Working systematically

problem

Count the trapeziums

Age

7 to 11

Challenge level

How many trapeziums, of various sizes, are hidden in this picture?
problem

Shunting puzzle

Age

7 to 11

Challenge level

Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
problem

Single track

Age

7 to 11

Challenge level

What is the best way to shunt these carriages so that each train can continue its journey?
problem

Make pairs

Age

7 to 11

Challenge level

Put 10 counters in a row. Find a way to arrange the counters into five pairs, evenly spaced in a row, in just 5 moves, using the rules.
problem
Favourite

Quadrilaterals

Age

7 to 11

Challenge level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
problem

Pouring the punch drink

Age

7 to 11

Challenge level

There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
problem

Calendar cubes

Age

7 to 11

Challenge level

Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
problem
Favourite

Watch the clock

Age

7 to 11

Challenge level

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
problem

Waiting for blast off

Age

7 to 11

Challenge level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
problem

Wag worms

Age

7 to 11

Challenge level

When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.