Unit 2_foundation_march_2012
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The document provides instructions for a mathematics exam. It instructs students to fill out their personal information, use black or blue ink, answer all questions in the spaces provided, and show their working. It notes the total marks for the paper is 60 and which questions require clear written communication. The document advises students to read questions carefully, keep track of time, try to answer every question, and check their work. It also includes a blank formulae page.
Unit 2_foundation_march_2012
- 1. Instructions • Use black ink or ball-point pen. • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • Calculators may be used. • If your calculator does not have a π button, take the value of π to be 3.142 unless the question instructs otherwise. Information • The total mark for this paper is 60. • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. • Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care with your spelling, punctuation and grammar, as well as the clarity of expression, on these questions. Advice • Read each question carefully before you start to answer it. • Keep an eye on the time. • Try to answer every question. • Check your answers if you have time at the end. This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2012 Edexcel Limited.
- 2. GCSE Mathematics 2MB01 Formulae: Foundation Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit. 1 Area of trapezium = 2 (a + b)h Volume of prism = area of cross section × length 2
- 3. Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. 1. (a) Write the number 8 million in figures. .............................................................. (1) (b) Write the number 7102 in words. .................................................................................................................................................... (1) (c) Write the number 15.46 correct to one decimal place. .............................................................. (1) (d) Write the number 421 correct to two significant figures. .............................................................. (1) (Total for Question 1 is 4 marks) 2. a=3 b=5 Work out the value of 4a + 2b .............................................................. (Total for Question 2 is 2 marks) 3
- 4. 3. (a) What fraction of this shape is shaded? Write your fraction in its simplest form. .............................................................. (2) 3 (b) Shade of this shape. 8 (1) (Total for Question 3 is 3 marks) 4. (a) Write down the square of 8 .............................................................. (1) (b) Write down the value of 103 .............................................................. (1) (c) Estimate the value of √20 .............................................................. (1) (Total for Question 4 is 3 marks) 4
- 5. 5. (a) Simplify g + g + g + g + g .............................................................. (1) (b) Simplify 7m – 3m .............................................................. (1) (c) Simplify 4e × 5f .............................................................. (1) (Total for Question 5 is 3 marks) 6. (i) Measure the length of PQ. PQ = .............................................................. cm (ii) Mark with a cross (×) the midpoint of the line PQ. (iii) Draw a line perpendicular to the line PQ. (Total for Question 6 is 3 marks) 5
- 6. 7. (i) Find the value of x. x = .............................................................. (ii) Give a reason for your answer. .................................................................................................................................................... .................................................................................................................................................... (Total for Question 7 is 2 marks) 8. (a) Write down all the factors of 18 ............................................................................................ (2) Here is a list of numbers. 20 21 22 23 24 25 26 27 28 29 (b) From the list, write down all the multiples of 7 .............................................................. (1) (Total for Question 8 is 3 marks) 6
- 7. 9. Mason is ill. The diagram shows Mason’s body temperature, in °C, on a thermometer. Normal body temperature is 36.8 °C. (a) Work out the difference between Mason’s body temperature and normal body temperature. .............................................................. °C (2) Mason’s body temperature drops by 1.2 °C. (b) Show Mason’s new body temperature on the thermometer below. (1) (Total for Question 9 is 3 marks) 7
- 8. 10. The diagram shows a partly tiled wall. Alfie is tiling the wall with black and grey tiles. He is going to use a total of 10 black tiles. Alfie is going to make a symmetrical pattern with the tiles. (a) (i) On the diagram, show where Alfie could put the 4 black tiles he has left. (ii) Work out the total number of grey tiles that Alfie uses to tile the wall. .............................................................. (3) Alfie has 4 boxes of grey tiles and 1 box of black tiles. Each box of tiles costs £6.20 (b) Work out the total cost of the tiles. £ .............................................................. (2) (Total for Question 10 is 5 marks) 8
- 9. 11. The exchange rate for pounds (£) to euros (€) is £1 = €1.20 (a) Complete the table of values. £ 0 1 5 10 15 20 25 30 € 1.20 6 24 30 (2) (b) On the grid, draw a conversion graph for pounds (£) to euros (€). Pounds (£) (2) Louise changes £250 into euros. (c) Work out how many euros Louise should get. .............................................................. euros (2) (Total for Question 11 is 6 marks) 9
- 10. *12. Daniel wants to buy a laptop. Two shops sell the same make of laptop. Daniel wants to pay the least amount of money for his laptop. Which of the two shops should Daniel buy the laptop from? You must show all of your working. (Total for Question 12 is 4 marks) 10
- 11. 13. Caroline is driving her car in France. She sees this road sign. (a) Work out the distance between Lamballe and Montauban on the N12 .............................................................. km (1) Caroline is going to Rennes on the N12 She stops driving 10 miles from the road sign. (b) Work out how much further Caroline has to drive to get to Rennes. .............................................................. (3) (Total for Question 13 is 4 marks) 11
- 12. 14. Here are the first five terms of an arithmetic sequence. 2 7 12 17 22 (a) (i) Find the next term of this sequence. .............................................................. (ii) Explain how you found your answer. ................................................................................... .......................................................... ............................................................................................................................................. (2) (b) Write down an expression, in terms of n, for the nth term of the sequence. .............................................................. (2) (Total for Question 14 is 4 marks) 12
- 13. *15. Marc drives a truck. The truck pulls a container. The container is a cuboid 10 m by 4 m by 5 m. Diagram NOT accurately drawn Marc fills the container with boxes. Each box is a cuboid 50 cm by 40 cm by 20 cm. Show that Marc can put no more than 5000 boxes into the container. (Total for Question 15 is 4 marks) 13
- 14. 16. Here is a list of ingredients needed to make 12 scones. Ingredients for 12 scones 220 g self-raising flour 40g butter 150 ml milk 2 tablespoons sugar Viv is making scones for 15 people. She is making 2 scones for each person. Work out the amount of each ingredient she needs. Self-raising flour .............................................................. g Butter .............................................................. g Milk .............................................................. ml Tablespoons of sugar ................................................................... (Total for Question 16 is 3 marks) 14
- 15. *17. In the diagram, all measurements are given in centimetres. All angles are right angles. Show that the perimeter of the shape can be written as 2(3x + 5). (Total for Question 17 is 4 marks) TOTAL FOR PAPER IS 60 MARKS 15
- 16. BLANK PAGE 16