Introduction to Proportions

Q.

Find the third proportional to $12,18.$

Q.

$24:50::102:\_\_$Find the number.

Q.

How much does $1$ score and $1$ dozen result?

Q.

Fond the third proportion of 1.6 and 0.8

Q.

Present ages of Sita and Geeta are in the ratio 4 : 5. Eight years from now the ratio of their ages will be 5 : 6. Find their present ages. [4 MARKS]

Q.

Solve the following.

Find the mean proportion between 9 and 49.

Q.

Solve the following.

If the first, second and fourth terms of a proportion are 51, 81 and 108. Find the third term.

Q. Show that 2, 12, 72 are in continued proportion

Q.

Show that $6,36,216$ are in the proportion.

Q.

In a class of $42$ students, $12$ like cricket, $9$ like basketball, $6$ like tennis and the remaining do not like any game. Find the ratio of the number of students who do not like any game to the number of students who like basketball.

Q.

Identify which of the following sets are in proportion.

Q.

Check whether the following numbers are in proportion or not

1)½, 1/5, 1/6, 1/15

Q.

Determine whether 1/2, 1/4, 1/7, 1/14 are in proportion or not.

Q.

Solve the following.

If 8 oxen can plough 45 acres of land in 15 days, then how many acres of land can 12 oxen plough in 9 days?

Q. The ratio 200cm to 1m is 2 : 1

1. Yes
2. No

Q.

Reduce these ratios to their simplest form.

Q. For every 7 cups of mango juice, 3 spoons of sugar is required. If you're going to make 21 cups of mango juice, Calulate the number of spoons of sugar required?

1. 21
2. 7
3. 9
4. 3

Q.

In Noida schools, the number of children who appeared for Olympiad Exam in year $2011$ were $2518$ and in year $2012$ were $2461$. How many children appeared in both the years together?

Q. Rani made a necklace using 4 beads. She made another necklace using 8 beads. The third necklace that she made had 12 beads. How many beads will the fifth necklace have?

1. 40
2. 50
3. 20
4. 4

Q.

The cost of $3$ notebooks is $₹84$. Find the cost of one notebook.

Q. Ram is 2 inches taller than Somu. Raghu is 3 inches taller than Sushma. Somu is 2 inches taller than Raghu. The ratio of the heights of Ram, Somu, Raghu and Sushma can be:

1. 9 : 7 : 5 : 2
2. 6 : 4 : 1.5 : 0.5
3. 7 : 5 : 3 : 1
4. 10 : 8 : 6 : 3

Q. Identify the ratios which are in direct proportion.

1. 1 : 2
2. 5 : 20
3. 6 : 24
4. 1 : 3

Q.

Determine if the following are in proportion.

(a) 15, 45, 40, 120 (b) 33, 121, 9, 96

(c) 24, 28, 36, 48 (d) 32, 48, 70, 210

(e) 4, 6, 8, 12 (f) 33, 44, 75, 100

Q.

Sonu has a long ribbon. He has to cut it into $25$ pieces. How many cuts will he make $?$

Q. If 27, 36, x are in continued proportion, find the value of x.

Q. Identify the ratios which are in proportion.

1. 1 : 2
2. 5 : 20
3. 6 : 24
4. 1 : 3

Q.

Solve the following problems:

Food grains in a hostel lasts for 30 days for 10 persons. How long does it last for 25 persons?

Q. If 12 : $x$ : : 30 : 25, then the value of $x$ is

1. 3
2. 10
3. 5

Q.

A kite maker made $1500$ kites for Independence day celebration. If $275$ kites were sold, how many kites were left?

Q. Using the figures given below, find the ratio between the number of squares and the number of matchsticks used.

1. 1 : 4
2. 1 : 3
3. 1 : 2
4. 1: 8