Page 304 - ICSE Math 8
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36. Identify the following net.
37. If the order of rotational symmetry is 3, what is the smallest angle of rotation?
38. What will be the new coordinates of a point (9, – 5) when rotated about the origin through an angle of
180°?
39. PQ is a chord of length 6 cm. A line from the centre of the circle is drawn perpendicular to the chord.
Find the length of the two parts of the chord.
R
40. In the adjoining figure, if PR = RQ, find ∠QPR. P Q
41. Find the area of a circle with radius 7 cm.
42. Find the area of the shaded portion, given that OA = 6 cm and OB = 3 cm. O R A
43. The circumference of the base of a cylinder is 308 cm and its height is 11 cm. r
Find the volume of the cylinder. R
2
44. The curved surface area of a cylinder is 1,320 cm . Find the radius if its height is 30 cm.
45. What are tally marks and where are they used?
46. The ages of 20 patients who visited a doctor are given below.
34, 35, 39, 38, 4, 9, 15, 26, 12, 13
Prepare a frequency distribution of the data.
47. A box contains 15 bulbs out of which 6 are defective. One bulb is taken out at random from the box.
What is the probability that the bulb is not defective?
48. An urn contains 5 white, 4 black and 7 red marbles. A marble is drawn at random. What is the probability
that it is a black marble?
LONG ANSWER TYPE QUESTIONS
− 7 5
1. Divide the sum of and by their difference.
11 8
− 6 3 9 5 − 11
2. Arrange , , , , in ascending order.
17 17 17 17 17
− 5 3 − 3 − 5 3 − 3
3. Simplify using the laws of exponent and write the result with positive exponent.
3 3
–2
4. Express (9) as a power with base 3.
5. Without actually adding, find the sum of: 1 + 3 + 5 + 7 + 9 + 11 + 13.
6. Find the smallest square number divisible by each one of the numbers 6, 10, 12, 15.
7. Evaluate the following.
(a) 3 8 1331× (b) 3 − 64 729×
8. Find the smallest number by which 3,645 must be multiplied to make it a perfect cube.
9. If 68y is a multiple of 9, where y is a digit, then find the value of y.
292
