Ratio and proportion

problem
Little man

Age

5 to 7

Challenge level

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
problem
Blackcurrantiest

Age

5 to 7

Challenge level

Can you decide whose drink has the strongest blackcurrant flavour from these pictures?
problem
Cherry buns

Age

7 to 11

Challenge level

Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?
problem
Once upon a time

Age

7 to 11

Challenge level

Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?
problem
Pumpkin pie problem

Age

7 to 11

Challenge level

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?
problem
Timber!

Age

7 to 11

Challenge level

How can the school caretaker be sure that the tree would miss the school buildings if it fell?
problem
Orange drink

Age

7 to 11

Challenge level

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
problem
Nutty mixture

Age

7 to 11

Challenge level

Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?
problem
Number the sides

Age

7 to 11

Challenge level

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
problem
Rod ratios

Age

7 to 11

Challenge level

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?