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Dienes' logiblocs

5 to 7

This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

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Favourite

The puzzling sweet shop

5 to 11

There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?

problem

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Shadow play

5 to 7

Here are shadows of some 3D shapes. What shapes could have made them?

problem

Counters

7 to 11

Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

problem

Favourite

In between

16 to 18

Can you find the solution to this algebraic inequality?

problem

Favourite

Circular circuitry

16 to 18

What will happen when you switch on these circular circuits?

problem

At the pumps

7 to 11

How will you find out how much a tank of petrol costs?

problem

Simple train journeys

5 to 11

How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?

problem

Fracmax

14 to 16

Find the maximum value of 1/p + 1/q + 1/r where this sum is less than 1 and p, q, and r are positive integers.

problem

Golden construction

16 to 18

Draw a square and an arc of a circle and construct the Golden rectangle. Find the value of the Golden Ratio.

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Dienes' logiblocs

The puzzling sweet shop

Shadow play

Counters

In between

Circular circuitry

At the pumps

Simple train journeys

Fracmax

Golden construction