Unit 2: Number, Algebra, Geometry 1 (Non-Calculator) Foundation Tier

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2 GCSE Mathematics 2MB Formulae: Foundation Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit. a Area of trapezium = 1 2 (a + b)h h b Volume of prism = area of cross section length cross section length 2 *P38976A0220*

3 Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. 1 (a) On the grid, draw a kite. (b) Here is a quadrilateral. Write down the special name of this quadrilateral.... (Total for Question 1 is 2 marks) *P38976A0320* 3 Turn over

4 2 (a) Work out (b) Write these numbers in order of size. Start with the smallest number (c) Write 7 10 as a decimal.... (Total for Question 2 is 3 marks) 3 Here is a regular pentagon. (a) What is the order of rotational symmetry of this pentagon?... (b) Draw a line of symmetry on this pentagon. (Total for Question 3 is 2 marks) 4 *P38976A0420*

5 4 (i) What type of angle is this?... (ii) Measure the size of the angle. (Total for Question 4 is 2 marks) 5 Diagram NOT accurately drawn 50 x (i) Work out the value of x. x = (ii) Give a reason for your answer (Total for Question 5 is 2 marks) *P38976A0520* 5 Turn over

6 6 (a) Simplify c + c + c (b) Simplify 4x + 5y 2x + y (2) (Total for Question 6 is 3 marks) 7 Here are some patterns made from dots. Pattern number 1 Pattern number 2 Pattern number 3 (a) Draw Pattern number 4 in the space below. (b) How many dots are needed for Pattern number 15? (2) (Total for Question 7 is 3 marks) 6 *P38976A0620*

7 *8 Yusuf is planning a disco party at his Youth Club. Here are his costs. Mobile Disco 230 Hire of room 150 Other costs 30 Food 12 per person Yusuf charges 16 per ticket. He sells 100 tickets. Is there enough money from the ticket sales for Yusuf to pay all his costs? You must show your working. (Total for Question 8 is 4 marks) *P38976A0720* 7 Turn over

8 9 The table shows the highest temperature and the lowest temperature in London and in Oslo on the same day. Highest Lowest London 8 C -7 C Oslo -4 C -9 C (a) Work out the difference between the lowest temperature in London and the lowest temperature in Oslo. C (b) Work out the difference between the highest temperature in London and the lowest temperature in London. 10 (a) Work out C (Total for Question 9 is 2 marks) (b) Work out Give your answer in its simplest form. (2) (Total for Question 10 is 3 marks) 8 *P38976A0820*

9 11 Here is a diagram of a cuboid. Diagram NOT accurately drawn 5 cm 4 cm 10 cm (a) Write down the number of edges of the cuboid. (b) Calculate the volume of the cuboid. (3) (Total for Question 11 is 4 marks) *P38976A0920* 9 Turn over

10 * 12 Barbara goes on holiday to Prague. The currency in Prague is the Koruna (KC). This graph can be used to convert between (pounds) and KC (Koruna). The exchange rate is 1 = 30 KC KC (Koruna) (pounds) Barbara bought some things in London. She saw the same things on sale in Prague. The table shows the cost in (pounds) and the cost in KC (Koruna). Item Cost in London (pounds) Cost in Prague KC (Koruna) Headphones KC Suitcase KC Music player KC 10 *P38976A01020*

11 Barbara thinks the total cost of these things was more in London than in Prague. Is she correct? Give a reason for your answer. You must show all your working. (Total for Question 12 is 5 marks) *P38976A01120* 11 Turn over

12 * 13 Comp Parts and Z Parts both sell memory sticks. Comp Parts Z Parts Memory sticks 4 each Memory sticks 1 free stick for every 10 sticks bought 35 for a box of 10 sticks There are 150 students in Year 10 in a school. A teacher needs to buy a memory stick for each student. At which of the shops should he buy the memory sticks? You must show all your working. (Total for Question 13 is 5 marks) 12 *P38976A01220*

13 14 On the grid, draw the graph of y = 2x + 3 for values of x from x = 3 to x = 1 y O 1 1 x (Total for Question 14 is 3 marks) *P38976A01320* 13 Turn over

14 15 Work out (Total for Question 15 is 3 marks) 14 *P38976A01420*

15 16 Here are the first four terms of an arithmetic sequence (a) What is the next term of this sequence? (b) Write down an expression, in terms of n, for the nth term of the sequence. (2) (Total for Question 16 is 3 marks) 17 Ali, Ben and Candice share 300 in the ratio 2 : 3 : 5 How much money does Candice get? (Total for Question 17 is 2 marks) *P38976A01520* 15 Turn over

16 18 Veena bought some food for a barbecue. She is going to make some hot dogs. She needs a bread roll and a sausage for each hot dog. There are 40 bread rolls in a pack. There are 24 sausages in a pack. Veena bought exactly the same number of bread rolls and sausages. (i) How many packs of bread rolls and packs of sausages did she buy? packs of bread rolls (ii) How many hot dogs can she make?... packs of sausages. hot dogs (Total for Question 18 is 5 marks) 16 *P38976A01620*

17 19 Here is a solid cuboid. Diagram NOT accurately drawn height 5 cm 10 cm The cuboid has a width of 5 cm and a length of 10 cm. The cuboid has a total surface area of 280 cm 2. Work out the height of the cuboid. cm (Total for Question 19 is 4 marks) TOTAL FOR PAPER IS 60 MARKS *P38976A01720* 17

18 BLANK PAGE 18 *P38976A01820*

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20 BLANK PAGE 20 *P38976A02020*

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