Properties of Ratios

Q.

Express 2.36 (36 is reccuring) +0.23 (23 is reccuring) as a fraction in the simplest form.

Q. The simplest form of $0.12\overline{3}$ is
(a) $\frac{41}{330}$
(b) $\frac{37}{330}$
(c) $\frac{41}{333}$
(d) none of these

Q.

Express the given ratios in their simplest forms: $2$ hours $30$ minutes$:60$ minutes.

Q. The simplest form of $0.\overline{54}$ is
(a) $\frac{27}{50}$
(b) $\frac{6}{11}$
(c) $\frac{4}{7}$
(d) none of these

Q.

Write the given ratio in the simplest form: $5kgto6kg$

Q. The simplest form of $0.3\overline{2}$is
(a) $\frac{16}{45}$
(b) $\frac{32}{99}$
(c) $\frac{41}{333}$
(d) none of these

Q.

Reduce the following fractions to simplest form:

(a) (b)

(c) (d)

(e)

Q.

Find the ratio in the simplest form

$3minutesto90minutes$

Q. What is the simplest form of 20 : 25.

1. 4 : 5
2. 5 : 3
3. 3 : 5
4. 5 : 4

Q.

Write the following as a ratio in its simplest form $5$ weeks to $3$ years

Q.

Express2.36and 0.23 as a fraction in simplest form.

Q.

Express $\frac{1250}{14}$ in its simplest form.

Q. Find the ratio of lengths 6 m, 20 cm and 400 mm.

1. 30 : 1 : 2
2. 300 : 2 : 10
3. 3 : 1 : 2
4. 3 : 10 : 200

Q. If x : y = 2 : 5 , then find 3x : 5y [2 Marks]

Q.

A bag contains ₹510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type respectively.

1. 400, 600, 800

2. 400, 200, 400

3. 300, 600, 900

4. 400, 900, 800

Q.

Find ratio in the Simplest Form

$30daysto30hours$

Q.

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

1. 6 : 5

2. 6 : 25

3. 2 : 3

4. 12 : 20

Q. The volume of a cuboid is 1536 m³. Its length is 16 m, and its breadth and height are in the ratio 3 : 2. Find the breadth and height of the cuboid.

Q. The ratio 35 : 84 in simplest form is

1. 5 : 7
2. 7 : 12
3. 5 : 12
4. 7 : 21

Q. Find the following ratio : 1) Ratio of area of square to its perimeter

Q.

If two quantities have different units then we can compare them by using the method of ratio.

1. True

2. False

Q.

Write the following as ratio in its simplest form 6 minutes to 2 hours.

Q. In ratio $61\%$ is written as $61:100.$

1. True
2. False

Q. convert 54 mins / 1 hour in simplest form

Q. The simplest form of ${\left(\frac{64}{729}\right)}^{-1/6}$is
(a) $\frac{2}{3}$
(b) $\frac{3}{2}$
(c) $\frac{4}{3}$
(d) $\frac{3}{4}$

Q. For comparison by ratio, the quantities must have the same unit.

1. True
2. False

Q.

The ratio of the length of a rectangle to its breadth is $3:2$. If the perimeter of the rectangle is $20cm$ find length, breadth, and area.

Q.

For comparison by ratio, the quantities must have the same _______.

1. factors

2. percentage

3. value

4. unit

Q. Express the following ratio in the simplest form 30 minutes : 1 day

1. 1 : 48
2. 1 : 24
3. 24 : 1
4. 48 : 1