# Advantages and Disadvantages of Private Tuition

Topics: University of Cambridge, 1958, 1962 Pages: 15 (2097 words) Published: September 13, 2013
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

* 0 2 1 5 8 3 0 0 9 3 *

MATHEMATICS (SYLLABUS D) Paper 1 Candidates answer on the Question Paper. Additional Materials: Geometrical instruments

4024/12
May/June 2013 2 hours

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 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

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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]

© UCLES 2013

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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�

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[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]

© UCLES 2013

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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, y < 1 and y < 4 – 2x

(b) y > 1, y < x – 2 and y < 5 – x

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

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

© UCLES 2013

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5 6 The diagram shows triangle A�
y 7 6 5 4 A 3 2 1 –7 –6 –5 –4 –3 –2 –1 0 –1 –2 –3 –4 1 2 3 4 5 6 7 x For Examiner’s Use

(a) Reflect triangle A in the line x = 1� Label the image B� (b) Rotate triangle A through 90° clockwise about the point (–1, 3)� Label the image C�

[1] [1]

© UCLES 2013

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6 7 The diagram shows a scale used to measure the water level in a river� For Examiner’s Use

m 2.0 1.5 1.0 0.5 0 –0.5 –1.0 –1.5 –2.0 –2.5

June

The table shows the reading, in metres, at the beginning of each month� Month Reading (m) January 0�8 February 1�2 March 1�3 April 0�5 May –0�1 June July –1�9

(a) The diagram shows the water level at the beginning of June� Complete the table with the June reading� (b) Work out the difference between the highest and lowest levels 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�

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

© UCLES 2013

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7 8 (a) James thinks of a two-digit number� It is a cube...

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