Calculating Fractional Area

Q. What is the equivalent fraction of $\frac{48}{28}$ in its simplest form?

1. $\frac{24}{14}$
2. $\frac{12}{7}$
3. $\frac{96}{56}$
4. $\frac{24}{16}$

Q. Which of the following is not true?

1. A proper fraction is lesser than 1
2. An improper fraction is greater than one or equal to one
3. A mixed fraction can’t be expressed as a proper fraction
4. A proper fraction is always greater than an improper fraction

Q. A kitchen floor has 25 tiles in an area of 5 square feet. How many tiles are in 1 square foot?

1. 5
2. 125
3. 25
4. 30

Q. In which of the following provinces the Congress Ministry was not formed in June $1937$?

1. United Provinces
2. Central Provinces
3. Madras
4. Assam

Q.

A field 90 m long and 40 m broad is exchanged for a square plot of land of equal area. Find the side length of the square.

1. 30m

2. 3600m

3. 60m

4. 36m

Q.

Classify the following fraction as proper, improper and mixed fractions $\frac{13}{11}$

Q.

The square whose area is $100m^2$ is divided into 5 rectangles of equal area. If the length of the rectangle is 10 m, then find the breadth.

1. $2m$

2. $\frac{1}{2}m$

3. $4m$

4. $\frac{2}{5}m$

Q.

Check whether the given fractions are equivalent or not.

$\frac{45}{81}$ and $\frac{5}{9}$

Q.

Two squares of area $9m^2$ are placed adjacent to each other, what would be dimensions of the new rectangle formed ?

1. Length = 6 m, breadth = 3 m

2. Length = 6 m, breadth = 6 m

3. Length = 3 m, breadth = 3 m

4. Length = 18 m, breadth = 6m

Q.

Check whether the given fractions are equivalent or not.

$\frac{4}{5}$ and $\frac{24}{30}$

Q. A person walks 1 ¼ km from his home and later travels in a bus for 5 ½ km to reach a local market. What is the distance between his house and the local market?

1. $\frac{27}{4}$
2. $\frac{26}{4}$
3. $6\frac{2}{3}$
4. $7\frac{1}{4}$

Q. A school runs for 6 hours per day, consisting of sessions of 45 minutes each. What will be the fraction of the duration of 1 session to the total duration of all the sessions?

1. $\frac{1}{8}$
2. $\frac{1}{9}$
3. $\frac{1}{6}$
4. $\frac{1}{5}$

Q.

If 3 sacks of concrete will make 12 square feet of sidewalk, predict how many sacks of concrete are needed to make 40 square feet of sidewalk.

1. 20

2. 10

3. 40

4. 30

Q.

Find the area of the rectangle with length $\frac{3}{4}m$ and breadth is 2 times the length.

1. $\frac{4}{9}$ sq. m

2. $\frac{9}{8}$ sq. m

3. $\frac{8}{9}$ sq. m

4. $\frac{9}{4}$ sq. m

Q.

What is the area of the square with side $\frac{2}{3}$ m ?

1. $\frac{2}{3}$ sq. m

2. $\frac{2}{9}$ sq.m

3. $\frac{4}{3}$ sq. m

4. $\frac{4}{9}$ sq. m

Q. Find the area of the shaded region:

Q.

Check the given fractions are Equivalent or not $\frac{6}{9}$and $\frac{12}{18}$

Q. Find an equivalent fraction of $\frac{112}{252}$ with denominator 9.

Q. How are two mixed fractions added?

Q. Perimeter of a square whose side measures $4m$ is

1. $4m$
2. $12m$
3. $16m$
4. $16cm$

Q.

What number will replace $*$ mark?

$\frac{7}{8}$$=$$\frac{21}{*}$

Q.

Ravi travelled $3\frac{1}{2}km$ in a bus and then he walked $1\frac{1}{8}km$ to reach a town.How much did he travel to reach the town ?

Q. The number of sheets of paper available for making notebooks is $75,000$. Each sheet makes $8$ pages of a notebook. Each notebook contains $200$ pages. How many notebooks can be made from the paper available?

Q.

Find the area covered if 8 square mats of side $\frac{5}{2}m$ are spread over the ground.

1. $50sq.m$

2. $\frac{25}{2}sq.m$

3. $\frac{50}{4}sq.m$

4. $25sq.m$

Q. Which of the following pairs of fractions are not equivalent?

1. $\frac{3}{4},\frac{15}{20}$
2. $\frac{14}{21},\frac{4}{6}$
3. $\frac{8}{10},\frac{12}{15}$
4. $\frac{6}{14},\frac{10}{25}$

Q. A bar of length 20 units is made into square find its area

1. 20
2. 16
3. 25
4. None of these.

Q. The following fraction represent just three different numbers. Separate them into the groups of equivalent fractions, by changing each one to its simplest form.
$\frac{8}{50}$

Q.

Question 9 :

Match the equivalent fractions and write two more for each:

$\begin{array}{c}\left(i\right)\frac{250}{400}\left(a\right)\frac{2}{3}\\ \left(ii\right)\frac{180}{200}\left(b\right)\frac{2}{5}\\ \left(iii\right)\frac{660}{990}\left(c\right)\frac{1}{2}\\ \left(iv\right)\frac{180}{360}\left(d\right)\frac{5}{8}\\ \left(v\right)\frac{220}{550}\left(e\right)\frac{9}{10}\end{array}$

Q. The breadth of a rectangle is $10\%$ of its perimeter. If the length of the rectangle is $12$ cm longer than its breadth, find the area of the rectangle.

1. $36c{m}^2$
2. $400c{m}^2$
3. $64c{m}^2$
4. $256c{m}^2$

Q.

Which of the following formulae can be used to find the area and perimeter of a square? (Given Side length = 'a')

1. a², 4a

2. a², 2a

3. 2a², 4a

4. 2a², 2a