TeeJay Publishers Homework for Level F book Ch 41 - Ratio/Proportion. Calculators may be used in this Chapter (where appropriate)
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1 hapter 41 Exercise 1/2 alculators may be used in this hapter (where appropriate) Ratio & Proportion 1. From the letters shown, write down the ratio of : A : B (b) A : (c) : B (d) B : (e) vowels : consonants A B B B A 2. opy each ratio and simplify as far as possible : 5 : 10 (b) 12 : 36 (c) 4 : 20 (d) 5 : 35 (e) 27 : 3 (f) 36 : 16 (g) 100 : 8 (h) 240 : 30 (i) 25 : 625 (j) 12 : 16 : 24 (k) 8 : 40 : 72 (l) 6 : 81 : A rectangular garden measures 12 metres by 8 metres. Write down the ratio (in its simplest form) of : length : breadth (b) perimeter : area 8 m 4. Simplify each of the following to unitary ratios : 12 m 1 : 6 (b) 1 : 9 (c) 12 : 0 2 (d) 1 : hange each quantity to similar units and simplify : 1 2 kg : 200 g (b) 1 hour : 10 mins (c) 50 mm : 1 cm (d) litre : 250 ml 6. A box with no lid has length 10 centimetres, breadth 500 millimetres and height 1 metre. Write in its simplest form the ratio of : 1 metre (b) length : breadth height : volume 500 mm 10 cm this is hapter Forty One page 61 RATIO & PROPORTION
2 Exercise 3 1. On a small aircraft, the ratio of men to women is 2 : 3. If there are 8 men on the aircraft, how many women are there? men women 2 3 x 4 x? The ratio of girls to boys in 3 2 is 4 : 5. If there are 12 girls, how many boys are there? (b) If there are 20 boys, how many girls are there? 3. A model Ferarri has a scale of 1 : 43. The model has a tyre diameter of 2 cm. What will the tyre diameter be on the Ferarri? (b) The Ferarri has a height of 129 centimetres. What is the height of the model? 4. Farmer Ellis uses the table of ratios to feed his chickens using chicken feed and corn. Strength Mix in the ratio Feed : orn Weak 10 : 1 Light 7 : 1 Medium 7 : 2 Strong 5 : 3 Very Strong 4 : 5 Which feed strength will he get if he mixes : 70 g of feed and 10 g of corn? (b) 210 g of feed and 60 g of corn? (c) 1 kg of feed and 1250 g of corn? (d) 600 g of corn and 1 kg of feed? 5. Farmer Ellis has a 30 g bag of corn. How much chicken feed does he need to make medium strength feed? Exercise 4 1. Share 250 between Ann and Kim in the ratio 2 : 3. OPY and complete : Total number of shares = = 5 Each share = = 50 Kim Ann Ann has 2 shares = 2 x... =... Kim has 3 shares = 3 x... =... (heck total is 250) this is hapter Forty One page 62 RATIO & PROPORTION
3 2. Show all your working for each of the following : Share 1500 between Bill and Ben in the ratio 3 : 2. (b) Share 360 sweets between May and Matt in the ratio 5 : 7. (c) Share 1250 s between Tom and Tim in the ratio 7 : 3. (d) Share ten thousand pounds between Dan and Fran in the ratio 23 : Every week Jack pays 3, and Jill pays 4 into a church raffle. If they share the top prize ( 140), in the ratio of their stake, how much should each receive? 4. Ed and Ted win half a million dollars on an internet lottery. They decide to share the money in the ratio 13 : 12. How much more will Ed receive than Ted? 5. A chemist requires a special mix of three chemicals tp, AgH and RcQ in the ratio of 1 2 litre : 1 4 litre : 2500 ml. If the chemist has 1 litre of RcQ, how much of the other chemicals does he require for the correct mix? Exercise 5/6 1. The cost of four magazines is 6. Find the cost of one magazine. (b) Seven football strips cost 210. Find the cost of one strip. (c) Eight sweets cost 2. Find the cost of one sweet. 2. The cost of ten calculators is 50. How much would it cost for : one calculator (b) nine calculators? 3. A car travels 140 kilometres in 4 hours. Assuming the car travels at the same speed, how far will it travel in : 3 hours (b) 5 hours (c) 30 minutes? this is hapter Forty One page 63 RATIO & PROPORTION
4 4. A photocopy machine can produce 300 copies in 2 minutes. How many copies will the machine make in : 3 minutes (b) 11 minutes (c) 30 seconds (d) 20 seconds? pencils cost 24. Find the cost of 400 pencils. (b) A disc spins 3000 times in 8 minutes. How many times will it spin in 12 minutes? (c) A computer makes three million calculations in 9 seconds. How many calculations will the computer make in 12 seconds? Exercise 7 1. opy and complete the table. (b) Plot each point (1, 4), (2, 8),... on a graph. (c) Join the points with a straight line. (d) Explain why the line must go through the origin. No. of sweets ost (p) Draw a set of axes and plot the points from the table. (b) Explain how you might check for direct proportion without drawing axes and plotting points. x y => (1, 3),..., etc. 3. Which of the following tables indicate direct proportion? x (b) x y y (c) x (d) x y y this is hapter Forty One page 64 RATIO & PROPORTION
5 Exercise 8 1. If it took two men 6 hours to build a wall, how long would it have taken 3 men? (Remember : more men - less time) 2. If it took 7 park wardens 6 hours to clear away litter, how long would it have taken 3 wardens? 3. Six men take 6 hours to build a kit car. How long will it take eight men? 4. Nine scouts have eight days rations. How many days rations would there then be if three more scouts join them? 5. Oliver and his 5 friends take an hour to wrap all the presents for the church tombola. How long would it have taken if 4 more friends had helped with the wrapping? 6. Five bees take eight days to make 5 millilitres of honey. How many bees would it take to make the same amount in ten days? Exercise 9 For each of the following questions show all your working. 1. Tony buys ten stamps for How much would he pay for 12 stamps? 2. Henry can run 4 kilometres in 20 minutes. How long would he take to run 5 kilometres at this speed? 3. Five people should each pay 16 to hire a football pitch. If only 4 people turned up, how much would each of them then be expected to pay? 4. What would be the weight of 12 cakes if 20 cakes weigh 1 kilogram? 5. The perimeter of a room can be surrounded with fifty 0 4 metre wooden edging strips. How many strips of edging would be required if each strip was half a metre in length? 0 4 m this is hapter Forty One page 65 RATIO & PROPORTION
6 Revision Exercise 1. Look at the picture. Write down the ratio of : birds to bees. (b) bees to birds. 2. Write down each ratio in its simplest form : 4 : 10 (b) 11 : 121 (c) 30 : 18 (d) 108 : 144 (e) 40 : 60 (f) 1 2 : 12 (g) 0 8 : 16 (h) 1 7 : The ratio of mice to rats in a factory is 4 : 5. How many mice are there if there are 60 rats? (b) How many rats are there if there are 52 mice? 4. Den and Len share a lottery win in the ratio 3 : 5. How much will each receive? 5. Share 1000 euros between Ali, Ben and ari in the ratio 1 : 4 : Eight bottles of juice costs 4. How much would one bottle cost? (b) Five DVD s cost 80. How much would it cost for four DVD s? (c) If it takes 6 men 5 hours to build a wall, how long would it have taken 4 men? 7. Five identical videos can hold 800 minutes of playback. How many minutes of playback could 4 videos hold? this is hapter Forty One page 66 RATIO & PROPORTION
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