Functional Skills Mathematics Level 2 sample assessment

Transcription

1 Functional Skills Mathematics Level 2 sample assessment Sample paper 4 Candidate Name (First, Middle, Last) May 2015 Version 1-3 Total marks Candidate enrolment number DOB (DDMMYYYY) Task Mark Candidate declaration and signature* Assessment date (DDMMYYYY) Centre number Total The actual Level 2 assessment will be 2 hours. There is no imposed time limit for this sample assessment, as it is intended as a teaching/learning tool to help prepare candidates for the actual Level 2 assessment. It is the intention that this sample paper reflects the requirements of a live Level 2 assessment. However, it is recommended that learners are allowed as much time as necessary to complete the whole assessment so that they can experience all three tasks. You should have the following for this assessment: a pen with black or blue ink a 30cm ruler. You may use a calculator. You may use a protractor. You may use a dictionary. General instructions There are 3 tasks to complete. You should spend an equal amount of time on each task. Read through each task carefully. Show your working out. Check your calculations. Remember to put units on your answers. Write all working out and answers in this booklet. There are additional pages at the back of this booklet if you run out of space. *I declare that I had no prior knowledge of the questions in this assessment and that I will not divulge to any person any information about the questions. The City and Guilds of London Institute 2015

2 Sample 4 Task 1 Team building day There are 25 marks available for this task. You should check all your work as you go along. Introduction This task is about organising a team building day at an outdoor activity centre. You need to put employees into two teams, plan activities and work out the cost for the day. Both teams must complete the same activities at the same time and all team members must take part in them. Each employee has a fitness level score. Both teams must have similar combined fitness level scores and include at least one manager. Employee name Gender Employees Employee information Employee department Swimming ability Skills Fitness level score 1 (unfit) - 5 (very fit) Abbie F Sales manager cannot swim 2 Frank M Sales 2 Isaac M Sales 5 Nita F Administration 2 Alvin M Office manager 3 Lora F Administration 5 Pete M Production manager cannot swim 2 Prita F Production 3 Shilen M Production 4 Ash M Design 5

3 Sample 4 Phone message from activity company We ve started to plan your team building day from the information you sent us. The day will run from 9:00am 5:00pm. It will start with a 30-minute introduction from 9:00am 9:30am. It will finish with a discussion and prizes from 4:30pm 5pm. Lunch break is from 1:00pm 2:00pm. Everyone will do Archery straight after lunch. We will send you our leaflet with all the fun activities we offer so you can pick activities to fill up the rest of the day.

4 Sample 4 Activity leaflet Activities Time allowed (minutes) Price band Suitable for non-swimmers Archery range 60 A Yes Assault course Rope swings, walls and bridges 90 A Yes Crate tower building 90 A Yes Fright wall A 30-metre climbing wall Mud flume A downhill ride on a muddy slide Paddle boarding Paddle across the lake standing on paddle boards Power Fan A free fall jump Quad biking On cross country course 90 A Yes 60 A Yes 90 B No 60 C Yes 75 B Yes Raft building 90 B Yes River zip wire Slide down the wire to the beach Wipe out course Water assault course 45 A Yes 45 C No Zorbing Race in a bubble 75 C Yes Price per person per activity Price band A 7.95 Price band B 9.67 Price band C ***15% discount when booking a whole day for more than 8 people***

5 Sample 4 1A You need to work out the two teams, the activities and the costs. Plan how to solve this task. Write down your plan, including the steps you will use. (3 marks)

6 Sample 4 1B Carry put your plan to work out the teams, activities and costs. Show your working. You should check your work as you go along. Write down one of your calculation checks. Check (11 marks + 2 check marks)

7 Sample 4 1C Make a notice for the noticeboard with a list of the teams and a timetable of all the day s activities. 1D Give one reason why you chose your combination of activities. (5 marks) Reason (1 mark)

8 Sample 4 1E You need to review how well you did the task. Think about how your plan and methods worked how sensible your answers were anything you found difficult any other information that you would have liked things you might do differently if you had to tackle a similar problem Explain three of the most important points. (3 marks)

9 Sample 4 Task 2 Food vans There are 25 marks available for this task. You should check all your work as you go along. Introduction This task is about organising a food zone for a music festival at a new venue. You need to plan the space for the food zone. The food zone will have vans that sell food and a seating section. 2A Here is a sketch of the planned food zone and an access road. It is not drawn to scale. Key Space 4m wide for food vans Seating section 46m Road 3m wide 10m 12m 28m Draw a scale diagram to show the outline of the food zone the road the space for the food vans the seating section. Label your diagram and show your scale. Use the graph paper on the next page. Space for working (9 marks)

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11 Sample 4 2B You need to show a check of how you used your scale in 2A. Explain how you know one of the lines on your diagram is the correct scaled length. Write your check here 2C Food vans will go along the side of the food zone in spaces called pitches. Each pitch needs to be longer than a food van as shown in the diagram. Not to scale (2 marks) 23 feet 9 inches Food van Food van Length of pitch You need to work out the length of a pitch. Use this formula to work out the minimum length of a pitch. Round your answer up to the next whole metre to give the length to use for a pitch Where P = minimum length of pitch in metres L = length of food van in inches 1 foot = 12 inches

12 Sample 4 Show your working Minimum length of pitch Rounded length to use for pitch (6 marks)

13 Sample 4 2D You need to work out the maximum number of pitches that will fit along the longest side of the seating section. Show your working Number of pitches (3 marks) 2E The organisers claim that the area of the seating section at the new venue is over 50% larger than the seating section at the old venue. The seating section at the old venue was 250m 2. Work out the area of the seating section at the new venue. Compare the seating sections at the two venues. State whether the organisers claim is true. Explain your decision. Show your working Area of seating section at the new venue m 2 Is the organisers claim true? Yes No Explanation (5 marks)

14 Sample 4 Task 3 New soap There are 25 marks available for this task. You should check all your work as you go along. Introduction This task is about the testing and the promotion of a new liquid soap. You work for a company that wants to introduce a new brand of soap. You carry out a customer survey. You ask volunteers to try the soap and then answer a questionnaire. 3A The questionnaire asks volunteers to rate the soap on a scale of 1(not at all) to 10 (very much). Questionnaire ratings for the new soap Volunteer How much do you like the design of bottle? How much do you like the fragrance (smell)? How clean do your hands feel afterwards? A B C D E F G H I J K L M N O P Q R 5 6 7

15 Sample 4 Work out a suitable average for the scores of the new soap for design of bottle fragrance hands feel clean afterwards. Explain why the average you used is the most suitable. Tick the average you will use Mean Median Mode Show your working Design of bottle Fragrance Hands feel clean afterwards Explanation of your choice of average (5 marks)

16 Sample 4 3B Draw a suitable chart to compare the average rating scores for the new soap for design of bottle fragrance hands feel clean afterwards. (5 marks)

17 Sample 4 3C Find the range in rating scores for the new soap for design of bottle fragrance hands feel clean afterwards. Show your working Design of bottle Fragrance Hands feel clean afterwards 3D Choose one of your calculations in 3C to show a check. Check it by a different method to the one you used originally. Write your check here. (3 marks) 3E What does the survey show about the volunteers opinions of the fragrance? Make one comment using the average and one comment using the range. Comment using the average (2 marks) Comment using the range (2 marks)

18 Sample 4 3F Your company uses money-off vouchers to promote new products. Your manager needs to make decisions about how to spend the advertising budget for moneyoff vouchers for the new soap. The marketing department gives you this chart showing how many vouchers customers used in previous promotions Number of vouchers used in the last eight promotions Number of vouchers used Paper vouchers Online vouchers Promotion The graph shows the number of vouchers used in the last eight promotions. Promotion 9 will be for the new soap. Extend the trend lines for the different types of voucher. Use your trend lines to predict how many paper vouchers will be used and how many online vouchers will be used in Promotion 9. Space for working Paper vouchers Online vouchers (3 marks)

19 Sample 4 3G The company sends out paper vouchers for every campaign. Work out the probability that a person who receives a paper voucher for Promotion 9 will use it. Show your result on the probability line. Show your working Probability 3H The company spends the same amount of money to pay for vouchers for each promotion with half spent on paper vouchers and half on online vouchers. (4 marks) Use your results and the graph to recommend to your manager whether you should continue to spend money on paper vouchers for Promotion 9. Explain your answer. Should you continue to spend money on paper vouchers? Yes No Explanation (1 mark) End of assessment

20 Sample 4 Extra space for working out and answers

21 Sample 4 Published by City & Guilds 1 Giltspur Street London EC1A 9DD T +44 (0) F +44 (0) City & Guilds is a registered charity established to promote education and training