Functional Skills Mathematics Assessment SAMPLE PAPER Level 2

Transcription

1 Functional Skills Mathematics Assessment SAMPLE PAPER Level 2 Learner name Available marks Task 1 Q1a 6 1 st Marker 2 nd Marker Run ID Q1b 8 Q1c 1 Learner signature Q2a 9 Q2b 4 Task 2 Q1a 7 Centre Q1b 1 Task 3 Q1a 5 Q1b 9 Assessment date Total 50 Instructions to candidates Write your name and centre in the space provided You may use a calculator. You will need a pen, pencil and a ruler. Use only blue or black ink. Pencil must only be used for drawing. There are 3 tasks in this assessment. You must attempt ALL tasks. Total marks available: 50 You have two hours to finish the assessment

2 Task 1 Question 1 A charity committee is planning its annual fair. Mary is in charge of the refreshments. She wants to sell ice cream cornets. An ice cream cornet is one scoop of ice cream in a wafer cone. Mary estimates that one scoop of ice cream is roughly half a carton of ice cream. A carton holds 250 ml of ice cream. She knows: a one litre block of ice cream costs 1.96 a box of 20 wafer cones costs 87p Mary wants to: sell at least 50 ice cream cornets make enough money to cover the amount she spends on buying ice cream and wafer cones make a profit of 60% on what she spends charge a price for one ice cream cornet which does not involve having to use 1p or 2p coins in change. Page 2 of 15

3 1a) How much should Mary charge for one ice cream cornet? Explain your answer. (6 marks) Page 3 of 15

4 Mary plans to sell an orange drink at the fair. She wants to work out how many bottles of orange squash to buy. Mary knows she sold exactly 50 cups of orange drink at last year s fair. She wants to make at least one third more orange drinks this year than were sold last year. Orange drinks are: sold in cups containing 250ml of liquid made from orange squash and water by mixing 2 parts orange squash with 7 parts water. Mary finds some prices of bottles of orange squash litres litre litres 3.49 Page 4 of 15

5 1b) What is the lowest amount Mary has to spend for the orange squash she needs? Explain your answer. (8 marks) 1c) Show a check of your answer. (1 mark) Page 5 of 15

6 Task 1 Question 2 The refreshments will be sold in a food hall. There are a large number of rectangular tables in the hall. Mary wants people to be able to sit at the tables in the hall when they are eating and drinking. She wants to position the tables so that as many people as possible can sit down at them. The tables have length 2m and width 1m. Mary wants to put tables either on their own, or put two together as shown below. She estimates that each person needs 1m of table edge to sit at. Mary wants to allow a distance of: 1m between each table or pair of tables 1 m between each table or pair of tables and the walls or door 2 There is one door in the food hall. Page 6 of 15

7 2a) Use the scale diagram to show how the tables should be positioned. Remember to check that your plan allows the maximum number of people to be seated and state clearly what this is. (9 marks) Page 7 of 15

8 Mary is going to prepare a buffet lunch to be available between 12 noon and 3pm. She plans to make enough lunch for 140 people. Mary estimates the time needed for one person to serve themselves lunch, sit down and eat it, then leave the food hall, is approximately 40 minutes. She wants to work out if it is possible for 140 people to have a buffet lunch in the time available. 2b) Use the above information and your answer to question 2a to work out if it is possible. Explain your answer fully. (4 marks) Page 8 of 15

9 Task 2 Question 1 Every person who goes to the fair must pay an entrance fee. The table shows how much money was raised last year from entrance fees and selling raffle tickets. Entrance fee (20p per person) 36 Raffle tickets (25p per ticket) 90 The planning committee: wants to increase the amount raised this year to 20% more than last year wants the entrance fee and the cost of a raffle ticket to each be a multiple of 5 pence assumes the same number of people will attend the fair this year as attended last year assumes the same number of raffle tickets will be sold. 1a) How much should the committee charge for the entrance fee and for a raffle ticket at this year s fair? Justify your answer. (7 marks) Page 9 of 15

10 continue your workings here 1b) Show a check of your answer. (1 mark) Page 10 of 15

11 Task 3 Question 1 Bob operates a spinner game at the fair. To play the game, players put 20p on one number on the board. When every number has a 20p on it Bob spins the spinner. Whatever number the spinner stops at, the player who put 20p on that number wins 1. There is an equal chance of the spinner stopping at every number on the board. Page 11 of 15

12 1a) How many people would need to play the game in order for Bob to make at least 25? Explain your answer. (5 marks) Page 12 of 15

13 Ken runs a guessing game at the fair. He has a cylindrical jar filled with identical sweets. The sweets are in the shape of a cube. Players pay 20p each to guess the number of sweets in the jar. The player who guesses closest to the actual number wins the jar of sweets. A player who is good at maths decides to work out an estimate for the number of sweets. He knows these formulae: Volume of a cylinder = rh 2 where = 3.14, r = radius of jar, h = height of jar Volume of a cube = a 3 where a is the length of one edge He estimates the diameter of the jar as 20cm the height of the jar as 40cm the length of one edge of a sweet as 2cm. Page 13 of 15

14 1b) Use this information to estimate how many sweets are in the jar. State any assumptions you have made in your working. Show your working (9 marks) Page 14 of 15

15 END OF THE ASSESSMENT NOCN The Quadrant, Parkway Business Centre 99 Parkway Avenue Sheffield S9 4WG Tel: Fax: Page 15 of 15