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# Unit 3 foundation practice paper -_set_a

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### Unit 3 foundation practice paper -_set_a

2. 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. 1Area of trapezium = 2 (a + b)hVolume of prism = area of cross section × lengthPractice Paper A 3F 2
3. 3. Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working.1. Here are some 6-sided shapes. A B C E F D G H J (a) Write down the letters of two shapes that are congruent. …………………………………… (1) (b) Write down the letters of two shapes that are similar. …………………………………... (1) (c) Write down the mathematical name for the 6-sided shapes. …………………………………. (1) (Total for Question 1 is 3 marks) Practice Paper A 3F 3
4. 4. *2. Jim has 5 lengths of wood that are each 2 metres long. He wants to make two shelves for an airing cupboard. Each shelf is made from seven pieces of wood. The five long pieces are each 80 cm long. The two short pieces are each 35 cm long. Does Jim have enough wood to make the shelves? You must explain your answer. (Total for Question 2 is 5 marks) Practice Paper A 3F 4
5. 5. 3. (a) On the grid draw a pair of parallel lines. P A B (1) (b) On the grid draw a perpendicular from the point P to the line AB. (1) (Total for Question 3 is 2 marks)4. This equilateral triangle has sides of length l cm. Practice Paper A 3F 5
6. 6. l cm l cm l cm(i) Write down a formula, in terms of l, for the perimeter P of the triangle. …………………………. (2)(ii) Find the value of P when l = 10 …………………. (1) (Total for Question 4 is 3 marks)Practice Paper A 3F 6
7. 7. 5. (a) Solve a + a + a = 12 a = ..…………….. (1) (b) Solve g – 5 = 4 g = ……………… (1) y (c) Solve =6 3 y = ……………. (1) (Total for Question 5 is 3 marks)6. There are 2 bus stops on the High Street. There are 23 people on a bus when it reaches the first bus stop. 15 people get off, 21 people get on. At the second bus stop, 25 people get off, 18 people get on. How many people are now on the bus? ………………. people (Total for Question 6 is 3 marks) Practice Paper A 3F 7
8. 8. 7. mirror line A (a) Reflect the shaded triangle A in the mirror line (2) Practice Paper A 3F 8
9. 9. mirror line(b) Reflect the shaded shape B in the mirror line. (2) (Total for Question 7 is 4 marksPractice Paper A 3F 9
10. 10. 8. F = 5k + 3 k=7 (a) Work out the value of F. F = …………………. (2) T = 4w – 2 T = 22 (b) Work out the value of w. w = …………………. (2) F = ma + b (c) Make a the subject of the formula. a= …………………. (2) (Total for Question 8 is 6 marks) Practice Paper A 3F 10
11. 11. 9. Here is triangle ABC. A 5.4 cm 67° B C 8.3 cm Make an accurate drawing of this triangle. (Total for Question 9 is 3marks)10. (a) Change 650 mm into cm. ……………….. cm (1) (b) Change 2.45 km into m. ……………… m (1) (Total for Question 10 is 2 marks) Practice Paper A 3F 11
12. 12. 11. Mr & Mrs Evans and their two children Emma (age 12) and Tom (age 4) have a day out at a theme park. The entrance fee is Adult £19.95 Child (under 16) £12.50 Child (under 5) £ 5.99 Family ticket £45 Work out how much is saved if they buy a family ticket rather than individual tickets. £ ………………… (Total for Question 10 is 5 marks)12. Becky is organising a coach trip for some students. They are all going to travel by coach. Each coach can carry 53 passengers There are going to be 335 students going on the trip. For every 15 students there will need to be one adult. Work out how many coaches Becky will need. ……………. coaches (Total for Question 11 is 5 marks) Practice Paper A 3F 12
13. 13. *13. Jodie bought a new TV on a credit plan. Cash The cash price for the TV is £625 price £625 Jodie pays a deposit of 15% She then pays 24 payments of £25.95 Credit Plan How much more did it cost using the credit plan than paying the cash price? 15% deposit 24 payments of £25.95 (Total for Question 13 is 5 marks)14. Johan earned £40 000 last year. He paid £6000 in tax. Write £6000 as a fraction of £40 000 Give your fraction in its simplest form. ………………. (Total for Question 14 is 2 marks) Practice Paper A 3F 13
14. 14. 15. Here is a parallelogram. x cm The height of the parallelogram is x cm. The perimeter of the parallelogram is 44 cm. The length of the parallelogram is three times as long as the height. The slant length of the parallelogram is 2 cm longer than the height. Find the area of the parallelogram. ………………… cm² (Total for Question 15 is 5 marks) Practice Paper A 3F 14
15. 15. 16. Here is a travel graph of Siân’s journey from her house to the library and back to her house. 20 18 16 14 Distance 12 from Siân’s 10 house 8 (km) 6 4 2 0 09 00 09 30 10 00 10 30 11 00 11 30 Time Siân stopped at some road works at 09 30 (a) For far is Siân from her house at 09 30? ……………..km (1) The library is 20 km from Siân’s house. (b) (i) At what time did Siân arrive at the library? …………….. (ii) How long did Siân spend at the library? ……………. minutes (2) Siân left the library to travel back to her house. (c) At what time did Siân arrive back at her house? …………………. (1) (d) At what speed did Siân travel on her way back from the library? ……………… km/h (2) (Total for Question 16 is 6 marks) Practice Paper A 3F 15
16. 16. 17. The diagram shows the position of two airports, A and B. A plane flies from airport A to airport B. N N A Scale: 1 cm represents 50 km B (a) Find the bearing of airport B from airport A ..................................° (1) (b) Work out the real distance between airport A and airport B. Use the scale 1 cm represents 50 km. .................................. km (2) Airport C is 350 km on a bearing of 066° from airport B. (c) On the diagram, mark airport C with a cross (×). Label it C. (2) (Total for Question 17 is 5 marks) Practice Paper A 3F 16
17. 17. 18. On the grid below show how the shaded shape will tessellate. You should draw at least 8 shapes. (Total for Question 18 is 2 marks)*19. Here is part of Mr. Jones’ electricity bill. Electricity Bill Seelec Mr A. Jones Electricity for 23 The Street the South East Lavenham CO 10 1XY Cost per unit Date of meter readingReading in unitsJan. 31st 201125192April 31st 201127065 11.45p Find the total cost for Mr Jones’ electricity bill. Practice Paper A 3F 17
18. 18. (Total for Question 19 is 5 marks)Practice Paper A 3F 18
19. 19. 20. y 6 5 4 3 2 1 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 x −1 P −2 −3 −4 −5 −6 (a) Rotate triangle P 180° about the point (−1, 1). Label the new triangle A. (2) 6 (b) Translate triangle P by the vector  ÷.  −1  Label the new triangle B. (2) Practice Paper A 3F 19
20. 20. y 5 4 3 2 R Q 1 O 1 2 3 4 5 x(c) Describe the single transformation that moves shape Q to shape R . (2) (Total for Question 20 is 6 marks) TOTAL FOR PAPER = 80 MARKSPractice Paper A 3F 20
21. 21. BLANK PAGEPractice Paper A 3F 21