Short cuts : /subjects/Mathematics/Foundation/Number/009-Fractions-Decimals-And-Ratios
Turn the Pages

# Ratios

Tip I don't want to spoil the surprise, but you're going to need your calculator for this bit — get your finger on that fraction button... RATIOS are like FRACTIONS which are like DECIMALS We can treat the RATIO 3:4 like the FRACTION 3/4, which is 0.75 as a DECIMAL.1 Watch out though — this isn't 3/4 of the total: If there are girls and boys in the ratio 3:4, it means there's 3/4 as many girls as boys. So if there's 8 boys, there's 3/4 x 8 = 6 girls.
1. Write these ratios in their simplest forms:
1. 6:8 _________
2. 5:20 _________
3. 1.5:3 _________
4. 2 1/4 : 4 ( Two and a quarter to four ) _________
5. 2 weeks:4 days _________
6. £1.26:14p _________
2. A rectangle has sides in the ratio 1:2. Calculate the length of the longer side if the shorter side is:
1. 3 cm _________
2. 5.5 cm _________
3. 15.2 m _________
Calculate the length of the shorter side if the longer side is:
1. 3 cm _________
2. 5.5 cm _________
3. 15.2 m _________
3. Divide the following amounts in the ratios given:
1. £20 in the ratio 2:3 _________
2. 150 m in the ratio 8:7 _________
3. 500 g in the ratio 1:2:2 _________
4. 8 hrs in the ratio 1:2:3 _________
1. Increase £3.20 in the ratio 2:3. _________
2. Decrease 120 cm in the ratio 3:2. _________
For these you add up the ratio numbers to find the total number of parts and divide by this. Then multiply by each number in the ratio separately to find the different amounts.
4. John and Peter share a bar of chocolate marked into 16 squares. They share it in the ratio 1:3 respectively. How many squares does each boy get? _________
5. A 2 litre bottle of cola is to be shared between three girls in the ratio 2:3:5. How many milli-litres will each girl get?
1. _________
2. _________
3. _________
Watch out for your units. You'll have to change into milli-litres for this one to avoid fractions.
6. Oak and ash saplings are planted along a roadside in the ratio 2:3 respectively. If there are 20 oak saplings, how many ash saplings are there? _________
7. Tony gives £100 to be shared by Jane, Holly and Rosemary in a ratio according to their age. Jane is 10, Holly is 12 and Rosemary is 3 years old. How much will each child get?
• Jane _________
• Holly _________
• Rosemary _________
8. Sunil and Paul work in a restaurant. As they work different hours, they split their tips in the ratio 3:4. One night they got f28 in tips between them. How much did they each get from the tips?
1. _________
2. _________
3. _________