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Ratios and dilutions

14 to 16

Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions

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Spiral snail

11 to 14

A snail slithers around on a coordinate grid. At what position does he finish?

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Unusual quadrilateral

14 to 16

This quadrilateral has an unusual shape. Are you able to find its area?

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Collatz 13

14 to 16

If a number is even, halve it; if odd, treble it and add 1. If a sequence starts at 13, what will be the value of the 2008th term?

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Angles inside

11 to 14

Draw some angles inside a rectangle. What do you notice? Can you prove it?

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Arranging additions and sorting subtractions

5 to 7

Order these four calculations from easiest to hardest. How did you decide?

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Twenty divided into six

7 to 11

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

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A mixed-up clock

7 to 11

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

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Obstacle course

Age

3 to 5

As children move around an obstacle course, adults can model positional language, encourage children to describe their movement themselves and create their own course.

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The 24 game

7 to 11

There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?

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Ratios and dilutions

Spiral snail

Unusual quadrilateral

Collatz 13

Angles inside

Arranging additions and sorting subtractions

Twenty divided into six

A mixed-up clock

Obstacle course

The 24 game