Functional Skills Mathematics Level 1 Sample Assessment Fill in your name, date of birth, registration number and centre name in the boxes below. Surname: Other Names: Gateway Qualifications registration number: DOB: Centre Name: My signature confirms that I will not discuss the content of this assessment with anyone. Signature: Paper Ref: FSML1AF/P Time: 1 hour 30 minutes Marks Available: 45 Marks Awarded: /45 You must have: A pen with black or blue ink, calculator, HB pencil, eraser, ruler (graduated in cm and mm) Instructions Answer all questions. Answer the questions in the spaces provided. Information The total mark for this paper is 45. The marks for each question are shown in brackets - use this as a guide as to how much time to spend on each question. You must show clearly how you get your answers because marks will be awarded for your working out. Check your working and your answers at each stage. Calculators may be used throughout the paper. Functional Skills Maths Level 1 AF - Sample Page 1 of 17
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Task 1 Starting college Sara will travel to college from home and back again on the bus. She will catch the bus to college every day from Monday to Friday. Sara will also use the bus to make the same journey to meet friends in town every Saturday and Sunday. Sara looks at the cost of the buses to town. Single ( ) Day return ( ) Weekly pass ( ) Senior (65+) 1.50 8.50 Adult (18-64) 1.20 1.80 10.20 Junior (10-17) 0.80 1.20 6.80 1. (a) How much money will Sara save each week if she buys a Junior Weekly pass instead of Day return tickets each time she uses the bus? (3 marks) Functional Skills Maths Level 1 AF - Sample Page 4 of 17
Sara thinks she sees a pattern in the way that all Day return prices have been worked out. She has an idea: Adding half the price of a single to the full price of a single tells you the price of a return. 1. (b) Explain why Sara s idea is correct for the way the Adult Day return price has been worked out. 1. (c) Using Sara s idea, how much should a Senior single cost? Functional Skills Maths Level 1 AF - Sample Page 5 of 17
In a couple of months, Sara will be 18 years old. 1. (d) How much more per week will her new Adult weekly pass cost her compared to now? Sara needs to buy three books for her college course. She has seen the books advertised in a local bookshop. Books 4 U 13.00 9.50 14.75 Buy all 3 books save 20% of total price 1. (e) How much would it cost to buy all three books from the bookshop? (4 marks) Functional Skills Maths Level 1 AF - Sample Page 6 of 17
She has also seen the same books advertised at her college. College bargain books 14.40 9.60 13.95 Buy all 3 books and save two thirds on the most expensive book 1. (f) If Sara buys all three books from the college, how much will the most expensive book cost after she saves two thirds? (4 marks) Functional Skills Maths Level 1 AF - Sample Page 7 of 17
At the end of the first week in college, Sara invites five of her friends around for pizza. Sara looks at an online pizza menu. Personal 7 inch Small 9.5 inch Medium 11.5 inch Large 13.5 inch 4 slices 6 slices 8 slices 10 slices Sara thinks about what she needs to order. 6 people 4 slices of pizza each. 24 slices of pizza in total 1.(g) Show one way Sara could have worked out that she needed 24 slices of pizza. (1 mark) Functional Skills Maths Level 1 AF - Sample Page 8 of 17
Sara thinks about ordering three medium pizzas to get the 24 slices she needs. There are two other ways Sara could order three pizzas to make sure she has the correct number of slices with no slices left over. 1. (h) How else could Sara order three pizzas to make sure she has 24 slices with no slices left over? Give two different ways she could do this. Functional Skills Maths Level 1 AF - Sample Page 9 of 17
Sara wants to mix Hi-juice and water to make a drink. She reads the instructions on the label. Shake well and dilute to taste (mix one part Hi-juice to four parts water) Sara practices making the drink with a glass that holds 400ml of liquid. 1. (i) If Sara follows the instructions on the label, what quantity of Hi-juice and what quantity of water will she need to mix to make one full 400ml glass of the drink? (3 marks) Functional Skills Maths Level 1 AF - Sample Page 10 of 17
Sara is going to make enough drink so that all 6 people can have 2 glasses of 400ml each. 1.(j) In litres, how much drink will she need to make? Functional Skills Maths Level 1 AF - Sample Page 11 of 17
Task 2 Helping my auntie Lena is helping her auntie improve the family coffee shop ready for it to re-open. 2. (a) The coffee shop has tiles on the floor which will be replaced. Each tile is 90cm long and 60cm wide. 90cm 60cm This plan view shows how the tiles are arranged to cover the floor. 1 tile What is the area of the floor of the coffee shop in m 2? (4 marks) Functional Skills Maths Level 1 AF - Sample Page 12 of 17
2. (b) You should have checked your calculations throughout the task. Use the box below to show how you would check your answer to 2 part (a). The method you use for checking must be different from the method you first used to work out your answer. 2. (c) When the coffee shop re-opens, Lena wants to put up advertising banners around the wall of the room. Before buying the banners, she measures the perimeter of the coffee shop. Use the plan view in (a) to help you work out the perimeter of the coffee shop. Functional Skills Maths Level 1 AF - Sample Page 13 of 17
2. (d) Lena sees a headline in a newspaper that says: UK coffee shops turnover up an average of 10% from 2015 Lena asks her auntie for the shop s turnover figures. Month 2015 turnover ( ) 2016 turnover ( ) January 6 250 6 875 February 5 825 6 425 March 5 550 6 225 April 5 275 5 875 May 4 850 5 525 June 4 575 4 875 July 4 350 4 675 August 3 900 4 725 September 4 750 4 975 October 4 975 4 900 November 5 625 5 975 December 5 875 6 325 TOTAL 61 800 Based on these figures, is the coffee shop s 2016 turnover up a greater or lesser amount than 10% from 2015? (4 marks) Functional Skills Maths Level 1 AF - Sample Page 14 of 17
Lena looks at sales of coffee from the previous week. Number of cups of coffee sold Small Medium Large Total 270ml 380ml 490ml Mon 11 32 19 62 Tues 5 19 12 36 Wed 6 17 8 31 Thu 8 21 16 45 Fri 9 26 17 52 Sat 12 34 22 68 Total 51 149 94 2. (e) On which day did the shop sell the most cups of coffee? (1 mark) 2. (f) How many cups of coffee did the shop sell in total the previous week? Functional Skills Maths Level 1 AF - Sample Page 15 of 17
2. (g) You should have checked your calculations throughout the task. Use the box below to show how you would check your answer to 2 part (f). The method you use for checking must be different from the method you first used to work out your answer. 2. (h) What is the mean number of cups of coffee the shop sells in a day? (3 marks) Functional Skills Maths Level 1 AF - Sample Page 16 of 17
END OF ASSESSMENT Gateway Qualifications Gateway House 3 Tollgate Business Park Colchester, CO3 8AB 01206 911211 enquiries@gatewayqualifications.org.uk @GatewayQuals Functional Skills Maths Level 1 AF - Sample Page 17 of 17