Language of Ratio

Q. A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road roller is 84cm and the length is 1m

Q.

The ratio of girls to boys in a school is $5:3.$ If there are $300$ girls, find the number of boys.

1. $210$

2. $180$

3. $240$

4. $150$

Q.

Why is pi equal to 3. 14

Q.

The ratio of a side and perimeter of a square is 1:4.

1. True

2. False

Q.

The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. Find the difference between the measure of the largest angle and the smallest angle.

1. 144°

2. 108°

3. 72°

4. 36°

Q.

The number of boys and girls in a class are in the ratio 3:5 respectively. If the number of girls are 12 more than the number of boys,

find the total number of students in the class.

1. 30

2. 48

3. 42

4. 54

Q. The ratio between the curved surface area and the total surface area of a cylinder is 1:2.. Find the ratio between the height and the radius of the cylinder

Q.

Shani has to cut out circle of diameter 1 1/4 cm from an aluminium strip of dimensions 8 3/4 cm by 1 1/4 cm how many full circles can Shalini cut also calculate the wastage of the aluminium strips

Q.

Rama has a collection of 18 red beads and 12 green beads. Uma also such a collection of red and green beads, 20 in all. The ratio of the number of beads in each color is the same for both. How many red beads does Uma have? And how many green beads?

Q.

The length and the breadth of a conference hall are in the ratio $7:4$ and its perimeter is $110m$. Find:
(1) area of the floor
(2) number of tiles, each a rectangle of size $25cm\times 20cm$, required for flooring of the hall.
(3) the cost of the tiles at the rate of $Rs.1400$ per hundred tiles.

Q. The perimeter of a rectangle is 24 meters and its breadth and length are in the ratio 3 : 5. What is the length of the rectangle?

1. $\frac{9}{2}$
2. $\frac{15}{2}$
3. $\frac{7}{2}$
4. $\frac{11}{2}$

Q.

If an acid and water are mixed in the ratio 5:6 to make a liquid and 20 more litres of acid is added, the ratio changes to 5:2 then what is the final volume of liquid?

1. 10 litres

2. 12 litres

3. 20 litres

4. 42 litres

Q.

If x : y = 2 : 5 , then find 3x : 5y.

1. 6 : 25

2. 2 : 3

3. 12 : 20

4. 6 : 5

Q.

Every fraction is a ratio but every ratio is not a fraction. State with true or false.

1. False

2. True

Q.

Number of boys and girls in a class are in the ratio $7:5$. The number of boys is $8$ more than the number of the girls. Find the total strength of the class.

1. $36$
2. $42$
3. $48$
4. $56$

Q.

The length of a rope is 2 m and its diameter is 1 cm. The ratio of the length of the rope to its diameter is _____.

1. 1:200

2. 1 : 400

3. 2000:1

4. 200:1

Q. Question 6 (a)
(a) What is the minimum interior angle possible for a regular polygon? Why?

Q. Ratio of height of Anirudh and Swathi is 3by2 what is the hiegt of Anirudh if Swathi height is 120cm.

Q.

Kristin received a CD player for her birthday. She bought $3$ CDs and received $5$ others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Q.

State the statement as true or false:

A ratio compares only two numbers.

1. True
2. False

Q.

A certain amount has been divided into two parts in the ratio 2:7. If the second part is ₹ 210, then the total amount is ___.

1. ₹ 270

2. ₹ 370

3. ₹ 60

4. ₹ 120

Q.

Answer of question no 36 of chapter Comparing Quantities of VIII CBSE worksheet send by mentor

Q.

If the ratio of angles in a triangle is 3:4:5 then find the measures of angles in the triangle.

1. 45${}^{\circ }$, 60${}^{\circ }$, 95${}^{\circ }$

2. 30${}^{\circ }$, 60${}^{\circ }$, 75${}^{\circ }$

3. 45${}^{\circ }$, 65${}^{\circ }$, 75${}^{\circ }$

4. 45${}^{\circ }$, 60${}^{\circ }$, 75${}^{\circ }$

Q.

Find the area of the ground covered by the cracker in the image knowing that the sparkle was 28 cm from the cracker.

1. 2156 cm²

2. 2464 cm²

3. 4259 cm²

4. 4258 cm²

Q. Find the ratios of the following:
(i) 60 paise to ₹3
(ii) 2 kg to 500 g
(iii) 2 days to 6 hours

Q.

What is a ratio?

Q. Question 26
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is
a) ${72}^{\circ }$
b) ${144}^{\circ }$
c) ${36}^{\circ }$
d) ${18}^{\circ }$

Q. What is the area of the rectangle if its width is 6 cm and its perimeter 30 cm?

1. 54 cm
2. 9 cm
3. 54 sq cm
4. 9 sq cm

Q. In a regular polygon, outer angle is twice the inner angle.
i) How much is each of its inner angle?
ii) How many sides does it have? [4 Marks]

Q.

Question 101 (i)

Here is a keyboard for a harmonium.
Find the ratio of white key to black keys on the keyboard.