Page 277 - ICSE Math 6

33. Can a right triangle have an angle of 110°? Justify your answer.
34. Define orthocentre.

35. Draw three circles each with the same centre O and radius 2 cm, 4 cm and 6 cm respectively.
Find the length of the largest chord of the biggest circle.
36. Define sector of a circle.
37. Draw a net of a square prism.
38. Draw the top, front and side views of the given figure.

Top view

Side view
Front view

39. Draw a line with respect to which the end points of line segment MN = 8 cm are symmetric.
40. Consider the given figure and answer the following.
(a) How many line(s) of symmetry does it have?

(b) Does it have an oblique line of symmetry?
(c) If all of its sides become equal, then how many line(s) of symmetry will it have?
41. The area of a square of side length 3.5 m is equal to the area of a rectangle of length 5 m.

What is the difference between their perimeters?
42. The sides of a rectangle of perimeter 182 cm are in the ratio 5 : 8. Find the area of the rectangle.
43. The given bar graph represents the number of hours studied by a student in 4 weeks.

Number of hours studied 20
25

15

10
5
0
1 2 3 4
Weeks
Based on the bar graph, answer the following.
(a) On an average, for how many hours did the student study in a week?
(b) What is the median hours studied?

(c) In which week(s) the student studied for more than the average number of hours?
44. The mean of 7 observations of a data is 13. If 6 of the observations are 12, 11, 14, 15, 13 and
17, find the missing observation of the data.

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