Working systematically

problem
Favourite

A Mixed-Up Clock

Age

7 to 11

Challenge level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
problem

Paw Prints

Age

7 to 11

Challenge level

A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
problem

Polo Square

Age

7 to 11

Challenge level

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
problem
Favourite

Nine-Pin Triangles

Age

7 to 11

Challenge level

How many different triangles can you make on a circular pegboard that has nine pegs?
problem
Favourite

Brush Loads

Age

7 to 11

Challenge level

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
problem
Favourite

Torn Shapes

Age

7 to 11

Challenge level

These rectangles have been torn. How many squares did each one have inside it before it was ripped?
problem
Favourite

Coordinate Challenge

Age

7 to 11

Challenge level

Use the clues about the symmetrical properties of these letters to place them on the grid.
problem

One to Fifteen

Age

7 to 11

Challenge level

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
problem
Favourite

What's in the Box?

Age

7 to 11

Challenge level

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
problem
Favourite

Shape Times Shape

Age

7 to 11

Challenge level

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?