S1 Revision, end of year test. Fractions.

Transcription

1 S1 Revision, end of year test. Fractions. 1) Express the fractions below as top heavy' or improper fractions: A) 4 3 /5 b) 12 1 /2 c) 3 6 /7 d) 14 2 /3 e) 2 11 /12 2) Rewrite the top heavy fractions as whole numbers and fractions:- A) 23 /5 b) 24 /7 c) 37 /6 d) 57 /3 e) 42 /15 3) Find the following answers in their simplest form: a) 5 /7 + 3 /7 b) 4 /9 + 3 /9 c) 3 10 /11-3 /11 d) 8 3 / /20 4) Find the following answers in their simplest form: a) 5 /2 + 3 /5 b) 5 4 / /7 c) 10 /11-3 /2 d) 9 7 / /2 5) Find the following answers in their simplest form: a) 1 /7 x 3 /4 b) 4 /9 x 3 /5 c) 5 1 /11 x 1 3 /2 d) 13 /20 x 3 1 /2 6) Find the following answers in their simplest form: a) 5 /2 3 /7 b) 4 /9 3 /5 c) 2 10 / /4 d) 3 /2 7 /20 7) Hat sizes go up in 1 /8 of an inch at a time. Brian wears a hat size 5 5 /8. Alex is 6 sizes bigger than this. What is Alex s hat size? 8) A table measures 5 7 /10 feet long by 3 4 /7 feet wide. a) What is its area? b) What is the perimeter of the table? 5 7 / / 7 9) A music jingle in the radio lasted 7 2 /5 seconds. The new replacement jingle lasts 1 ¾ times as long as the old one. How long does the new jingle last? Percentages 1) Last week James earned 50. His boss decides to give him a 10% bonus for hard work. How much will he now get altogether? 2) Last week Lucy earned 80. Her boss decides to give her a 20% bonus for hard work. How much will she get now altogether? 3) Last month Peter earned 860. His boss decides to give him a 15% bonus for hard work. How much will he get altogether?

2 4) After a pay rise of 10%, Kelly s new wage was 44. Calculate her pay before the rise. 5) After a wage rise of 10%, Yvonne s new wage was 220. Calculate her pay before the rise. 6) After a wage rise of 10%, Billie s new wage was 660. Calculate her pay before the rise. 7) After a wage rise of 20%, Lisa s new wage was 480. Calculate her pay before the rise. 8) After a wage rise of 20%, Harry s new wage was 720. Calculate his pay before the rise. 9) Mrs Jones has 400 in the bank. After a year, she has gained 5% interest. How much money does she have now? 10) Mr McAllister has 2000 in the bank. After a year, he has gained 5% interest. How much money does he have now? 11) a) Mrs O Connell invests 300 with the Bank of Bo ness. What will her final balance be b) Mr Jones invests 800 with the Bank of Bo ness. What will his final balance be c) Miss Taylor invests 760 with the Bank of Bo ness. What will her final balance be d) Jack the monkey invests 900 with the Bank of Bo ness. What will his final balance be 12) Jan scored 15/25 in her music test. What percentage is this? 13) Linda scored 16/20 in her French test. What percentage is this? 14) Brian scored 27 / 30 in his biology test. What percentage is this? Bank of Bo ness Special offer when you invest your money with us: 15) In November a coat was advertised as 35. In the January sales it was reduced by 25%, what is the sale price? 16) Mr Thomson tried to sell his boat for 3200 but nobody was interested. He decided to reduce the price by 15%, what will the new price be? By the end of the first year we will give you an extra 5% Plus Leave your money for another year and we give you an extra 10% of the final balance from the first year.

3 Equations Section A 1) a + 7 = 28 2) b - 8 = 17 3) c - 19 = 71 4) d = ) 2e = 26 6) 4f = 28 7) 6g = 42 8) 9h = 99 9) 3j + 2 = 17 10) 5k - 1 = 24 11) 4m - 7 = 13 12) 12n - 13 = 108 Section B 13) 5p - 6 = 2p ) 10q + 35 = 2q ) 13r + 2 = 2r 97 16) 5(t + 5) = 3t ) 10(2v - 1) = 5(v + 6) Section C By eliminating fractions first, solve the following for x: 19) ½ x + 4 = 9 20) ¼x - 7 = -4 21) ¾x - 1 = 5 22) ¾x + 2 = ½x ) /4 x = 1 /8 x ) /8 x = 1 /3 x + 8 Section D Solve each of the following leaving your answer in the form x < 7 or x > 9 etc 25) x - 8 > 11 26) 8x < 32 27) 5x + 5 < 20 28) 2(x - 3) < 6 Ratio. 1) Simplify the following: a) 4:10 b) 12:28 c) 16: 60 d) 15:50 e) 21: 35 f) 6:15:48 g) 12:30:72 h) 16:40:72 i) 6: 15: 27 2) Simplify the following leaving in their simplest form: a) ¼ hour: 30 mins b) ¾ hour: 30 mins c) ½ metre: 200cm d) ¼ metre: 80cm e) 40kg: 400g f) 60kg: 300g g) 90mins: 2 hours 3) In a class the ratio of boys to girls is 5:6. If there are 33 pupils altogether how many boys and girls are there?

4 4) In a cat and dog home the ratio of cats to dogs is 3:4. If there are 28 animals altogether how many of each animal is there? 57) In a garden the ratio of red flowers to yellow is 5:3. If there are 32 flowers altogether how many of each are there? 6) The ratio of Janet s pocket money to Julie s pocket money is 2:3. If Janet gets 5.60, how much does Julie get? 7) In a recipe for soup the ratio of carrots to potatoes is 4:5. If Fred has 360grams of carrots what weight of potatoes will he need? 8) Kelly is mixing purple paint using green and blue in the ratio 5:2. If she has 750ml of green paint, how many ml of blue paint will she need? 9) Mary and Beth share 360 in the ratio 2:7. How much will each person receive? 10) Alex and Peter are sharing 280 in the ratio 4:3. How much will each person receive? 11) Rory and Robert share 540 in the ratio 5:4. How much will each person receive? 12) Holly is making fruit smoothies. a) Berry punch uses blueberry, blackberry and raspberries in the ratio 3:4:5. How much of each fruit juice would be needed to make 3.6 litres. b) Passion delight uses mango, banana and passion fruit in the ratio 5:2:4. How much of each fruit juice would be needed to make 2.2 litres. c) Apple surprise uses apples, pears and kiwis in the ratio 3:4:2. How much of each fruit juice would be needed to make 4.5 litres. Proportion. 1) Eight children s golf balls cost How much does one golf ball cost? 2) Seven toy cars cost How much does one toy car cost? 3) Nine iced buns cost How much does one iced bun cost? 4) Five sweets cost 30pence. How much would eight sweets cost? 5) Three cartons of orange juice costs How much would five cartons cost? 6) A wall 8metres by 3 metres costs 72 to paint. How much would it cost to paint a wall 6 metres by 5 metres?

5 7) Three men take 4 hours to tidy Mrs Brown s garden. How long would it take one man to do the same job? 8) Two men take 5 hours to paint a fence. How long would it take one man? 9) Three woman take 10 minutes to wash a car. How long would it take one woman? 10) It took 6 people 40 minutes to mop the dance floor of their local church hall. How long would it take two people? 11) Two dozen chickens have enough food to last them 6 days. How long will the same amount of food feed 4 chickens? 12) Mary can sew 360 stitches in twelve minutes. How long will it take her to sew 240 stitches? Answers: Please note: these answers are a first edition and if you disagree with any please ask your teacher/friend. We hope they are all correct but as with any first edition anticipate at least one error! Thank you Answers. Fractions 1) 23/5 b. 25/2 c. 27/7 d. 44/3 e. 35/12 2) 4 3/5 b. 3 3/7 c. 6 1/6 d. 19 e. 2 4/5 3) 1 1/7 b. 7/9 c. 3 7/11 d. 5 4/5 4) 3 1/10 b. 8 8/35 c. 29/44 d. 6 17/20 5) 3/28 b. 4/15 c. 12 8/11 d. 2 11/40 6) 5 5/6 b. 20/27 c. 1 51/77 d. 4 2/7 7) 6 3/8 8) 20 5/14 b /35 9) 12 19/20 seconds Percentages 1) 55 2) 96 3) 989 4) 40 5) 200 6) 600 7) 400 8) 600 9) ) ) a) b) c) d) )60% 13) 80% 14) 90% 15) ) 2720 Equations / Inequations Section A /12

6 Section B Section C Section D x > x < x < x < 6 Ratio: 1) a) 2:5 b) 3:7 c) 4:15 d) 3:10 e) 3:5 f) 2:5: 16 g) 2:5:12 h) 2:5:9 i) 2:5:9 2a) 15:30 = 1:2 b) 45:30 = 3:2 c) 50:200 = 1:4 d) 250:80 = 25:8 e) 1:100 f) 200:1 g) 3:4 3) Boys = 15:18 4) 12: 16 5) 20:12 6) 2.24: ) ) 300ml 8) 80: 280 9) 160: ) 300: a) 900:1200: b) 1000: 400: c) 1500: 2000:1000 Proportion 1) 36p 2) ) 85p 4) 48p 5) ) 90 7) 12 hours 8) 10hours 9) 30mins 10) 120mins or 2 hours 11) 24 chickens = 6 days...4 chickens = 36 days 12)320 stitches in 12 minutes stitches in 4 mins so 240 stitches in 8 minutes.