(ing)

Age
11 to 16
Challenge level
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If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?