Rich Tasks
Interactive maths investigations with a low floor and a high ceiling: success in 30 seconds, thinking for 30 minutes.
How Rich Tasks work
Each task starts with a simple question that everyone can have a go at, then opens up into patterns, predictions and explanations.
They are interactive, so students can test an idea in seconds and spend their time on the thinking. Each one has investigation questions to take it further, and can last five minutes or five lessons.
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- Mental arithmeticPositive differencesKS1KS2KS3
Each circle is the positive difference of the two below it. Which numbers can go at the top, and can you use 1 to 10 exactly once?
Also in: Algebraic proof
- Written methodsDiffyKS1KS2KS3
Put four numbers on the corners and keep finding differences. How many steps before you reach 0, 0, 0, 0? Whole numbers, decimals or fractions.
Also in: Mental arithmetic, Fractions, Decimals, Algebraic proof
- Factors, multiples and primesFactors and multiplesKS2KS3
Pick a starting number, then keep choosing a factor or a multiple of the last one. How long a chain can you make?
- Factors, multiples and primesDiagonals of rectanglesKS2KS3
Draw a rectangle and its diagonal. How many squares does the diagonal pass through, and can you predict it before you look?
- Introduction to algebraT-totalsKS2KS3
Place a T on a number grid and add up its numbers. If you know the number at the bottom of the T, can you work out the total?
Also in: Mental arithmetic, Linear equations, Algebraic proof
- SequencesPascal’s triangleKS2KS3GCSE
Colour the odd numbers, the multiples or the diagonals. What patterns can you find in the world’s best triangle?
Also in: Factors, multiples and primes
- CoordinatesWill they meet?KS3GCSE
Romeo moves, then Juliet moves a fraction of the same distance. Can you help Romeo meet Juliet?
Also in: Sequences
