This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
problem
Favourite
Nice or nasty
Age
7 to 14
Challenge level
There are nasty versions of this dice game but we'll start with the nice ones...
problem
Favourite
Subtraction surprise
Age
7 to 14
Challenge level
Try out some calculations. Are you surprised by the results?
problem
Favourite
More less is more
Age
7 to 14
Challenge level
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
problem
Favourite
Number lines in disguise
Age
7 to 14
Challenge level
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Favourite
Place your orders
Age
11 to 14
Challenge level
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
problem
Favourite
Add to 200
Age
11 to 14
Challenge level
By selecting digits for an addition grid, what targets can you make?
problem
Favourite
Forwards add backwards
Age
11 to 14
Challenge level
What happens when you add a three digit number to its reverse?
problem
Favourite
Legs eleven
Age
11 to 14
Challenge level
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
problem
Favourite
Farey sequences
Age
11 to 14
Challenge level
There are lots of ideas to explore in these sequences of ordered fractions.
problem
Favourite
How many miles to go?
Age
11 to 14
Challenge level
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
problem
Favourite
Difference Sudoku
Age
14 to 16
Challenge level
Use the differences to find the solution to this Sudoku.
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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.