Functional Skills Certificate FUNCTIONAL MATHEMATICS

Transcription

1 Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature Functional Skills Certificate FUNCTIONAL MATHEMATICS Level 1 Friday 13 November 2015 Morning Time allowed: 1 hour 30 minutes Materials For this paper you must have: mathematical instruments a copy of the data book (examination) (enclosed). You may use a calculator. Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Answer all questions. You must answer the questions in the spaces provided. around each page or on blank pages. Do all rough work in this book. Cross through any work you do not want to be marked. State the units of your answer where appropriate. Information The marks for questions are shown in brackets. The maximum mark for this paper is 60. You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book. Evidence of checking is specifically assessed in Questions 2(b) and 3(c). These questions are indicated with a. Advice In all calculations, show clearly how you work out your answer. (NOV ) /E QAN 500/8703/4

2 2 Answer all questions in the spaces provided. 1 Athletics There is a data sheet for Athletics. 1 (a) Joe is training these girls for a 4 by 100 m relay team. Amy Beth Carmen Dita Eve Fay He decides to try three possible teams. He wants Beth and Fay to be in Team 1 Amy to be in Team 2 and Team 3 each girl to be in exactly two teams. Work out three possible teams for Joe to try. Write your answer on the grid opposite. [4 marks] (02)

3 3 Practise on this grid. Girls Team 1 Team 2 Team 3 Put your answer on this grid. Girls Team 1 Team 2 Team 3 Turn over for the next question Turn over (03)

4 4 1 (b) Kelly is training for the heptathlon. Here are her best performances in each event. Event Best Performance Points 100 m hurdles seconds m seconds m 2 minutes 42 seconds 550 Long jump 5.19 metres 612 High jump 1.53 metres 655 Shot metres 884 Javelin metres 887 Points total 4912 After training her best time for the 200 m is 0.13 seconds less her best distance for the long jump is 0.2 metres more. She says, The points total for my best performances is now over 5000 Is she correct? You must show your working. [6 marks] (04)

5 5 1 (c) 100 athletes are going to a meeting. Steve looks at the cost of hiring buses. Size of bus Maximum number of passengers Cost Large Small Work out the lowest possible cost. Write down the number of each size of bus he needs. You must show your working. [4 marks] Turn over for the next question 14 Turn over (05)

6 6 2 Sweets I make sweets and sell them. Lisa 2 (a) Lisa uses these ingredients to make chocolate mints. To make 60 chocolate mints 500 g dark chocolate 350 g icing sugar 200 g cream cheese 15 ml mint flavouring Circle the amount of icing sugar she needs to make 240 chocolate mints. [1 mark] 350 g 700 g 800 g 1400 g (06)

7 7 2 (b) Lisa makes 240 chocolate mints. She puts each chocolate mint in a sweet case. She sees this advert. Sweet cases Pack of Work out the cost of 240 sweet cases. [3 marks] Check your answer. Show how you have done your check. [1 mark] Turn over (07)

8 8 2 (c) Lisa packs the sweets into es. The base of each is a 180 mm by 135 mm rectangle. Each sweet needs a space 40 mm long and 40 mm wide. Lisa packs a single layer of sweets into each. She says, I can fit 15 sweets in each. Is she correct? You must show your working. You may use the diagram of the base of the to help you. Not drawn accurately 135 mm 180 mm [5 marks] (08)

9 9 2 (d) Lisa works out the costs to make each of sweets. Ingredients Packaging 1.44 per 1.32 per She sells each of sweets for 4.25 She says, I make more than 50% profit on the cost of each of sweets. Is she correct? You must show your working. [5 marks] 15 Turn over (09)

10 10 3 Steam Trains There is a data sheet for Steam Trains. 3 (a) What time does the last train arrive back at Pickering? [1 mark] Mr and Mrs Chan and their three children are planning some days out. (10)

11 11 3 (b) On Monday, the Chan family plan to take a train from Pickering include one of the walks allow at least 30 minutes for a picnic arrive back at Pickering before 17:00 Write a plan for their day out. Include all times in your plan. [6 marks] Turn over (11)

12 12 On Tuesday, the Chan family decide to buy Day Rover tickets. Day Rover ticket prices Adult Child 9.50 Family 2 adults and up to 4 children (c) Work out the total cost of tickets for 3 children. [2 marks] Check your answer. Show how you have done your check. [1 mark] (12)

13 13 3 (d) Mr Chan says, We could buy 2 adult tickets and 3 child tickets. Mrs Chan says, It will be cheaper by more than 25 if we buy a family ticket. Is she correct? You must show your working. [4 marks] Turn over for the next question 14 Turn over (03) (13)

14 14 4 Sheep Farming There is a data sheet for Sheep Farming. I am a sheep farmer. I sell the wool from my sheep. Rob Rob wants to keep sheep in this field. The field is a 600 m by 500 m rectangle. Not drawn accurately 500 m 600 m 4 (a) Rob wants to put a fence around the field. This will cost 2.80 per metre. Work out the total cost. [3 marks] (14)

15 15 4 (b) How many sheep can Rob safely keep in this field? [3 marks] Altogether Rob keeps 1230 sheep on his farm. He wants to sell the wool from all of the sheep. 4 (c) He hires 6 professional shearers. He says, It will take the 6 shearers more than 8 hours to shear all 1230 sheep. Is he correct? You must show your working. [4 marks] Question 4 continues on the next page Turn over (15)

16 16 4 (d) Here are the weights of wool, in kg, from 10 sheep Show that the mean weight of wool from the 10 sheep is 2.5 kg [2 marks] 4 (e) On average Rob gets 2.5 kg of wool from each sheep. He sells the wool from all 1230 sheep for 4.20 per kg He uses the money he gets from selling the wool to pay the shearers. He pays the shearers 1.90 for shearing each sheep. He says, I should have more than left. Is he correct? You must show your working. [5 marks] END OF QUESTIONS 17 (16)

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20 20 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Copyright information For confidentiality purposes, from the November 2015 examination series, acknowledgements of third party copyright material will be published in a separate booklet rather than including them on the examination paper or support materials. This booklet is published after each examination series and is available for free download from after the live examination series. Permission to reproduce all copyright material has been applied for. In some cases, efforts to contact copyright-holders may have been unsuccessful and AQA will be happy to rectify any omissions of acknowledgements. If you have any queries please contact the Copyright Team, AQA, Stag Hill House, Guildford, GU2 7XJ. Copyright 2015 AQA and its licensors. All rights reserved. (20)