Ratio and proportion

problem

Exact Dilutions

Age

14 to 16

Challenge level

Which exact dilution ratios can you make using only 2 dilutions?
problem

Scale Draw

Age

5 to 7

Challenge level

Use the grids to draw pictures to different scales.
problem
Favourite

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
Favourite

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
Favourite

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
Favourite

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?