 A drink is made from orange juice and lemonade in the ratio 3:7.

# Numbers - Ratios

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In Math, ratios are a way of comparing quantities. For example, if there are 25 girls and 20 boys in a class, the ratio is 25 : 20. Because the numbers 25 and 20 have a common factor of 5, this can be canceled down to 5 : 4, known as the simplest form.

1.
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 kilometers of the road?
52 km
56 km
65 km
81 km
2.
15 pints of milk cost £7.80. What is the cost of 22 pints of milk?
£10.80
£11.44
£14.44
£15.03
3.
Divide £85 in the ratio 1 : 4.
£17 : £68
£23 : £62
£40 : £45
£60 : £25
Remember the two numbers must total £85
4.
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
5.
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
6.
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
7.
What is 12 kg : 4,800 g in its simplest form?
5 : 2
6 : 3
7 : 4
8 : 5
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.
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
10.
Divide 240 liters in the ratio 3 : 5.
50 : 150
80 : 140
90 : 150
90 : 170
Author:  Frank Evans