# Importance of Mathematics in Everyday Life

**Topics:**University of Cambridge, Triangle, UCLES

**Pages:**16 (2034 words)

**Published:**August 25, 2013

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

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* 4 2 8 5 4 9 6 3 4 3 *

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

4024/12

October/November 2012 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 (NH/JG) 51680/2 © UCLES 2012

[Turn over

2 ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER. 1 (a) Evaluate 8 + 2 × 1.3 . For Examiner’s Use

Answer

..................................... [1]

(b) Express 0.06 as a fraction, giving your answer in its lowest terms.

Answer 2 (a) Evaluate

2 1 +2 . 3 4

..................................... [1]

Answer (b) Evaluate 30 + 31 .

..................................... [1]

Answer

..................................... [1]

© UCLES 2012

4024/12/O/N/12

3 3 The diagram shows an L-shaped piece of card.

3

For Examiner’s Use

The measurements are in centimetres and all the angles are right-angles. 4 8

(a) Calculate the perimeter of this card.

9

Answer (b) Square pieces, each of side 2 cm, are cut from this card. Find the greatest number of squares that can be obtained.

............................... cm [1]

Answer 4 (a) Evaluate f –

1 . 2

..................................... [1]

f(x) = 5 + 3x

Answer (b) Find f –1(x).

..................................... [1]

Answer f –1(x) = ........................ [1]

© UCLES 2012

4024/12/O/N/12

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4 5 Arrange these numbers in order, starting with the smallest. 3 4 0 –1 – 17 20 –4 5 For Examiner’s Use

Answer .................. , ................... , ................... , ................... , ................. [2] smallest 6 A car travelled from A to B and then continued to C. It travelled from A to B at an average speed of 30 km/h. The distance from A to B is 90 km. (a) How many hours did the journey from A to B take?

Answer (b) The distance from B to C is 50 km and took 1 hour. Calculate the average speed of the whole journey from A to C.

..................................... [1]

Answer

............................km/h [1]

© UCLES 2012

4024/12/O/N/12

5 7 Expand the brackets and simplify (a) 6k – 2(1 – k) + 3, For Examiner’s Use

Answer (b) (2x – 3)(x + 4).

..................................... [1]

Answer 8 A ship travelled from P to Q. It unloaded its cargo at Q and then returned to P. The bearing of Q from P is 075°. (a) Find the bearing of P from Q.

..................................... [1]

Answer

..................................... [1]

(b) The ship left P at 21 40 and returned to P at 05 33 the following day. Find the length of time, in hours and minutes, between leaving P and returning to P.

Answer

............ hours ............ minutes [1]

© UCLES 2012

4024/12/O/N/12

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6 9 The number of goals scored by some football teams during one weekend was recorded. The table shows the results. Number of goals scored Number of teams 0 x 1 1 2 5 3 4 4 2 For Examiner’s Use

(a) If the mode is 0, find the smallest possible value of x. Answer x = ............................... [1] (b) If the median is 1, find the value of x.

Answer x = ..................................

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