Mathematics Paper 1 (Non-calculator) Common questions: Foundation/Higher tier

Transcription

1 Pearson Edexcel Level 1/Level 2 GCSE (9 1) Mathematics Paper 1 (Non-calculator) Common questions: Foundation/Higher tier Sample Assessment Materials Issue 2 Paper Reference 1M/1F - 1H You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. 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 not be used. Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out. Information The total mark for this paper is 80. The marks for each question are shown in brackets. use this as a guide as to how much time to spend on each question. 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. Answer ALL questions. Write your answers in the spaces provided.

2 You must write down all the stages in your working. 21/1 Work out (Total for Question 21 is 3 marks) 22/2 Expand and simplify (m + 7)(m + 3). (Total for Question 22 is 2 marks) 2

3 23/3 AE, DBG and CF are parallel. DA = DB = DC. Angle EAB = angle BCF = 38 Work out the size of the angle marked x. You must show your working... (Total for Question 23 is 3 marks) 3

4 24/4 Gary drove from London to Sheffield. It took him 3 hours at an average speed of 80 km/h. Lyn drove from London to Sheffield. She took 5 hours. Assuming that Lyn drove along the same roads as Gary and did not take a break, (a) work out Lyn s average speed from London to Sheffield. (a) If Lyn did not drive along the same roads as Gary, explain how this could affect your answer to part (a)..km/h (3) (1) (Total for Question 24 is 4 marks) 4

5 25/5 In a company, the ratio of the number of men to the number of women is 3 : 2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25?..% (Total for Question 25 is 4 marks) 5

6 26/6 The plan, front elevation and side elevation of a solid prism are drawn on a centimetre grid. In the space below, draw a sketch of the solid prism. Write the dimensions of the prism on your sketch. (Total for Question 26 is 2 marks) 6

7 27/7 There are 1200 students at a school. Kate is helping to organise a party. She is going to order a pizza. Kate takes a sample of 60 of the students at the school. She asks each student to tell her one type of pizza they want. The table shows information about her results. Pizza Number of students ham 20 salami 15 vegetarian 8 margherita 17 Work out how much ham pizza Kate should order. Write down any assumption you make and explain how this could affect your answer... (Total for Question 27 is 3 marks) 7

8 28/8 Here is a parallelogram. Work out the value of x and the value of y. x = y =. (Total for Question 28 is 5 marks) 8

9 Question Answer AO Notes 21/ M1 for correct method (condone one error) for digits ft (dep M1) for correct placement of decimal point 22/2 m m + 21 M1 for at least 3 terms out of a maximum of 4 correct from expansion 23/3 152 M1 Start to method ABD = 38 and BAD or DBC or DCB = 38 M1 ADB or BDC = (= 104) for 152 with working 24/4 (a) 48 P1 start to process e.g (= 240) P (b) C1 e.g. she may drive a different distance and therefore her average speed could be different 25/5 28 P1 Process to start to solve problem e.g or divide any number in the ratio 3:2 P1 Second step in process to solve problem eg. or find number of males/females under 25 for candidate s chosen number P1 for complete process 26/6 Correct sketch C1 interprets diagram, e.g. draw a solid shape with at least two correct dimensions C1 draws correct prism with all necessary dimensions. 27/7 400 P1 Start to process, e.g oe (accept number of whole pizzas, e.g = 100 with 4 people per pizza) C1 E.g. Assumption that sample is representative of population it may not be all 1200 people are going to the party need less pizza if they don t, assume 4 people per pizza if different may need more/fewer pizzas 9

10 Question Answer AO Notes 28/8 x = 21, y = 50 P1 process to start solving problem, e.g. form an appropriate equation P1 complete process to isolate terms in x for x = 21 P1 complete process to find second variable 10