Working systematically

problem
Spell by numbers

Age

7 to 11

Challenge level

Can you substitute numbers for the letters in these sums?
problem
Mystery matrix

Age

7 to 11

Challenge level

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
problem
The moons of Vuvv

Age

7 to 11

Challenge level

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
problem
Plates of biscuits

Age

7 to 11

Challenge level

Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
problem
Shapes on the playground

Age

7 to 11

Challenge level

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
problem
What's it worth?

Age

11 to 16

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Twenty divided into six

Age

7 to 11

Challenge level

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?
problem
Numerically equal

Age

7 to 11

Challenge level

Can you draw a square in which the perimeter is numerically equal to the area?
problem
Amy's dominoes

Age

7 to 11

Challenge level

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
problem
Mrs Beeswax

Age

5 to 7

Challenge level

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?