Functional Skills Mathematics Assessment SAMPLE PAPER Level 1 Learner name Run ID Learner signature Centre Assessment date Available marks Task 1 Q1 4 Q2 3 Q3a 4 Q3b 3 Q3c 5 Q4a 3 Q4b 4 Task 2 Q1a 1 Q1b 3 Q2 4 Task 3 Q1 4 Q2 4 Q3 3 Total 45 1 st Marker 2 nd Marker Instructions to candidates. You may use a calculator. You will need a pen, pencil and ruler. You may need access to a 90 o set square, a compass, and a protractor. 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: 45 You have one and a half hours to finish the assessment. Page 1 of 25
Task 1 Question 1 The Khan family is planning a holiday in Cornwall for 7 nights. Mr Khan finds information about two different campsites. Sunny Farm Campsite 1 pitch (up to 6 people) 7 nights 288.15 Brooklands Campsite 7 nights Charge for 1 pitch 34.65 plus Charge per adult 54.60 Charge per child 32.20 Charge for car 10.50 There are 2 adults and 3 children in the family. They will take their car. Mr Khan thinks the family will save more than 40 if they choose Brooklands Campsite. 1) Will Mr Khan save more than 40 if the family chooses Brooklands Campsite? Explain your answer. Show your working in the space on the next page (4 marks) Page 2 of 25
Use this space for your workings out and your answer Page 3 of 25
Task 1 Question 2 Mr Khan wants to hire a camper van for a holiday in June. He sees this advert. Special offer Normal price for one week 870 Discount of 20% if you hire a van in June 2) How much discount would Mr Khan get? Show your working. Show how you can check your answer. (3 marks) Page 4 of 25
Use this space for your workings out and your answer Use this space for your check Page 5 of 25
Task 1 Question 3 Mr Khan wants to know at what time the family should get up on the day of the journey to the campsite. He makes a plan about what will happen on that day. Get ready to leave house 1 ½ hours Driving time 5 hours 45 minutes 2 breaks on journey 20 minutes each Lunch stop 45 minutes Mr Khan wants the family to arrive at the campsite by 4pm. He thinks they need to get up at 7.30am. 3a) Will the family arrive at the campsite by 4pm if they get up at 7.30am? Explain your answer Show your working in the space on the next page. (4 marks) Page 6 of 25
Use this space for your workings out and your answer Page 7 of 25
The washer bottle in the family s car is empty. Mr Khan needs to fill it with screen wash for the journey. The washer bottle contains 2 litres of screen wash when full. Mr Khan mixes 1 part concentrate with 4 parts water to make the screen wash. He wants to make enough screen wash to fill the washer bottle. 3b) How much concentrate does Mr Khan need to make 2 litres of screen wash? Explain your answer. Show your working. Use this space for your workings out and your answer (3 marks) Page 8 of 25
The family stop for lunch at a café on the journey. Here is the price list. Price list Main Course Burger and chips 7.95 Sausage and chips 7.50 Fish and chips 7.95 Pizza 8.50 Lasagne 7.50 Dessert Chocolate cake 4.25 Ice cream 3.95 Drinks Tea 2.75 Coffee 2.85 Soft drinks 1.95 The café offers this lunch deal. Lunch deal Any main course, dessert and drink 12 The family wants to order 3 pizzas, 1 fish and chips, 3 chocolate cakes, 2 coffees and 2 soft drinks. Mr Khan thinks he can save over 10 if he pays for 3 lunch deals. 3c) Can Mr Khan save over 10 if he pays for 3 lunch deals? Explain your answer. Show your working in the space on the next page. (5 marks) Page 9 of 25
Use this space for your workings out and your answer. Page 10 of 25
Task 1 Question 4 The family has booked a rectangular pitch of 6m by 5m for the camper van. Mrs Khan wants to put wind breakers around the perimeter of the pitch. The diagram shows the camping pitch. 6m 5m Diagram not drawn to scale Entrance 1m Each wind breaker is 3m long. Wind breakers can fold around corners. Wind breakers cannot be cut. Mrs Khan thinks she needs to use 8 wind breakers. 4a) Does Mrs Khan need to use 8 wind breakers? Explain your answer. Show your working in the space on the next page. (3 marks) Page 11 of 25
Use this space for your workings out and your answer Page 12 of 25
Mrs Khan wants to buy a gazebo to put up on the pitch. She wants to buy one that is as big as possible. Mrs Khan needs to make sure the gazebo will fit on the pitch. She wants to put the gazebo 50cm away from the camper van. Mrs Khan can buy gazebos in the sizes shown in the table. Each gazebo will occupy a square or rectangular space. Mrs Khan has drawn a scaled plan of the pitch. Table of gazebo sizes 2m by 2m 2.5m by 2.5m 3m by 2m 3m by 3m 4m by 2m 4m by 3m 4b(i) Which size gazebo should Mrs Khan buy? (2 marks) Use this space for your workings out and your answer Page 13 of 25
4b(ii) Draw a rectangle or square on the grid to show the position of the gazebo. (2 marks) Camper van Scale: 1 square on the grid represents an area 50cm by 50cm. Page 14 of 25
Task 2 Question 1 The Khan family are on holiday in the campsite. Mr Khan sees this statement written on the chalk board in reception. There is an 80% chance it will be sunny tomorrow. 1a) What is the likelihood it will be sunny tomorrow? (1 mark) Tick the correct answer below. Definitely will not be sunny tomorrow. Very unlikely it will be sunny tomorrow. Equally likely to be sunny or not sunny tomorrow. Very likely it will be sunny tomorrow. Definitely will be sunny tomorrow. Page 15 of 25
Mr Khan plans to go for a long walk. He will take a bag with him. Mr Khan wants to put items weighing up to 4kg into the bag. Here are the items he wants to take: o Water o Jacket o Snacks o Binoculars 1.5kg 800g 600g 900g 1b) Do the items Mr Khan wants to take with him weigh up to 4kg in total? Explain your answer. Show your working. (3 marks) Use this space for your workings out and your answer Page 16 of 25
Task 2 Question 2 Mrs Khan goes for a run each morning. She wears a device on her wrist which measures how many miles she runs. Mrs Khan aims to run a mean average of at least 3 miles a morning. Here are the numbers of miles she has run each morning. Day Sunday Monday Tuesday Wednesday Thursday Friday Number 4.2 2.3 1.8 4.7 4 2.5 of miles 2) Is the mean average running distance at least 3 miles a morning? Explain your answer. Show how you can check your answer. Show your working in the space on the next page. (4 marks) Page 17 of 25
Use this space for your workings out and your answer Use this space for your check Page 18 of 25
Task 3 Question 1 Mandy cleans caravans at the campsite. This is how Mandy works out her wages: Hours worked X 7.8 X 3 4 Take home pay ( ) Mandy works 32 hours in one week. Mandy works out that she will get 187.20 1) Will Mandy take home 187.20 for working 32 hours in one week? Show your working. Show how you can check your answer. (4 marks) Page 19 of 25
Use this space for your workings out and your answer Use this space for your check Page 20 of 25
Task 3 Question 2 Cheryl works in the Childrens Centre at the campsite. The centre offers these activities: o Face painting o Volley ball o Treasure hunt o Baseball o Wacky races (F) (V) (T) (B) (W) Cheryl needs to design a record sheet to show the name and activities a child wants to do. The record sheet must allow for up to 8 children and show which activities they want to do. Toby wants to play volley ball and baseball. Cheryl wants to record Toby s choices on the sheet. 2) Design a record sheet that shows what Cheryl needs to record. Use your record sheet to show Toby s choices. (4 marks) Page 21 of 25
Use this space for your record sheet Page 22 of 25
Task 3 Question 3 Alex manages the beach hire shop at the campsite. At a staff meeting, Alex has to talk about equipment that has been hired. Alex records the number of each type of equipment hired last week. Equipment Number hired Body Surf Paddle Wind Kayak board board board surfer 90 65 32 47 16 Alex starts to draw a bar chart to show this information. kayak Equipment hired wind surfer paddle board surf board body board 0 10 20 30 40 50 60 70 80 90 100 Page 23 of 25
3) Complete the remaining 2 label boxes and the wind surfer bar for Alex. Write a statement about the number of items hired last week. (3 marks) Use this space for your statement Page 24 of 25
END OF ASSESSMENT NOCN The Quadrant Parkway Business Centre 99 Parkway Avenue Sheffield S9 4WG E-mail:nocn@nocn.org.uk Tel: 0114 2270500 Fax: 0114 2270501 Page 25 of 25