GCSE Mathematics. Foundation Tier

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For Edexcel Name GCSE Mathematics Paper 2F (Calculator) Foundation Tier Time: 1 hour and 30 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used.

1 For Edexcel Name GCSE Mathematics Paper 2F (Calculator) Foundation Tier Time: 1 hour and 30 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used. Instructions and Information for Candidates Write your name in the box at the top of the page. Answer all the questions in the spaces provided in this question paper. The marks for each question and for each part of a question are shown in brackets. The total number of marks for this paper is 100. There are 25 questions in this paper. Calculators may be used. If your calculator does not have a π button, take the value of π to be unless the question instructs otherwise. Advice to Candidates Show all stages in any calculation. Work steadily through the paper. Do not spend too long on one question. If you cannot answer a question, leave it and attempt the next one. Return at the end to those you have left out. Written by Shaun Armstrong Only to be copied for use in the purchaser's school or college EF2F Page 1

2 GCSE Mathematics Formulae: Foundation Tier a Area of a trapezium = 1 (a + b)h 2 h b Volume of a prism = area of cross section length cross section length EF2F Page 2

3 Answer ALL TWENTY FIVE questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1. In each part of this question a probability scale is drawn. Use an arrow to show the probability (a) that a fair coin lands on tails when it is flipped, that it will not rain at all in Cardiff during February, (c) that there will be a general election in the UK during the next ten years (Total 3 marks) Q1 EF2F Page 3

4 Number of complaints Jan Feb Mar Apr May Jun The bar chart shows the number of complaints received by a television channel over a six-month period. (a) How many complaints were received in January? In which month were the largest number of complaints received? (c) In which month were twice as many complaints received as in February? (d) Find the range of the number of complaints received per month in this period. Q2 EF2F Page 4

5 3. (a) The diagram shows a regular polygon. (i) Write down the mathematical name of this polygon. (ii) What percentage of this polygon is shaded? % The diagram shows a shape made up of centimetre squares. (i) Find the perimeter of this shape. cm (ii) Shade 1 3 of this shape. Q3 EF2F Page 5

6 4. Here is a list of numbers From this list, write down (a) the largest number, the smallest number, (c) the two numbers with a sum of 5, and (d) the two numbers with a difference of 18, and Q4 5. Ray buys 20 tins of baked beans at Foods4U for 7.20 Wes buys 14 tins of baked beans at Quickshop for 4.90 Find out which shop sells tins of baked beans for the lowest price. You must show all your working. Q5 (Total 3 marks) EF2F Page 6

7 6. Write down the mathematical name of each of these 3-D shapes. (a) (Total 2 marks) Q6 EF2F Page 7

8 7. Here are the prices of three types of chocolate bar. Jupiter Bar Shout Bar Tiger Bar 33p 35p 30p Gemma buys 3 Jupiter Bars and 1 Tiger Bar. She pays with a 2 coin. (a) Work out how much change she gets. p Malik buys 2 Shout Bars and some Jupiter Bars. He spends 2.02 in total. Work out how many Jupiter Bars he buys. Kim buys x Tiger Bars. (c) Write down an expression for the total cost, in pence, of x Tiger Bars. (Total 5 marks) Q7 EF2F Page 8

9 8. (a) Work out Work out (c) Work out (i) Write down the full calculator display. (ii) Write your answer correct to an appropriate degree of accuracy. Q8 9. Diagram NOT accurately drawn The diagram shows an architect's model of a football stadium. The model is made using a scale of 1 cm represents 5 m. The model is 10 cm high. (a) Work out the height of the stadium. m The stadium is 320 m long. Work out the length of the model. cm Q9 EF2F Page 9

10 10. D A O C B The diagram shows a circle, centre O. Write down the mathematical name for (a) the line labelled A, the line labelled B, (c) the line labelled C, (d) the shaded region labelled D. Q10 EF2F Page 10

11 11. (a) Write down the next term in each of these sequences. (i) (ii) (iii) (3) Here are some patterns made with sticks. Pattern 1 Pattern 2 Pattern 3 Find the number of sticks in Pattern 4. (Total 5 marks) Q11 EF2F Page 11

12 12. (a) Write down a sensible metric unit you could use for measuring (i) (ii) (iii) the length of a pencil, the weight of a pencil, the height of a lampost. (3) Change 4 m 2 to cm 2. cm 2 (Total 5 marks) Q cm Diagram NOT accurately drawn 7 cm 6 cm 13 cm 5 cm 9 cm In the shape shown above, all the corners are right-angles. Work out the perimeter of the shape. cm Q13 (Total 3 marks) EF2F Page 12

13 14. Christina thinks of a number. She adds 5 to her number. She then doubles the result. Her answer is 3 times the number she first thought of. What number did Christina first think of? Q14 (Total 3 marks) 15. The table gives information about the number of wickets a bowler took in 20 games of cricket. Number of wickets Number of games (a) Write down the mode of the number of wickets the bowler took. Work out the mean number of wickets the bowler took. (3) Q15 EF2F Page 13

14 16. N A N N C B A, B and C are three houses on the edge of a lake. The bearing of a boat from A is 106. The bearing of the same boat from B is 022. (a) Mark with a cross ( ) the position of the boat on the diagram. (3) Measure and write down the bearing of the boat from C. Q16 EF2F Page 14

15 17. (a) 4 2n < 2 n is an integer. Find all the possible values of n. (3) (i) Solve 3x 5 7 (ii) Represent your answer on the number line below x (3) (Total 6 marks) Q (a) Write down the smallest prime number. Write down all the factors of 9. (c) Find the Highest Common Factor (HCF) of 20 and 35. Q18 EF2F Page 15

16 19. Tristan is entering customer details on a database. On average, it takes him 24 seconds to enter the information for each customer. One day he is given 137 customer details to enter. Work out how long it will take him to enter all these details. Give your answer in minutes, correct to the nearest minute. minutes Q19 (Total 3 marks) 20. (a) Simplify (i) 5a 3b (ii) x 2 + 2x 2 Factorise y 2 + 7y (c) Work out the value of 2p + pq when p = 7 and q = 5. (Total 5 marks) Q20 EF2F Page 16

17 21. y A B O x (a) Describe fully the single transformation that maps triangle A onto triangle B. On the grid, reflect triangle A in the x-axis. Label the image C. (c) On the grid, rotate triangle A 90 anticlockwise about the origin. Label the image D. (Total 6 marks) Q21 EF2F Page 17

18 22. Kate makes scarves. She sells each scarf for 6.40 plus VAT at %. She sells 450 scarves. Work out how much money Kate receives. Q A cattery charges a 3 booking fee and 8 per night that a cat stays. The total cost when a cat stays n nights is C pounds. Write down a formula for C in terms of n. Q23 (Total 3 marks) EF2F Page 18

19 families coming out of a supermarket were asked how much they had spent. The results are shown in the table. Amount spent ( P) Frequency 60 < P < P < P < P < P < P (a) On the grid, draw a frequency diagram to represent the data Frequency Amount spent ( P) Find the class interval in which the median lies. Q24 EF2F Page 19

20 25. (a) Diagram NOT accurately drawn 8 cm A semicircle has a diameter of 8 cm. Work out the area of the semicircle. Give your answer correct to 1 decimal place. cm 2 Diagram NOT accurately drawn 3 cm 2 cm A cylinder has base radius 2 cm and height 3 cm. Work out the volume of the cylinder. Give your answer as a multiple of π. cm 3 Q25 TOTAL FOR PAPER: 100 MARKS END EF2F Page 20

Applications of Mathematics

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Applications of Mathematics Unit 1: Applications 1 For Approved Pilot Centres ONLY Foundation Tier Wednesday