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Paper 2 (Calculator) Higher Tier
Monday 4 March 2013 – Morning Time: 1 hour 45 minutes
You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
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 be used. If your calculator does not have a button, take the value of to be 3.142 unless the question instructs otherwise.
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.
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. Turn over
©2013 Pearson Education Ltd.
GCSE Mathematics 1MA0 Formulae: Higher Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit.
Volume of prism = area of cross section × length
Area of trapezium =
1 (a + b)h 2
Volume of sphere =
4 3 U 3
Volume of cone =
1 2 Uh 3
Surface area of sphere = 4 U 2 r
Curved surface area of cone = UO
In any triangle ABC C b A c a B
The Quadratic Equation The solutions of ax2 + bx + c = 0 where D 0, are given by x= −b ± (b 2 − 4ac) 2a
a b c = = sin A sin B sin C
Cosine Rule a2 = b2 + c 2 – 2bc cos A Area of triangle = 1 ab sin C 2
Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. 1 Here are the ages, in years, of 15 students. 19 33 42 18 21 18 20 17 23 25 29 37 37 20 22
Show this information in an ordered stem and leaf diagram.
(Total for Question 1 is 3 marks)
225 grams of flour are needed to make 9 cakes. Marian wants to make 20 of these cakes. She has 475 grams of flour. Does Marian have enough flour to make 20 cakes? You must show all your working.
(Total for Question 2 is 3 marks)
Simon went for a cycle ride. He left home at 2 pm. The travel graph represents part of Simon’s cycle ride. 22 20 18 16 14 Distance from home (km) 12 10 8 6 4 2 0 2 pm 3 pm 4 pm 5 pm Time At 3 pm Simon stopped for a rest. (a) How many minutes did he rest? ..............................................
(1) (b) How far was Simon from home at 5 pm?
(1) At 5 pm Simon stopped for 30 minutes. Then he cycled home at a steady speed. It took him 1 hour 30 minutes to get home. (c) Complete the travel graph. (2) (Total for Question 3 is 4 marks)
Here is a four sided spinner. The spinner is biased.
The table shows the probabilities that the spinner will land on 1 or on 3 Number Probability 1 0.2 2 3 0.1 4
The probability that the spinner will land on 2 is the same as the probability that the spinner will land on 4 (a) Work out the probability that the spinner will land on 4
(3) Shunya is going to spin the spinner 200 times. (b) Work out an estimate for the number of times the spinner will land on 3
(2) (Total for Question 4 is 5 marks)
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