Page 276 - ICSE Math 6

16. A bike can cover 150 km using 3 litres of petrol. How much petrol will it require to cover 80
km? How much distance will it cover using 5 litres of petrol?
17. If 35% of x is 70, find 20% of (x +20).

18. Anish has a total of 80 stamps in his collection. He gives 20 stamps to Sumant. What percentage
of total stamps does he give to Sumant? If Sumant gives 10% of his stamps to Mayra, how
many stamps does she get?
–1
19. While running at a speed of 90 km h , a 150 m long train crosses a platform in 16 s. How long
is the platform?

20. Two trains A and B are running at the same speed. Train A is 180 m long and it crosses a pole
in 7.2 s. If train B takes 4 s to cross the pole, find its length.
th
21. Write the general term and value of the 16 term of the pattern given below.
2, 5, 10, 17, 26, …
7
5
3
22. For the algebraic expression b – 4b + 70b – 25, answer the following.
(a) Is this a polynomial in b? If so, write its degree.
(b) Write the terms of the given algebraic expression.
3
5
7
(c) Write the coefficients of b , b and b respectively.
(d) What is the constant term in the given algebraic expression?
23. Simplify: 5x − [ 2{x− + (2x − 30 3 )}]x−
24. Multiply (a + b) and (a – ab) and then find the value of the product for a = 2 and b = –3.
25. Sarvan earns ` 2,500 more than twice of the amount Naina earns. If the sum of amount they
earn is ` 62,500, how much does Sarvan earn?
26. The sum of two numbers is 70. If one of the numbers is one-fourth of the other, find the numbers.

27. Draw a figure by joining three non-collinear points and answer the following.
(a) What shape is obtained? (b) Is it a closed figure or open figure?
(c) Does it have a pair of parallel sides? (d) How many sides does it have?
28. Using the given figure, answer the following.
(a) How many line segments are there in the figure?

(b) How many pairs of parallel lines does it have?
(c) How many pairs of perpendicular lines does it have?
29. Rama is facing towards east. She rotates anticlockwise by 15 right angles. Towards which
direction is she facing now?
30. Given that A and B are vertically opposite angles, and A and C are supplementary angles. If C
and D are congruent angles such that D = 46°, find the measure of A, B and C.

31. Draw a line AB. Draw a perpendicular PQ to AB from a point C on it. Draw a perpendicular
MN to PQ from a point not on AB or PQ. Are AB and MN parallel?

32. Using a ruler and a compass, complete the given figure to obtain a square ABCD.
D

A B

260