S.chand class 6 Mathematics Chapter 8 Exercise 8A

 Exercise 8A

Question 1

Look at the following pictures. Give the ratio of

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(i) cups to plates

(ii) pens to notebooks

(iii) boys to kites

(iv) apples to baskets

Question 2

Express the following in the language of ratio.

(i) The length of a rectangle is double its breadth.

(ii) Uma is thrice as tall as Shikha.

(iii) In a school, 5 periods have been allotted to Science and 4 periods to Maths.

(iv) In a screening test $\frac{3}{5}$ of the number who appeared, cleared the test.

Question 3

Write a fraction in the simplest form for each ratio given below.

(i) $12: 36$

(ii) $24: 27$

(iii) $35: 42$

(iv) $44: 76$

(v) $91: 104$

Question 4

Which of the following number of pairs have the same ratios?

8 and 3 ; 56 and 21 ; 104 and 36 ; 896 and 336 .

Question 5

Express the following ratios in the simplest form.

(i) $₹ 30$ : ₹ 35

(ii) $125 \mathrm{~kg}: 150 \mathrm{~kg}$

(iii) $140 \mathrm{~m}: 350 \mathrm{~m}$

(iv) $1.21 \mathrm{~kg}: 22 \mathrm{gm}$

(v) 6 hours : 1 day

(vi) 8 days : 4 weeks

(vii) $4.5 \mathrm{~km}: 450 \mathrm{~m}$

(viii) ₹ 90 paise : ₹9

Question 6

A boy scored 60 marks in a Science test and 75 marks in a Mathematics test. What is the mathematics marks to his science marks?

Question 7

An alloy consists of $15 \frac{1}{2} \mathrm{~g}$ of zinc and $7 \frac{3}{4} \mathrm{~g}$ of copper. Find the ratio by weight of zinc to copper in the alloy.

Question 8

8. In the word 'AUDITORIUM;, find the ratio of the number of vowels to the number of consonants.

Question 9

9. A cyclist travels 36 km in 3 hours and a motorist travels 96 km in 2 hours. Find the ratio of their speeds.

Multiple Choice Questions (MCQs) 

Tick (✔) the correct option.

10. The ratio of the number of sides of a square to the number of edges of a cube is

(a) $3: 2$

(b) $1: 3$

(c) $1: 2$

(d) $3: 1$

11. A picture is $40 \mathrm{~cm}$ wide and $1.2 \mathrm{~m}$ long. The ratio of its length to its perimeter is

(a) $1: 3$

(b) $1: 8$

(c) $3: 8$

(d) $1: 2$