Cambridge International Examinations Cambridge ... · 3 ULE 2018 058041M18 [Turn over 2 The scale drawing shows two boundaries, AB and BC, of a field ABCD. The scale of the drawing
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Cambridge International ExaminationsCambridge International General Certificate of Secondary Education
MATHEMATICS 0580/41Paper 4 (Extended) May/June 2018 2 hours 30 minutesCandidates answer on the Question Paper.Additional Materials: Electronic calculator Geometrical instruments Tracing paper (optional)
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 fluid.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 specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place.For r, 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 130.
2 The scale drawing shows two boundaries, AB and BC, of a field ABCD. The scale of the drawing is 1 cm represents 8 m.
A
Scale: 1 cm to 8 m
B
C
(a) The boundaries CD and AD of the field are each 72 m long.
(i) Work out the length of CD and AD on the scale drawing.
.......................................... cm [1]
(ii) Using a ruler and compasses only, complete accurately the scale drawing of the field. [2]
(b) A tree in the field is
• equidistant from A and B and • equidistant from AB and BC.
On the scale drawing, construct two lines to find the position of the tree. Use a straight edge and compasses only and leave in your construction arcs. [4]
(b) On one day, the number of members using the exercise machines was 40, correct to the nearest 10. Each member used a machine for 30 minutes, correct to the nearest 5 minutes.
Calculate the lower bound for the number of minutes the exercise machines were used on this day.
......................................... min [2]
(c) On another day, the number of members using the exercise machines (E), the swimming pool (S) and the tennis courts (T ) is shown on the Venn diagram.
20 33
16
7 845
S
T
E�
(i) Find the number of members using only the tennis courts.
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