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Oak National Academy
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New
New
Year 10
Higher

Checking and securing understanding of converting between ratios, percentages and fractions

I can move fluently between a ratio, percentage and fractions and compare these.

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Share activities with pupils
New
New
Year 10
Higher

Checking and securing understanding of converting between ratios, percentages and fractions

I can move fluently between a ratio, percentage and fractions and compare these.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. A multiplicative relationship can be described by a ratio.
  2. A multiplicative relationship can be described by a percentage.
  3. A multiplicative relationship can be described by a fraction.
  4. It is therefore possible to move between ratio, percentages and fractions.

Common misconception

Converting a ratio e.g. 1 : 3 to 1/3 as a fraction.

Drawing out simple ratios using bars can help pupils to see how fractions can correctly be obtained from a given ratio.

Keywords

  • Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole

Pupils will benefit from many opportunities to use fractions, ratios and percentages interchangeably but may also need support in breaking down 'longer' problems where lots of information is given in these different forms.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.
Select the ratios that are equivalent to 5 : 7.
7 : 5
6 : 8
Correct answer: 12.5 : 17.5
Correct answer: 15 : 21
Q2.
Alex and Sofia share some money in the ratio 5 : 7. They share £420 in total. How much does Sofia get?
Correct answer: £245
£175
£60
£588
Q3.
Alex and Sofia share some money in the ratio 5 : 7. Alex gets £420. How much does Sofia get?
Correct answer: £588
£245
£175
£300
Q4.
Alex and Sofia share some money in the ratio 5 : 7. Sofia gets £420. How much did they share in total?
Correct answer: £720
£588
£245
£175
Q5.
Alex and Sofia share some money in the ratio 5 : 7. Sofia gets £420 more than Alex. How much did Alex get?
Correct answer: £1050
£1470
£720
£175
Q6.
Izzy, Laura and Jun share some money in the ratio of 7 : 3 : 2. Jun gets £60 less than Laura. How much does Izzy receive?
Correct answer: £420
£105
£35
£300

Exit quiz

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6 Questions

Q1.
There are only red and green sweets in a bag. If the ratio of red to green is 2 : 5 what fraction of the sweets in the bag are red?
Correct answer: $$\frac{2}{5}$$
$$\frac{2}{7}$$
$$\frac{5}{7}$$
$$\frac{3}{4}$$
Q2.
There are only cars or bikes in a car park. If 20% are bikes, what is the ratio of cars : bikes?
1 : 4
20 : 100
1 : 5
Correct answer: 4 : 1
5 : 1
Q3.
There are only red, yellow and green marbles in a bag. If $$\frac{1}{2}$$ are red, $$\frac{1}{6}$$ are yellow, write the ratio of red to yellow to green marbles.
Correct Answer: 3 : 1 : 2, 3:1:2
Q4.
A bag of sweets contains red, yellow and green sweets. There are 180 sweets in the bag. 25% of them are red. The rest are yellow and green in the ratio 7 : 2 How many yellow sweets are there?
Correct Answer: 105
Q5.
Laura and Sofia share some money in the ratio 3 : 5 Laura gives $$\frac{2}{5}$$ of her money to Jacob. If Jacob gets £24, how much does Sofia get?
Correct Answer: 100
Q6.
Jacob, Andeep and Lucas receive some money. Jacob gets $$\frac{3}{5}$$ of the money. Andeep and Lucas share the rest in the ratio 5 : 2 What proportion of the prize money does Andeep get?
$$\frac{2}{5}$$
$$\frac{5}{7}$$
Correct answer: $$\frac{10}{35}$$
$$\frac{15}{35}$$