Edexcel Maths GCSE - Decimals (F) 1 PDF Past Paper

Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Q1. Frankie says that 15 − 3 × 2 = 24. Frankie is wrong. Explain why....................................

Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Q1. Frankie says that 15 − 3 × 2 = 24. Frankie is wrong. Explain why................................................................................................................................... (Total 1 mark) Q2. The cost of 30 litres of petrol is £28.80. Work out the cost of 1 litre of this petrol...................................... (Total 3 marks) Q3. (a) Write these numbers in order of size. Start with the smallest number. –5 3 –1 0 8.............................................. (1) Page 1 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) Work out 7+3×5 (1) (Total 2 marks) Q4. A packet of popcorn costs £1.99 Lisa buys 2 packets of popcorn. She pays with a £5 note. Work out how much change Lisa should get. £................................... (Total 2 marks) Q5. There were 34 coins in a bag. Jim took 15 coins out of the bag. Rose put 17 coins into the bag. How many coins are now in the bag? Page 2 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com................................... (Total 2 marks) Q6. Kaz buys a car. The normal price of the car is £7200 Kaz gets a 10% discount. (i) Work out 10% of £7200 £................................. (ii) Work out how much Kaz pays for the car. £................................. (Total 3 marks) Page 3 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Q7. The table shows temperatures at midnight and midday on one day in five cities. Midnight Midday City temperature temperature Belfast −3 °C 4 °C Cambridge −1 °C 4 °C Edinburgh −7 °C −1 °C Leeds −6 °C 3 °C London −2 °C 6 °C (a) Which city had the lowest midnight temperature?........................................ (1) (b) How many degrees higher was the midnight temperature in Cambridge than the midnight temperature in Leeds?......................... °C (1) (c) Which city had the greatest rise in temperature from midnight to midday?........................................ (1) (Total 3 marks) Q8. (a) Work out 400 – 193.......................... (2) Page 4 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) Work out 4 – 9.......................... (1) (c) Work out –3 × 5.......................... (1) (d) Work out 300 ÷ 50.......................... (1) (Total 5 marks) Q9. At midnight the temperature was –9°C. By 10 am, the temperature had risen by 8°C. (a) Work out the temperature at 10 am..........................°C Page 5 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (1) At midday the temperature was 5°C. (b) Work out the difference between the temperature at midnight and the temperature at midday..........................°C (2) On another day the temperature at midnight was –7°C, the temperature at 10 am was –1°C and the temperature at midday was 3°C. Jenny says that, on this day, the temperature at 10 am is halfway between the temperatures at midnight and at midday. (c) Is Jenny correct? You must give a reason for your answer................................................................................................................................................................................................................................................................................................................................................................... (2) (Total 5 marks) Q10. Work out 342 × 24. Page 6 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com................................. (Total 3 marks) Q11. Comp Parts and Z Parts both sell memory sticks. Comp Parts Z Parts Memory sticks £4 each Memory sticks 1 free stick for every £35 for a box of 10 sticks 10 sticks bought There are 150 students in Year 10 in a school. A teacher needs to buy a memory stick for each student. At which of the shops should he buy the memory sticks? You must show all your working. Page 7 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (Total 5 marks) Q12. Yusuf is planning a disco party at his Youth Club. Here are his costs. Mobile Disco £230 Hire of room £150 Other costs £30 Food £12 per person Yusuf charges £16 per ticket. He sells 100 tickets. Is there enough money from the ticket sales for Yusuf to pay all his costs? You must show your working. Page 8 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (Total 4 marks) Q13. This is the meter reading card for Mr Hassan’s use of electricity. Here is part of Mr Hassan’s bill. Page 9 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Find the total cost of Mr Hassan’s electricity bill. £..................................... (Total 6 marks) Q14. Jemilla goes swimming. She swims 64 lengths of a swimming pool. Each length is 25 m long. (a) Work out how far Jemilla swims. Give your answer in kilometres. Page 10 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com..................................... kilometres (3) The swimming pool is 25 m long by 10 m wide by 2.5 m deep. (b) How many litres of water does it contain?..................................... l (3) (Total 6 marks) Q15. Ben buys 10 trays of bottled water for £5.99 a tray. Each tray holds 12 bottles of water. Ben goes to a car boot sale to sell his water. In the morning he sells 80 bottles at 99p each. In the afternoon he reduces the price and he sells all the bottles he has left for 75p each. How much profit or loss does he make? Page 11 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com £..................................... (Total 5 marks) ## Jan bought 3 boxes of Salt ‘n’ Vinegar crisps and 2 boxes of Ready Salted crisps to sell at the Year 11 disco. There are 48 bags of crisps in each box. At the end of the disco there were 25 bags of crisps left. How many bags of crisps were sold at the disco?..................................... Bags (Total 3 marks) Page 12 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Q17. The diagrams show three different size packets of Brew Tea Bags (BTB). Diagram NOT accurately drawn Tommy buys 200 bags of Brew Tea Bags (BTB). Tommy pays with a £10 note. (a) Which packets should Tommy buy to leave him with the most change from £10? You must show your working. (4) A supermarket shelf has room for just 72 small packets of Brew Tea Bags (BTB). On Tuesday morning, when the supermarket opens, there are 57 packets on the shelf. During the day, 125 packets are sold and 2 cartons, each containing 48 packets, are used to keep the shelf stocked up. (b) Is there any space on the shelf to unpack another carton of 48 packets? Page 13 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com You must show your working. (3) (Total 7 marks) Q18. The table gives information about the temperatures at midnight on New Year’s Eve in 5 capital cities. City Temperature London –3°C Madrid 7°C Oslo –11°C Washington DC 1°C Wellington 14°C In Oslo, the temperature dropped by 8 degrees from midday to midnight. (a) What was the temperature in Oslo at midday?..................................... (1) At midnight on New Year’s Eve in Paris, the temperature was halfway between the Page 14 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com temperature in London and the temperature in Madrid. (b) What was the temperature in Paris? You must show your working...................................... (2) (Total 3 marks) Q19. This is part of a list of TV programmes for one evening. (a) Which TV programme lasts for 10 minutes?..................................... (1) Brian turned on his TV set at 19 40 (b) How many minutes did Brian have to wait for the start of Arthur?..................................... minutes (1) Page 15 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Richard Hammond’s Blast Lab lasts for 45 minutes. (c) At what time did Richard Hammond’s Blast Lab end?..................................... (1) (Total 3 marks) Q20. Mandy lives in Weymouth. She is planning a shopping trip to Bournemouth. She will travel by train. Here is part of the train timetable from Weymouth to Southampton and from Southampton to Weymouth. Weymouth to Southampton Weymouth 0903 1003 1103 1203 1303 Dorchester 0913 1013 1113 1213 1313 Poole 0940 1040 1140 1240 1340 Bournemouth 0953 1053 1153 1253 1353 Brockenhurst 1020 1120 1220 1320 1420 Southampton 1026 1126 1226 1326 1426 Southampton to Weymouth Southampton 1224 1324 1424 1524 1624 Brockenhurst 1237 1337 1437 1537 1637 Page 16 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Bournemouth 1300 1400 1500 1600 1700 Poole 1335 1435 1535 1635 1735 Dorchester 1344 1444 1544 1644 1744 Weymouth 1355 1455 1555 1655 1755 It takes Mandy 25 minutes to walk from home to the train station at Weymouth. She wants to be in Bournemouth for 3 hours. Plan a schedule for Mandy’s shopping trip. Time Mandy leaves home Train departs Weymouth Train arrives Bournemouth Train leaves Bournemouth (Mandy comes home) Train arrives Weymouth Mandy arrives home (Total 5 marks) Q21. Work out £1.70 × 5 Page 17 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com £.................................. (Total 1 mark) Q22. Work out (i) 3×3–5.................................... (ii) 20 ÷ (12 – 2).................................... (iii) 7+8÷4.................................... (Total 3 marks) Q23. Use a calculator to work out + 8.4..................................... (Total 2 marks) Page 18 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Q24. Complete this bill. Michael’s Cycle Repairs Description Number Cost of each item Total Brake blocks 4 £4.12 £16.48 Brake cables 2 £5.68 £…………… Pedals 2 £…………………. £45.98 £……………. Labour charge hours at £12.00 an hour Total £……………. (Total 4 marks) Q25. (a) Work out 2 × (11 + 9).......................... (1) (b) Work out 3×5+4 Page 19 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com.......................... (1) (c) Work out 20 – 5 × 3.......................... (1) (Total 3 marks) Q26. Cinema tickets Adult ticket: £8.65 Child ticket: £4.90 Senior ticket: £5.85 Tony buys one child ticket and one senior ticket. (a) Work out the total cost. £.................................. (1) Stephanie buys adult tickets only. The total cost is £60.55 (b) How many adult tickets does she buy? Page 20 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com........................ (2) Kamala buys one adult ticket and two child tickets. She pays with a £20 note. (c) How much change should she get? £.................................. (3) (Total 6 marks) Q27. Work out 36 × 24..................................... (Total 3 marks) Page 21 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Q28. (a) Work out 4×5–8..................................... (1) (b) Work out 18 + 2 × 3..................................... (1) (c) Work out (4 + 3) × 7..................................... (1) (Total 3 marks) Q29. Diagram NOT accurately drawn Page 22 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Here is a picture of a stick. The stick is in three parts, A, B and C. The total length of the stick is 30 cm. The length of part A is 16 cm. The length of part B is 9 cm. Work out the length of part C......................................... cm (Total 2 marks) Q30. Item Costs (£) Motor oil 1l 2.50 Wiper blades 1 8.75 Brake Pads 1 14.85 Antifreeze 1l 3.99 Hydraulic Fluid 1l 5.99 Spark Plugs 1.75 Mr Smith had his car serviced. He had to pay for a 15 000 mile service, 3 litres of oil and 4 spark plugs. Complete his bill, and work out the total amount to pay. Page 23 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (Total 6 marks) Q31. Susie has one pound and sixty pence. Her friend, Katie, has two pounds and five pence. They want to buy a pizza between them. The pizza costs £3.50 How much money will they have left? Show your working here. Page 24 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (Total 2 marks) Q32. Simon is a salesman. He gets paid expenses of 40p for every mile that he drives during work. He also gets £12 expenses as a meal allowance for any day that he drives during work. The table gives information about the number of miles Simon drove on 5 days in one week. Day Number of miles Monday 48 Tuesday 37 Page 25 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Wednesday 0 Thursday 78 Friday 21 (a) Work out Simon’s total expenses. £..................................... (4) Sasha works for the same company. She gets paid expenses of 40p for each mile she drives during work. Last year she worked for 48 weeks. Her total expenses for driving for the year were £2116.80 Page 26 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) Work out an estimate for the average number of miles Sasha drove during work each week last year...................................... (3) (Total 7 marks) Q33. Parul has £1.70 She wants to buy a drink and something to eat. (a) What are the different combinations she can buy? Page 27 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com..................................... (2) Ken buys 2 double burgers with cheese, 1 large fries and 1 large cola. He pays with a £10 note. (b) He gets the best price. What change should he get? Page 28 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com £..................................... (3) (Total 5 marks) Q34. Chris owns a clothes shop. He bought 50 shirts at £12 for each shirt. He chose the selling price of each shirt so that he would make a profit of 30% on each shirt. He sold 20 shirts at this price. Chris then reduced the selling price of each shirt by 15%. He then sold the remaining shirts at this reduced selling price. Page 29 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Has Chris made a profit or loss? You must explain your answer clearly. (Total 8 marks) Page 30 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com M1. Answer Mark Additional Guidance explanation 1 B1 for explanation with Bidmas e.g. Brackets needed (15 – 3) or Answer should be 9 Note: brackets needed is insufficient Total for Question: 1 mark M2. Working Answer Mark Additional Guidance 28.80 ÷ 30 = 0.96 96p or £0.96 3 M1 for 28.80 ÷ 30 or valid partitioning method, allow one arithmetic error A1 for sight of 0.96 or 96 B1 ft for their cost of one litre correctly written as money Total for Question: 3 marks M3. Working Answer Mark Additional Guidance (a) –5, –1, 0, 3, 8 1 B1 for –5, –1, 0, 3, 8 cao Page 31 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) 7 + 15 22 1 B1 for 22 cao Total for Question: 2 marks M4. Working Answer Mark Additional Guidance 1.99 + 1.99 = 3.98 1.02 2 M1 for 2 × 1.99 or for 5 – 2 – 2 5 – 3.98 = A1 for 102(p) or for £1.02 SC B1 for £1.2 or £1.2p Total for Question: 2 marks M5. Working Answer Mark Additional Guidance 34 –15 + 17 36 2 M1 34 –15 + 17 or 34 + 2 or 34 + 17 – 15 oe or sight of 19 or 51 A1 cao (accept if 36p seen) B1 SC for 2 seen as their answer Total for Question: 2 marks Page 32 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com M6. Working Answer Mark Additional Guidance (i) 720 2 × 7200 M1 for × 7200 oe A1 (accept 720.00 or 720.0) (ii) 7200 – 720 6480 1 B1 ft from (i) for 7200 – ‘720’ Total for Question: 3 marks M7. Answer Mark Additional Guidance (a) Edinburgh 1 B1 for Edinburgh or –7 (b) 5 1 B1 cao (c) Leeds 1 B1 for Leeds or –6 to 3 or 9 or –9 Total for Question: 3 marks M8. Answer Mark Additional Guidance (a) 207 2 M1 for a valid method (condone one error) or sight of 7 (as units) in working or answer Page 33 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com OR '193 + 7' + 200 or '193 + 200' + 7 A1 cao (b) –5 1 B1 cao (c) –15 1 B1 cao (d) 6 1 B1 cao Total for Question: 5 marks M9. Answer Mark Additional Guidance (a) –1 1 B1 cao (b) 14 2 M1 for 5 – –9 or – 9 – 5 A1 for 14 or –14 (c) No + reason 2 M1 for attempt to find middle of –7 and 3 eg, may see –7 and 3 on number line or (–7 –3) ÷ 2 or (–3 –7) ÷ 2 A1 for ‘No’ and correct reason Total for Question: 5 marks M10. Working Answer Mark Additional Guidance Page 34 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com 8208 3 M1 for a complete method with relative place value correct. Condone 1 multiplication error, addition not necessary. M1 (dep) for addition of all the appropriate elements of the calculation. A1 cao M1 for a complete grid with not more than 1 multiplication error, addition not necessary (inside numbers) M1 (dep) for addition of all the appropriate elements of the calculation (eg outside numbers) A1 cao M1 for sight of a complete partitioning method, condone 1 multiplication error, addition not necessary. 300 40 2 M1 (dep) for addition of all the appropriate 6000 800 40 20 elements of the calculation. 1200 160 8 4 A1 cao 6000 + 800 + 40 + 1200 + 160 + 8 = 8208 Total for Question: 3 marks M11. Working Answer Mark Additional Guidance Zparts: 150 is 15 boxes; Zparts £525 5 M1 for 15 × £35 (= £525) 15 × £35 = £525 CompParts £548 CompParts: 150 ÷ 11 is 13.6 so 13 so M1 for attempt to account for 1 offers (150 – 13) × £4 = 137 × 4 = Zparts cheaper free £548 (eg ÷ 11 or listing with 10 OR charged and one not) 13 × 11 = 143; 150 – 143 = 7 extra M1 for ×4 (may be shown as (13 × 10 + 7) = 137; 137 × 4 = £548 ×40) OR 150 × 4 = £600 A1 for totals of £548 and £525 13 offers so 13 free: 13 × 4 = 52; OR unit costs of £3.64/£3.63 600 – 52 = £548 and £3.50 (oe) Page 35 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com C1 (dep on at least M1) for making comparison figures clear and giving correct deduction. Total for Question: 5 marks M12. Working Answer Mark Additional Guidance Ticket sales: 16 × 100 = £1600 No. 4 M1 for addition of 230, 150, 30 (or + 410) (= 422 or 800) Meals: 12 × 100 = 1200 £1610 M1 for 12 × 100 (= 1200) Fixed costs: >£1600 A1 for £1610 total costs or £16.10 230 + 150 + 30 = 410; 410 + 1200 ticket price needed. = 1610 £410 C1 (dep on at least M1) for correct or 1600 – 230 – 150 – 30 = 1190; >£400 comparison and statement that 1190 – 1200 = –10 “£1610” > ”£1600” and that costs will not be covered. Total 410 + 1200 = £1610 (< £1600) OR OR M1 for subtraction of 230, 150, 30 £1610 ÷ 100 = £16.10 ticket price (or – 410) (> £16) M1 for 12 × 100 (= 1200) OR A1 for £400 left or – £10 £1600 – 410 – 1200 = – £10 C1 (dep on at least M1) for correct (or £10 needed) comparison and statement that OR “£410” > ”£400” and that costs will £1600 – 1200 = £400 (< £410 costs) not be covered. Total for Question: 4 marks M13. Page 36 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Working Answer Mark Additional Guidance FE Days 3rd Apr to 30th Jun is £210.36 6 M1 for attempt to find the number of 28 + 31 + 30 = 89 days days Cost of days M1 for standing charge = “89” × =”89” × 15.07p = £13.41 15.07p Units used 10625 – 8963 M1 for attempt to find the number of = 1662 units used Cost of units = 1662 × 11.85 M1 for attempt to find cost of units = £196.95 “1662” × 11.85p 196.95 + 13.41 A1 for standing charge = “13.41” or unit cost = £196.95 A1 for £210.36 cao Total for Question: 6 marks M14. Working Answer Mark Additional Guidance (a) 64 × 75m = 4800m 4.8 km 3 M1 for 64 × 75 4800 ÷ 1000 M1 for “64 × 75” ÷ 1000 A1 cao (b) Vol = 25 × 10 × 2.5= 625m³ 625 000 3 M1 for attempt at finding the volume 625 × 1000 M1 for attempt to find the number of l in 1m³ or 1m³ = 1000l A1 cao Total for Question: 6 marks Page 37 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com M15. Working Answer Mark Additional Guidance QWC 10 × £5.99 = £59.90 £49.30 profit 5 M1 for attempt to find original cost of (i, ii, iii) water 10 × 120 – 80 = 40 FE M1 for attempt to find cost of sale of 80 × £0.99 = £79.20 first 80 bottles 40 × £0.75 = £30 M1 for attempt to find number of remaining bottles 10 × 12 – 80 oe £79.20 + £30 – £59.90 M1 for attempt to find cost of cost of sale of remaining bottles A1 cao QWC: Decision must be stated with clear working attributed correctly OR OR M1 for 5.99 ÷ 12 = approx 50p 5.99 ÷ 12 = 50p (approx) M1 for attempt to find profit on sale of first 80 bottles 10 × 12 – 80 = 40 M1 for attempt to find number of 80 × (“99 – 50”)= £39.20 remaining bottles 40 × (“75 – 50”) = £10 M1 for attempt to find profit on sale of remaining bottles A1 cao QWC: Decision must be stated with clear working attributed correctly Total for Question: 5 marks M16. Page 38 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Working Answer Mark Additional Guidance (3 + 2) × 48 = 240 215 3 M1 for attempt to find total number of bags of crisps 240 – 35 M1 for attempt to subtract 25 A1 cao 3 Total for Question: 3 marks M17. Working Answer Mark Additional Guidance FE (a) 200 bags = 40 × 5, 80 × 2 + 40 × 1 4 B1 for at least 2 alternative ways cost = £0.85 × 5 = £4.25 is the least of getting 200 bags expensive or 80 × 2 + 40 × 1, M1 for a correct process to work cost = £1.65 × 2 + £0.85 out the cost of 1 way = £3.30 + £0.85 = £4.15 A1 for the 3 correct total costs or 160 × 1 + 40 × 1, cost = £3.40 + £0.85 = £4.25 C1 for justification that 80 × 2 + 40 × 1 is the least expensive, therefore giving Tommy the greatest change OR OR M1 for comparing the cost of 2 Using the 80 bag packet is 40 bag packets with 1 80 bag least expensive since: packet or 2 80 bag packets with 1 1600 bag £1.65 < £0.85 × 2 (£1.70) and packet £1.65× 2 = £3.30 < £3.40 A1 for correct arithmetic giving Therefore 2 80 bag packets + accurate costs 1 40 bag packet will be needed to get the least C1 for justification that using 80 expensive total cost. bag packets gives thy least expensive way B1 for 80 bags × 2 + 40 bag × 1 Page 39 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) 57 + 48 × 2 – 125 = Not room for 3 M1 for 57 + 48 × 2 – 125 oe 153 – 125 = 28 pkts on shelf the full carton M1 for 72 – “57 + 48 × 2 – 125 “ 72 – 28 = 44 pkts on shelf at = 44 end of day C1 for justification for opening another carton or not OR OR 57 + 48 + 48 = 105 + 48 = 153 M1 for a correct process that includes the removing of 125 153 – 125 = 28 pkts on shelf pkts 72 – 28 = 44 pkts on shelf at M1 for calculation leading to the end of day number of spaces remaining at the end of the day OR C1 for justification for opening When there are 72 – 48 = 24 another carton or not pkts on shelf, a carton can opened. After selling 57 – 24 = 33, 1st carton of 48 is opened to fill the shelf to 72. After selling a further 48, 2nd carton of 48 added. 33 + 48 = 81 pkts sold. 125 – 81 = 44 pkts on shelf at end of day Total for Question: 7 marks M18. Working Answer Mark Additional Guidance (a) −11 + 8 OR use a number line and −3°C 1 B1 cao count back Eg: –11 –10 –9 –8 –7 –6 –4 Page 40 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com –3 –2 –1 0 1 Count 8 places Page 41 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) 2°C 2 Page 42 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Total for Question: 3 marks M19. Working Answer Mark Additional Guidance (a) Lunar Jim 1 B1 cao (b) 20 15 – 19 40 = 20 + 15 35 1 B1 cao (c) 20 30 + 45 = 21 00 + 15 21 15 1 B1 cao Total for Question: 3 marks M20. Working Answer Mark Additional Guidance FE e.g. 0903 – 25 minutes e.g. 5 B1 for a correct time 25 minutes (or more) before = 0838 0838 the train departs e.g. 0838, 0938... or earlier 0903 0903 0953 0953 B1 for a correct departure time, e.g. 0903, 1003... 0953 + 3 hours = 1253 1300 with the associated correct arrival time 0953, 1300 1355 1053... 1355 1420 1355 + 25 minutes = B1 for a correct departure time (3 hours after 1420 arrival) e.g. 1300, 1400... B1 for a correct arrival time corresponding to the departure time, e.g. 1355, 1455... B1 for a correct arrival time at home, e.g. 1420, 1520... Page 43 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Total for Question: 5 marks M21. Working Answer Mark Additional Guidance £1.70 × 5 8.50 1 B1 for 8.50 or £8.50p, but NOT for 8.5 or 8.05 Total for Question: 1 mark M22. Working Answer Mark Additional Guidance (i) 9–5 4 3 B1 for 4 cao (ii) 20 ÷ 10 2 B1 for 2 cao (iii) 7+2 9 B1 for 9 cao Total for Question: 3 marks M23. Page 44 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Working Answer Mark Additional Guidance 1.6 + 8.4 10 2 B2 for 10 (B1 for sight of 1.6) Total for Question: 2 marks M24. Answer Mark Additional Guidance 11.36 4 B1 cao 22.99 B1 cao 18.00 B1 cao (allow 18) 91.82 B1 for 91.82 or f.t. from adding at least 3 item totals (62.46 + “11.36” + “ 18.00”) Total for Question: 4 marks M25. Answer Mark Additional Guidance (a) 40 1 B1 cao (b) 19 1 B1 cao (c) 5 1 B1 cao Total for Question: 3 marks Page 45 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com M26. Working Answer Mark Additional Guidance (a) 5.85 + 4.90 10.75 1 B1 for 10.75 cao (b) 60.55 ÷ 8.65 7 2 M1 for 60.55 ÷ 8.65 or 8.65 × 7 = 60.55 or for at least 4 repeated additions or subtractions of 8.65 A1 for 7 cao (c) 8.65 + (4.90 + 4.90) 1.55 3 M1 for 8.65 + (4.90 + 4.90) 20 – 18.45 M1 (dep) for 20 – ‘18.45’ A1 for 1.55 cao SC: award B1 for sight of 18.45 or 6.45 or 10.20 award B2 for 155 Total for Question: 6 marks M27. Working Answer Mark Additional Guidance 20 × 36 = 720 864 3 M1 for a complete method with relative 4 × 36 = 144 place value correct. Condone 1 multiplication error, addition not necessary. 30 6 M1 (dep) for addition of the 20 600 120 720 appropriate elements of the 4 120 24 144 calculation. 720 144 Page 46 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com [Note: Repeated addition of 24 lots of 36 (36 lots of 24) gets M1 only] A1 cao Total for Question: 3 marks M28. Answer Mark Additional Guidance (a) 12 1 B1 cao (b) 24 1 B1 cao (c) 49 1 B1 cao Total for Question: 3 marks M29. Working Answer Mark Additional Guidance 30 – (16 + 9) 5 2 M1 30 – “(16 + 9)” or “30 – 16” – 9 or “30 – 9” – 16 A1 cao Total for Question: 2 marks Page 47 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com M30. Working Answer Mark Additional Guidance FE 3 × 2.5 = 7.50 105.75 6 B1 3 and 7.50 4 × 1.75 = 7 75.50 + 7.50 + 7 = 90 B1 4 and 7 9 + 4.5 + 2.25 = 15.75 B1 90 ft M1 9 + 4.5 + 2.25 seen A1 15.75 A1 cao Total for Question: 6 marks M31. Working Answer Mark Additional Guidance 1.60 + 2.05 = 3.65 15p 2 B1 £3.65 oe B1 15p Total for Question: 2 marks Page 48 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com M32. Working Answer Mark Additional Guidance FE (a) 48 + 37 + 78 + 21 = 184 £121.60 4 M1 find the total miles 184 × 40 = 7360 M1 total miles × 40 or × 0.4(0) 4 × 12 = 48 M1 mileage expenses + 4 × 12 or + 5 × 12 73.60 + 48 A1 cao (b) 2000 ÷ 50 = 40 100 3 M1 for sight of 2000 , or 50, or 20000 4000 ÷ 40 = 100 M1 dep for an attempt to find cost per week or mileage per year OR A1 100 2000 ÷ 0.4 = 50000 OR 50000 – 50 = 100 M1 sight of 2000, or 50 OR M1 dep 0.4 × 50 and 2000 ÷ ’20’ 0.4 × 50 = 20 A1 100 2000 ÷ 20 = 100 Total for Question: 7 marks M33. Working Answer Mark Additional Guidance FE (a) 2 correct 2 B1 Single burger and regular cola combinations oe B1 Regular fries and regular cola oe –1 for each extra incorrect Page 49 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com (b) Best is Cost £4.81 3 M1 2 correct individual costs found 3.49 + 1.70 = 5.19 Change = 10.00 – 5.19 M1 sum and subtract from £10 A1 cao SC B2 5.24 (B1 2 × 1.70 + 0.99 + 0.85 = (5.24)) Total for Question: 5 marks M34. Working Answer Mark Additional Guidance QWC 50 shirts at £12 each = £600 Yes, together 8 B1 for price of 50 shirts with i, ii, Selling Price for profit of 30% appropriately M1 for £12 × 1.3 = £12 × 1.3 = £15.60 set out iii 20 shirts at £15.60 = £312 working which A1 for £15.60 supports Reduced selling price answer A1 for 20 shirts = £312 = £15.60 × 0.85 = £13.26 30 shirts at £13.26 = £397.80 M1 for £15.60 × 0.85 £397.80 + £312 > £600 A1 for £13.26 A1 for 30 shirts = £397.80 C1 Yes stated together with a statement which supports the correct answer QWC: With clear working attributed correctly Total for Question: 8 marks Page 50 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Page 51 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com E1. This question was not very well understood as many candidates were happy that the incorrect answer was, in fact, correct. Only 56% of candidates were able to correctly give a correct reason as to how 24 was in fact obtained or how to correctly calculate 15 – 3 × 2 as 9. Some candidates indicated that brackets were needed but gave no indication as to their placement to make a true statement. E2. Many candidates made a good attempt at this question, and arrived at the digits 96 from calculation. There was then some confusion with money notation, with answers of £96 and 0.96p showing some misunderstanding. E3. Part (a) was almost always correct but in part (b) the correct answer of 22 was rarely seen whilst the modal incorrect answer of 50 was seen frequently. E4. Almost all candidates obtained full marks in this question. Very few candidates obtained no marks. E5. This question was well understood with 88% of candidates scoring full marks. A further 8% of candidates scored 1 mark either for showing a complete method or for sight Page 52 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com of 19 or 51. Many candidates took away both 15 and 17 and got an answer of 2. They were awarded one mark for a misread of taking 15 and 17 away from 34. E6. Working out 10% of £7200 in part (a) led to £720 in many cases. However, it is important to stress the importance of reading the question carefully as it was not unusual to see the amount given as £6480 as the answer to part (a) … this being the answer to the second part of the question. £72 as the answer also appeared representing 1% of the sum rather than the required 10%. A follow through in part (b) allowed for an earlier error in the calculation not to be penalised twice. Just under 20% failed to score on this question and around 50% scored all 3 marks. Many candidates wrote the same answer in both parts, generally £720 or £6480 E7. This question was done well by the vast majority of candidates. Common errors in part (b) were –5 and –7. Common errors in part (c) were Edinburgh and London. E8. Many candidates were able to score at least one mark for part (a) of this question. This was usually for obtaining a 7 in the unit column of their answer. A significant number of candidates were unable to obtain the correct answer. Common incorrect answers here were 217, 117 and 393. In part (b), many candidates were able to take 9 from 4 to get –5. A very common incorrect answer here was 5. Part (c) was done well by most candidates. Common incorrect answers here were 15 and 2. Part (d) was done well by the majority of candidates It was rare to see this calculation set out as a long division- many just simply wrote down the answer. Common incorrect answers here were 60 and 250. Page 53 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com ## It is always surprising how few candidates draw a number line to assist them in completing questions on temperature. Those who do are more successful at answering the questions. There were many correct answers in (a), but errors included those who did 8-9, those who miscounted (presumably in their head) and those who counted the wrong way. In part (b) some did the difference with the 10 am temperature, and as in the first part errors of miscounting and counting the wrong way. Most gave an explanation in part (c), and the marks were awarded on the basis of how detailed their explanation was. Many wrong answers were as a result of incorrect calculation. But many who gained the 2 marks did so by a surprising variety of answers. These included correct calculation (-2°C), use of a number line to demonstrate (in)correct numbers, and comparison of differencing (-7 to -1 is 6° but -1 to 3 is 4° so not halved). Candidates seemed to thrive on the possibility of choosing their own explanation from the data. ## It was encouraging to see many successful attempts at this question, even from those whose arithmetic throughout the rest of the paper was poor. Partitioning methods were popular, but often contained errors caused by extra zeros. Other typical errors were 20 × 30 = 5000 instead of 6000, and 40 × 4 = 120 or 80. Grid methods were also popular, but here it was usually poor totalling that let candidates down. Repeated addition was usually unsuccessful. ## Working in this question was frequently disorganised. A significant number started badly because they multiplied 35 by 150 rather than 15. The greatest problem was that candidates seemed to have no idea how to allow for the free stick for every ten bought; most candidates ignored this and found the cost of 150 at £4. Others decided that if buying 150 sticks then 15 of these would be free, so they found the cost of 135. To gain the final mark for the comparison examiners had to be sure which two numbers were being compared by the candidate; in many cases this was not clear. ## It was encouraging to see many attempts at this question, which usually started with the addition of three of the costs. Misreading of the question resulted in many adding in the food cost as a single item, without multiplying out to give 1200 first. As a result 1600 was usually compared with 422 rather than 1600 with 1612. This final mark was a QWC mark for written communication: candidates had to compare their two figures and come to a stated conclusion. Those who did so with clarity gained the mark, even if the two figures they were comparing were wrong, though the two figures needed to be clearly stated. Page 54 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com Figures merely given without a comparative statement failed to gain the mark. The most significant weakness in this question was the inability of many candidates to multiply by 100 efficiently. Many times were grid methods seen, or long lists of repeated addition, both of these usually with errors. E21. The purpose of this question was to assess the candidate’s ability to interpret a calculator answer (8.5) in the context of money notation. Most earned the mark, with 8.5 and 8.05 being given as the most common incorrect answers. E22. It was not surprising that part (i) was answered with the most success. In part (ii) about three quarters of candidates were successful. The two most common incorrect answers were 0.5, from 10 ÷ 20, and 10, from 20 – 10. Part (iii) was answered less well with only one third of candidates carrying out the two operations in the correct order. Most incorrect answers resulted from candidates doing the addition first and then attempting to divide 15 by 4. E23. Although the correct answer of 10 was often seen (in 54% of the cases), there were many who just wrote 10.96 (the sum of 2.56 and 8.4) or 3.31 (the square root of 10.96). Others wrote 14.9536 (= 2.562 + 8.4). E24. This was generally well done with around two thirds of the candidates scoring all 4 marks, although all the working around the edges of the table did suggest that many candidates did not have access to a calculator. A common incorrect response for the cost of one brake pedal was £22.49. Quite a few candidates were confused by the labour Page 55 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com charge, either leaving it out altogether or not adding it into their total. Fortunately, the final total was a follow through mark so most candidates scored here. E25. This question differentiated well between candidates with the great majority achieving the marks in parts (a) and (b). Some candidates put their own brackets in part (b) and gave the answer 27. Only a third of candidates were able to give the correct answer to part (c). 45 was a more commonly seen answer here. E26. Specification A Most candidates gained full marks on this question. Where they did not it was usually due to misunderstanding or misreading of the question or simple mathematical errors. In (b) it was not uncommon to see the answers embedded in working, or shown as seven £8.65s added up in working without the answers “7” on the answer line. Examples of errors in (c) include calculations for 1 adult and 1 child, or incorrect/missing subtraction of £18.45 from £20 in part (c). Specification B Adding £4.90 and £5.85 together by first selecting the information from the table gave little cause for concern, especially on this calculator paper with over 90% getting this correct. The most common error was to add together all three amounts with some going wrong by adding together the incorrect two amounts. Some struggled to formulate a method in part (b) to determine how many adult tickets were bought. On a calculator paper evaluating 60.55 ÷ 8.65 should have been a relatively easy task. In part (c) writing down the method is good practice, as this allows for the award of method marks, although, in some instances, it was not that clear as to how the answer had been achieved. Many did not write £20 – their total and so often could not be awarded the second method mark when their answer was incorrect. Candidates need to be aware that even though we may suspect the method is correct, we cannot guess what they have done. Eg seeing £18.45 and then having an answer of £2.55 would not score the second method mark even though we suspect the candidate has done £20 – £18.45 It was pleasing to note that over ¾ of the candidates scored all 5 marks in the last two parts. Page 56 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com E27. Specification A This long multiplication question was pleasingly well done with very many candidates gaining some marks; often 2 or 3. Those candidates using ‘traditional’ long multiplication methods were usually successful although simple arithmetic error or place value error was not uncommon. Many candidates chose a ‘multiplication table’ method, often getting just one cell incorrect, for example 20 × 30 = 60 or 6000 or 500. The ‘Napier bones’ method was also seen and was often successful when the structure of the table was correct. A common incorrect answer seen, gaining no marks, was 624 (20 × 30 + 6 × 4). There were significantly fewer candidates attempting repeated addition this year. Specification B This question was not done well. About half the candidates were unable to show sufficient understanding of place value in the multiplication of two numbers to score any of the marks. A very common incorrect answer here was 36 × 24 = 30 × 20 + 6 × 4 = 624. Many of those candidates using a tabular method (which was perhaps the most successful of the methods used) made errors in their calculations, such as 30 × 20 = 500 and 6 × 3 = 16. E28. Answers to part (a) were usually correct. In part (b), many ignored the order of operations (BODMAS) and simply worked from left to right to give an incorrect answer of 60. In part (c), many candidates were unable to correctly compute 7 × 7; answers of 42 and 56 were common. Page 57 Edexcel Maths GCSE - Decimals (F) 1 PhysicsAndMathsTutor.com E29. Specification A Most candidates were able to score full marks on this question, many without showing any working. Failure to achieve full marks was usually a result of arithmetic error. 16 + 9 = 24 and 30 – 25 = 15 and also 30 – 25 = 4 were common errors. Some candidates failed to subtract, giving their sum of A and B as the answer and some gave the answer 3.2 from actually measuring part C of the diagram. Specification B This question was done well by most candidates. Common errors include: incorrectly adding the 16 and the 9 to get 24 and subtracting this correctly from 30 to get 6; incorrectly subtracting 25 from 30 to get 15; measuring the length of part C; subtracting 9 from 16 (only) to get 7. Page 58