Year 8 Being Collaborative

problem

Fence it

Age

11 to 14

Challenge level

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

problem

Olympic measures

Age

11 to 14

Challenge level

These Olympic quantities have been jumbled up! Can you put them back together again?

problem

Isosceles triangles

Age

11 to 14

Challenge level

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

problem

Reaction timer

Age

11 to 14

Challenge level

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

problem

Keep it simple

Age

11 to 14

Challenge level

Can all unit fractions be written as the sum of two unit fractions?

problem

How would you score it?

Age

11 to 14

Challenge level

Invent a scoring system for a 'guess the weight' competition.

problem

Sociable cards

Age

11 to 14

Challenge level

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

problem

American billions

Age

11 to 14

Challenge level

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

problem

Olympic records

Age

11 to 14

Challenge level

Can you deduce which Olympic athletics events are represented by the graphs?

problem

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

Constructing triangles

Age

11 to 14

Challenge level

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

problem

Rhombus it

Age

11 to 16

Challenge level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

problem

Shapely pairs

Age

11 to 14

Challenge level

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

problem

Property chart

Age

11 to 14

Challenge level

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?