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A drink is made from orange juice and lemonade in the ratio 3:7.
Level 5-6 Numbers - Ratios
In KS3 Maths, comparing numbers comes in many forms – bars in a graph, sectors in a pie chart, or figures in a table. One of the easiest and most common ways is using ratios.
Imagine Person A has £50 and Person B has £40. How much more does A have? Ratios help us compare. A has £10 more, but that doesn't really show the comparison well. Ratios, like 50:40, are handy. Since 50 and 40 share a factor of 10, it simplifies to 5:4, the simplest form.
Discover the Joy of Learning with QuizzesRatios make comparing quantities easy. Take this quiz to see how well you handle ratios. Take your time, read each question carefully, and good luck with your KS3 Maths adventure!
1.
15 pints of milk cost £7.80. What is the cost of 22 pints of milk?
£10.80
£11.44
£14.44
£15.03
15 : 22 is roughly 2 : 3. £7.80 ÷ 2 = £3.90 so you know your answer will be approximately £3.90 x 3 = £11.70
2.
The ratio of two bags of flour is 3 : 4. If the smaller bag holds 900 g of flour, how much does the larger bag hold?
1,000 g
1,100 g
1,200 g
1,300 g
A ratio such as 3:4 means 3/7 of one thing and 4/7 of another thing. The 7 comes from adding 3 and 4. The ratio 3:4 can also be written as a fraction 3/4 for calculations. In this case 900/x = 3/4 where x is the big bag of flour: so x = (4 x 900)/3. Use this method when dealing with ratios
3.
A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?
110 ml
120 ml
130 ml
140 ml
60 ml / 3 = 20 ml and 7 x 20 ml = 140 ml
4.
What is 150 cm : 4 m in its simplest form?
2 : 7
3 : 8
4 : 9
5 : 9
The common factor is 50 cm. There are 3 x 50 cm in 150 cm and there are 8 x 50 cm in 4 m
5.
Divide 240 litres in the ratio 3 : 5.
50 : 150
80 : 140
90 : 150
90 : 170
3 + 5 = 8 so first divide 240 litres by 8 then multiply by both 3 and 5
6.
Divide £85 in the ratio 1 : 4.
£17 : £68
£23 : £62
£40 : £45
£60 : £25
Remember the two numbers must total £85
7.
What is 12 kg : 4,800 g in its simplest form?
5 : 2
6 : 3
7 : 4
8 : 5
It may be easier to first convert 12kg into 12,000g
8.
What is £8 : 420p in its simplest form?
13 : 25
17 : 28
19 : 33
40 : 21
The quantities in the ratio MUST be in the same units: in this case change the £8 to 800p
9.
A road map is drawn to a scale of 1 cm = 8 km. A distance of 6.5 cm on the map represents how many kilometres of the road?
52 km
56 km
65 km
81 km
The ratio for a 1cm = 8km scale is 1 : 800,000!
10.
Dean buys 75 shares for £262.50. How much would 325 shares cost Dean?
£1,037.10
£1,137.50
£1,317.50
£1,731.40
25 is a good figure to work with here - just divide £262.50 by 3 to find what 25 shares would cost, and go from there
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