Page 297 - ICSE Math 7

38. Two dice are placed side by side as shown in the adjoining figure. What would
be the total on the face opposite to:
(a) 3 + 6 (b) 2 + 5

39. Two gardens have the same perimeter. One garden is rectangular in shape with breadth
23 m and the other garden is square with side 25 m. Which garden has larger area and by how
much?
40. The length of a rectangle is 4 cm more than its breadth. If the perimeter of the rectangle is
68 cm, find its length and breadth.
41. Given a line l, draw another line m parallel to l at a distance of 4.6 cm from it.

42. Construct a triangle when all its sides are 3.8 cm.
43. Find x if the mean of 22, 17, x, 19, 25, 23 and 16 is 20.
44. The marks scored by 11 students in Mathematics test are as follows: 24, 34, 37, 38, 45, 34, 34,
38, 36, 45, 31. Find the range of the given data.

45. A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability
of drawing a:

(a) black card. (b) spade.
46. A box contains 4 white, 5 red and 6 black marbles. One marble is drawn at random. Find the
probability of drawing a:

(a) white marble. (b) black marble.

LONG ANSWER TYPE QUESTIONS
1. The product of two integers is 1,512. If one of the integers is –42, find the other.
2. Represent integers greater than –5 and less than 5 on a number line.

2
3. Express 1 − 2 in its simplest form.
1 +
3 + 1
4

4. A necklace is made of 36 gems. Out of these, two-third gems are of red colour and the remaining
is of green colour. Find the number of green coloured gems.
5. Simplify the following.
(a) 12.457 + 6.572 – 9.73 × 1.2 (b) 37.5 ÷ 0.15 × 2.53 – 148.6
6. Convert 1.41 into a fraction.

18 − 9
7. The product of two rational numbers is . If one of them is , find the other.
35 7
 6 5  5 1
8. Simplify:  ×  ÷ +
 7 9  14 3

7 × 4 11 × 5 2 5
9. Evaluate and express the answer in the exponential form.
121 × (14) 3

–1
2
3 –1
–2
10. Find the value of l m n + lmn + (lmn) when l = –2, m = 1 and n = 3.
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