UNIVERSITY OR COLLEGE OF CAMBRIDGE INTERNATIONAL EXAMS General License of Education Ordinary Level

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MATHEMATICS (SYLLABUS D) Daily news 1 Applicants answer for the Question Daily news. Additional Components: Geometrical instruments

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May/June 2013 2 hours

GO THROUGH THESE GUIDELINES FIRST Compose your Hub number, prospect number and name in all the work you hand in. Publish in darker blue or black dog pen. You may make use of a pencil for almost any diagrams or perhaps graphs. Do not use worn, paper clips, highlighters, stuff or correction fluid. TEND NOT TO WRITE IN ANY BARCODES.

Answer all questions. If working is needed for any question it must be shown in the space below that question. Omission of essential working will result in loss of marks. ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER.

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 80.

This document consists of 20 printed pages.

DC (SLM/SW) 64206/2 UCLES 2013

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2 ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER. 1 Evaluate (a) 4 2 ” , 7 5 For Examiner’s Use

(b) 5 2 ‘ � 8 3

Answer

�������������������������������������������� [1]

2

Answer �������������������������������������������� [1] A bag contains red counters and blue counters� On each counter there is either an odd or an even number� The table shows the number of counters of each type� Odd Red Blue 6 5 Even 9 3

(a) Find the fraction of the counters that are blue�

(b) Find the ratio of odd to even numbers�

Answer �������������������������������������������� [1]

Answer ������������������� : �������������������� [1]

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3 3 (a) Write these lengths in order of size, starting with the shortest� 500 m 5 cm 50 km 500 mm For Examiner’s Use

Answer ������������������������ shortest (b) Convert 41�6 cm2 to mm2�

������������������������

������������������������

������������������������

[1]

4 A line has equation 3y = 2 ” x � (a) Find the gradient of the line�

Answer ����������������������������������� mm2 [1]

(b) The line passes through the point (5, k)� Find the value of k�

Answer �������������������������������������������� [1]

Answer k = �������������������������������������� [1]

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4 5 The diagram shows the regions A to I�

y 5 4 3 2 1 0 A B D F 1 G 2 3 E H 4 I 5 x C

For Examiner’s Use

Give the letter of the region defined by each set of inequalities� (a) x >0, y >0, con < 1 and y < 4 " 2x

(b) y >1, con < x " 2 and y < your five " times

Answer �������������������������������������������� [1]

Response �������������������������������������������� [1]

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a few 6 The diagram displays triangle A�

sumado a 7 6th 5 four A a few 2 1 “7 “6 “5 “4 “3 “2 “1 0 “1 “2 “3 “4 1 two 3 some 5 6th 7 back button For Examiner’s Use

(a) Reflect triangular A in the line x = 1� Label the image B� (b) Rotate

triangle A through 90 clockwise about the point (“1, 3)� Labeled the image C�

[1] [1]

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6 several The diagram shows a scale utilized to measure the level in a river� For Examiner’s Use

meters 2 . zero 1 . five 1 . 0 0. a few 0 “0. 5 “1. 0 “1. 5 “2. 0 “2. 5

06

The desk shows the reading, in metres, at the outset of each month� Month Examining (m) January 0�8 February 1�2 March 1�3 Apr 0�5 May well “0�1 June July “1�9

(a) The diagram shows the water level at the beginning of June� Complete the table with all the June reading� (b) Lift weights the difference involving the highest and lowest amounts shown in the table� [1]

Answer ����������������������������������������m [1] (c) The August reading was 0�4 m higher than the July reading� Work out the reading in August�

Response ����������������������������������������m [1]

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7 8 (a) James thinks of a two-digit number� This can be a cube number� It is an

even number� What is his number? Intended for Examiner’s Work with

(b) Omar thinks of any two-digit number� It is a aspect of 78� It is a prime number� What is his number?

Answer �������������������������������������������� [1]

(c) Write down a great irrational number between one particular and 2�

Answer �������������������������������������������� [1]

being unfaithful

Answer �������������������������������������������� [1] (a) Write 0�004 075 one particular correct to two significant figures�

(b) 131 lies between two successive integers� Total the inequality below with these integers�

Answer �������������������������������������������� [1]

Solution ������������ you 131 you ������������� [1] (c) Add brackets for the statement beneath to make this correct�

several × a couple of + you 2 = 49

[1]

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8 12  sama dengan one particular, 2, 3, 4, your five, 6, six, 8, on the lookout for, 10 A = strange numbers B sama dengan many of

3 (a) Complete the Venn diagram to demonstrate this information� For Examiner’s Use

A

B

[1] (b) Locate the value of and (A B)�

(c) List the portions of the arranged A B9�

Answer �������������������������������������������� [1]

eleven

Answer �������������������������������������������� [1] A photograph is 10 cm long� It is enlarged so that every dimensions happen to be increased simply by 20%� (a) Find the size of the enlarged photo�

Answer �������������������������������������� centimeter [1] (b) Find precisely the area from the enlarged image to the part of the original photo� Give your solution in the kind k: 1�

UCLES 2013 4024/12/M/J/13

Answer �����������������������������������: 1 [2]

on the lookout for 12 The diagram below shows triangle ABC� (a) Construct the perpendicular bisector of AB� (b) Shade the region inside triangle made up of points which can be closer to A than to B and more than 6 cm by C� [1] [2] Intended for Examiner’s Work with

A

N

C

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10 13 A=e 2 3 o -2 0 B=e -2 -3 4 to 1

For Examiner’s Use

(a) Find A ” B �

(b) Find A”1 �

Answer





[1]

Answer





[2]

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14 14 (a) Sofia gets $7�60 for each hour she works� She starts work on 7�45 a�m� and completes at 4�30 p�m� Your woman stops work for half an hour intended for lunch� Just how much does the lady earn of waking time? For Examiner’s Use

(b) Marlon earns $1500 every month� He pays rent of $525 each month�

Answer $ ������������������������������������������ [2]

Find the total amount he pays in lease as a percentage of his earnings�

Response ����������������������������������������% [1]

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12 15 P is definitely directly proportionate to the sq of Q� When L = on the lookout for, Q sama dengan 6� (a) Find the formula for P when it comes to Q� To get Examiner’s Employ

(b) Locate the values of Q when P = 25�

Answer P= �������������������������������������� [1]

16 (a) Evaluate 4″2 �

Response Q=�������������� or perhaps ������������������ [2]

(b) Make simpler

Answer �������������������������������������������� [1]

electronic

9xy o � x3y2

6

1 2

Answer �������������������������������������������� [2]

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13 seventeen

45 45 several 2

For Examiner’s Use

The diagram reveals part of an earring� It can be in the form of a sector of a group of friends of radius 3 cm and viewpoint 45, that a sector of radius 2 cm and position 45 continues to be removed� (a) Calculate the shaded area� Give your answer in the kind aπ, in which aand b are integers and as small as possible� n

(b) The earring is usually cut coming from a piece of silver� The mass of 1 cm2 of the metallic sheet is usually 1�6 g�

Answer �������������������������������������cm2 [2]

By taking the value of π to be 3, estimate the mass from the earring�

Solution ����������������������������������������� g [1]

UCLES 2013

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14 18 The table displays information about the annual coffee production of several countries in 2010� Region Brazil Vietnam Colombia Philippines For Examiner’s Use

Volume of bags each year 1 . 85 × 107 9. 2 × 106

almost 8. 5 × 106

(a) In 2010, Brazil produced twenty four million luggage of coffee� Complete the table with the coffee creation for Brazil, using regular form� (b) How a lot more bags of coffee were produced in Vietnam than in Republic of colombia? [1]

(c) The mass of a tote of caffeine is sixty kg�

Answer

�������������������������������������������� [2]

Work out the amount of kilograms of coffee manufactured in Indonesia� Provide a answer in standard form�

Answer

��������������������������������������� kg [1]

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15 19 (a) Keith records the number of albhabets he receives each day for 20 days� His answers are shown inside the table� Volume of letters zero 1 a couple of 3 5 5 (i) Write down the mode� (ii) Work out the mean� Solution �������������������������������������������� [1] Frequency 5 6 several 2 you 4 For Examiner’s Use

Answer �������������������������������������������� [2] (b) Over the same 20 times, Emma received a mean of 1�7 characters each day� How various letters performed Emma receive altogether?

Solution �������������������������������������������� [1]

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16 20 (a) Resolve 3x 2x ” one particular + sama dengan 3� four 2

For Examiner’s Use

(b) Write as being a single small fraction in its simplest form five 2 . & x+4 x-1

Answer times = �������������������������������������� [2]

Answer �������������������������������������������� [2]

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18 21 A group of 80 learners took a Physics test� This table shows the distribution of their marks� Indicate (m) Frequency 0 you m G 10 twelve 1 m G 20 20 you m G 30 40 1 m G 40 40 one particular m G 50 40 1 meters G sixty 4 doze 14 twenty two 18 10 For Examiner’s Use

(a) Complete the cumulative frequency table� Draw (m) Total frequency [1] (b) Attract a total frequency contour for this information� 80 70 60 40 Cumulative consistency 40 40 20 twelve 0 zero 10 20 30 Tag 40 55 60

m G 15

m G 20

m G 35

m G 40

meters G 40

m G 60

[2]

(c) The pass draw for the test is 45� Use your cumulative rate of recurrence curve to estimate the amount of students whom passed�

Solution �������������������������������������������� [2]

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18 22 Varun leaves home by 13 00 and periods 12 km to college� The distance-time graph beneath shows Varun’s journey� His sister Kiran leaves college at 13 10 and cycles house on the same highway at a continuing speed of 16 km/h� (a) About the same grid, pull the distance-time graph pertaining to Kiran’s journey� College doze 10 almost 8 Distance from your own home (km) 6th 4 two Home 0 13 00 13 10 13 20 13 35 Time of day 13 40 13 50 16 00 Pertaining to Examiner’s Make use of

[2]

(b) How far was Kiran from your own home when the girl passed Varun? Answer (c) Find Varun’s speed intended for the first 20 moments of his journey� Give you a answer in

kms per hour� ��������������������������������������km [1]

Answer �����������������������������������km/h [1] (d) On the grid below, pull the speed-time graph intended for Varun’s journey� 25 twenty Speed 15 (km/h) twelve 5 0 13 00 13 10 13 20 13 35 Time of day 13 40 13 50 14 00

[2]

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19 23

B 68 O

For Examiner’s Use

C

A

M

B, C and Care points around the circle, middle O� BA and AG are tangents to the group at B and D� (a) Display that triangles ABO and ADO happen to be congruent�

��������������������������������������������������������������������������������������������������������������������������������������������������� ��������������������������������������������������������������������������������������������������������������������������������������������������� ��������������������������������������������������������������������������������������������������������������������������������������������������� ��������������������������������������������������������������������������������������������������������������������������������������������������� ���������������������������������������������������������������������������������������������������������������������������������������������������

���������������������������������������������������������������������������������������������������������������������������������������������� [3] (b) What type of exceptional quadrilateral is ABOD? (c) Angle BCD = 68� Find viewpoint BAD� Answer �������������������������������������������� [1]

Answer Viewpoint BAD = ��������������������� [2]

Question 24 is imprinted on the next page.

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twenty 24 (a) Expand and simplify (t ” 5)(t + 3)�

Intended for Examiner’s Employ

(b) Factorise 64×2 ” 9y2 �

Answer �������������������������������������������� [1]

(c) Factorise 6ab ” 2a” 3a2 + 4b �

Answer �������������������������������������������� [1]

(d) (i) Publish x2 ” 6x + 3 in the form (x ” a)2 + b �

Solution �������������������������������������������� [2]

Answer �������������������������������������������� [1] (ii) Hence solve x2 ” 6x & 3 = 0 departing your solution in the type p! q �

Solution x sama dengan ��������������������������������������� [1]

Permission to reproduce things where thirdparty owned materials protected by copyright is included has been sought and cleaned where possible. Every fair effort has been made by the publisher (UCLES) to trace copyright laws holders, when any items requiring measurement have unknowingly been included, the publisher will be pleased to make make amends at the initial possible chance. University of Cambridge International Examinations can be part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Tests Syndicate (UCLES), which is itself a division of the College or university of Cambridge.

UCLES 2013

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you

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