Functional Skills Mathematics Assessment Level 2

Transcription

1 Functional Skills Mathematics Assessment Level 2 Learner name Run ID Available marks Task 1 Q1 8 Q st Marker 2 nd Marker Learner signature Q3 6 Q4 6 Centre Task 2 Q1a 7 Q1b 1 Assessment date Q2 5 Q3a 4 Q3b 1 Q4 2 Total 50 Instructions to candidates Write your name and centre in the space provided on all sheets 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 You and three friends are planning a group trip to Glasgow for a music festival. The festival is on Saturday 12 th July; it starts at 11am and will finish at midnight. The group cannot leave until you finish work at 4pm on the Friday. The group must be back on the Sunday evening by 10pm. You have a total travel budget of 240. You must all travel together. You find these timetables for air, coach and train travel to Glasgow from London. Flights Going to: Glasgow Outward Journey Going to: London Return Journey Fri 11 th Sat 12 th Sat 12 th Sun 13 th Dep 07:55 Arr 08: Dep 14:25 Arr 15: Dep 18:55 Arr 20: Dep 07:00 Arr 08: Dep 17:25 Arr 18:50 SAVER FARE Dep 19:25 Arr 20: Dep 08:55 Arr 10: Dep 19:20 Arr 20:45 SAVER FARE Sold Out Dep 10:05 Arr 11: Dep 16:45 Arr 18: Dep 20:55 Arr 22:20 Coaches London to Glasgow Friday 11 th July 2011 Departs From To Arrives Duration Fare 13:00 LONDON GLASGOW 22:30 9h 30 m :00 LONDON GLASGOW 05:15 11h 15m 22:50 22:30 LONDON GLASGOW 07:05 8h 35m Glasgow to London Sunday 13 th July 2011 Departs From To Arrives Duration Fare 08:15 GLASGOW LONDON 17:45 9h 15m :00 GLASGOW LONDON 20:35 9h 35m :00 GLASGOW LONDON 01:30 9h 30 m Name: Centre: Page 2 of 15

3 Train Leaving - Friday 11 th July London to Glasgow Leaving From To Arriving Off Peak single Fare Advance single Fare Standard Single fare 15:30 London Euston Glasgow Central 20: :30 London Euston Glasgow Central 21: :30 London Euston Glasgow Central 22: :30 London Euston Glasgow Central 23: :30 London Euston Glasgow Central 01: Train Return - Sunday 13 th July Leaving From To Arriving Off Peak single Fare Glasgow to London Advance Standard single Fare Single fare 14:30 Glasgow Central London Euston 19: :30 Glasgow Central London Euston 20: :30 Glasgow Central London Euston 21: :30 Glasgow Central London Euston 22: :30 Glasgow Central London Euston 23: Q1a) Looking at time and cost, which method of transport would you choose for your group? Explain your choice (8 marks) Name: Centre: Page 3 of 15

4 Would hiring a car be cheaper than your choice of transport from Question 1a? You look at hiring a car for the trip as 240 seems a lot of money to spend on transport to the festival. The journey is 402 miles each way. 1 gallon = litres Car Group Models Details Hire Price for trip Miles per Gallon Class B Economy Chevrolet Kalos 3 or 5 doors 4 seater CD player MPG Class C Small Compact Chevrolet Lacetti 3 or 5 doors 5 seater Sat Nav MPG Class D Large Compact Vauxhall Astra 3 or 5 doors 5 seater Power steering DAB Radio MPG Region Unleaded 95 Octane (pence / litre) Scotland North North West Yorkshire & Humberside West Midlands East Midlands East Anglia South East South West London Name: Centre: Page 4 of 15

5 Q1b) Will you change your choice of transport? Explain your answer. (10 marks) Name: Centre: Page 5 of 15

6 Task 1 Question 2 You have read a magazine article about CO 2 emissions. You have found this information: C0 2 EMISSIONS CALCULATOR Train 53.5 g /per km per passenger Coach 32.0 g /per km per passenger Plane g /per km per passenger Car Group Emissions g/km Class B Economy 153g/km per car Class C Small Compact 171 g/km per car Class D Large Compact 193 g/km per car The distance to the festival is 402 miles each way. This is the formula for working out CO 2 emissions. T= E x 2D x Where T = Total k/gms E = Emissions in grams per passenger per km D = Distance one way Name: Centre: Page 6 of 15

7 Q2) Using the information on emissions, which would be the most efficient mode of transport for the group trip to the festival? Explain your answer. (6 marks) Name: Centre: Page 7 of 15

8 Task 1 Question 3 You have been loaned a car for the group trip to the festival. The capacity of the car boot is 240 litres. Volume = 1000cm 3 = 1 litre You have the following sized luggage available to take with you. One of the group does not think you will be able to take all of the pieces of luggage. 62 x 30 x 62 cm 55 x 30 x 25 cm 52 x 33 x 40 cm 76 x 38 x 33 cm 40 x 20 x 15 cm Q3) Is your friend correct? What combination can the group take with them to maximize the space available? Explain your answer (6 marks) Name: Centre: Page 8 of 15

9 Continue your working: Name: Centre: Page 9 of 15

10 Task 2 Question 1 The four of you will need accommodation for two nights. Camping is free at the festival site but you will need tents. You also find information on hotels near the festival site. Glasgow Central 0.1 miles away from Glasgow City Centre 95 per room per night sleeps 4 adults max BOOK NOW Hotels Glasgow Dunbar Street 0.2 miles away from Glasgow City Centre per person per night sleeps 4 adults max 15% discount for second night BOOK NOW Glasgow Airport 0.4 miles away from Glasgow City Centre per room per night sleeps 3 adults max BOOK NOW Tent World Make Tent Description Sleeps Price Meridian Backpacker Tent 1 Person Buy 2 get 1 free Gerbil 2-man Tent 2 Persons % discount when bought with any other tent Tristar Glastonbury Special** 1 Person Free rain cape Roughit Quick Pitch 2-3 Persons ** This product is not waterproof. Q1a) What form of accommodation will you choose for the group? Use the information available to justify your answer. (7 marks) Name: Centre: Page 10 of 15

11 Continue your working: Q1b) Show how you check your choice of accommodation. (1 mark) Name: Centre: Page 11 of 15

12 Task 2 Question 2 Your friend has bought the festival tickets for the group at a cost of 720 plus 2.5% charges. You each need to pay her back by the 5 th June. You check your bank statement. Date Description Money In Money out Balance 30th May Balance brought forward from Previous statement th May Wages 1, st June Food store st June Gas/Electric nd June Rent rd June Shop stop th June Overdraft payment 3.00 Q2) What will you tell your friend and why? (5 marks) Name: Centre: Page 12 of 15

13 Task 2 Question 3 You need to save at least 320 per month to cover all of your costs for travel, accommodation, food and drink for the festival. After household expenses and the costs leisure activities, by the end of the month you only have 60 left to save. You get paid per month for 40 hours per week. You get paid 7.50 per hour normal rate and an extra 25% for working weekends. Where you work is open 24 hours a day but you cannot work more than 52 hours a week. Q3a) Using this information to work out how many hours per month you need to work. Explain your answers. (4 marks) Q3b) Show how you check your answer. (1 mark) Name: Centre: Page 13 of 15

14 Task 2 Question 4 The possibility of rain may make you change your mind about whether to go or not. The bar chart has last year s rainfall in July. Q4) Use the information to see the likelihood of it raining on any one day in July? Express this as a percentage. (2 marks) Name: Centre: Page 14 of 15

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