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0580 w13 qp_11
1.
READ THESE INSTRUCTIONS
FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. If working is needed for any question it must be shown below that question. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 56. MATHEMATICS 0580/11 Paper 1 (Core) October/November 2013 1 hour Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Tracing paper (optional) UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education This document consists of 10 printed pages and 2 blank pages. [Turn over IB13 11_0580_11/2RP © UCLES 2013 *1288077579*
2.
2 0580/11/O/N/13© UCLES 2013 For Examiner′s Use 1
Write in figures the number one hundred and twenty one thousand and forty two. Answer ............................................... [1] _____________________________________________________________________________________ 2 Write down the number of centimetres in 2 2 1 metres. Answer ......................................... cm [1] _____________________________________________________________________________________ 3 Work out 72 cents as a percentage of 83 cents. Answer ........................................... % [1] _____________________________________________________________________________________ 4 There were 41524 people at a football match. (a) Write 41524 correct to the nearest thousand. Answer(a) ............................................... [1] (b) One quarter of the 41524 people left before the end of the game. Find the number of people who left before the end of the game. Answer(b) ............................................... [1] _____________________________________________________________________________________ 5 (a) Write down the order of rotational symmetry of this shape. Answer(a) ............................................... [1] (b) Draw the lines of symmetry on this shape. [1] _____________________________________________________________________________________
3.
3 0580/11/O/N/13© UCLES 2013
[Turn over For Examiner′s Use 6 y x 5 4 3 2 1 –1 –2 0–1 1 2 3 4 5–2–3 A (a) Write down the co-ordinates of point A. Answer(a) (...................... , ......................) [1] (b) On the grid, plot the point (–1, 3). [1] _____________________________________________________________________________________ 7 Simplify the following expression. 5a – 3b – 2a – b Answer ............................................... [2] _____________________________________________________________________________________ 8 Calculate . . . . 4 89 4 07 5 27 0 93 - - . Give your answer correct to 4 significant figures. Answer ............................................... [2] _____________________________________________________________________________________
4.
4 0580/11/O/N/13© UCLES 2013 For Examiner′s Use 9 55°
p° NOT TO SCALE Find the value of p. Answer p = ............................................... [2] _____________________________________________________________________________________ 10 Calculate 17.5% of 44kg. Answer .......................................... kg [2] _____________________________________________________________________________________ 11 Find the value of (a) 94 , Answer(a) ............................................... [1] (b) 60 . Answer(b) ............................................... [1] _____________________________________________________________________________________
5.
5 0580/11/O/N/13© UCLES 2013
[Turn over For Examiner′s Use 12 Solve the equation. 5 – 2x = 3x – 19 Answer x = ............................................... [2] _____________________________________________________________________________________ 13 Yim knows one angle of an isosceles triangle is 48°. He says one of the other angles must be 66°. Explain why Yim is wrong. Answer .............................................................................................................................................. ........................................................................................................................................................... [2] _____________________________________________________________________________________ 14 S P A C E S One of the 6 letters is taken at random. (a) Write down the probability that the letter is S. Answer(a) ............................................... [1] (b) The letter is replaced and again a letter is taken at random. This is repeated 600 times. How many times would you expect the letter to be S? Answer(b) ............................................... [1] _____________________________________________________________________________________
6.
6 0580/11/O/N/13© UCLES 2013 For Examiner′s Use 15
The length, pcm, of a car is 440cm, correct to the nearest 10cm. Complete the statement about p. Answer ....................... Ğ p < ....................... [2] _____________________________________________________________________________________ 16 8 15 7 8 7 15 4 13 4 3 10 2 9 4 5 (a) Write down the mode. Answer(a) ............................................... [1] (b) Work out the median. Answer(b) ............................................... [2] _____________________________________________________________________________________ 17 Bruce invested $800 at a rate of 3% per year simple interest. Calculate the total amount he has after 6 years. Answer $ ............................................... [3] _____________________________________________________________________________________
7.
7 0580/11/O/N/13© UCLES 2013
[Turn over For Examiner′s Use 18 A P B C (a) On the diagram above, draw a line perpendicular to the line AB, through the point P. [1] (b) Using a straight edge and compasses only, construct the locus of points that are equidistant from A and from C. [2] _____________________________________________________________________________________
8.
8 0580/11/O/N/13© UCLES 2013 For Examiner′s Use 19
The diagram shows a ladder of length 8m leaning against a vertical wall. 56° 8m NOT TO SCALE h Use trigonometry to calculate h. Give your answer correct to 2 significant figures. Answer h = ............................................ m [3] _____________________________________________________________________________________ 20 a = 4 3 e o b = 2 0 - e o c = 5- 1 e o Find (a) 4a, Answer(a) f p [2] (b) b – c. Answer(b) f p [2] _____________________________________________________________________________________
9.
9 0580/11/O/N/13© UCLES 2013
[Turn over For Examiner′s Use 21 Do not use a calculator in this question and show all the steps of your working. Give each answer as a fraction in its lowest terms. Work out. (a) 4 3 – 12 1 Answer(a) ............................................... [2] (b) 2 2 1 × 25 4 Answer(b) ............................................... [2] _____________________________________________________________________________________ 22 (a) Factorise completely. 6ab – 24bc Answer(a) ............................................... [2] (b) Rearrange the following formula to make m the subject. j = n m – k Answer(b) m = ............................................... [2] _____________________________________________________________________________________
10.
10 0580/11/O/N/13© UCLES 2013 For Examiner′s Use 23
(a) Here are the first four terms of a sequence. 27 23 19 15 (i) Write down the next term in the sequence. Answer(a)(i) ............................................... [1] (ii) Explain how you worked out your answer to part (a)(i). Answer(a)(ii) ..................................................................................................................... [1] (b) The nth term of a different sequence is 4n – 2 . Write down the first three terms of this sequence. Answer(b) ................. , ................. , ................. [1] (c) Here are the first four terms of another sequence. –1 2 5 8 Write down the nth term of this sequence. Answer(c) ............................................... [2] _____________________________________________________________________________________
11.
11 BLANK PAGE 0580/11/O/N/13© UCLES
2013
12.
12 0580/11/O/N/13 Permission to reproduce
items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included the publisher will be pleased to make amends at the earliest possible opportunity. University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. BLANK PAGE © UCLES 2013
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