List

Year 11 Visualising and Representing

Vector journeys
problem
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Vector journeys

Age
14 to 18
Challenge level
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Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
Factorising with Multilink
problem
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Factorising with Multilink

Age
14 to 16
Challenge level
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Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Double Trouble
problem
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Double Trouble

Age
14 to 16
Challenge level
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Simple additions can lead to intriguing results...
Spotting the loophole
problem
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Spotting the loophole

Age
14 to 16
Challenge level
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A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?
A question of scale
problem
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A question of scale

Age
14 to 16
Challenge level
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Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Partly Painted Cube
problem
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Partly Painted Cube

Age
14 to 16
Challenge level
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Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Which is bigger?
problem
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Which is bigger?

Age
14 to 16
Challenge level
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Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Square Number Surprises
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Square Number Surprises

Age
14 to 16
Challenge level
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There are unexpected discoveries to be made about square numbers...
Picture Story
problem
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Picture Story

Age
14 to 16
Challenge level
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Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
Three cubes
problem
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Three cubes

Age
14 to 16
Challenge level
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Can you work out the dimensions of the three cubes?
Doesn't add up
problem
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Doesn't add up

Age
14 to 16
Challenge level
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In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

The Spider and the Fly
problem
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The Spider and the Fly

Age
14 to 16
Challenge level
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A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
Dating made Easier
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Dating made Easier

Age
14 to 16
Challenge level
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If a sum invested gains 10% each year how long before it has doubled its value?
Areas and Ratios
problem
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Areas and Ratios

Age
16 to 18
Challenge level
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Do you have enough information to work out the area of the shaded quadrilateral?