Pearson Edexcel Level 1/Level 2 GCSE (9 − 1) Mathematics Paper 1 (Non-calculator) Common questions: Foundation/Higher tier Specimen Paper Set 1 Paper Reference 1MA1/1F - 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 must 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. 1 Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 20/1 The diagram shows a right-angled triangle. All the angles are in degrees. Work out the size of the smallest angle of the triangle. .........................................° (Total for Question 20 is 3 marks) ___________________________________________________________________________ 2 21/2 A box exerts a force of 140 newtons on a table. The pressure on the table is 35 newtons/m2. F A p= pressure P Calculate the area of the box that is in contact with the table. F = force A = area ......................................... (Total for Question 21 is 3 marks) ___________________________________________________________________________ 22/3 There are only red counters, blue counters, green counters and yellow counters in a bag. The table shows the probabilities of picking at random a red counter and picking at random a yellow counter. Colour red Probability 0.24 blue green yellow 0.32 The probability of picking a blue counter is the same as the probability of picking a green counter. Complete the table. (Total for Question 22 is 2 marks) ___________________________________________________________________________ 3 23/4 A pattern is made using identical rectangular tiles. Find the total area of the pattern. ......................................... cm2 (Total for Question 23 is 4 marks) ___________________________________________________________________________ 4 24/5 The diagram shows a sand pit. The sand pit is in the shape of a cuboid. Sally wants to fill the sand pit with sand. A bag of sand costs £2.50. There are 8 litres of sand in each bag. Sally says, “The sand will cost less than £70.” Show that Sally is wrong. (Total for Question 24 is 5 marks) ___________________________________________________________________________ 5 25/6 Four friends each throw a biased coin a number of times. The table shows the number of heads and the number of tails each friend got. Ben Helen Paul Sharif heads 34 66 80 120 tails 8 12 40 40 The coin is to be thrown one more time. (a) Which of the four friends’ results will give the best estimate for the probability that the coin will land heads? Justify your answer. ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (1) Paul says, “With this coin you are twice as likely to get heads as to get tails.” (b) Is Paul correct? Justify your answer. ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (2) The coin is to be thrown twice. (c) Use all the results in the table to work out an estimate for the probability that the coin will land heads both times. ......................................... (2) (Total for Question 25 is 5 marks) ___________________________________________________________________________ 6 26/7 (a) Write down the exact value of cos30° ......................................... (1) (b) Given that sin30° = 0.5, work out the value of x. ......................................... (2) (Total for Question 26 is 3 marks) 7 Question 20/1 21/2 Answer Notes 42 P1 P1 A1 process to start problem solving eg forms an appropriate equation complete process to solve equation cao 4 m2 C1 substitution into formula eg 35 A1 C1 4 (oe) stated (indep) units stated eg m2 140 A 22/3 0.22 P1 A1 begins process of subtraction of probabilities from 1 oe 23/4 48 P1 C1 P1 A1 begins to work with rectangle dimensions eg l+w=7 or 2×l+w (=11) shows a result for a dimension eg using l=4 or w=3 begins process of finding total area eg 4 × “3” × “4” cao M1 M1 M1 M1 C1 works with volume eg 240000 uses conversion 1 litre = 1000 cm3 uses 8000 eg vol ÷ 8000 (=30) uses “30” eg “30” × 2.50 for explanation and 75 stated explanation 24/5 OR 25/6 (a) (b) (c) M1 M1 M1 M1 C1 begins working back eg 70÷2.50 uses conversion 1 litre = 1000 cm3 uses 8000 eg “28”× 8000 (=224000) works with vol. eg 224000 for explanation with 240000 and 224000 Sharif Decision (supported) B1 P1 A1 9 16 P1 Sharif with mention of greatest total throws starts working with proportions Conclusion: correct for Paul, but not for the rest; or ref to just Paul’s results selects Sharif or overall and multiplies P(heads)×P(heads) eg ¾ × ¾ oe A1 26/7 (a) (b) 3 2 B1 6 M1 starts process eg sin 30 A1 answer given x 12 8
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