Apprenticeships TEAM LEADING EAM LEADING Functional Skills Level 1 MATHEMATICS
Published by Pearson Education Limited, a company incorporated in England and Wales, having its registered office at Edinburgh Gate, Harlow, Essex, CM20 2JE. Registered company number: 872828 www.pearsonschoolsandfecolleges.co.uk Designed by AM Design Typeset by Tek-Art, Crawley Down, West Sussex Illustrated by Pearson Education Limited Cover design by Zannah Hawdon, Motif First published 2011 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library. Copyright notice All rights reserved. No part of this publication may be reproduced in any form or by any means (including photocopying or storing it in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright owner, except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency, Saffron House, 6 10 Kirby Street, London EC1N 8TS (www.cla.co.uk). Applications for the copyright owner s written permission should be addressed to the publisher. Acknowledgements The publisher would like to thank the following for their kind permission to reproduce their photographs: Alamy Images: John Anthony Rizzo/Uppercut Images 1; Worksheet images: Pearson Education Ltd: Gareth Boden, Lord & Leverett, Gareth Dewer, Jules Selmes, Tudor Photography; klite 93 All other images Pearson Education Picture research by: Susie Prescott Every effort has been made to trace the copyright holders and we apologise in advance for any unintentional omissions. We would be pleased to insert the appropriate acknowledgement in any subsequent edition of this publication. Websites Pearson Education Limited is not responsible for the content of any external internet sites. It is essential for tutors to preview each website before using it in class so as to ensure that the URL is still accurate, relevant and appropriate. We suggest that tutors bookmark useful websites and consider enabling students to access them through the school/college intranet. Disclaimer This material has been published on behalf of Edexcel and offers high-quality support for the delivery of Edexcel qualifications. This does not mean that the material is essential to achieve any Edexcel qualification, nor does it mean that it is the only suitable material available to support any Edexcel qualification. Material from this publication will not be used verbatim in any examination or assessment set by Edexcel. Any resource lists produced by Edexcel shall include this and other appropriate resources. Copies of official specifications for all Edexcel qualifications may be found on the Edexcel website: www.edexcel.com ii
BTEC Apprenticeship Level 2 Team Leading Functional Skills (Level 1) In this section you will find practice functional skills questions for Mathematics. These questions will help you prepare for your functional skills assessment as the types of questions included are similar to the ones you are likely to find in your assessment. The questions are based on scenarios you may encounter in your day-to-day job to make them more relevant to you. 1
LEVEL 1 MATHEMATICS SECTION A: Staff training event Answer all questions in this section. Write your answers in the space provided. 1 Jerry is the manager of a company. He is planning a staff training event at a hotel. The 150 employees were asked what days they would not be available. The table shows this information. Mon Tue Wed Thur Fri Sat Sun Unavailable 38 6 12 5 29 50 126 The training will take place on a day where more than 135 people are available. (a) Could the training take place on Wednesday? Give reasons for your answer. 2 The event will be held on two successive days. (b) List the possible combinations of days when the training could take place. 3 (Total for Question 1 is 5 marks) 2
2 The company will hold three different training meetings. Jerry has to organise these meetings. The table shows the number of people who will be at each meeting. Training meetings A B C Number of people 55 82 35 The hotel has three rooms that can be hired for the meetings. The table shows the cost per hour of hiring each room. Maximum number of people Cost of hiring room per hour Lincoln Room 100 80 Leicester Room 75 60 Lytham Room 50 40 Each meeting will take place in the smallest possible room. (a) Which room will each meeting take place in? 2 Each meeting will last 2 hours. Jerry says that it will cost less than 350 to hire all the rooms for the meeting. (b) Is Jerry correct? You must explain your answer. 4 (Total for Question 2 is 6 marks) 3
3 The three hotel rooms can be booked from 9am to 6pm. (a) For how many hours each day can a hotel room can be booked? 1 The training day will start at 9am finish before 4.30pm have three meetings of 2 hours each have a morning coffee break of 30 minutes have a lunch break of one hour. The three meetings must all be at different times. Jerry needs a plan for the day. The plan must show the start and end time of all meetings and breaks. (b) Make a plan for Jerry. 4 (Total for Question 3 is 5 marks) 4
SECTION A: Leisure centre Answer all questions in this section. Write your answers in the space provided. 4 A leisure centre runs children s swimming lessons. The number of children attending each of these lessons is shown below. No of children attending lessons Sessions Lesson name Monday Wednesday Friday Beginner 2 5 3 Improver 6 10 7 Confident 12 12 8 The leisure centre has rules about the number of children each instructor can teach. The table shows the maximum number of children that each instructor can teach. Beginner Improver Confident 1 instructor to 3 children 1 instructor to 4 children 1 instructor to 8 children (a) How many instructors are needed for each of the three lessons on each of Monday, Wednesday and Friday? 3 5
Some more children want to join the improver classes. (b) How many more children can be placed in the improver lessons without increasing the number of instructors? 2 5 Laura takes her three children to swimming lessons on Monday. Two of her children start in the beginner lesson. One of her children starts in the confident lesson. Cost per lesson Lesson name Cost per lesson Beginner 7 Improver 5.25 Confident 4.50 (Total for Question 4 is 5 marks) Laura s children attend these classes for eight weeks. At the end of the week 3, one child moves from the beginner lesson to the improver lesson. Work out the total cost of the swimming lessons for Laura s children. 4 (Total for Question 5 is 4 marks) 6
6 At the leisure centre, Harriet is the team leader of the personal training section. One of her clients wants to train for a triathlon. A personal trainer has recommended the following weekly training programme. Swim 6 km Cycle 60 km Run 36 km The personal trainer estimates the training times for the three activities: Swim 1 km in 20 minutes Cycle 1 km in 2 minutes Run 1 km in 5 minutes (a) Using the personal trainer s estimates, how many hours will take to complete each activity? 4 The personal trainer says the weekly training programme uses no more than 2600 calories. Activity Calories used per hour Swimming 450 Cycling 300 Running 500 Harriet needs to check that the personal trainer is correct. (b) Use the table to find out if the personal trainer is correct. 3 (Total for Question 6 is 7 marks) 7
SECTION C: Car cleaning company Answer all questions in this section. Write your answers in the space provided. 7 Tomas leads a team of 15 car cleaners. Tomas records the number of hours that his team worked last week. Number of workers Hours worked by each worker 9 16 6 32 (a) Work out the total number of hours worked by all the team last week. 2 The workers are paid the national minimum wage. National minimum wage Age Hourly rate 16 17 3.64 18 20 4.92 21+ 5.93 Tomas records the ages of the workers and the number of hours worked during last week. Age of worker Number of hours worked 17 16 18 64 19 64 21 32 24 64 27 64 30 32 8
(b) Work out the weekly wage bill for the 15 workers. 4 Tomas wants to find out information about when members of his team are available to work at the weekend. He is going to design a data collection sheet. He wants to record the name of the person if they can work on Saturday or Sunday or both if they can work in the morning or afternoon or both. (c) Design a data collection sheet for Tomas. 3 (Total for Question 7 is 9 marks) 9
8 Tomas notices the number of hours worked each week is increasing. He records the number of hours worked for five weeks. Week number 1 2 3 4 5 Number of hours worked 290 275 290 335 336 (a) Draw a graph or chart to represent this information. 3 10
The company will employ extra workers if: The mean number of hours worked per week is greater than 300 hours. (b) Will the company employ extra workers? 4 (Total for Question 8 is 7 marks) TOTAL FOR PAPER IS 48 MARKS 11