Scaling Numbers - Word Problems

L.O. To solve problems involving scaling numbers
(worksheet 1 - mastery)
Cup Cakes
for 6 cakes:
80g butter
The children of Class 6 are making and selling cakes to raise money for
charity.
Bethany wants to make 18 cup cakes. How much sugar does she need?
100g flour
120g sugar
2 eggs
20ml milk
Zac uses the same recipe. He uses 400g of butter. How many cup cakes does he make?
Apple juice costs 85p for 4 cartons. How much would 16 cartons cost?
Sophia is making a fruit smoothie.
For every one orange she uses 2 bananas and 4 strawberries.
She uses a total of 21 fruit.
How many strawberries does she use?
500ml of purple paint is made by mixing 250ml of red paint with 200ml of blue paint and
50ml of white paint.
How much blue paint is needed if you are making 250ml of purple paint?
g
L.O. To solve problems involving scaling numbers
(worksheet 2 - mastery with greater depth)
Cup Cakes
for 6 cakes:
80g butter
The children of Class 6 are making and selling cakes to raise money for
charity.
Bethany wants to make 42 cup cakes. How much sugar does she need?
100g flour
120g sugar
2 eggs
20ml milk
g
Zac uses the same recipe. He uses 9 eggs. How many cup cakes does he make?
Apple juice costs 85p for 4 cartons. How much would 36 cartons cost?
Sophia is making a fruit smoothie.
For every one orange she uses 2 bananas and 4 strawberries.
She uses a total of 56 fruit.
How many strawberries does she use?
Purple paint is made by mixing 250ml of red paint with 200ml of blue paint and 50ml of white
paint.
How much blue paint is needed if you are making 3 litres of purple paint?
litres
How much blue paint is needed if you are making 300ml of purple paint?
L.O. To solve problems involving scaling numbers
Answers: worksheet 1 1) 360g 2) 30 cakes
worksheet 1 1) 840g
2) 27 cakes
3) £3.40
3) £7.65
4) 12 strawberries
4) 32 strawberries
5) 100ml
5) 1.2 litres 6) 120ml
Useful interactive games to teach the skills needed for scaling numbers:
http://mathsframe.co.uk/en/resources/resource/225/ratio_and_scaling_numbers_word_problems
Provides a wide range of wide problems which require scaling numbers up or down. Click on ‘Show
relationships’ to help children to see how the numbers have been scaled.
This game is part of the ‘Mathsframe - Calculations’ app and is also available for iPad and Android devices.
http://mathsframe.co.uk/en/resources/category/409/
multiply_and_divide_numbers_mentally_drawing_upon_known_facts
Lots of games to practice quick recall of multiplication and division facts.