Proportion

Q. If two ratios a : b and c : d are equal, they are said to be in proportion. How do you represent this symbolically?

1. a : c = b : d
2. a = b = c = d
3. a : b : c : d
4. a : b :: c : d

Q. If in a proportion, the first, second and fourth term are 32, 112 and 217
respectively, then the third term is

1. 45
2. 62
3. 32
4. 78

Q. Express each of the following ratios in its simplest forms:
$\left(ii\right)$ $30cm:2m$

Q.

Are $12,18,8,12$ in propotion?

Q.

The second and third term, that is, $b$ and $c$ of a proportion are known as middle terms or means.

1. True
2. False

Q.

In the proportion $p:q::u:v$, the first and fourth terms are called:

1. Antecedent

2. Consequent

3. Extremes

4. Means

Q. Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.

1. 23
2. 27
3. 32
4. 25

Q. The first, second, and fourth terms of a proportion are $6,18$ and $75$ respectively. Find its third term.

Q.

In a proportion, the first, third and fourth terms are $80,30,and24$ respectively. Find the second term.

Q.

Find $x$, if $x:39::6:8$

Q.

Is the following numbers in proportion?

$4,12,6,18$

Q.

Determine if $6,10,18,35$ are in proportion.

Q. Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.

1. 23
2. 27
3. 32
4. 25

Q. A motorbike requires 5 L of petrol to travel 220 km. How much distance will it cover using 1.5 L of petrol?

Q.

Which one of the following is a proportion?

a) 32: 64 = 1 : 2

b) 1:2 =3:4

c) 22 : 34 = 2 : 2

d) 15: 5 = 7: 8

1. a)

2. b)

3. c)

4. d)

Q. If both the terms of a ratio are multiplied by the same number, it gives a/an_________.

1. equivalent ratio
2. ratio
3. percentage
4. unit rate

Q. If both the terms of a ratio are multiplied by the same number, it gives a/an_________.

1. ratio
2. unit rate
3. equivalent ratio
4. percentage

Q. The ratio of number of boys to number of girls in a class is 7:5. If the total number of students are 60 , what will be the number of boys in the class?

1. 36
2. 38
3. 35
4. 40

Q.

Which of the following numbers are in proportion?

a) 3.6 , 0.4 , 4.5 , 0.3

b) 8, 2, 20 , 7

c) 20, 2 , 100, 10

d) 20, 18 , 5, 6

1. b)

2. d)

3. a)

4. c)

Q.

If x, y and z are in continued proportion then $z:x::z^2:y^2$.

1. False

2. True

Q.

If the first, second, and fourth terms of a proportion are $3,11$ and $55$ respectively, find the third term.

Q. The mean proportional of 4 and 9 is ____ .

1. 10
2. 9
3. 4
4. 6

Q. Maria uses 3 cups of cocoa and 4 cups of refined flour to bake a chocolate cake.
Polly uses 2 cups of cocoa and 3 cups of refined flour.
Mary uses 12 cups of cocoa and 16 cups of flour.
Which of them bake their cakes in the same ratio?

Q. Order of a ratio has no significance.

1. True
2. False

Q.

Are the following numbers in proportion?

$36,54,60,90$

Q.

Which one of the following is a proportion?

1. 1:2 =3:4

2. 32: 64 = 1 : 2

3. 22 : 34 = 2 : 2

4. 15: 5 = 7: 8

Q. With the use of three different weights, namely, $1$ gms, $3$ gms, and $9$ gms, how many objects of different weights can be weighed, if the object has to be weighed and the given weights may be placed in either pan of the scale?

1. $11$
2. $13$
3. $9$
4. $7$
5. $15$

Q.

If $p$, $q$ and $r$ are in proportion. Find $q$. ( $p=121$ and $r=100$)

Q. The first, second, and fourth terms of a proportion are 6, 18, and 75 respectively. Find its third term.

Q. Fill in the following blank:

$\frac{8}{}=\frac{3.2}{4}$

1. 12
2. 10
3. 6
4. 8