Proportions

Q. What is a mean proportion

Q.

If $m=2$, find the value of $3m^2-2m-7$.

Q.

Find the third proportional to 4 and 8

1. 16

2. 64

3. 128

4. 32

Q.

Question 1(b)

Determine if the following are in proportion:

33, 121, 9, 96

Q.

Determine if the following are in proportion:

33, 44, 75, 100

Q. If $1litre$ of milk costs Rs $40$, what will be the cost of $9litres$ of milk?

1. Rs $400$
2. Rs $250$
3. Rs $200$
4. Rs $360$

Q.

Convert $5$ hours $45$ minutes in hours as decimals.

Q.

Two ratios are said to be in ________ if they are equivalent.

1. proportion
2. congruence
3. similarity
4. unitary

Q.

Do the ratios 15 cm to 2 m and 10 sec to 3 minute form a proportion?

Q.

State True(T) or False(F):

$5.2:3.9::3:4$

Q.

If the cost of one book is Rs 10 then the cost of n such books will be:

1. 10 - n

2. 10n

3. n

4. 10 + n

Q.

If $9,x,x$ and $49$ are in proportion, find the value of $x$.

1. $7$

2. $14$

3. $21$

4. $35$

Q.

The unit of measure of an angle is degree.

1. 30º

2. 60º

Q. Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ________.

Q.

Write True (T) or False (F) against the following statement:

$0.9:0.36::10:4$

Q.

Find the value of $x$, if the following is in continued proportion: $18,xand50$.

Q.

Question 3(d)

Is the following statement True or False:

32 m : 64 m = 6 sec : 12 sec.

Q.

A sum of ₹ $7000$ is divided among $A,B,C$ in the ratio $8:12:20$ . Find $C$'s share.

1. ₹2, 500

2. ₹5, 500

3. ₹350

4. ₹3, 500

Q. If b : a = c : d, then a, b, c, d are in proportion.

1. True
2. False

Q.

If two ratios are equal they are said to be in

1. Proper

2. Improper

3. Proportion

4. Popular

Q.

Find the ratio of the following:

$33km$ to $121km$

Q.

Question 4(a)

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:

25 cm : 1 m and Rs. 40 : Rs. 160

Q.

Simplify the following expression and choose the correct answer:

$\frac{0\times (\frac{5}{9}\times \frac{2}{3})+\frac{5}{6}\times 9\times 0}{(\frac{4}{5}+\frac{3}{5}+\frac{1}{2})}$

1. 1

2. 98192/59689

3. 45981/40899

4. 0

Q.

Which is greater ratio ?

$2:3$ or $3:4$

Q.

Express as simple ratio:
$3\frac{1}{2}:2\frac{1}{3}$

1. $3:2$

2. $2:3$

3. $3:1$

4. $4:3$

Q.

Find the fourth proportion to 1.2, 1.6 and 7.2.

1. 9.6

2. 6.9

3. 5.4

4. 2.6

Q. A car travels 50 km with 2 litres of fuel. What distance will the car travel if the fuel tank has 4 litres of fuel?

1. 75 km
2. 80 km
3. 200 km
4. 100 km

Q. If 2 : 7 :: x : 21, find the value of x.

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

Q. The ratio of number of lemons to number of cups of water to be mixed to prepare lemon juice is $3:5$. For $12$ lemons what is the number of cups of water required?

1. 15
2. 20
3. 10
4. 25

Q.

Find the mean proportion of 40 and 90

1. 60

2. 50

3. 6

4. 16