Functional Mathematics PDF Free Download

Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Question Mark Functional Skills Certificate June 2015 Functional Mathematics 4368 Level 2 1 2 3 4 TOTAL Wednesday 13 May 2015 9.00 am to 10.30 am For this paper you must have: mathematical instruments a copy of the data book (examination) (enclosed). You may use a calculator. Time allowed 1 hour 30 minutes Instructions Use black ink or black ball-point pen. Draw diagrams in pencil. Fill in the es at the top of this page. Answer all questions. You must answer the questions in the space provided. around each page or on blank pages. Do all rough work in this book. Cross through any work that you do not want to be marked. State the units of your answer where appropriate. Information The marks for questions are shown in brackets. The maximum mark for this paper is 60. You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer booklet. You are expected to use a calculator where appropriate. Evidence of checking is specifically assessed in Question 3(b). This question is indicated with a. Advice In all calculations, show clearly how you work out your answer. (JUN15436801) /E4 4368 QAN 500/8702/2

2 Answer all questions in the spaces provided. 1 Rug Making There is a data sheet for Rug Making. I design and make rugs with a symmetrical pattern. Tim Tim designs a rug starting with this shape. 1 (a) Follow the instructions on the data sheet to complete Tim s design. [3 marks] (02)

3 Question 1 continues on the next page Turn over (03)

4 Tim wants to make a black and white rug. Here is his design drawn to scale. Scale 1:10 1 (b) What actual area does one square centimetre on the drawing represent? Circle your answer. [1 mark] 1 cm 2 10 cm 2 100 cm 2 1000 cm 2 1 (c) Work out the actual area of black wool and the actual area of white wool for this rug. [5 marks] (04)

5 1 (d) To make the rug Tim uses a rug canvas with 16 holes per square inch. He buys the wool in packs containing 150 strands per pack. He says I will need more than 70 packs of black wool to make the rug. Is he correct? You must show your working. [4 marks] Turn over (05)

6 1 (e) Tim needs 122 packs of wool to make a different rug. Packs of wool cost 1.54 per pack. The rug is 90 cm wide and 150 cm long. 90cm wide rug canvas costs 12.50 per metre of length. He has to pay VAT at 20% on both the wool and the rug canvas. Tim says, 250 is more than enough to buy the materials I need to make this rug. Is he correct? You must show your working. [6 marks] 19 (06)

7 Turn over for the next question DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Turn over (07)

8 2 High Pond Activity Centre There is a data sheet for High Pond Activity Centre. I teach at Kenfield School. I am planning a trip to High Pond. Mr Shah Mr Shah sends this e-mail to the Centre Manager. Dear Sir Here are our plans for a trip to High Pond. Number of students 39 Number of staff 5 We would like to arrive on a Monday and stay until the Friday. Yours faithfully Mr Shah (08)

9 2 (a) Students can pay the 250 cost of the trip over 18 weeks. In the first week they pay 15% They then pay 17 weekly payments of 12.50 Mr Shah says, This comes to exactly 250 Is he correct? You must show your working. [4 marks] 2 (b) The school agrees to pay three-quarters of the total staff costs. How much is this? [4 marks] Turn over (09)

10 2 (c) At High Pond, Harry and Maya do archery. In this activity they shoot arrows at a target. Each arrow can score between 1 and 10 depending upon where it hits the target. If the arrow misses the target it scores 0 Harry shoots 50 arrows and Maya shoots 40 arrows. Here are their scores. Harry Maya Score Frequency Score Frequency 10 2 9 5 8 6 7 11 6 12 5 8 4 2 3 2 2 1 1 1 0 0 10 5 9 5 8 7 7 9 6 7 5 2 4 0 3 2 2 2 1 1 0 0 (10)

11 Use these scores to decide who is better at archery. You must show your working. [4 marks] 12 Turn over for the next question Turn over (11)

12 3 Cupcakes I make cupcakes and sell them at a market. Amy Amy makes each cupcake in a paper case. She sells the cupcakes in single es and in double es. Single Double (12)

13 3 (a) Amy takes the cupcake es to the market in crates. Each single is a cube of side 95 mm Each crate is a cuboid measuring 760 mm by 450 mm by 235 mm Single Crate 95 mm 95 mm 95 mm 235 mm 450 mm 760 mm She says, I can fit at least 60 single es in a crate. Is she correct? You must show your working. [4 marks] Turn over (13)

14 Amy makes 120 cupcakes. She wants to sell 80 cupcakes in single es the rest of the cupcakes in double es, with 2 cupcakes in each. 3 (b) Amy buys the es. The cost of each single depends on how many single es she buys. The cost of each double depends on how many double es she buys. Number of es Single Cost Double 1 to 24 89p each 99p each 25 to 49 84p each 94p each 50 to 99 79p each 89p each 100 to 149 74p each 84p each 150 or more 69p each 79p each Work out the total cost of the es for these 120 cupcakes. [3 marks] Check your answer by rounding the cost of each to the nearest 10 pence. [1 mark] (14)

15 3 (c) As well as paying for the es, Amy has to pay these costs. 120 paper cases 4.80 altogether Market stall 50 Ingredients 30p per cupcake The full selling price of the cupcakes is Amy sells Single 2.50 Double 4.50 4 of the single es at full price and the rest at half price 5 all of the double es at full price. Does she make more than 100 profit? You must show your working. [8 marks] 16 Turn over (15)

16 4 Shop I want to open a shop. Dan 4 (a) This diagram shows the floor of the shop. 2 m door 10 m Not drawn accurately 5 m 12 m 5 m 7 m door 5 m 11 m Dan needs skirting board to go around the edges of the floor. He does not need skirting board where the doors are. Skirting board is sold in lengths of 4.2 metres. The lengths can be cut to size. Work out how many 4.2 metre lengths he needs. [3 marks] (16)

17 4 (b) Dan wants the shop to be open for exactly 80 hours each week. On Saturday the shop will open at 8 am and close at 9 pm On Sunday the shop will open at 9 am and close at 6 pm From Monday to Friday the shop will open at 7 am and close before 10 pm Complete the table to show possible closing times. [3 marks] Open at Close at Monday 7 am Tuesday 7 am Wednesday 7 am Thursday 7 am Friday 7 am Saturday 8 am 9 pm Sunday 9 am 6 pm Turn over (17)

18 4 (c) Dan needs to buy fridges to hold bottles display units for chilled food. There are three types of fridge. Fridge A Fridge B Fridge C Holds 150 bottles Holds 260 bottles Holds 90 bottles Cost 345 Cost 600 Cost 215 There are two types of display unit. Unit X Unit Y Cost 900 Cost 520 (18)

19 Dan wants to buy fridges to hold at least 400 bottles buy at least five display units spend between 3900 and 4100 in total. Show one possible way he can do this. Include the total number of bottles that the fridges hold. Include the total amount of money he spends. [7 marks] END OF QUESTIONS 13 (19)