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Cambridge International ExaminationsCambridge Ordinary Level
*5936587850*
MATHEMATICS (SYLLABUS D) 4024/12Paper 1 May/June 2016 2 hoursCandidates answer on the Question Paper.
Additional Materials: Geometrical instruments
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, 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.
(b) Another region, R, is defined by the inequalities x y 8G+ , y x2 4G + and y aH , where a is an integer. This region contains 5 points with integer coordinates.
Write down the value of a.
Answer a = ..................................... [1]
22 The table shows the populations, correct to 2 significant figures, of some African countries in 2014.
Country Population
Nigeria
Sudan 3.6 × 107
Chad 1.1 × 107
Namibia 2.2 × 106
(a) In 2014, the population of Nigeria was 177 156 000.
Complete the table with the population of Nigeria using standard form, correct to 2 significant figures. [2]
(b) Complete the following.
The population of Chad was ............... times the population of Namibia. [1]
(c) The population density of a country is measured as the number of people per square kilometre. It can be found by dividing the population of the country by its area in km2.
The area of Sudan is 1.86 × 106 square kilometres.
Estimate the population density of Sudan. Give your answer correct to 1 significant figure.
The diagram shows a sector of a circle with radius 3r cm and angle a° and a circle with radius r cm. The ratio of the area of the sector to the area of the circle with radius r cm is 8 : 1.
(a) Find the value of a.
Answer a = ..................................... [3]
(b) Find an expression, in terms of r and r, for the perimeter of the sector.
Answer ..................................... cm [2]
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26 (a) Make p the subject of the formula t pp
4
3=-+
.
Answer p = ..................................... [3]