p45840a gcse maths a p2 1ma0 2h nov15

1 Centre NumberCandidate NumberWrite your name hereSurnameOther namesTotal MarksPaper ReferenceTurn over p45840a 2015 Pearson Education *P45840A0124*Mathematics APaper 2 (Calculator)Higher TierFriday 6 November 2015 MorningTime: 1 hour 45 minutes1MA0/2 HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be 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.

2 Answer all questions. Answer the questions in the spaces provided there may be more space than you need. Calculators may be used. If your calculator does not have a button, take the value of to be unless the question instructs The total mark for this paper is 100 The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed.

3 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 Edexcel GCSE2*P45840A0224*GCSE Mathematics 1ma0 Formulae: Higher TierYou must not write on this formulae you write on this formulae page will gain NO of prism = area of cross section length Area of trapezium = 12 (a + b)hVolume of sphere = 43 U3 Volume of cone = 13 U2hSurface area of sphere = 4 U2 Curved surface area of cone = UOIn any triangle ABC The Quadratic Equation The solutions of ax2 + bx + c = 0 where D 0, are given by xbbaca= ()

4 242 Sine Rule aAbBcCsinsinsin==Cosine Rule a2 = b2 + c2 2bc cos AArea of triangle = 12 ab sin ClengthsectioncrossbahrlrhCabcBA3*P45840 A0324*Turn over Answer ALL your answers in the spaces must write down all stages in your Here are the lengths, in cm, of 15 51 42 23 6338 44 29 32 3761 35 39 41 25 Draw an ordered stem and leaf diagram for these lengths. (Total for Question 1 is 3 marks)4*P45840A0424*2 A delivery driver records for each delivery the distance he drives and the time taken.

5 The scatter graph shows this (minutes)Distance (kilometres)6055504540353025201510500246 8101214161820222426 For another delivery he drives 22 kilometres and takes 50 minutes. (a) Show this information on the scatter graph.(1) (b) What type of correlation does the scatter graph show?..(1)5*P45840A0524*Turn over The driver has to drive a distance of 10 km for his next delivery. (c) Estimate the time taken for this minutes(2) During one of the deliveries, the driver was delayed by road works. (d) Using the graph write down the time taken for this minutes(1) (Total for Question 2 is 5 marks)3 Ali is y years old.

6 Bhavara is twice as old as Ali. Ceris is 3 years younger than Ali. The total of their ages is 125 years. Work out the age of each (Total for Question 3 is 4 marks)6*P45840A0624*4 There are 18500 gallons of fuel in a fuel tank. The fuel is pumped from the fuel tank into a plane at a rate of 1700 litres per minute. 1 gallon = litres. How many minutes will it take to empty the fuel tank completely? Give your answer to the nearest minutes(Total for Question 4 is 3 marks)7*P45840A0724*Turn over 5 Celina and Zoe both sing in a band.

7 One evening the band plays for 80 minutes. Celina sings for 65% of the 80 minutes. Zoe sings for 58 of the 80 minutes. Celina sings for more minutes than Zoe sings. Work out for how many more minutes. You must show all your minutes(Total for Question 5 is 4 marks)6 A rectangle has an area of 4 m2. Write this area in cm2(Total for Question 6 is 2 marks)8*P45840A0824*7 Here is part of a field. This part of the field is in the shape of a trapezium. A farmer wants to put a fence all the way around the edge of this part of the field.

8 The farmer has 50 m of fence. Does he have enough fence? You must show all your working.(Total for Question 7 is 5 marks)*10 m18 m11 mDiagram NOT accurately drawn9*P45840A0924*Turn over 8 Toothpaste is sold in three different sizes of tube. 50 mO 75 mO 125 mO A 50 mO tube costs A 75 mO tube costs A 125 mO tube costs Which tube of toothpaste is the best value for money? You must show all your working.(Total for Question 8 is 4 marks)*10*P45840A01024*9A B Use ruler and compasses to construct the perpendicular bisector of the line segment AB.

9 You must show all your construction lines.(Total for Question 9 is 2 marks)11*P45840A01124*Turn over 10 A coach travels from Dronston to Luscoe. The travel graph for this journey is shown below. (a) Work out the average speed of the coach, in kilometres per hour, for the first 10 minutes of the km/h(2) The coach stops in Luscoe for 15 minutes. The coach then returns to Dronston at a constant speed of 42 km/h. (b) Show this information on the travel graph.(3)(Total for Question 10 is 5 marks)Distance from Dronston(kilometres)30272421181512963005 101520253035404550556065707580 Time (minutes)12*P45840A01224*11 (a) Solve 3x2 = (2) (b) Work out the value of 2 (1) (c) Simplify (3x2) (2) w = 4p 16 (d) Make p the subject of this (2)(Total for Question 11 is 7 marks)13*P45840A01324*Turn over 12 Describe fully the single transformation that maps triangle A onto triangle (Total for Question 12 is 3 marks)

10 3 4 5 66xO 1 254321654321y 1 2 3 4 5 6BA14*P45840A01424*13 (a) Given that x and y are integers such that 3 < x < 7 4 < y < 9 and x + y = 13 find all the possible values of (2) (b) On the grid below show, by shading, the region defined by the inequalities y . 1 y - 4 x y - 3x 1 Mark this region with the letter R.(4)(Total for Question 13 is 6 marks)O 1 254321654321y 1 2 3 4x615*P45840A01524*Turn over 14 Each year Wenford Hospital records how long patients wait to be treated in the Accident and Emergency department.