For Edexcel Name GCSE Mathematics Paper 1B (Non-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 24 questions in this paper. Calculators must not be used. 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 EF1B Page 1
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 EF1B Page 2
Answer ALL TWENTY FOUR questions. Write your answers in the spaces provided. You must write down all the stages in your working. You must NOT use a calculator. 1. Write the number seven thousand, one hundred and five in figures. Write the number 2514 in words. (c) Write down the place value of the digit 3 in the number 67 314. (d) Write these numbers in order of size. Start with the smallest. 82 105 210 68 112 (Total 4 marks) Q1 EF1B Page 3
2. Read the measurement on each scale. 30 40 50 60 70 C C 10 20 30 40 50 cm cm (c) 40 50 60 70 30 80 20 90 10 km/h 100 0 110 km/h (Total 3 marks) Q2 EF1B Page 4
3. Zinah leaves home at 9 am and drives to her office. After picking up a colleague she then drives to a client's factory. The travel graph shows her journey. 80 70 Distance from home (km) 60 50 40 30 20 10 0 0900 0930 1000 1030 1100 Time How long did Zinah stop at her office for? How far was Zinah from home at 10.30 am? km (c) Work out Zinah's average speed in driving from home to her office. km/h (Total 4 marks) Q3 EF1B Page 5
4. Write down the mathematical name of each of these 3-D shapes. (Total 2 marks) Q4 5. Kate is selling books at a boot sale. At the start of the sale she has 83 books. She sells 55 books. How many books does Kate have left at the end of the sale? Kate sold her books at 5 for 2. How much money money did Kate get from selling her books? (Total 3 marks) Q5 EF1B Page 6
6. The incomplete pictogram shows the number of accidents reported in a town over a six month period. January February March April May June Key: represents 10 accidents Write down the number of accidents reported in the town in (i) January, (ii) March. There were 20 accidents reported in the town in May. There were 15 accidents reported in the town in June. Complete the pictogram. Q6 (Total 4 marks) EF1B Page 7
7. N N B H N A Scale: 1 cm represents 10 km A map of an island is shown. A and B are towns. H is a hill. Measure and write down the bearing of (i) B from A, (ii) A from H. Find the actual distance from A to B. km (Total 4 marks) Q7 EF1B Page 8
8. Solve (i) x + 1.2 = 3.5 x = (ii) 13 2y = 5 y = (3) w = 4u + 7 Find the value of u when w = 13. (Total 5 marks) Q8 9. Work out 10% of 24 5% of 24 (c) 15% of 24 (Total 4 marks) Q9 EF1B Page 9
10. The table shows the languages that are spoken by a group of five friends. English Urdu French German Spanish Anam Ben Carl Danish Edie How many languages does Danish speak? Which of the five friends can speak German? One of this group of friends is chosen at random. (c) Write down the probability that the person chosen speaks (i) Spanish, (ii) French, (iii) English. (3) (Total 5 marks) Q10 EF1B Page 10
11. Simplify a + 2a + 3a p p p (c) 3n 4n (Total 3 marks) Q11 12. Write numbers in the boxes to make each pair of fractions equivalent. (i) 12 = 1 4 (ii) 9 15 = 5 Work out 1 5 of 20 (c) Work out 3 4 1 6 (Total 5 marks) Q12 EF1B Page 11
13. Diagram NOT accurately drawn 40 cm 60 cm A work of art consists of 18 square tiles stuck onto a rectangular coloured canvas. Each tile has a side length of 5 cm. The canvas measures 40 cm by 60 cm. Work out the shaded area of the canvas which is not covered by tiles. State the units of your answer. Q13 (Total 4 marks) EF1B Page 12
14. This formula is used to work out the time allowed on mental arithmetic tests. Time in minutes = Number of questions 4 Ms. Jacobs gives her class a mental arithmetic test with 20 questions. Work out how long the test lasts. Mr. Giles gives his class a mental arithmetic test lasting 12 minutes. minutes Work out how many questions are in the test. A mental arithmetic test with n questions lasts t minutes. (c) Write down a formula for t in terms of n. (Total 4 marks) Q14 EF1B Page 13
15. Diagram NOT accurately drawn Q y P R 78 x S The lines PQ and RS are parallel. (i) Find the value of x. (ii) Give a reason for your answer. (i) Find the value of y. (ii) Give a reason for your answer. (Total 4 marks) Q15 EF1B Page 14
16. Work out 129 + 65 105 7 (c) 368 42 (3) (Total 5 marks) Q16 EF1B Page 15
17. The first term of a sequence is 8. The rule for continuing the sequence is multiply by 2 and then subtract 7 Find the second and third terms of this sequence. second term = third term = The ninth term of this sequence is 263. Find the eighth term of this sequence. eighth term = (Total 4 marks) Q17 EF1B Page 16
18. A straight line has the equation y = 2x + 3. Write down the gradient of the line. Write down the coordinates of the point where the line crosses the y-axis. (, ) (c) Write down the equation of another straight line which is parallel to y = 2x + 3. (Total 3 marks) Q18 19. Ian wants to investigate how other children like to find out information. He emails all his friends with this question. Do you agree that the internet is much better than a book for finding stuff out? Write down two reasons why this is not a good way for Ian to carry out his investigation. First reason.. Second reason.. Q19 (Total 2 marks) EF1B Page 17
20. Diagram NOT accurately drawn 4 cm 5 cm 3 cm The diagram shows a right-angled triangle. (i) Work out the perimeter of the triangle. cm (ii) Work out the area of the triangle. cm 2 (3) The triangle is enlarged by a scale factor of 2. How many times bigger is the perimeter of the enlarged triangle than the perimeter of the triangle above? (c) How many times bigger is the area of the enlarged triangle than the area of the triangle above? (Total 6 marks) Q20 EF1B Page 18
21. The table gives information about the number of televisions in 20 houses. Number of televisions Number of houses 0 1 1 2 2 6 3 8 4 3 Work out the mean number of televisions in these houses. Q21 (Total 3 marks) EF1B Page 19
22. A computer game says that Vicky's brain is x years old. The game says that Shaun's brain is 5 years older than Vicky's brain. Write an expression for the age of Shaun's brain in terms of x. The game says that Jack's brain is twice as old as Vicky's brain. Write an expression for the age of Jack's brain in terms of x. years The game says that Jack's brain is 52 years old. years (c) Find the age of Shaun's brain. years (Total 4 marks) Q22 EF1B Page 20
23. y 6 A 5 4 3 2 6 5 4 3 2 1 1 O 1 2 D 1 2 3 4 5 x On the grid, reflect triangle A in the y-axis. Label this triangle B. On the grid, rotate triangle A by 90 anticlockwise about O. Label this triangle C. (c) Describe fully the single transformation that maps triangle A onto triangle D. (Total 6 marks) Q23 EF1B Page 21
24. Simon wants to borrow 5000. To repay the loan he can make 36 monthly payments of 150. (i) Work out the total amount that Simon has to pay for the loan. (ii) Work out the total amount of interest that he pays. (iii) Work out the interest as a percentage of the loan amount. Simon could also choose to repay the loan with 60 monthly payments. He would then pay a total of 5760. % (6) Work out how much he would have to pay each month. (3) (Total 9 marks) Q24 TOTAL FOR PAPER: 100 MARKS END EF1B Page 22