This is part of our collection of favourite rich tasks arranged by topic.
If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.
A task which depends on members of the group noticing the needs of others and responding.
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 shapes?
Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
What happens when you round these numbers to the nearest whole number?
This task offers opportunities to subtract fractions using A4 paper.
Watch this animation. What do you see? Can you explain why this happens?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
Using the picture of the fraction wall, can you find equivalent fractions?
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
Can you find different ways of showing the same fraction? Try this matching game and see.
Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?
One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?
What fraction of the black bar are the other bars? Have a go at this challenging task!
Can you compare these bars with each other and express their lengths as fractions of the black bar?
On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
Try adding fractions using A4 paper.
The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Can you make doughnuts by matching these fractions, decimals and percentages?
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
