Core Skills Numeracy Unit 3: Numerical Skills Outcome 4 [ACCESS 3] Notation – whole numbers Fractions, percentages and decimals Addition and subtraction Multiplication and division Using formula Solving problems Preparing for assessment Sample assessment (Outcome 4) Sample assessment (Outcomes 1 to 4) Answers 1 8 26 36 46 49 53 60 64 73 NOTATION – WHOLE NUMBERS © Learning and Teaching Scotland 2004 This publication may be reproduced in whole or in part for educational purposes by educational establishments in Scotland provided that no profit accrues at any stage. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION ii © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS NOTATION – WHOLE NUMBERS Notation vocabulary 0 zero , nothing,nought, nil 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen Hundreds 10 20 30 40 50 60 70 80 90 100 200 300 400 500 600 700 800 900 Tens ten twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred six hundred seven hundred eight hundred nine hundred Units NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 1 © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS 4.1P Write down the number shown on each abacus in figures. 1 Hundreds 2 Tens Units 4 Hundreds Tens Units Tens Units Hundreds Hundreds Hundreds Tens Units Hundreds Tens Units Units Hundreds Units Hundreds Tens Units Hundreds Tens Units Tens Units Tens Units 9 Tens Units 12 Tens Units 14 Tens Tens 6 11 13 Hundreds Units 8 10 Hundreds Tens 5 7 Hundreds Hundreds 3 Hundreds 15 Tens Units Hundreds NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 2 © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS 4.2P 1 a) b) c) d) e) f) g) h) i) j) k) l) m) n) o) 2 Write each number in figures. seventy-five twenty-nine one hundred and sixty-four sixty five hundred and thirty-eight two hundred and fifteen six hundred and ninety-four thirteen fifty-five eight hundred and eighty-two four hundred and nine three hundred and seventy-three thirteen fifty-five eight hundred and eighty-two Write each number in words. a) b) c) d) e) f) g) h) i) j) k) l) m) n) 63 40 386 109 668 701 392 285 94 583 272 501 583 18 o) 612 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 3 © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS 4.3P 1 Use the competition results to answer the questions. RESULTS Arbroath Banff Carnoustie Dundee Elie Forfar a) b) c) d) e) 2 Grangemouth 65 24 38 71 58 42 49 Which team scored most points? Which team came second? Which teams scored less than fifty points? Which team scored thirty-eight points? Write down the teams in order of points scored. Start with the highest score. Use the table of sound levels to answer the questions. Sound Decibels traffic 65 talking 34 rocket taking off 180 thunder 98 quiet whisper 10 train 81 jet taking off 116 a) b) c) d) e) Which sound is less than twenty decibels? Which sounds are more than eighty decibels? Which sound is between ninety and one hundred decibels? Which sound was quietest? Sound greater than one hundred and thirty decibels is painful. Are any of these sounds painful? f) Write down the sounds in order of decibels. Start with the loudest sound. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 4 © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS 4.4P 1 Use the distance table to answer the questions. Distances from Glasgow Aberdeen Braemar Crianlarich Dundee Edinburgh Fort William John o’ Groats Largs a) b) c) d) e) f) 2 miles 142 111 51 77 44 103 296 30 Which place in the table is furthest from Glasgow? Which place is just over a hundred miles from Glasgow? How far is it from Glasgow to Scotland’s capital city? Which place is one hundred and eleven miles from Glasgow? Which places are less than sixty miles from Glasgow? Which places are more than ninety miles from Glasgow? A group of students are saving for a trip to France. The table shows the savings each person has made. Person Mark Terri Jade Steph Misba Vikki Usman Savings(£) 87 132 95 155 109 168 96 a) b) c) d) Who has saved most money? How many people have saved more than ninety pounds? Who has saved one hundred and sixty-eight pounds? Who has saved between one hundred and one hundred and ten pounds? e) Who has saved less than one hundred and fifty pounds? f) List the students in order of savings? Begin with the lowest amount. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 5 © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS 4.5P 3 5 Thousands Hundre ds 6 Tens 7 Units three thousand five hundred and sixty seven 1 a) b) c) d) e) f) g) h) i) j) k) l) m) n) o) 2 a) b) c) d) e) f) g) h) i) j) k) l) m) n) o) Write each number in figures. three thousand, five hundred and forty-two two thousand, six hundred and fourteen one thousand, two hundred and three eight thousand, seven hundred and twenty-five six thousand, eight hundred and eighteen five thousand, four hundred and thirty one thousand, three hundred and seventy-six ten thousand, one hundred and thirteen nine thousand, five hundred and twenty seven thousand, two hundred and five four thousand, nine hundred and eighty two thousand, three hundred and forty-one eight thousand and twenty-five five thousand, three hundred and forty-two six thousand and twenty-nine Write each number in words. 5631 9842 2763 1189 7210 6512 5370 9799 1923 5702 6057 4628 7001 3408 9761 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 6 © Learning and Teaching Scotland 2004 NOTATION – WHOLE NUMBERS 4.6p 1 Use the height table to answer the questions. Volcano Krakatoa Fuego Etna Stromboli Mauna Loa Cotopaxi Vesuvius Ruapehu Height (metres) 818 3835 3236 931 4170 5897 1289 2796 a) b) c) d) e) Which is the highest volcano? Which volcano is nine hundred and thirty-one metres high? Which volcanoes are less than one thousand metres high? Which volcanoes are more than two thousand metres high? Which volcano is greater than three thousand metres in height but less than three thousand five hundred metres? f) Make a list of these volcanoes in order of size. Begin with the highest volcano. 2 The table shows the height of some of Scotland’s mountains. Use the table to answer the questions. Mountain Ben Nevis Aonach Mor Ben Macdhui Cairn Gorm Lochnagar Ben Lair Schiehallion Height (feet) 4406 3999 4296 4084 3786 2817 3547 a) b) c) d) Which mountain is the tallest? Which mountain is four thousand and eighty-four feet? Which mountain is just under four thousand feet? Which mountain is between four thousand and eighty feet and four thousand and ninety feet? e) Which mountains are more than three thousand feet high? f) List the mountains in order of height. Begin with the lowest mountain. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 7 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS FRACTIONS, PERCENTAGES AND DECIMALS Fractions Dividing one into equal parts gives fractions. Two equal parts – halves Three equal parts – thirds Four equal parts – quarters Five equal parts – fifths Six equal parts – sixths Ten equal parts – tenths 1 4 one quarter one third 1 2 one half three quarters one 1 3 3 4 1 10% 5 oneten fifthpercent one sixth 1 6 1 10 one tenth NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 8 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.7P Name: ________________________ How many different ways can you find to shade in a half? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 9 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.8P Name: ________________________ How many different ways can you find to shade in a quarter? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 10 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.9P Name: ________________________ Shade in the fraction shown under each shape. 1 3 2 one quarter one half 4 5 one quarter 7 6 one eighth 8 one tenth 10 five eighths 9 three tenths 11 one fifth one eighth seven tenths 12 three fifths one half NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 11 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.10P Name: ________________________ What fraction of each shape is shaded? 1 2 4 7 10 3 5 8 11 6 9 12 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 12 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS Percentages Percentage involves dividing one into one hundred equal parts. 25 per cent 25 ‘out of 100’ 25% twenty-five percent 50% fifty percent 75% seventy-five percent 100% one hundred percent 25 100 = 25% 10% ten percent 20% twenty percent 30% thirty percent 40% forty percent NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 13 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.11P Name: ________________________ Shade in 50%. How many ways can you find to shade 50%? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 14 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.12P Name: ________________________ How many ways can you find to shade 10%? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 15 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.13P Name: ________________________ Shade in the percentage shown under each square. 1 3 2 80% 4 15% 6 5 45% 7 75% 33% 100% 11 90% 35% 9 8 10 60% 85% 12 50% 29% NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 16 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.14P What percentage of each square is shaded? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 17 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS Decimal fractions Decimal fractions mean dividing one into ten equal parts. 1 10 0á1 0.1 zero point one 10% 2 10 0á2 0.2 zero point two 20% 0á3 0.3 zero point three 0á4 0.4 zero point four 0á5 0.5 zero point five 3 10 30% 4 10 40% 5 10 50% 0á6 0.6 zero point six 6 10 10% 7 10 0á7 0.7 10% zero point seven 0á8 0.8 zero point eight 0á9 0.9 zero point nine 8 10 10% 9 10 10% 1.0 1á0 one point zero NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 1 100% 18 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.15P 11 Thispicture picture represents This the number 2.4. the number 2á4 represents Write whichnumbers numbers the Write down down which pictures below represent. the pictures below represent 2.4 2á4 a b c d e f 2 Write the following in numbers. a) c) e) g) fourteen point seven ten point two twenty-one point four nineteen point nine 3 Write the following in words. a) c) e) g) 15·6 32·9 0·6 50·8 b) d) f) h) eight point three fifteen point five thirty-five point one twelve point six b) d) f) h) 9·5 25·7 14·2 2·4 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 19 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.16P 1 Write the following in numbers. a) c) e) g) i) k) m) o) q) s) u) eight point six fifty per cent twenty-six point five seventy-five per cent two fifths thirty-five point four a quarter one tenth forty-five per cent forty point eight five point seven 2 Write the following in words. b) d) f) h) j) l) n) p) r) t) v) three quarters twelve point three twenty per cent one third sixty-five per cent a half eight point nine eighty per cent nineteen point one ten per cent one sixth a) 11·4 b) 1 2 c) 30% d) 15·3 e) 1 4 f) 75% g) 5·7 h) 1·8 i) 25% j) 29·2 k) 12·6 l) 45% n) 9·1 p) 22·7 q) 50% 1 5 r) s) 99% t) 16·5 1 3 u) 0·8 v) 10% m) o) 1 10 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 20 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS Fractions and percentages A fraction can mean the same as a percentage. A half of £10 means the same as 50% of £10. 1 50% = 50% 2 fifty percent per cent onefifty halfpercent one quarter one tenth one 1 4 = 25% twenty-five per cent 1 10 = 10% 1 = 100% ten per cent one hundred per cent NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 21 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS Finding 50% is the same as finding a half. 4.17P 1 of 42 = 21 2 21 Working 2 50% of 42 = 21 1 Find 50% of the following amounts. a) e) i) £8 £9 £38 2 Find a) e) i) £40 £31 £113 3 Find 50% of a) e) i) 428 kg £985 299 cm 4 1 Find 2 of the following amounts. a) e) i) 104 mm £28.70 £1286 b) f) j) £30 £56 £150 c) g) k) 42 60p £17 £290 d) h) l) £2.20 £5.50 £12.50 1 of the following amounts. 2 b) f) j) b) f) j) b) f) j) £120 £74 £69 c) g) k) 50p £114 £85 d) h) l) £6.80 £13.50 £19.70 650 m 1432 ml 56.20 m c) g) k) 112 cm 272 cm £33.60 d) h) l) £12.58 £537 167 kg 672 ml 85 km 896 kg d) h) l) 1536 kg 199 cm 538 mm 390 km £157 774 g c) g) k) 5 Tam found a closing-down sale that was giving a 50% discount on every item. What will he have to pay for a lawnmower which normally costs £250? (What is the discount on the lawnmower?) 6 Super Stores are having a sale. Everything is being sold at half price. The computer normally costs £699. Calculate the sale price for the computer. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 22 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS Finding 25% is the same as finding a quarter. 4.18P 1 of 48 = 12 4 Working 12 4 25% of 48 = 12 48 1 Find 25% of the following amounts. a) e) i) £8 £36 £24 2 Find a) e) i) £32 £8.44 £128 3 Find 25% of a) e) i) 228 kg £380 1600 cm 4 1 Find 4 of the following amounts. a) e) i) 208 mm £36.12 £912 5 The garage is giving a 25% discount on every car. What is the discount on a car costing £840 ? 6 The cost of the holiday is £252 per person. b) f) j) £40 £100 £120 c) g) k) 20p £28 £200 d) h) l) £4.40 £12 £1000 d) h) l) £4.80 £12.80 £16.40 152 cm 304 cm £55.60 d) h) l) £17.56 £616 748 kg 336 ml 60 km 572 kg d) h) l) 132 kg 22 cm 116 mm 1 4 of the following amounts. b) f) j) £16 £160 £600 b) f) j) 500 m 1824 ml 56.20 m b) f) j) 492 km £13.88 228 g c) g) k) 48p £320 £1200 c) g) k) c) g) k) Children under 4 years of age only cost 1 4 of the price. How much will it cost for three year-old Tom? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 23 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.19P 1 Find 10% of the following amounts. a) e) i) £30 £150 £12 2 1 Find 10 of the following amounts. a) e) i) £500 £800 £135 3 Find 10% of a) e) i) 850 kg £440 1500 cm 4 1 Find 10 of the following amounts. a) e) i) 250 mm £26.10 £98 b) f) j) £90 £100 £9 b) f) j) £240 £120 £630 b) f) j) b) f) j) c) g) k) c) g) k) 300 m 1360 ml 56 m 430 km £19.80 135 kg 50p £25 £15 80p £36 £1800 c) g) k) c) g) k) 270 cm 290 cm £14·70 370 ml 70 km 285 kg d) h) l) £40 70p £1000 d) h) l) £40 £17 £9·50 d) h) l) £22·50 £65 320 kg d) h) l) 135 kg 57 cm 183 cm 5 Ray has to pay a 10% deposit for his holiday. The holiday costs £325. How much will the deposit be? 6 Kia gives one tenth of her wages to the church each week. She earned £175 this week. How much will she give to the church this week? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 24 © Learning and Teaching Scotland 2004 FRACTIONS, PERCENTAGES AND DECIMALS 4.20P 1 Jerri’s petrol tank holds 36 litres. 1 How much petrol does he have if the tank is a 4 full. 2 Find the cost of the TV which normally costs £250. 3 Gary has to pay a 25% deposit on his new car. The full price of the car is £8400. How much will he have to pay as a deposit? 4 Eve gets 10% commission on the amount she sells. This week she sells £120 worth of clothes. How much commission will she get? 5 The computer shop is selling off a number of computers at half price. Calculate the sale price of a computer which normally costs £695? 6 Judith wants to give 1 of her wages to charity. 10 SALE 50% OFF EVERYTHING She earns £780 a month. How much will she give to charity? 7 The package holiday to Corfu costs £320 for each adult. Children under five years old pay 25% of the adult price. How much will it cost for Sam, age two, to go to Corfu? 8 Three friends share a lottery prize of £135. 1 Each person is to receive 3 of the prize money. How much will each person get? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 25 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION ADDITION EXAMPLE 17 + 234 + 9 = 1 Show working clearly. 2 Copy the question carefully. 3 Make sure the digits are in the correct column. 4 Begin with the units column. 5 Show carrying figures - this makes it easier for you to check your answer. 6 Check by adding from top to bottom - the answer should be the same. tens hundreds units 9 234 12 7 260 SUBTRACTION EXAMPLE 513 -Ğ 78 = 1 Show working clearly. 2 Copy the question carefully. 3 Make sure the digits are in the correct column. 4 Begin with the units column. 5 Show calculating figures - this makes it easier to check. 6 Check your answer by adding - the two lines at the bottom should add up to the top line. tens hundreds 4 units 1 0 1 513 Ğ 78 - 435 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 26 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION 4.21P Name: ________________________ How fast can you complete the addition square? Start Finish + Time taken 3 9 5 8 10 6 7 1 2 16 19 12 14 17 13 20 15 11 18 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 27 © Learning and Teaching Scotland 2004 4 ADDITION AND SUBTRACTION 4.22P Name: ________________________ Make up your own addition challenge or set the challenge for a partner by choosing the numbers to be added. Start Finish Time taken NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 28 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION + NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 29 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION Addition 4.23P In each question below add the numbers together 1 23 + 14 2 37 + 18 3 56 + 16 4 47 + 9 5 29 + 15 6 67 + 19 7. 45 + 17 8 88 + 13 9 43 + 17 10 86 + 16 11 97 + 19 12 38 + 25 13 27 + 78 14 75 + 26 15 93 + 28 16 6 38 29 17 6 47 38 18 6 54 87 19 6 26 76 20 6 19 85 21 6 45 77 22 6 61 79 23 6 34 87 24 6 15 89 25 6 99 44 26 6 67 77 72 27 6 88 5 67 28 6 29 94 38 66 58 29 99 31 116 + 67 + 245 32 421 + 184 + 47 33 8 + 207 + 59 34 223 + 152 + 63 35 43 + 59 + 163 36 125 + 88 + 381 37 59 + 9 + 173 38 25 + 39 + 179 39 232 + 119 + 366 40 182 + 74 + 88 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 30 6 93 16 8 30 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION 4.24P Name: ________________________ How fast can you complete the subtraction square? Start Finish Time taken 12 14 20 18 15 13 17 11 16 19 -4 -9 -2 -8 -3 -1 -5 -0 -7 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 31 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION Subtraction 4.25P 1 18 – 9 2 13 – 5 3 16 – 9 4 23 – 6 5 36 – 8 6 17 – 5 7 25 – 8 8 22 – 9 9 24 – 6 10 23 – 7 11 21 – 6 12 42 – 7 13 51 – 6 14 33 – 9 15 64 – 8 16 6 48 –16 17 6 18 6 35 –13 58 –37 19 6 46 –25 20 6 95 –53 21 6 32 –19 22 6 55 –18 23 6 44 –15 24 6 73 –27 25 6 54 –38 26 6 42 –15 27 6 81 –57 28 6 55 –29 29 6 79 –36 30 6 92 –33 31 6 338 –215 32 6 463 –151 33 6 254 – 28 34 6 376 –109 35 6 271 –199 36 135 – 69 37 217 – 57 38 354 – 188 39 243 – 187 40 592 – 37 41 181 – 55 42 532 – 106 43 441 – 177 44 282 – 74 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 32 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION 4.26P Addition and subtraction 1 Find the total of 14 and 37. 2 What is the difference between 31 and 24? (Difference means that you need to subtract.) 3 What is the sum of 46 and 29? 4 Calculate 24 minus 15. 5 Add 35, 15 and 12. 6 35 take away 28. 7 Subtract 17 from 36. 8 Find the total of 41 and 37. 9 What is the difference between 29 and 18? 10 What is the sum of 35 and 27? 11 25 minus 18. 12 Add 26 and 18. 13 27 take away 18. 14 Subtract 11 from 36. 15 Find the total of 37 and 19. 16 Subtract 15 from 26. 17 Find the total of 48 and 36. 18 What is the difference between 30 and 18? 19 Find the sum of 33 and 46? 20 Calculate 38 minus 21. 21 Add 26, 24 and 11. 22 Calculate 65 take away 12. 23 Subtract 44 from 60. 24 Find the total of 58 and 29. 25 What is the difference between 75 and 63? 26 What is the sum of 85 and 13? 27 Calculate 50 minus 28. 28 Add 26, 16 and 13. 29 Calculate 27 take away 13. 30 Subtract 18 from 29. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 33 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION Addition and subtraction 4.27P Copy and complete. 1 2 5432 675 1248 6 6 11 16 6 21 26 6 734 125 4397 7 6 576 – 134 3326 1587 984 2949 – 467 1154 2347 3686 2609 888 4083 31 6 12 695 – 224 2876 593 3851 17 6 22 1853 – 569 5479 1276 1264 27 6 8 6 13 18 6 23 28 2984 198 5660 4 5 88 507 2914 6520 –2874 32 6 6544 –3875 3 464 – 139 673 1403 7131 3838 932 35 9 6 652 – 375 14 3121 118 2923 19 8197 – 979 1898 2076 3217 1858 3495 2738 33 10 15 6 812 – 478 6777 428 1768 20 3232 – 538 24 6 3764 5412 2874 29 7530 – 1324 25 6 30 8617 –2975 34 5447 –1765 385 1864 2428 7643 3854 997 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 4216 1008 6592 87 1953 964 35 7543 –3289 34 © Learning and Teaching Scotland 2004 ADDITION AND SUBTRACTION 4.28P 1 Gina made journeys of 45 miles, 37 miles and 28 miles. Calculate her total mileage. 2 Jan spent £16, £35 and £27. How much did he spend altogether? 3 After four appearances on the local TV quiz show the village team had scored 48 points, 55 points, 72 points and 68 points. Calculate their total score. 4 Ray’s car started the journey with 62 litres of fuel. He used 39 litres during the trip. How much fuel was in the tank when he reached the end of the journey? 5 In the darts game each player threw three darts. Nick’s first three darts scored 57, 40 and 28. Calculate his total score. 6 On her expenses form Samia claimed £89 for travel, £38 for food and £75 for accommodation. Calculate her total claim. 7 The hotel kitchens bought 125 litres of cooking oil in January. By June the kitchen staff had used 96 litres. How much oil is left in store? 8 The price of the DVD player was £113. For the sale the shopkeeper reduced the price by £36. What price will the DVD player be in the sale? 9 Sam’s bonus payments for the last four weeks were £37, £25, £18 and £58. Calculate his total bonus for these four weeks. 10 The three berry pickers picked 19 kg, 27 kg and 25 kg. Work out the total weight of berries picked. 11 Mark went shopping with £65. What will he have left after spending £39 on DVDs? 12 Carrie deposited three cheques in her bank. The cheques were for £17, £66 and £39. How much did she deposit altogether. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 35 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION MULTIPLICA TION EXAMPLE 483 485 ×6 =6 = tens hundreds 1 Show working clearly. 2 Copy the question carefully. 3 Make sure the digits are in the correct column. 4 Begin with the units column. 5 Show carrying figures - this makes it easier to check. units 44 81 3 6 2898 DIVISION EXAMPLE 612 ÷ Ö 1 Show working clearly. 2 Copy the question carefully. 3 Make sure the digits are in the correct column. 4 = 153 4 4 Begin with the column on the LEFT. 5 Show carrying figures - this makes it easier to check. 2 1 612 start dividing here NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 36 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.29P Name: ________________________ Complete the table square neatly and accurately. It is a useful tool when working with multiplication and division. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 37 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.30P Name: ________________________ How fast can you complete the multiplication square? Start Finish Time taken 6 9 2 10 3 7 1 5 8 4 5 2 7 10 6 4 9 3 1 8 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 38 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.31P Name: ________________________ Use the numbers 2 to 11 in any order to create your multiplication square. Start Finish Time taken NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 39 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION Multiplication 4.32P 1 3×4 2 6×4 3 5×5 4 2×9 5 3×7 6 8×4 7 7×6 8 4×4 9 6×8 10 8×2 11 9×5 12 8×7 13 5×8 14 7 × 10 15 6×6 16 6 21 6 26 6 31 6 76 2 58 6 46 3 126 4 17 6 22 6 27 6 32 6 18 6 39 3 23 6 42 7 28 6 37 9 33 6 351 3 44 4 19 6 82 5 283 5 19 6 24 6 29 6 34 6 27 3 25 8 76 8 192 7 20 6 25 6 30 6 35 6 48 5 36 7 47 4 425 9 36 643 × 5 37 197 ×7 38 384 × 2 39 473 × 4 40 565 × 3 41 189 × 5 42 274 × 6 43 871 × 8 44 275 × 9 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 40 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.33P Name: ________________________ 1 20 ÷ 4 = 2 36 ÷ 9 = 3 35 ÷ 7 = 4 18 ÷ 2 = 5 9÷3= 6 25 ÷ 5 = 7 48 ÷ 6 = 8 60 ÷ 10 = 9 21 ÷ 7 = 10 24 ÷ 3 = 11 42 ÷ 6 = 12 27 ÷ 9 = 13 12 ÷ 4 = 14 18 ÷ 3 = 15 54 ÷ 6 = 16 64 ÷ 8 = 17 6÷2= 18 32 ÷ 4 = 19 72 ÷ 9 = 20 40 ÷ 8 = 21 49 ÷ 7 = 22 16 ÷ 4 = 23 36 ÷ 6 = 24 63 ÷ 7 = 25 45 ÷ 5 = 26 14 ÷ 2 = 27 12 ÷ 6 = 28 15 ÷ 3 = 29 24 ÷ 6 = 30 28 ÷ 4 = NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 41 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.34P Division 1 20 ÷ 4 2 16 ÷ 4 3 35 ÷ 5 4 36 ÷ 9 5 21 ÷ 7 6 28 ÷ 4 7 42 ÷ 6 8 8÷4 9 16 ÷ 8 10 20 ÷ 2 11 45 ÷ 5 12 24 ÷ 6 13 32 ÷ 4 14 70 ÷ 10 16 6 20 6 24 6 28 6 2 6 9 6 48 174 675 558 17 6 21 6 25 6 29 6 4 3 5 8 96 537 720 224 15 18 6 22 6 26 6 30 6 5 7 2 3 12 ÷ 6 19 6 85 23 6 910 27 6 992 31 6 498 3 81 8 504 7 833 4 756 32 425 ÷ 5 33 882 ÷ 3 34 564 ÷ 6 35 272 ÷ 4 36 609 ÷ 7 37 504 ÷ 8 38 738 ÷ 3 39 810 ÷ 9 40 754 ÷ 2 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 42 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.35P 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Multiplication and division Find the product of 5 and 9. What is one third of 18? What is 4 times 7? Calculate 35 divided by 5. Multiply three and four. Find one tenth of 80. Divide fifty-six by seven. Find the product of four and six. Find half of 38. Find three times ten. Find one fifth of 40. Multiply six times seven. Divide forty-nine by seven. Calculate nine multiplied by four. Calculate 24 divided by 3. Find a quarter of sixteen. What is one tenth of 20? What is 8 times 4? Calculate 20 divided by 2. Multiply nine and six. Find one sixth of 18. Divide twenty-four by three. Find the product of six and six. Find half of one hundred. Find ten times ten. Find one fifth of 25. Multiply two times thirteen. Divide twelve by six. Calculate eight multiplied by nine. Eleven times three? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 43 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION Multiplication and division 4.36P Copy and complete 1 482 2 3 5 6 6 10 2 48 428 7 3 347 7 6 11 4 743 6 4 291 6 8 6 96 12 129 9 5 674 583 2 5 9 6 85 13 4 467 8 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 3 14 81 358 7 44 © Learning and Teaching Scotland 2004 MULTIPLICATION AND DIVISION 4.37P 1 Mia travels 8 miles every day. Calculate the distance she travels in a week. 2 Joe spends a quarter of his wages on food. He earns £136 pounds a week. How much does he spend on food? 3 Dennis decides to save 75p every day. How much will he save in the month of January, which has 31 days? 4 Five friends share a lottery prize equally. They have won £720. How much will each person receive? 5 A television costs £450. The shop has a special offer. Customers can pay the cash price in 10 equal monthly payments. How much will each payment be? 6 Harry has to put down a deposit of one third of the cash price for his new car. The car costs £768. How much will he need to pay for the deposit? 7 A restaurant bill is £156. The six people at the table agree to pay an equal share of the bill. How much will each person pay? 8 Marnie spends £4 a day for transport to work. She works 5 days each week. How much will she spend if she works for 48 weeks in the year? 9 Each egg carton holds 6 eggs. How many cartons will it take to pack 450 eggs? 10 The market gardener plants 6 cucumbers in every row. How many rows will he be able to plant if he has 192 cucumber plants altogether? 11 Ernie wants to buy 8 DVDs. If each one costs £16, how much will he have to pay? 12 The stamps cost 27p each. How much will it cost for 9 stamps? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 45 © Learning and Teaching Scotland 2004 USING A FORMULA USING A FORMULA 1 Read the question carefully - you may need to read it more than once. 2 Copythe formula. 3 Substitute numbers for words. 4 Show working clearly. 5 Show answer with units clearly. 6 Ask IS THIS A SENSIBLE ANSWER? EXAMPLE The cost of a garage repair bill can be worked out using the formula below. T otal cost = 17 Hours + Cost of parts How much will it cost for a repair which took 5 hours and £128 worth of parts. 1 2 3 4 Read carefully T otal cost = 17 Hours + Cost of parts = 17 5 Show working + 128 85 11 2 1 8 13 7 5 85 21 3 5 Answer with units 6 £213 sounds sensible for the total cost. £2 1 3 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 46 © Learning and Teaching Scotland 2004 USING A FORMULA 4.38P 1 The amount a customer owes can be calculated by using the following formula. Amount owed = Total bill – Payment How much is owed when the total bill is for £267 and the payment made is £29. 2 The cost of a new kitchen can be calculated by using the following formula. Total cost = Cost of units + Cost of fitting + VAT What is the cost of a kitchen when the units are £850, the fitting costs £345 and the VAT is £209. 3 The distance travelled can be calculated by using the following formula. Distance = Speed Time What distance has Christopher travelled if his speed was 75 km/h for 4 hours. 4 The size of the third angle in a triangle can be calculated by using the following formula. Angle 3 = 180 – Angle 1 – Angle 2 Use the formula and the angle sizes given in the table below to find the size of the missing angles a b c ANGLE 1 29° 107° 96° ANGLE 2 ANGLE 3 56° 35° 18° NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 47 © Learning and Teaching Scotland 2004 USING A FORMULA 4.39P 1 The area of a rectangle can be calculated by using the following formula. Area = Length × Breadth Calculate the area of the rectangles in the table below by using the formula. Remember the area will be in square centimetres (cm2). Rectangle A B C 2 Length (cm) 16 28 19 Breadth (cm) 7 9 5 Area (cm2) The deposit for a car can be calculated using the formula below. Deposit = Price ÷ 5 Calculate the deposit required for a car costing £9625 3 The perimeter of a rectangle can be calculated by using the following formula. Perimeter = 2 (Length + Breadth) Calculate the perimeter of a rectangle which is 45 cm long and 28 cm broad. 4 The perimeter of a regular octagon can be calculated by using the following formula. Perimeter = Length of side 8 Calculate the perimeter of a regular octagon with sides 26 m long. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 48 © Learning and Teaching Scotland 2004 SOLVING PROBLEMS SOLVING PROBLEMS 1 Read the question carefully - you may need to read it more than once. 2 Select a strategy Ğ 3 Show working clearly. 4 Show answer with units clearly. 5 Ask ADD which one to choose? SUBTRACT MULTIPLY DIVIDE IS THIS A SENSIBLE ANSWER? EXAMPLE Dave spends £3 a day for transport to work. He works 5 days a week. He works 47 weeks a year. How much will he spend for transport to work in one year? 1 Read carefully ADD SUBTRACT MULTIPLY DIVIDE 2 Select a strategy 3 Show working 4 Answer with units 5 £705 sounds sensible for the yearÕs travel. 43 7 5 235 MULTIPLY 21 31 5 3 705 £7 0 5 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 49 © Learning and Teaching Scotland 2004 SOLVING PROBLEMS 4.40P 1 Six people shared a lottery prize equally. Each person received £348. How much did they win altogether? 2 Copy and complete the bill. Item 2 loaves Price 55p each 6 apples 18p each 500g cheese £5.60 per kg 3 bottles wine £4.99 each £ p TOTAL 3 The computer costs £899 but the VAT is an extra £157.50. What is the total cost for the computer. 4 Jen is offered an annual salary of £8520. How much will she be paid each month? 5 Ben Macdhui, the second highest Scottish mountain, is four thousand, two hundred and ninety-six feet high. The highest Scottish mountain is Ben Nevis which is four thousand, four hundred and six feet high. How much higher is Ben Nevis than Ben Macdhui? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 50 © Learning and Teaching Scotland 2004 SOLVING PROBLEMS 4.41P 1 Petrol costs 78p per litre. Tess puts 5 litres into her motorcycle tank. How much will the petrol cost? 2 Copy and complete the bill Items 4 light bulbs Price 68p each 2 blank videos £1.25 each 3 DVDs £15.99 each 5 CDs £5.78 each £ p TOTAL 3 Mr Mackay’s house has oil-fired central heating. His oil tank holds 500 litres of oil. The tank was filled at the beginning of September. Calculate how much oil has been used if there are only 143 litres left in the tank. 4 Ralph wants to plant 3 dozen tulips. On the internet he finds he can buy tulips for 8p per bulb. How much will he have to pay for 3 dozen bulbs? (Dozen = 12) 5 Ali paid £378 for 7 tables for her new coffee shop. How much did each table cost? She needs 4 chairs for each table. The chairs cost £10 each. How much will she need to spend on the chairs? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 51 © Learning and Teaching Scotland 2004 SOLVING PROBLEMS 4.42P 1 1 of the cars in the college car park are silver. 5 There are 235 cars parked. How many are silver? 2 Colin is packing his hand-made tablet into boxes. Each box holds 4 bars. How many boxes will he need to hold 196 bars of tablet? 3 For his holiday Scott paid a deposit of £65 and then made 10 equal payments of £18.60. Calculate the total cost of the holiday. The cash price for the holiday was £239. How much would he have saved by paying cash? 4 Kevin wants to save £486. If he saves £4 a week by walking to work, how long will it take him to save the money? 5 Jim has to buy all the art supplies for his department. His total budget is £1255. He spends £489 on paint and £265 on paper. Calculate how much he still has to spend. 6 Mike has to make an expenses claim at the end of each month. This month he has spent £282 on petrol, £174 on food and £79 on accommodation. What is his total expenditure this month? 1 7 Gill is offered a discount of 4 off the price of a new car by trading in her current car. What will she have to pay for a new car costing £9560? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 52 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT PREPARING FOR ASSESSMENT 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen 10 20 30 40 50 60 70 80 90 ten twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred six hundred seven hundred eight hundred nine hundred Notation Vocabulary Thousands Hundreds Tens Units 2146 Two thousand, one hundred and forty-six 1 2 = one half 1 4 = one quarter 1 10 one tenth one 100 200 300 400 500 600 700 800 900 1 = 50% fifty per cent 25% twenty-five per cent 50% fifty per cent 100% one hundred per cent NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 53 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT Preparing for assessment hu ndred s te ns hu ndred s te ns un its 9 234 12 7 260 4 un its hu ndred s 0 1 44 81 3 6 2898 435 SUBTRACTION 1 Show working clearly. 2 Copy the question carefully. 3 Make sure the digits are in the correct column. 4 Begin with the units column. 5 Show carrying figures - this makes it easier for you to check your answer. un its 1 513 - 78 Ğ ADDITION te ns MULTIPLICATION DIVISION 153 4 2 1 612 start dividing here Begin with the column on the LEFT. 1 Read the question carefully - you may need to read it more than once. 2 Select a strategy Ğ 3 Show working clearly. 4 Show answer with units clearly. 5 Ask 1 Copythe formula. 2 Substitute numbers for words. 3 Solve the problem ADD SUBTRACT MULTIPLY DIVIDE which one to choose? SOLVING PROBLEMS IS THIS A SENSIBLE ANSWER? USING A FORMULA NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 54 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT 4.43A 1 2 Name: ________________________ Write these number in figures. a) seventy-five b) five hundred and two Write each number in words. a) 63 b) 316 3 A group of friends are saving aluminium cans to raise money for charity. The table shows the number of cans each person has saved. Person Carl Pierre Josh Stacey Connor Jack Rajid Cans Saved 96 188 55 194 113 43 172 a) Who has saved most cans? b) How many people have more than one hundred cans? c) Who has saved exactly one hundred and thirteen cans? d) Who has saved less than eighty cans? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 55 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT 4.44A Name: ________________________ 1 What fraction of this square is shaded? 2 1 Shade in 6 of this hexagon. 3 4 What percentage is shaded? Shade 50% 5. Drew has to pay a 10% deposit for his holiday. The holiday costs £360. How much will he have to pay as a deposit? 6. Ranulph gives one third of his wages to his mother to pay for his food and board. He earns £135 a week. How much does he give to his mother each week? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 56 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT 4.45A Name: ________________________ 1 Find the total of 14 and 37. 2 What is the difference between 31 and 24? 3 37 + 9 = 4 93 – 8 = 5 5 + 76 = 6 72 – 7 = 9 401 58 395 7 48 8 16 27 11 135 + 69 + 502 284 –1 2 3 6 12 10 254 –1 7 6 214 – 47 13 William has to buy food for an expedition. His total budget is £764. He spends £258 on meat and £193 on fruit and vegetables. Calculate how much he still has to spend. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 57 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT 4.46A Name: ________________________ 1 Find one third of 21. 2 What is the product of 8 and 6? 3 7×4 4 20 ÷ 5 5 36 ÷ 4 6 6×8 7 11 374 2 871 × 8 659 4 9 10 4 12 72 6 438 465 ÷ 5 13 Doreen is packing eggs into boxes. Each box holds 6 eggs. How many boxes will she need in order to pack 276 eggs? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 58 © Learning and Teaching Scotland 2004 PREPARING FOR ASSESSMENT 4.47A Name: ________________________ 1 The amount a customer owes on their account can be calculated by using the following formula. Amount owed = Total bill – Payment How much is owed when the total bill is for £205 and the payment made is £37. 2 Annie paid a deposit of £75 and then made 10 equal monthly payments of £19. Calculate the total cost of the holiday. The cash price for the holiday was £230. How much would she have saved by paying cash? 3 Glen keeps a record of his spending each month. This month his living expenses are £134 for heating, £185 for food and £176 for rent. What is the total for his living expenses this month? He earns £856 per month. How much does he have left to spend? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 59 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOME 4 SAMPLE ASSESSMENT: OUTCOME 4 1 Write the number five hundred and thirty-eight in figures. ___________________________________________________ Write the number 76 in words. ___________________________________________________ 2 Use the distance table to answer the questions. Town Ayr Dunfermline Galashiels Kirkcaldy Oban Distance from Edinburgh (miles) 72 16 33 25 123 a) Which town is closest to Edinburgh? b) Which town is seventy-two miles from Edinburgh? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 60 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOME 4 3 Shade in 60% of this square. 4a) What fraction of this square is shaded? b) Shade in one third of this triangle. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 61 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOME 4 Don’s petrol tank holds 36 litres. How much is in his tank when it is 1 full. 4 litres 6 BARGAIN COMPUTERS 50% OFF NORMAL PRICE Calculate the sale price of the computer which normally costs £700. £ 7 Pete keeps a check on his commission each month by recording it in a table. Which month earned him more commission and how much more did he make? OCT WEEK 1 WEEK 2 WEEK 3 WEEK 4 COMMISSION £ 38 £ 12 £ 25 £ 53 TOTAL The best month was NOV WEEK 1 WEEK 2 WEEK 3 WEEK 4 £128 COMMISSION £ 14 £ 23 £ 49 £ 55 TOTAL £141 by £ NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 62 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOME 4 8 Kelly needs to save £252 for her holiday. She can save £6 each week. How many weeks will it take for her to save the money? weeks 9 The potter can produce 4 bowls a day. He works 5 days a week. How many bowls can he make in 7 weeks? bowls 10 The taxi fare can be worked out by using the formula. Cost = £2 miles travelled + £1·50 How much will it cost for a 3-mile journey? £ 11 Steve’s car needs a new gear-box. The new gear-box costs £85 and it will cost £177 to fit it. Calculate the total cost of repairing the car. £ NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 63 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 SAMPLE ASSESSMENT Outcome 1 1 Use a ruler to draw a line 8 centimetres long. 2 Measure the length of this line to the nearest centimetre. 3 Write down the weight of these carrots. 7 0 kg 1 6 2 5 4 4 3 Use shading to show a temperature of 15°C. 25 20 15 10 5 0 NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 64 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 Outcome 2 1 Jack keeps a record of the maximum temperature and the number of hours of sunshine each day of the week. Use the information to answer the questions. Day Temperature Hours of sunshine Mon 8°C 2 Tue 17°C 5 Wed 15°C 4 a) How many hours of sunshine were there on Tuesday? b) Which was the warmest day? Thu 13°C 3 Fri 19°C 7 Sat 10°C 2 Sun 12°C 3 2 a) What colour of car is most popular? b) How many cars were red? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 65 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 3 This graph shows the maximum temperature recorded in Inverness for each day of one winter week. a) Which day was warmest? b) Which day was recorded at 4°C? 4 The diagram shows a lawn surrounded by a path made from slabs. Each slab is 1 m square. Find the length and breadth of the lawn from the diagram. lawn Breadth ___________ Length ____________ NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 66 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 Outcome 3 Complete the table to show the information given below CAR Toyota Ford Mazda Volvo Honda RED 4 8 5 1 BLACK SILVER 10 15 14 4 25 1 BLUE 2 7 18 8 GREEN 0 1 1 8 0 Just 3 black Mazdas rolled off the fore court at Jo’s Garage last month. However, she did sell 9 black and 6 blue Toyotas though silver Fords did better with 11 cars sold. The red Volvo’s had 3 sales as did the silver Hondas. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 67 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 Complete the bar graph to show the figures in the table. Complete the diagram to show that a) the distance from Kirkcaldy to St Andrews is 24 miles b) the distance from Kirkcaldy to Dundee is 30 miles DUNDEE 22 miles PERTH 13 miles ST ANDREWS 35 miles STIRLING 22 miles 13 miles KIRKCALDY DUNFERMLINE NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 68 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 Outcome 4 1 Write the number two hundred and forty-nine in figures. _____________________________________________ Write the number 51 in words. _________________________________________________________ 2 Use the distance table to answer the questions. Town Ardrossan Ayr Braemar Callander Fort William 3 Distance from GLASGOW (miles) 29 33 111 36 103 a) Which town is closest to Glasgow? b) Which town is thirty-six miles from Glasgow? a) What percentage of this square is shaded? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 69 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 4 b) Shade in 80% of this square. a) What fraction of this hexagon is shaded? ____________________ b) Shade in one quarter of this square. NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 70 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 5 Gina’s petrol tank holds 30 litres. How much is in her tank when it is 13 full? litres 6 BARGAIN COMPUTERS 10% OFF NORMAL PRICE Calculate the sale price of the computer which normally costs £600. £ 7 Andy keeps a check of his spending on petrol each month by recording it in a table. In which month did he spend most on petrol? How much more did he spend? June SPENDING WEEK 1 WEEK 2 £ 26 £ 35 WEEK 3 £ 28 WEEK 4 TOTAL £ 41 The best month was July WEEK 1 WEEK 2 WEEK 3 WEEK 4 SPENDING £ 32 £ 40 £ 29 £ 36 TOTAL by £ NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 71 © Learning and Teaching Scotland 2004 SAMPLE ASSESSMENT: OUTCOMES 1 TO 4 8 Ali needs to save £175 for his holiday. He can save £5 each week. How many weeks will it take for him to save the money. weeks 9 The potter can produce 5 bowls a day. He works 7 days a week. How many bowls can he make in 4 weeks? bowls 10 The garage bill can be worked out by using the formula. Price = parts + labour + VAT How much will it be if parts cost £48, labour costs £79 and VAT is £22? £ 11 A bottle contains 240 ml of cough syrup. How many spoonfuls can you get from a bottle? One spoonful holds 5ml. Carrie has to take two 5 ml spoonfuls three times a day. How many days will the bottle last? NUMERACY: OUTCOME 4 (ACC 3) TEXT VERSION 72 © Learning and Teaching Scotland 2004 ANSWERS: UNIT 3, OUTCOME 4 ANSWERS 4.1P 1. 2. 3. 4. 5. 925 563 810 106 439 4.2P 1 a) 75 b) 29 c) 164 d) 60 e) 538 2 6. 707 7. 23 8. 610 9. 952 10. 537 f) 215 g) 694 h) 13 i) 55 j) 882 a) sixty-three b) forty c) three hundred and eighty six d) one hundred and nine e) six hundred and sixty eight f) seven hundred and one g) three hundred and ninety two h) two hundred and eighty five 11. 388 12. 349 13. 413 14. 781 15. 629 k) 409 l) 373 m) 13 n) 55 o) 882 i) ninety four j) five hundred and eighty three k) two hundred and seventy two l) five hundred and one m) five hundred and eighty three n) eighteen o) six hundred and twelve 4.3P 1. a) Dundee b) Arbroath c) Banff, Carnoustie, Forfar d) Carnoustie e) Ordered: Dundee, Arbroath, Elie, Forfar, Carnoustie, Banff 2. a) Quiet whisper b) Rocket,jet,thunder,train c) Thunder d) Whisper e) Rocket f) Ordered: Rocket, jet, thunder, train, traffic, talking, whisper NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 73 ANSWERS: UNIT 3, OUTCOME 4 4.4P 1 a) John O’Groats b) Fort William c) 44 miles to Edinburgh d) Braemar e) Edinburgh, Crianlarich, Largs f) Aberdeen, Braemar, Fort William, John O’Groats 2 a) Vikki b) Terri, Steph, Jade, Misba, Vicki, Usman c) Vikki d) Misba e) Mark, Terri, Jade, Misba, Usman f) Ordered: Mark, Jade, Usman, Misba, Terri, Steph, Vikki 4.5P 1 a) 3 542 b) 2 614 c) 1 213 d) 8 725 e) 6 818 f) 5 430 g) 1 376 h) 10 113 i) 9 520 j) 7 205 2 a) five thousand six hundred and thirty one b) nine thousand eight hundred and forty two c) two thousand seven hundred and sixty three d) one thousand one hundred and eighty nine e) seven thousand two hundred and ten f) six thousand five hundred and twelve g) five thousand three hundred and seventy h) nine thousand seven hundred and ninety nine i) one thousand nine hundred and twenty three j) five thousand seven hundred and two k) six thousand and fifty seven l) four thousand six hundred and twenty eight m) seven thousand and one n) three thousand four hundred and eight o) nine thousand seven hundred and sixty one k) 4 980 l) 341 m) 8 025 n) 5 342 o) 6 029 4.6P 1 a) Cotopaxi b) Stromboli c) Stromboli and Krakatoa d) Fuego, Etna, Mauna Loa, Cotopaxi, Ruapehu e) Etna f) Cotopaxi, Mauna Loa, Fuego, Etna, Ruapehu, Vesuvius, Stromboli, Krakatoa NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 74 ANSWERS: UNIT 3, OUTCOME 4 2 a) Ben Nevis b) Cairn Gorm c) Aonach Mor d) Cairn Gorm e) All except Ben Lair f) Ben Lair, Schiehallion, Lochnagar, Aonach Mor, Cairn Gorm, Ben Macdhui, Ben Nevis 4.7P Check that one half of each diagram is shaded on worksheet 4.8P Check that a quarter of each diagram is shaded on worksheet 4.9P Check that shading matches the amounts on worksheet. 4.10P 1. 2. 3. 4. ¼ ½ 8/16 = ½ 1/5 5. 6. 7. 8. 1/3 1/6 3/6 = ½ ¾ 9. 10. 11. 12. 2/3 ¼ 4/10 = 2/5 2/4 = ½ 4.11P Check that 50% of each diagram is shaded on worksheet. 4.12P Check that 10% of each diagram is shaded on worksheet. 4.13P Check that shading matches the amounts on worksheet. 4.14P All units are percentages. 1. 2. 3. 4. 5. 6. 7. 8. 80 40 25 40 20 40 70 36 9. 10. 11. 12. 13. 14. 15. 16. 15 37 51 64 6 59 90 99 17. 18. 19. 20. 21. 22. 23. 24. 75 93 14 81 50 20 73 100 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 75 ANSWERS: UNIT 3, OUTCOME 4 4.15P 1. a) 3.5 b) 2.6 c) 1.7 d) 2.1 e) 3.3 f) 5.8 2. a) 14.7 b) 8.3 c) 10.2 d) 15.5 e) 21.4 f) 35.1 g) 19.9 h) 12.6 3. a) fifteen point six b) nine point five c) thirty two point nine d) twenty five point seven 4.16P 1. a) b) c) d) e) f) g) h) i) j) k) e) zero point six f) fourteen point two g) fifty point eight h) two point four 8.6 ¾ 50% 12.3 26.5 20% 75% 1/3 2/5 65% 35.4 l) m) n) o) p) q) r) s) t) u) v) ½ ¼ 8.9 1/10 80% 45% 19.1 40.8 10% 5.7 1/6 eleven point four a half thirty percent fifteen point three a quarter seventy five percent five point seven one point eight twenty five percent twenty nine point two twelve point six l) m) n) o) p) q) r) s) t) u) v) forty five percent a tenth nine point one fifty percent twenty two point seven a fifth sixteen point five ninety nine percent a third zero point eight ten percent 2. a) b) c) d) e) f) g) h) i) j) k) NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 76 ANSWERS: UNIT 3, OUTCOME 4 4.17P 1. 2. 3. a. b. c. d. e. f. g. h. i. j. k. l. £4 £15 30p £1.10 £4.50 £28 £8.50 £2.75 £19 £75 £145 £6.25 a. b. c. d. e. f. g. h. i. j. k. l. £20 £60 25p £3.40 £15.50 £37 £57 £6.75 £56.5 £34.5 £42.5 £9.85 a. b. c. d. e. f. 52mm 195km 336ml 768kg £14.35 £78.50 g. h. i. j. k. l. 42.5km 99.5cm £643 387g 448kg 269mm a. b. c. d. e. f. g. h. i. j. k. l. 214kg 325m 56cm £6.29 £492.50 716ml 136cm £268.50 149.5cm 28.1m £16.80 83.5kg 4. 5. £125 6. £349.50 4.18P 1. a. b. c. d. e. f. £2 £10 5p £1.10 £9 £25 g. h. i. j. k. l. £7 £3 £6 £30 £50 £250 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 77 ANSWERS: UNIT 3, OUTCOME 4 2. a) b) c) d) e) f) £8 £4 12p £1.20 £2.11 £40 g) h) i) j) k) l) £80 £3.20 £32 £150 £300 £4.10 a) b) c) d) e) f) 57kg 125m 38cm £4.39 £95 456ml g) h) i) j) k) l) 76cm £154 400cm 14.05m £13.90 187kg a) b) c) d) e) f) 52mm 123km 84ml 33kg £9.03 £3.47 g) h) i) j) k) l) 15km 5.5cm £228 57g 143kg 29mm g. h. i. j. k. l. £2.50 7p £1.20 90p £1.50 £100 3. 4. 5. 6. 4.19P 1. a. b. c. d. e. f. £210 £63.00 £3 £9 5p £4 £15 £10 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 78 ANSWERS: UNIT 3, OUTCOME 4 2. a) b) c) d) e) f) £50 £24 8p £4 £80 £12 g) h) i) j) k) l) £3.60 £1.70 £13.50 £63 £180 95p a) b) c) d) e) f) 85kg 30m 27cm £2.25 £44 136ml g) h) i) j) k) l) 29cm £6.50 150cm 5.6m £1.47 32kg a) b) c) d) e) f) 25mm 43km 37ml 13.5kg £2.61 £1.98 g) h) i) j) k) l) 7km 5.7cm £9.80 13.5kg 28.5kg 18.3cm 5. 6. 7. 8. £347.50 £78 £80 £45 3. 4. 5. 6. £32.50 £17.50 4.20P 1. 2. 3. 4. 9 litres £125 £2100 £12 4.21P Grid completed 4.22P Grid completed – pupil’s own numbers NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 79 ANSWERS: UNIT 3, OUTCOME 4 4.23P 1. 37 2. 55 3. 72 4. 56 5. 44 6. 86 7. 62 8. 101 9. 60 10. 102 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 116 63 105 101 121 67 85 141 102 104 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 122 140 121 104 143 216 160 198 186 117 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 428 652 274 438 265 594 241 243 717 344 4.24P Grid completed. 4.25P 1. 9 2. 8 3. 7 4. 17 5. 28 6. 12 7. 17 8. 13 9. 18 10. 16 11. 15 12. 35 13. 45 14. 24 15. 56 16. 32 17. 22 18. 21 19. 21 20. 42 21. 13 22. 37 4.26P 1. 51 2. 7 3. 75 4. 9 5. 62 6. 7 7. 19 8. 78 9. 11 10. 62 23. 29 24. 46 25. 16 26. 27 27. 24 28. 26 29. 43 30. 59 31. 123 32. 312 33. 226 11. 7 12. 44 13. 9 14. 25 15. 56 16. 11 17. 84 18. 12 19. 79 20. 17 34. 267 35. 72 36. 66 37. 160 38. 166 39. 56 40. 555 41. 126 42. 426 43. 264 44. 208 21. 61 22. 53 23. 16 24. 87 25. 12 26. 98 27. 22 28. 55 29. 14 30. 11 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 80 ANSWERS: UNIT 3, OUTCOME 4 4.27P 1. 7355 2. 5256 3. 3509 4. 1805 5. 4677 6. 442 7. 471 8. 325 9. 277 10. 334 11. 5897 12. 7320 4.28P 1. 110 miles 2. £78 3. 243 points 4. 23 litres 5. 125 6. £202 13. 9207 14. 6162 15. 8973 16. 2482 17. 1284 18. 7218 19. 2694 20. 6206 21. 7187 22. 8019 23. 7191 24. 12050 25. 11816 26. 7580 27. 3646 28. 8091 29. 5642 30. 3004 31. 2669 32. 8842 33. 3682 34. 12494 35. 4254 7. 29 litres 8. £77 9. £138 10. 71 kg 11. £26 12. £122 4.29P Grid completed. 4.30P Grid completed. 4.31P Grid completed – pupil’s own numbers 4.32P 1. 12 2. 24 3. 25 4. 18 5. 21 6. 32 7. 42 8. 16 9. 48 10. 16 11. 45 12. 56 13. 40 14. 70 15. 36 16. 152 17. 117 18. 176 19. 81 20. 240 21. 348 22. 294 23. 114 24. 200 25. 252 26. 138 27. 333 28. 410 29. 608 30. 188 31. 504 32. 1053 33. 1415 34. 1344 35. 3825 36. 3215 37. 1379 38. 768 39. 1892 40. 1695 41. 945 42. 1644 43. 6968 44. 2475 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 81 ANSWERS: UNIT 3, OUTCOME 4 4.33P 1. 5 2. 4 3. 5 4. 9 5. 3 6. 5 7. 8 8. 6 9. 3 10. 8 11. 7 12. 3 13. 3 14. 6 15. 9 16. 8 17. 3 18. 8 19. 8 20. 5 21. 7 22. 4 23. 6 24. 9 25. 9 26. 7 27. 2 28. 5 29. 4 30. 7 4.34P 1. 5 2. 4 3. 7 4. 4 5. 3 6. 7 7. 7 8. 2 9. 2 10. 10 11. 9 12. 4 13. 8 14. 7 15. 2 16. 24 17. 24 18. 17 19. 27 20. 29 21. 179 22. 130 23. 63 24. 75 25. 144 26. 496 27. 119 28. 93 29. 28 30. 166 31. 189 32. 85 33. 294 34. 94 35. 68 36. 87 37. 63 38. 246 39. 90 40. 377 4.35P 2. 45 3. 6 4. 28 5. 7 6. 12 7. 8 8. 8 9. 24 10. 19 11. 8 12. 42 13. 7 14. 36 15. 8 16. 4 17. 2 18. 32 19. 10 20. 54 21. 3 22. 8 23. 36 24. 50 25. 100 26. 5 27. 26 28. 2 29. 72 30. 33 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 82 ANSWERS: UNIT 3, OUTCOME 4 4.36P 1. 2. 3. 4. 5. 2410 1041 1746 1348 2332 6. 24 7. 24 8. 17 9. 27 10. 2996 11. 4458 12. 1161 13. 3736 14. 2506 5. 6. 7. 8. 9. 75 cartons 10. 32 rows 11. £128 12. £2.43 4.37P 1. 2. 3. 4. 56 miles £34 £23.25 £144 £45 £256 £26 £960 4.38P 1. £238 2. £1404 3. 300km 4. 95 o, 38 o, 66 o 4.39P 1. 112, 252, 95cm 2 2. £1925 3. 146cm 4. 208m 4.40P 1. £2088 2. £1.10 £1.08 £2.80 £14.97 Total £19.95 3. £1056.50 4. £710 5. 110 feet 4.41P 1. £3.90 2. £2.72 £2.50 £42.97 £28.90 Total £82.09 3. 357 litres 4. £2.88 5. £54, £280 4.42P 1. 47 cars 2. 49 boxes 3. £251 £12 4. by 122 weeks 5. £501 6. £535 7. £7170 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 83 ANSWERS: UNIT 3, OUTCOME 4 Outcome 1 Reading scales – Preparation for assessment 4.43A 1. a) 75 b) 502 2. a) sixty three b) three hundred and sixteen 3. a) Stacey b) 4 c) Connor d) Josh and Jack 4.44A 1. 1/4 2. Any 1/6 shaded 3. Any 50% shaded 4. 25% 5. £36 6. £45 4.45A 1. 2. 3. 4. 5. 6. 7. 51 7 46 85 81 65 91 8. 161 9. 854 10. 78 11. 706 12. 167 13. £313 4.46A 1. 2. 3. 4. 5. 6. 7. 7 48 28 4 9 48 748 8. 2636 9. 18 10. 73 11. 6968 12. 93 13. 46 4.47A 1. £168 2. £265 £35 3. £495 £361 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 84 ANSWERS: UNIT 3, OUTCOME 4 Sample assessment Outcome 4 1. a) 538 b) seventy six 2. a) Dunfermline b) Ayr 3. a) 25% b) any 60% shaded 4. a) ¼ b) any third shaded 5. 9 litres 6. £350 7. £128 £141 November, £13 more 8. 42 weeks 9. 140 bowls 10. £7.50 11. £262 NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 85 ANSWERS: UNIT 3, OUTCOME 4 Sample assessment Outcome 1 1. 2. 3. 4. Check line is approx 8 cm long 13 cm 3 kg Check that 15 has been shaded correctly Outcome 2 1. a) 5 b) Friday 2. a) Silver b) 7 3. a) Friday b) Tuesday 4. 7 m and 3 m Outcome 3 1. Table completed with 9 6 11 3 4 3 2. Check graph joined to 4, 6, 12, and 8 3. Check 3 bars at 7, 5 and 2 4. 30 miles and 24 miles added to diagram correctly Outcome 4 1. a) 249 b) fifty one 2. a) Ardrossan b) Callander 3. a) 50% b) any 80% shaded 4. a) 1/6 b) check ¼ shaded 5. 10 litres 6. £540 7. £130, £137, £7 more in July 8. 35 weeks 9. 140 bowls 10. £149 11. 48 spoonfuls 8 days NUMERACY: UNIT 3 (ACC 3) TEXT VERSION ANSWERS © Learning and Teaching Scotland 2004 86