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MATHEMATICS - 2007

(Two hours and a half)

Question 10

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34.

(a) The table below shows the distribution of the scores obtained by 120 shooters in a shooting competition. Using a graph sheet, draw an ogive for the distribution.
Scores obtained
Number of shooters
0 - 10 5
10 - 20 9
20 - 30 16
30 - 40 22
40 - 50 26
50 - 60 18
60 - 70 11
70 - 80 6
80 - 90 4
90 - 100 3
Use your ogive to estimate:-
(i) The Median
 

35.

(ii) The inter quartile range
 

36.

(iii) The number of shooters who obtained more than 75% scores.
 

37.

(b)


In the given figure, ABC is a triangle. DE is parallel to BC and AD/DB = 3/2.
(i) Determine the ratios AD/AB, DE/BC  (Type in the answers separated by commas. Leave no spaces around the commas and the : (colon) symbol.)
 

38.

(ii) Prove that ΔDEF is similar to ΔCBF. Hence, find EF/FB
 

39.

(iii) What is the ratio of the areas of ΔDFE and ΔBFC?
 


 
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