Ratio and proportion quiz answers

Transcription

1 Level A 1. If there are 6 diesel cars sold to every 3 petrol cars, is it the same proportion as 2 diesel cars to every 1 petrol car? A) No B) Yes 2. Each hour a vet usually sees 4 cats, 1 dog and 5 rabbits. Choose the correct way of writing this as a ratio. A) 4:1:5 B) 1:5:4 C) 5:4: out of 10 women prefer Brand A moisturiser and the other 3 prefer Brand B. Choose how this should be written as a ratio of Brand A to Brand B. A) 7:3 B) 07:10 C) 03:10 4. The instructions on a bottle of orange squash says to a mix of one part of squash with three parts of water. Choose the correct way of writing this as a ratio. A) 3:1 B) 1:3 C) 1:4 5. An extra used in a TV show is paid 100 for 2 days 'on set'. How much would the extra earn for 4 days 'on set'? A) 250 B) 400 C) 200

2 6. In a keep fit class there are 9 women and 3 men. Is the ratio of women to men... A) 4:1 B) 1:3 C) 3:1 7. A dog training lead adjusts 2 ways, to 160cm or 80cm. Choose the simplest way of writing this as a ratio. A) 2:1 B) 16:8 C) 160:80 8. Sarah and Winston buy the same brand of T-shirt from different stores. Sarah pays 8 and Winston pays 4. Choose the simplest way of writing this as a ratio. A) 2:4 B) 2:1 C) 8:4 9. There are 9 sheep in a farming show. There are only 3 sheep pens. If the sheep are divided equally between the pens what is the ratio of sheep to each sheep pen? A) 3:3 B) 1:3 C) 3:1 10. An old dolphin in a seaworld aquarium catches three times as many fish as a young dolphin at feeding time. The young dolphin catches 8, how many fish does the old dolphin catch? A) 24 B) 64 C) 16

3 Level B 1. You have a 10 top-up card for your mobile phone. If you have used 6 of your credit, what is the ratio between what you have spent and what you have left in credit? A) 10:6 B) 3:2 C) 4:6 2. If 10 minutes talk-time costs 2, how much will 7 minutes cost? A) 1.40 B) 1.04 C) You use a mobile phone to send a text message with 160 characters, and receive a reply of 40 characters. What is the simplest ratio between the number of characters in the two messages? A) 160:40 B) 16:4 C) 4:1 4. A survey shows that on average students spend 9 hours a week in chat rooms, and 3 hours ing. What is the ratio between the two? A) 9:3 B) 3:1 C) 1:3 5. If you play 3 games of snooker and it costs you 6, would it cost you 16 for 8 games? A) Yes B) No

4 6. While you're playing snooker you achieve a maximum break of 147. Your friend's highest break is 49. What is the ratio between the breaks? A) 147:49 B) 3:1 C) 1:3 7. The snooker hall has given you a 40 prize for your 147 break. You decide to share it with your friend in the ratio 3:1. How much will you give your friend? A) 10 B) 11 C) 9 8. Your friend spends 10 hours a week swimming and 5 hours a week weight training. Choose the simplest way of writing this as a ratio of swimming to weight training. A) 10:5 B) 5:1 C) 2:1 9. Sessions in the swimming pool cost 10 for 5, how much will it be for 20 sessions? A) 30 B) 20 C) A swimming pool is 20m wide and 50m long. What is the simplest ratio of the pool's width to its length? A) 1:10 B) 20:50 C) 2:5

5 Level C 1. The coach fare to a theme park costs 21 for 3 people, what would be the cost for 6 people? A) 42 B) 63 C) In a theme park the roller coaster is six times more popular than the big swingboat. How would you write this as a ratio? A) 1:6 B) 6:1 C) 6:6 3. The entry price for an adult is 10 and the ratio between the prices for adults and children is 5:4. How much is the cost for a child? A) 10 B) 4 C) children a day ride on the roller coaster, but another 200 are turned away because they're not tall enough. What proportion of the total number of children are turned away? A) Half are turned away B) One quarter are turned away C) One fifth are turned away 5. Burger meals are available in 3 sizes: regular, large and extra-large. They are ordered in a ratio of 2:3:5. Out of 10 ordered how many are extra large? A) 3 B) 5 C) 2

6 6. Out of the 800 children who go on the roller coaster each day, 20 try to eat a burger during the ride. What is the simplest way of saying this as a ratio? A) 800:20 B) 80:2 C) 40:1 7. Queuing for toilets is always time-consuming. The average wait for males is 3 minutes, and for females it's 9 minutes. Is the ratio between the waiting times 1:3? A) Yes B) No 8. You queue in the open for an hour for a ride. It rains for 45 minutes of the time you are waiting, and the sun shines for 15 minutes. What is the simplest form of the ratio of the number of minutes of rain to sun? A) 4:1 B) 45:15 C) 3:1 9. You find out that of 36 people on the coach home the ratio of people who felt ill after the scariest ride to people who felt fine was 1:2. How many people felt ill? A) 12 B) 6 C) You asked 36 people whether they would make a return visit to the theme park. 18 said 'yes', 12 said ' no' and 6 said 'not sure'. What is the simplest way of writing this as a ratio? A) 18:12:6 B) 3:2:1 C) 1:2:3

7 Answers Level A 1. If there are 6 diesel cars sold to every 3 petrol cars, is it the same proportion as 2 diesel cars to every 1 petrol car? The correct answer is: B. Yes Did you divide 3 into both numbers, giving 2:1, or use a different method? 2. Each hour a vet usually sees 4 cats, 1 dog and 5 rabbits. Choose the correct way of writing this as a ratio. The correct answer is: A. 4:1:5 The ratio can't be made simpler - there isn't a number that will divide into 4, into 1 and into out of 10 women prefer Brand A moisturiser and the other 3 prefer Brand B. Choose how this should be written as a ratio of Brand A to Brand B. The correct answer is: A. 7:3 7 women go for Brand A while 3 women go for Brand B. So the ratio is 7:3 4. The instructions on a bottle of orange squash says to a mix of one part of squash with three parts of water. Choose the correct way of writing this as a ratio. The correct answer is: B. 1:3 1 part squash to 3 parts water, so the ratio is 1:3 5. An extra used in a TV show is paid 100 for 2 days 'on set'. How much would the extra earn for 4 days 'on set'? The correct answer is: C. 200

8 The extra gets paid 100 for 2 days, so double the amount for 4 days = In a keep fit class there are 9 women and 3 men. Is the ratio of women to men... The correct answer is: C. 3:1 The ratio is 9 women : 3 men, dividing both numbers by 3 gives 3 : 1, so the correct answer is 3:1 7. A dog training lead adjusts 2 ways, to 160cm or 80cm. Choose the simplest way of writing this as a ratio. The correct answer is: A. 2:1 Did you do the 'simplifying' on paper or in your head? 8. Sarah and Winston buy the same brand of T-shirt from different stores. Sarah pays 8 and Winston pays 4. Choose the simplest way of writing this as a ratio. The correct answer is: B. 2:1 8 to 4 - both numbers can be divided by 4, giving 2:1. 9. There are 9 sheep in a farming show. There are only 3 sheep pens. If the sheep are divided equally between the pens what is the ratio of sheep to each sheep pen? The correct answer is: C. 3:1 9 sheep: 3 pens. Both numbers can be divided by 3, giving a ratio of 3:1 10. An old dolphin in a seaworld aquarium catches three times as many fish as a young dolphin at feeding time. The young dolphin catches 8, how many fish does the old dolphin catch? The correct answer is: A. 24

9 The young dolphin catches 8 fish while the old dolphin catches 3 times as many. So 3 times 8 = 24 Level B 1. You have a 10 top-up card for your mobile phone. If you have used 6 of your credit, what is the ratio between what you have spent and what you have left in credit? The correct answer is: B. 3:2 You can take 6 from 10 to leave 4, so that the ratio is 6:4, which simplifies to 3:2 2. If 10 minutes talk-time costs 2, how much will 7 minutes cost? The correct answer is: A You can divide 2 by 10 to find out the cost of one minute. 2 divided by 10 is 20p. So 7 minutes will be 7 times 20p = The correct answer is You use a mobile phone to send a text message with 160 characters, and receive a reply of 40 characters. What is the simplest ratio between the number of characters in the two messages? The correct answer is: C. 4:1 4:1 is the simplest way of showing the ratio 160:40 4. A survey shows that on average students spend 9 hours a week in chat rooms, and 3 hours ing. What is the ratio between the two? The correct answer is: B. 3:1 The simplest ratio is always the best, and 9 and 3 can both be divided by 3 to make 3:1. The simplest way of showing the ratio is 3:1

10 5. If you play 3 games of snooker and it costs you 6, would it cost you 16 for 8 games? The correct answer is: A. Yes To find out the cost of one game of snooker you can divide 6 by 3 which is 2. So for 8 games it would be 8 times 2 which is While you're playing snooker you achieve a maximum break of 147. Your friend's highest break is 49. What is the ratio between the breaks? The correct answer is: B. 3:1 The simplest way of showing 147:49 is 3:1. Did you notice that both numbers can be divided by 49? 7. The snooker hall has given you a 40 prize for your 147 break. You decide to share it with your friend in the ratio 3:1. How much will you give your friend? The correct answer is: A. 10 First work out how many parts the ratio has by adding the 3 and 1, which makes 4. So to find the amount you will give your friend, you divide the 40 by 4 to find one part. 40 divided by 4 = 10. You will give your friend Your friend spends 10 hours a week swimming and 5 hours a week weight training. Choose the simplest way of writing this as a ratio of swimming to weight training. The correct answer is: C. 2:1 The simplest way of showing the ratio 10:5 is by dividing both numbers by 5 to make 2:1

11 9. Sessions in the swimming pool cost 10 for 5, how much will it be for 20 sessions? The correct answer is: C. 40 You can divide 10 by 5 to find out the cost of one session. 10 divided by 5 is 2. So for 20 sessions it would be 20 times 2 which is 40. The correct answer is A swimming pool is 20m wide and 50m long. What is the simplest ratio of the pool's width to its length? The correct answer is: C. 2:5 You can divide 20 and 50 by 10 to give 2:5, which is the simplest form of the ratio.

12 Level C 1. The coach fare to a theme park costs 21 for 3 people, what would be the cost for 6 people? The correct answer is: A. 42 To find out the cost for 6 people you can either multiply the cost for 3 by 2, or you can find out cost for one person ( 21 divided by 3 is 7) and multiply it by six (6 times 7 = 42). 2. In a theme park the roller coaster is six times more popular than the big swingboat. How would you write this as a ratio? The correct answer is: B. 6:1 3. The entry price for an adult is 10 and the ratio between the prices for adults and children is 5:4. How much is the cost for a child? The correct answer is: C. 8 The ratio is 5:4, and the adult price is is twice 5, so to find the cost for a child you double 4 to make children a day ride on the roller coaster, but another 200 are turned away because they're not tall enough. What proportion of the total number of children are turned away? The correct answer is: C. One fifth are turned away The ratio is 800:200, which is the same as 8:2, which is the same as 4:1. That means there are 5 parts to the ratio. Of the five parts one part is turned away. One part of five is the same as one fifth.

13 5. Burger meals are available in 3 sizes: regular, large and extra-large. They are ordered in a ratio of 2:3:5. Out of 10 ordered how many are extra large? The correct answer is: B. 5 The ratio shows you that out of each 10 meals purchased, 2 are regular, 3 are large and 5 are extra-large. 6. Out of the 800 children who go on the roller coaster each day, 20 try to eat a burger during the ride. What is the simplest way of saying this as a ratio? The correct answer is: C. 40:1 The ratio is 800:20 which is the same as saying 80:2, which is the same as 40:1, which is the simplest way of writing the ratio. 7. Queuing for toilets is always time-consuming. The average wait for males is 3 minutes, and for females it's 9 minutes. Is the ratio between the waiting times 1:3? The correct answer is: A. Yes The ratio can be shown as 3:9, but 3 and 9 can both be divided by 3, so the simplest way of showing the ratio is 1:3 8. You queue in the open for an hour for a ride. It rains for 45 minutes of the time you are waiting, and the sun shines for 15 minutes. What is the simplest form of the ratio of the number of minutes of rain to sun? The correct answer is: C. 3:1 To find the simplest form of the ratio 45:15, you can divide by 5 to make 9:3, and then by 3 to make 3:1

14 9. You find out that of 36 people on the coach home the ratio of people who felt ill after the scariest ride to people who felt fine was 1:2. How many people felt ill? The correct answer is: A. 12 To work this one out you need to add together the 1 and 2, which makes 3 parts to the ratio. To find the number of people who felt ill you divide the 36 by 3 to make 12. So 12 people felt ill, and twice as many felt fine. 10. You asked 36 people whether they would make a return visit to the theme park. 18 said 'yes', 12 said ' no' and 6 said 'not sure'. What is the simplest way of writing this as a ratio? The correct answer is: B. 3:2:1 The simplest way of writing 18:12:6 is to divide each number by 6 to give the ratio 3:2:1