Page 1 Mathematics A Paper 2 (Calculator) Higher Tier PiXL Live Mock Paper Time: 1hour 45 minutes 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 be used. If your calculator does not have a button, take the value of to be 3.142 unless the question instructs otherwise. Information 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. 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.
28
Embed
Higher paper 2 - Maths Tallismathstallis.weebly.com/uploads/1/4/8/3/14836922/higher_paper_2.pdf · Mathematics A Paper 2 (Calculator) ... Answer the questions in the spaces provided
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1
Mathematics A Paper 2 (Calculator) Higher Tier PiXL Live Mock Paper Time: 1hour 45 minutes
Higher TierWednesday 13 June 2012 – MorningTime: 1 hour 45 minutes 1MA0/2HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
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 be used. If your calculator does not have a ! button, take the value of ! to be
3.142 unless the question instructs otherwise.
Information 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.
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.
Page 2 2
*P40647A0224*
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 = 12
(a + b)h
Volume of sphere = 43!" 3 Volume of cone = 1
3!" 2h
Surface area of sphere = 4!" 2 Curved surface area of cone = !"#
In any triangle ABC The Quadratic Equation The solutions of ax2 + bx + c = 0
Q11. Barbara goes on holiday to Prague. The currency in Prague is the Koruna (KC).
This graph can be used to convert between £ (pounds) and KC (Koruna). The exchange rate is £1 = 30 KC.
Barbara bought some things in London. She saw the same things on sale in Prague.
The table shows the cost in £ (pounds) and the cost in KC (Koruna).
Cost in London £ (pounds) Cost in Prague KC (Koruna)
Item
Headphones £15 450 KC
Suitcase £34 750 KC
Music player £26 810 KC
Barbara thinks the total cost of these things was more in London than in Prague.
Is she correct? Give a reason for your answer. You must show all your working.
(Total 5 marks)
Page 14
Q12. –2 < n ≤ 4 n is an integer.
(a) Write down all the possible values of n.
......................................... (2)
(b) Solve the inequality 6x – 3 < 9
................................ (2)
(Total 4 marks)
Page 15
Q13. The equation
x3 + 20x = 71
has a solution between 2 and 3
Use a trial and improvement method to find this solution. Give your answer correct to one decimal place. You must show ALL your working.
x = ......................... (Total 4 marks)
Page 16
Q14. The probability that a seed will grow into a flower is 0.85. Loren plants 800 seeds.
Work out an estimate for the number of these seeds that will grow into flowers.
................................. (Total 2 marks)
Page 17
Q15. The table shows information about the number of hours that 120 children used a computer last week.
Number of hours Frequency
0 < h ≤ 2 10
2 < h ≤ 4 15
4 < h ≤ 6 30
6 < h ≤ 8 35
8 < h ≤ 10 25
10 < h ≤ 12 5
Work out an estimate for the mean number of hours that the children used a computer. Give your answer to 2 decimal places.
..................................... cm (Total 4 marks)
Page 18
Q16. The length of a rectangle is 30cm, correct to 2 significant figures.
The width of a rectangle is 18cm, correct to 2 significant figures.
(a) Write down the upper bound of the width.
…………………………………
(1)
(b) Calculate the upper bound for the area of the rectangle
……………………………………….
(2)
(Total 3 marks)
Page 19
Q17. Diagram NOT
accurately drawn
The diagram represents a vertical pole ACD. AB is horizontal ground. BC is a wire of length 8.5 metres. The height of the pole AD is 9 metres. For the pole to be correctly installed, the length DC has to be at least 1 metre. Show that the pole has been correctly installed.