Cambridge International Examinations Cambridge ...smarteduhub.com/files/documents/0580_w14_qp_22.pdf · Two cylindrical cans are mathematically similar. The larger can has a capacity
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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 an HB pencil for any diagrams or graphs.Do not use staples, paper clips, glue or correction fl uid.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 specifi ed in the question, and if the answer is not exact, give the answer to three signifi cant fi gures. 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 70.
Answer r = ................................................ [2]__________________________________________________________________________________________
6 The length, l metres, of a football pitch is 96 m, correct to the nearest metre.
Complete the statement about the length of this football pitch.
Answer .................................... Y l < .................................... [2]__________________________________________________________________________________________
7 For her holiday, Alyssa changed 2800 Malaysian Ringgits (MYR) to US dollars ($) when the exchange rate was 1 MYR = $0.325 .
Triangle ABC is isosceles with AB = AC. Angle BAC = 110° and the area of the triangle is 85 cm2.
Calculate AC.
Answer AC = .......................................... cm [3]__________________________________________________________________________________________
Answer(b)(ii) k = ................................................ [1]__________________________________________________________________________________________
18 72 students are given homework one evening. They are told to spend no more than 100 minutes completing their homework. The cumulative frequency diagram shows the number of minutes they spend.
80
60
40
20
030 40 50 60 70
Minutes80 90 100
Cumulativefrequency
(a) How many students spent more than 48 minutes completing their homework?
20 The diagram shows the plan, ABCD, of a park. The scale is 1 centimetre represents 20 metres.
D
A
C
B
Scale: 1 cm to 20 m
(a) Find the actual distance BC. Answer(a) ............................................ m [2]
(b) A fountain, F, is to be placed
● 160 m from C and ● equidistant from AB and AD.
On the diagram, using a ruler and compasses only, construct and mark the position of F. Leave in all your construction lines. [5]__________________________________________________________________________________________
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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.
21 (a) Write as a single fraction in its simplest form.