Decimals

problem
Terminating or not

Age

11 to 14

Challenge level

Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
problem
Round the dice decimals 1

Age

7 to 11

Challenge level

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
problem
Round the dice decimals 2

Age

7 to 11

Challenge level

What happens when you round these numbers to the nearest whole number?
game
Favourite

Spiralling decimals

Age

7 to 14

Challenge level

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
problem
Toad in the hole

Age

11 to 14

Challenge level

Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
problem
Doughnut percents

Age

7 to 14

Challenge level

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
problem
Reductant ratios

Age

16 to 18

Challenge level

What does the empirical formula of this mixture of iron oxides tell you about its consituents?
problem
A long time at the till

Age

14 to 18

Challenge level

Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?
problem
Recurring mean

Age

14 to 16

Challenge level

What is the mean of 1.2 recurring and 2.1 recurring?
problem
Route product

Age

7 to 11

Challenge level

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?