Worksheet on Construction on Quadrilateral | Construction of Quadrilaterals Questions

Worksheet on Construction on Quadrilateral is the first source for every student who wishes to learn complete concepts of Construction of Quadrilateral. You can see different problems along with answers, and explanations where you can find different processes to solve one problem. Practice all the problems and improve your preparation level easily. Quadrilateral Worksheet is included on our website with practice questions and solved problems.

Construction of Quadrilaterals Problems

1. Construct a quadrilateral PQRS in which PQ = 4.4 cm, QR = 6.2 cm, RS = 5.4 cm, SP = 5.2 cm And PR = 8.2 cm.

Solution:

Steps of Construction:
Firstly, draw a rough figure of the quadrilateral with the given dimensions.
Worksheet on Construction of Quadrilateral 1
1. Draw a line segment of length 4.4 cm and mark the ends as P and Q.
2. Take the point P as a center and draw an arc by taking the radius 8.2 cm.
3. Next, take point Q as a center and draw an arc by taking the radius 6.2 cm. Mark the point as R where the two arcs cross each other. Join the points Q and R as well as P and R.
4. By taking the point P as a center, draw an arc with a radius of 5.2 cm.
5. By taking the point R as a center, draw an arc with a radius of 5.4 cm.
6. Mark the point as S where the two arcs cross each other. Join the points R and S as well as P and S.

The final result is the required quadrilateral.

Worksheet on Construction of Quadrilateral 2


2. Construct a quadrilateral ABCD in which AB = 5.4 cm, BC = 4.6 cm, CD = 4.3 cm, DA = 3.5 cm and diagonal AC = 5.6 cm

Solution:

Steps of Construction:
Given that a quadrilateral ABCD in which AB = 5.4 cm, BC = 4.6 cm, CD = 4.3 cm, DA = 3.5 cm and diagonal AC = 5.6 cm
1. Draw a line segment of length 5.6 cm and mark the ends as A and C.
2. Take point A as a center and draw an arc by taking the radius 5.4 cm above the diagonal.
3. Next, take point C as a center and draw an arc by taking the radius 4.6 cm above the diagonal. Mark the point as B where the two arcs cross each other. Join the points A and B as well as B and C.
4. By taking point A as a center, draw an arc with a radius of 3.5 cm below the diagonal.
5. By taking the point C as a center, draw an arc with a radius of 4.3 cm below the diagonal.
6. Mark the point as D where the two arcs cross each other. Join the points A and D as well as C and D.

The final result is the required quadrilateral.

Worksheet on Construction of Quadrilateral 3


3. Construct a quadrilateral PQRS in which PQ = 3.5 cm, QR = 3.8 cm, RS = SP = 4.5 cm and diagonal QR = 5.6 cm.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 3.5 cm, QR = 3.8 cm, RS = SP = 4.5 cm and diagonal QR = 5.6 cm.
1. Draw a line segment of length 5.6 cm and mark the ends as S and R.
2. Take point S as a center and draw an arc by taking the radius 5.6 cm.
3. Next, take point R as a center and draw an arc by taking the radius 3.8 cm. Mark the point as Q where the two arcs cross each other. Join the points S and Q as well as R and Q.
4. By taking point S as a center, draw an arc with a radius of 4.5 cm.
5. By taking the point Q as a center, draw an arc with a radius of 3.5 cm.
6. Mark the point as P where the two arcs cross each other. Join the points Q and P as well as S and P.

The final result is the required quadrilateral.

Worksheet on Construction of Quadrilateral 4


4. Construct a quadrilateral PQRS in which PQ = 3.6 cm, QR = 3.3 cm, PS = 2.7 cm, diagonal PR = 4.6 cm and diagonal QS = 4 cm.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 3.5 cm, QR = 3.8 cm, RS = SP = 4.5 cm and diagonal QR = 5.6 cm.
1. Draw a line segment of length 3.6 cm and mark the ends as P and Q.
2. Take point P as a center and draw an arc by taking the radius 4.6 cm.
3. Next, take point Q as a center and draw an arc by taking the radius 3.3 cm. Mark the point as R where the two arcs cross each other. Join the points P and R as well as R and Q.
4. By taking point P as a center, draw an arc with a radius of 2.7 cm.
5. By taking the point Q as a center, draw an arc with a radius of 4 cm.
6. Mark the point as S where the two arcs cross each other. Join the points Q and S as well as S and P.

The final result is the required quadrilateral.

Worksheet on Construction of Quadrilateral 5


5. Construct a quadrilateral ABCD in which AC = AD = 6 cm, BC = 7.5 cm , BD = 10 cm and CD = 5 cm. Measure the remaining side.

Solution:

Steps of Construction:
Given that a quadrilateral ABCD in which AC = AD = 6 cm, BC = 7.5 cm , BD = 10 cm and CD = 5 cm. Measure the remaining side.
1. Draw a line segment of length 6 cm and mark the ends as A and D.
2. Take point A as a center and draw an arc by taking the radius 6 cm.
3. Next, take point D as a center and draw an arc by taking the radius 5 cm. Mark the point as C where the two arcs cross each other. Join the points D and C.
4. By taking point D as a center, draw an arc with a radius of 10 cm.
5. By taking the point C as a center, draw an arc with a radius of 7.5 cm.
6. Mark the point as B where the two arcs cross each other. Join the points B and C as well as B and D.

The final result is the required quadrilateral.

Worksheet on Construction of Quadrilateral 6


6. Construct a quadrilateral PQRS in which PQ = 3.4 cm, RS = 3 cm, SP = 5.7 cm, PR = 8 cm and QS = 4 cm.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 3.4 cm, RS = 3 cm, SP = 5.7 cm, PR = 8 cm and QS = 4 cm.
1. Draw a line segment of length 3.4 cm and mark the ends as P and Q.
2. Take the point Q as a center and draw an arc by taking the radius 4 cm.
3. Next, take point P as a center and draw an arc by taking the radius 5.7 cm. Mark the point as S where the two arcs cross each other. Join the points Q and S as well as P and S.
4. By taking the point P as a center, draw an arc with a radius of 8 cm.
5. By taking the point S as a center, draw an arc with a radius of 3 cm.
6. Mark the point as R where the two arcs cross each other. Join the points R and S as well as P and R.

The final result is the required quadrilateral.

worksheet on construction on Quadrilateral 7


7. Construct a quadrilateral PQRS in which PQ = QR = 3.5 cm, PS = RS = 5.2 cm and ∠PQR = 120°.

Solution:

Steps of Construction:
Given that PQ = QR = 3.5 cm, PS = RS = 5.2 cm and ∠PQR = 120°.
1. Draw a line segment of length 3.5 cm and mark the ends as P and Q.
2. Take point Q as a center and make a point by taking 120º using a protector.
3. Next, take point Q as a center and draw an arc with a radius of 3.5 cm. Mark the point as R where the two points are meet at a point. Join the points Q and R.
4. By taking the point P as a center, draw an arc with a radius of 5.2 cm.
5. By taking the point R as a center, draw an arc with a radius of 5.2 cm.
6. Mark the point as S where the two arcs cross each other. Join the points P and S, R and S.

The final result is the required quadrilateral.

worksheet on Construction on Quadrilateral 8


8. Construct a quadrilateral PQRS in which PQ = 2.9 cm, QR = 3.2 cm, RS = 2.7 cm, SP = 3.4 cm and ∠P = 70°.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 2.9 cm, QR = 3.2 cm, RS = 2.7 cm, SP = 3.4 cm and ∠P = 70°.
1. Draw a line segment of length 2.9 cm and mark the ends as P and Q.
2. Take point P as a center and make a point by taking 70º using a protector.
3. Next, take point P as a center and draw an arc with a radius of 3.4 cm. Mark the point as S where the two points are meet at a point. Join the points P and S.
4. By taking the point S as a center, draw an arc with a radius of 2.7 cm.
5. By taking the point Q as a center, draw an arc with a radius of 3.2 cm.
6. Mark the point as R where the two arcs cross each other. Join the points Q and S, R and S.

The final result is the required quadrilateral.
worksheet on Construction on Quadrilateral 9


9. Construct a quadrilateral PQRS in which PQ = 3.5 cm, QR = 5 cm, RS = 4.6 cm, ∠Q = 125° and ∠R = 60°.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 3.5 cm, QR = 5 cm, RS = 4.6 cm, ∠Q = 125° and ∠R = 60°.
1. Draw a line segment of length 5 cm and mark the ends as Q and R.
2. Take point Q as a center and make a point by taking 125º using a protector.
3. Next, take point R as a center and make a point by taking 60º using a protector.
4. By taking the point Q as a center, draw an arc with a radius of 3.5 cm.
5. Mark the point as P where the two points are meet at a point. Join the points Q and P.
6. By taking the point R as a center, draw an arc with a radius of 4.6 cm.
7. Mark the point as S where the point and arc cross each other. Join the points P and S.

The final result is the required quadrilateral.
worksheet on Construction on Quadrilateral 10


10. Construct a quadrilateral ABCD in which AB = 6 cm, BC = 5.6 cm, CD = 2.7 cm, ∠B = 45° and ∠C = 90°.

Solution:

Steps of Construction:
Given that a quadrilateral ABCD in which AB = 6 cm, BC = 5.6 cm, CD = 2.7 cm, ∠B = 45° and ∠C = 90°.
1. Draw a line segment of length 6 cm and mark the ends as A and B.
2. Take point B as a center and make a point by taking 45º using a protector.
3. By taking the point B as a center, draw an arc with a radius of 5.6 cm.
5. Mark the point as C where the point and arc are meet at a point. Join the points B and C.
6. By taking the point C as a center, draw an arc with a radius of 2.7 cm.
7. Take point C as a center and make a point by taking 90º using a protector.
7. Mark the point as D where the point and arc cross each other. Join the points D and A, D and C.

The final result is the required quadrilateral.
worksheet on Construction on Quadrilateral 11


11. Construct a quadrilateral PQRS in which PQ = 5.6 cm, QR = 4 cm, ∠P = 50°, ∠Q = 105° and ∠S = 80°.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 5.6 cm, QR = 4 cm, ∠P = 50°, ∠Q = 105° and ∠S = 80°.
We know that ∠P + ∠Q + ∠R + ∠S = 360°
So, 50° + 105° + ∠R + 80° = 360°
∠R = 125°
1. Draw a line segment of length 5.6 cm and mark the ends as P and Q.
2. Take point P as a center and make a point by taking 50º using a protector. Also, take point Q as a center and make a point by taking 150º using a protector.
3. By taking the point Q as a center, draw an arc with a radius of 4 cm.
5. Mark the point as R where the point and arc are meet at a point. Join the points Q and R.
6. By taking the point R as a center, make a point by taking 125º using a protector.
7. Mark the point as S where the point and arc cross each other. Join the points S and P, S and R.

The final result is the required quadrilateral.
worksheet on Construction on Quadrilateral 12


12. Construct a quadrilateral ABCD in which AB = 5 cm, BC = 6.5 cm, ∠A = ∠C = 100° and ∠D = 75°.

Solution:

Steps of Construction:
Given that a quadrilateral ABCD in which AB = 5 cm, BC = 6.5 cm, ∠A = ∠C = 100° and ∠D = 75°.
We know that ∠A + ∠B + ∠C + ∠D = 360°
So, 100° + ∠B + 100° + 75° = 360°
∠B = 125°
1. Draw a line segment of length 5 cm and mark the ends as A and B.
2. Take point A as a center and make a point by taking 100º using a protector. Also, take point B as a center and make a point by taking 125º using a protector.
3. By taking the point B as a center, draw an arc with a radius of 6.5 cm.
5. Mark the point as C where the point and arc are meet at a point. Join the points B and C.
6. By taking the point C as a center, make a point by taking 100º using a protector.
7. Mark the point as D where the point and arc cross each other. Join the points D and A, D and C.

The final result is the required quadrilateral.
worksheet on Construction on Quadrilateral 13


13. Construct a quadrilateral PQRS in which PQ = 4 cm, PR = 5 cm, PS = 5.5 cm and ∠PQR = ∠PRS = 90°.

Solution:

Steps of Construction:
Given that a quadrilateral PQRS in which PQ = 4 cm, PR = 5 cm, PS = 5.5 cm and ∠PQR = ∠PRS = 90°.
1. Draw a line segment of length 4 cm and mark the ends as P and Q.
2. Take point Q as a center and make a point by taking 90º using a protector. Also, take point P as a center and make a point by taking 90º using a protector.
3. By taking the point P as a center, draw an arc with a radius of 5 cm.
5. Mark the point as R where the point and arc are meet at a point. Join the points Q and R.
6. By taking the point P as a center, draw an arc with a radius of 5.5 cm.
7. Mark the point as S where the point and arc cross each other. Join the points S and P, S and R.

The final result is the required quadrilateral.
worksheet on Construction on Quadrilateral 14


Free Printable Percentage Worksheets | Percentages Word Problems Worksheets for Practice

Percentage is a concept that children often difficulty with while solving related problems. There are several areas in percentages that you need to master in order to get grip on the concept. Our Percentage Worksheets include finding Percentage of a Number, Calculating Percentage Increase, Decrease, changing decimals to and from percents, etc. You will learn percentage is nothing but a fraction over 100. Learn useful tricks, converting between fractions to percentages, percentages, and parts of a whole expressed as a percent value.

Solve the Problems in the Percentage Worksheets with Solutions and cross-check where you went wrong. You will no longer feel the concept of percentage difficult once you start practicing these plethora of percent worksheets regularly. In fact, you can find different methods of solving the percentage related problems in no time along with a clear and straight forward description.

Quick Links for Percentage Concepts

Below is the list of Percentage Worksheets available for several underlying concepts. In order to access them, you just need to click on the quick links available and solve the related problems easily. Worksheets on Percentages will make students of different grades familiar with various concepts of Percentages such as Percentage Increase, Percentage Decrease, Conversion from Percentage to Decimal, Fraction, Ratio, and Vice Versa. Percentage Worksheets are free to download, easy to use, and flexible.

Final Words

We wish the information shared regarding Percentage Worksheets has shed some light on you. Make the most out of them to enhance your conceptual knowledge and stand out from the crowd. Bookmark our site to avail more worksheets on topics like Time and Work, Pipes and Cisterns, Exponents, etc.

Worksheet on Fraction into Percentage | Fraction to Percent Worksheet with Answers

In this worksheet, we can see about Percentages and how to convert fractions into percentages. Here, the Percent refers to per hundred. A percent can be represented as a decimal and fraction, which will be a number between zero and one. We can represent it using the percentage formula which is defined as a number that can be represented as a fraction of 100. If we want to turn a percentage into a decimal, we can just divide by 100. In the below sections, we can see how we can convert a fraction into a percentage.

To convert a fraction into a percentage, we will divide the numerator of the fraction by the denominator of the fraction, and then we will multiply the result by 100. Then we will get the result as a percent. Here, below we can see the solved examples. Refer to Percentage Worksheets to clear further queries on the concept.

1. Express the following fractions as a percentage:

(i) 7/20
(ii) 6/25
(iii) 9/13

Solution:

(i) 7/20
Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (7/20 × 100) %
= 35 %.

(ii) 6/25
Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (6/25 × 100) %
= 24 %

(iii) 9/13
Here, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/13 × 100) %
= 69.23 %


2. Convert 9/25 to percentage.

Solution:

9/25
To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/25 × 100) %
= 36 %


3. Convert the following statements in the percentage:

(i) 10 out of 25 people are sitting.
(ii) 45 oranges in a box of 250 are bad.

Solution:

(i) 10 out of 25 people are sitting.

To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= 10/25 people are sitting
= (10/25 × 100) % people are sitting
= 40 % people are sitting.

(ii) 45 oranges in a box of 250 are bad.

To convert into a percentage, we will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= 45/250 oranges are bad
= (45/250 × 100) % oranges are bad
= 18 % of oranges are bad.


4. Mike ate the 2/7th part of the pizza. How much percent did Mike eat?

Solution:

Mike ate 2/7th part of the pizza,
To find the percent how much did Mike eat, we will multiply the fraction with 100
2/7 × 100
On solving we will get approx 28%.


5. The total number of students in a class is 45 and in that 27 are boys. What will be the total percentage of boys in the class?

Solution:

The total number of students is 45
Of that 27 are boys
So the percentage of boys in the class are
27/45 × 100
On solving we will get 60%.


 

Worksheet on Ratio into Percentage | Express Ratio as a Percentage

In this Worksheet on Ratio into Percentage, we can see problems on Ratio into Percentage and know about how to convert a Ratio into Percentage. The term percent in the percentage means per hundred and the ratio refers to the comparison of values between the two numbers which shows that the size in relation to each other. Here, to find the ratio, we will multiply or divide each term in the ratio by the numbers.

So to convert the ratio into a percentage, we will add the given ratio, and then a certain number will be obtained. Then to find the percentage of the single part of the given ratio we will mention the part which we want to find as the numerator and then the total part in the denominator. And finally, to get the percentage we will multiply by 100. Then we can get the ratio converted into a percentage. To avail more information on conversion from percentage form to another form or from other forms to percentage you can refer to Percentage Worksheets.

1. Convert the following ratio into a percentage?

(i) 9 : 25

(ii) 2 : 10

(iii) 5: 20

Solution:

(i) 9: 25
We will place 9 in the numerator and 25 in the denominator
= 9/25
and then we will multiply by 100 to get the percentage
= (9/25 × 100) %
on solving we will get
= 36%

(ii) 2 : 10
We will place 2 in the numerator and 15 in the denominator
= 2/10
and then we will multiply by 100 to get the percentage
= (2/10 × 100) %
on solving we will get
= 20%.

(iii) 5: 20
We will place 5 in the numerator and 20 in the denominator
= 5/20
and then we will multiply by 100 to get the percentage
= (5/20 × 100) %
on solving we will get
= 25%


2. Convert each of the following ratios as fraction percentage?

(i) 3 : 40

(ii) 6 : 16

Solution:

(i) 3: 40
We will place 3 in the numerator and 40 in the denominator
= 3/40
and then we will multiply by 100 to get the percentage
= (3/40 × 100) %
on solving we will get
= 3/40%

(ii) 6: 16
We will place 3 in the numerator and 40 in the denominator
= 6/16
and then we will multiply by 100 to get the percentage
= (6/16 × 100) %
on solving we will get
= 75/2%


3. Express each of the following ratios into a decimal percent?

(i) 4 : 15

(ii) 3 : 20

(iii) 2: 30

Solution:

(i) 4: 15
We will place 4 in the numerator and 15 in the denominator
= 4/15
and then we will multiply by 100 to get the percentage
= (4/15 × 100) %
on solving we will get
=26.6 %

(ii) 5: 18
We will place 5 in the numerator and 18 in the denominator
= 5/18
and then we will multiply by 100 to get the percentage
= (5/18 × 100) %
on solving we will get
= 27.7 %

(iii) 2: 30
We will place 2 in the numerator and 30 in the denominator
= 2/30
and then we will multiply by 100 to get the percentage
= (2/30 × 100) %
on solving we will get
= 6.66%


4. The given angles of a triangle are in the ratio 2:2:1. Find the value of each angle and what will be the percent of each angle?

Solution:

The given angles are 2:2:1, so 2+2+1= 5 parts.

As we know that the sum of angles in a triangle is 180 degrees.
The measure of the first angle is 2/5 × 180= 72 degrees.
The measure of the second angle is 2/5 × 180= 72 degrees.
The measure of the third angle is 1/5 × 180= 36 degrees.
And to convert the given ratio to percent we will multiply by 100
The percentage for the first angle is 2/5 × 100= 40%
The percentage for the second angle is 2/5 × 100= 40%
The percentage for the third angle is 1/5 × 100= 20%


5.  In a class the total number of students in grade 8th is 50 and 26 of them are girls. Find the percentage of girl students in the class.

Solution:

The total number of students in grade 8th is 50 students.
The girl students are 26
The percentage of girl students in grade 8th is
26/50 ×100
on solving we will get
52%.


Worksheet on Percentage into Ratio | Converting Percentage to Ratio Worksheets

Worksheet on Percentage into Ratio and we can see about how to convert a percentage to ratio. In the term percentage, percent means per hundred and this percent can be represented in decimal and in the fractions also. The term ratio refers to the comparison of values between the two numbers which indicate their sizes in relation to each other. In a simple way, the ratio is derived by comparing two qualities by division with the dividend. To find the ratio, we can multiply or divide each term in the ratio by the number.

To convert Percentage into Ratio, we will divide the percentage by 100 to remove the percent % symbol. And we will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign in between the numbers. These are some steps to convert a percent into a ratio. Here below we can see some of the examples with solutions. To know more about the concept of Percentage you can always look up our Percentage Worksheets and clarify your concerns.

1. Covert each of the following percentage as the ratio in the least form:

(i) 50 %

(ii) 26 %

(iii) 160 %

Solution:

(i) 50 %

To convert Percentage into Ratio, we will divide the percentage by 100
= 50/100
and will reduce the given fraction into the simplest form
= 1/2
and then we will write the number with a ratio sign. On simplifying, we will get
= 1:2.

(ii) 26 %

To convert Percentage into Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with ratio sign
= 26/100
on simplifying we will get
= 1 : 5

(iii) 160 %

To convert Percentage into Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with ratio sign
= 160/100
on simplifying we will get
= 8 : 5


2.  Express each of the following rational numbers percentages into a ratio in the simplest form:

(i) 5/6 %

(ii) 25/4 %

Solution:

(i) 5/6 %
To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 5/6 × 1/100
on simplifying we will get
= 1 : 120

(ii) 25/4 %
To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 25/4 × 1/100
on simplifying we will get
= 1 : 16


3. Convert the following decimal percentage as ratios in the simplest form:

(i) 20.5 %

(ii) 0.5 %

Solution:

(i) 20.5 %
To convert a decimal number Percentage into Ratio. First, we will remove the decimal point by dividing with 10 and then we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 205/10 %
= 205/10 × 1/100
on simplifying we will get
= 41 : 200.

(ii) 0.5 %
To convert a decimal number Percentage into Ratio First, we will remove the decimal point by dividing with 10 and then we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with ratio sign
= 5/10 %
= 5/10 × 1/100
on simplifying we will get
= 1 : 200.


4. In a class the total pass percentage of boys is 65%. Show the percent into ratio.

Solution:

The pass percentage of the boys are 65%, so
= 65/100
on solving we will get
= 13:20


Worksheet on Percentage into Fraction | Percentage to Fraction Worksheets with Answers

The worksheet contains converting a Percentage into a fraction, word problems on Percentage into Fraction. These percentages and fractions can be seen in our daily life. In schools and colleges, students can see their marks in percentage. The Percent refers to per hundred and a percent can be represented as a decimal and fraction based on the need.

To convert Percentage into Fraction, we will divide the given number by 100, then we will get a decimal number. Then, if the number is not a whole number. We will multiply both numerator and denominator with 10 for every number after the decimal point. Then we will get the fraction. Practice the Percentage to Fraction Worksheet with Answers and test your preparation level. You can check out Percentage Worksheets for more information regarding the same.

1. Convert each of the following percentages into a fraction in the least terms?

(i) 20 %

(ii) 36 %

(iii) 6 %

Solution:

(i) 20 %
Here we will divide the given percent by 100, then we will get the result.
= 20/100
= 1/5.

(ii) 36 %
Here we will divide the given percent by 100, then we will get the result.
= 36/100
= 9/25.

(iii) 6 %
Here we will divide the given percent by 100, then we will get the result.
= 6/100
= 3/50.


2. Convert 35 percent to fraction.

Solution:

To convert percent to a fraction, we will divide the given percent by 100, then we will get the result.
35 %
= 35/100
= 7/20


3. Express each of the following percentages as fractions in the least terms:

(i) 32 %

(ii) 46 %

(iii) 40 %

Solution:

(i) 32 %
Here we will divide the given percent by 100, then we will get the result.
= 32/100
= 8/25.

(ii) 46 %
Here we will divide the given percent by 100, then we will get the result.
= 46/100
= 23/50.

(iii) 40 %
Here we will divide the given percent by 100, then we will get the result.
= 40/100
= 2/5.


4. Convert each of the decimal percentages as fractions in the least terms:

(i) 2.5 %

(ii) 0.2 %

(iii) 42.5%

Solution:

(i) 2.5 %
Here we will remove the decimal point by diving the decimal with 10 and then we will divide the given percent by 100, then we will get the result.
= 25/10 %
= 25/10 × 1/100
= 5/200
= 1/40.

(ii) 0.2 %
Here we will remove the decimal point by diving the decimal with 10 and then we will divide the given percent by 100, then we will get the result.
= 2/10 %
= 1/5 × 1/100
= 1/500.

(iii) 42.5%
Here we will remove the decimal point by diving the decimal with 10 and then we will divide the given percent by 100, then we will get the result.
= 425/10 %
= 425/10 × 1/100
= 17/40.


Worksheet on Increase Percentage | Percent Increase Worksheets with Solutions

Students can use this worksheet on Increase Percentage while practicing for their examinations or any other competitive tests. This Worksheet on Percentage Increase contains the concept increase in the percentage. As we know that percentage means per hundred which is used to share the amount in terms of hundred.  In this Increase Percent Worksheet, you can find about how to solve the questions on increase percentage. In the below sections, you can find how to calculate increase percent along with solved examples and understand the concept better.

To know more such related concepts of Percentages you can refer to the Percentage Worksheets available on our site and get a good hold of the concept.

How to Calculate Percentage Increase?

To calculate Increase Percentage, First, we will find the difference between the original number and the new number.
Increase = Original number – New number.
After that, we will divide the number(increase) by the original number. And then to convert into a percentage, we will multiply the number by 100. We will calculate the %Increase by using the formula
%increase = increase / original number × 100
By this method, you can calculate the increase in the percentage. In the below, you can see some of the solved examples on Increase Percentage.

1.  Find out the Increase Percentage of the given below:

(i) 50 by 5%

(ii) 90 by 20%

(iii) 60 by 15%

(iv) 32 by 8%

Solution:

(i) 50 by 5%

The given value is 50 by 5%,
As the number 50 was increased by 5%,
So, first, we will find the new number,
As a new number= 50 + increased percentage,
which means
= 50 + (5% ×50)
on solving we will get 52.5.

(ii) 90 by 20%

The given value is 90 by 20%,
As the number 90 was increased by 20%,
So first, we will find the new number,
As a new number= 90 + increased percentage,
which means
= 90 + (20% ×90)
on solving we will get 108.

(iii) 60 by 15%

The given value is 60 by 15%,
As the number 60 was increased by 15%,
So, first, we will find the new number,
As a new number= 60 + increased percentage,
which means
= 60 + (15% ×60)
on solving we will get 69.

(iv) 32 by 8%

The given value is 32 by 8%,
As the number 32 was increased by 8%,
So, first, we will find the new number,
As a new number= 32 + increased percentage,
which means
= 32 + (8% ×32)
on solving we will get 34.56.


2. Solve out the number when increased by:

(i) 2.6% becomes 520

(ii) 25% becomes 1000

(iii) 33% becomes 1650

Solution:

(i) 2.6% becomes 2052

Here, we should find out the number,
So the number be X
as given 2.6% was increased,
So, increased number= X +(2.6% × X), on solving we will get
= 1.026X
given that the number which when increased by 2.6% becomes 2052, which means
1.026X =2052, on solving we will get
X = 2,000.

(ii) 25% becomes 1000

Here, we should find out the number,
So the number be X
as given 25% was increased,
So, increased number= X +(25% × X), on solving we will get
= 1.25X
given that the number which when increased by 25% becomes 1000, which means
1.25X =1000, on solving we will get
X = 800.

(iii) 33% becomes 6650

Here, we should find out the number,
So the number be X
as given 33% was increased,
So, increased number= X +(33% × X), on solving we will get
= 1.33X
given that the number which when increased by 1.33% becomes 6,650, which means
1.33X =6,650, on solving we will get
X = 5,000.


3. In a class the strength of the girl students increased from 30 to 42. What is the percentage increased?

Solution:

First, we will find the increased number 42-30= 12,
then we will find the % of the increased
= 12/30 ×100
on solving 40%
So, the increased percentage is 40%.


4. What number must the given number be multiplied to increase the number by 30%.

Solution:

Let the number be X,
as X is increased by 30%, which means
X + 30% × X, on solving we will get 1.3X.
So, the number to be multiplied by 1.3.


5. Mike’s salary was increased by 15% on his salary. If Mike’s new salary is Rs 65,000, find his previous salary.

Solution:

Let the previous salary be X,
Mike’s salary was increased by 15%, which means
15% of X,
To find the new salary, we will add the previous salary and the increment,
which means
New salary = Pervious salary + Increment,
X + 15% of X = 65,000, on solving we will get
= Rs 56,521.74.
So the previous salary is Rs 56,521.74.


Worksheet on Finding Value of a Percentage | Calculating Value of a Percent Worksheets

The Worksheet on Finding the value of a Percentage helps the scholars and the individuals preparing for their examinations or for any competitive tests. In this worksheet, you can find different types of questions with answers. As we know the percent means per hundred and it is used to share the amount in terms of hundred. Here, we will discuss finding the value of the percentage in detail with solved examples below. If you have any further doubts on how to approach and all you can check our Percentage Worksheets available to get grip on the concepts.

How to Find the Value of a Percentage?

To find the value of a percentage, as we know that percent means per hundred, so first, we will multiply the given value by 100, and then we will add the percent symbol to the result that we will get. Let’s see in detail about finding the value of a percentage with some of the examples which are solved below.

1. Figure out the value of X for the following below?

(i) 15% of X is 450

(ii) 20% of X is 25 cm

(iii) 7.7% of X is 70 kg

(iv) 6% of X in 30 minutes.

Solution:

(i) 15% of X is 450

Here, we should find the value of X, so the number X,
As given 15/100 × X = 450
450/15 ×100=
on solving, we will get 3000
So the value of X is 3000.

(ii) 20% of X is 25 cm

Here, we should find the value of X, so the number X,
As given 20/100 × X = 25
25/20 ×100=
on solving, we will get 125
So the value of X is 125cm.

(iii) 7.7% of X is 70 kg

Here, we should find the value of X, so the number X,
As given 7.7/100 × X = 70
7.7/70 ×100=
on solving, we will get 11
So the value of X is 11kg.

(iv) 6% of X in 30 minutes.

Here, we should find the value of X, so the number X,
As given 6/100 × X = 30
30/6 ×100=
on solving, we will get 500
So the value of X is 500 minutes.


2. What will be the number if 3.2% of the number is 800?

Solution:

Let the number X,
As given 3.2% of the number is 800, which means
3.2/100 × X = 800
800/3.2 ×100=
on solving, we will get 25,000
So the number is 25,000.


3. Fill up the below:

(i) 60 is 12% of ________.

(ii) 350 kg is 70% of_________.

(iii) 50 hours is 25 % of ________.

Solution:

(i) 60 is 12% of ________.

Let the number X,
As given 60 is 12%, which means
12/100 × X = 60
60/12 ×100=
on solving, we will get 400
So, 60 is 12% of 400.

(ii) 350 kg is 70% of_________.

Let the number X,
As given 350 is 70%, which means
70/100 × X = 350
350/70 ×100=
on solving, we will get 500
So, 350 kg is 70% of 500 kg.

(iii) 50 hours is 25 % of ________.

Let the number X,
As given 50 is 25%, which means
25/100 × X = 50
50/25 ×100=
on solving, we will get 200
So, 50 hours is 25 % of 200 hours.


4. Solve the number whose 16 2/3% is 250?

Solution:

Let the number be X,
As given 16 2/3% is 250, which means
50/100×3 × X= 250
Therefore X is
250×3 ×100 / 50=
on solving, we will get 1,500.


5. What is the number, if 90 is 18% of a number.

Solution:

Let the number be X,
As given 90 is 18% which means,
18/100 × X = 90
Therefore X is
90×100 / 90 =
on solving, we will get 500.
So the number is 500.


6. Solve the following to find the number.

(i) 90 is 9% of which number

(ii) 6 is 10% of which number

(iii) 200 is 20% of which number

Solution: (i) 90 is 9% of which number

Let the number be X,
As given 90 is 9% which means,
9/100 × X = 90
Therefore X is
90/9 × 100 =
on solving, we will get 1000.
So the number is 1000.

(ii) $6 is 10% of which number

Let the number be X,
As given $6 is 10% which means,
10/100 × X = 6
Therefore X is
6/10 × 100 =
on solving, we will get 60.
So the number is 6.

(iii) 200 is 20% of which number

Let the number be X,
As given 200 is 20% which means,
20/100 × X = 200
Therefore X is
200/20 × 100 =
on solving, we will get 1000
So the number is 1000.


7. Mr. Mike bought 5 dozens of eggs from the store, out of that 15% was broken. How many eggs are in a stable condition?

Solution:

The total number of eggs Mike bought are 6 dozens,
As we know 1 dozen= 12, so
5 dozens= 60 eggs,
in that 15% of eggs are broken, which means
15/100 × 60=
on solving, we will get 9.
So, the number of eggs in a stable condition is 51 eggs.


Worksheet on Expressing Percent | Expressing Percent Worksheet with Solutions

Do you want to know more about the concept of Expressing Percentage? Then the Worksheet on Expressing Percent helps you to know more about expressing percentages by providing solved examples. Expressing Percentage means the percentage will be expressed in terms of fractions or decimals or in ratio. In the below sections, you will find different questions on Expressing Percent.

To Express Percentage, we will convert a fraction into a percentage. We will divide the numerator of the fraction by the denominator of the fraction, and we will multiply the result by 100. Then we will get the result in a percent. To know more about details on finding the percentage of a number, conversion from percentage to decimal, fraction, or ratio you can refer to Percentage Worksheets. In the below, we can see the solved examples.

1. Solve the following fractions as a percentage:

(i) 8/50
(ii) 20/125
(iii) 9/45

Solution:

(i) 8/50
We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (8/50 × 100) %
= 16 %.

(ii) 20/225

We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (20/225 × 100) %
= 8.89 %.

(iii) 9/45

We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/45 × 100) %
= 20 %.


2. Covert each of the following percentage as the ratio in the least form:

(i) 60 %

(ii) 125 %

(iii) 240 %

Solution:

(i) 60 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 60/100
reduce the given fraction into the simplest form
= 3/5
and then we will write the number with a ratio sign. On simplifying, we will get
= 3:5.

(ii) 125 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 125/100
reduce the given fraction into the simplest form
= 5/4
and then we will write the number with a ratio sign. On simplifying, we will get
= 5:4.

(iii) 240 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 240/100
reduce the given fraction into the simplest form
= 12/5
and then we will write the number with a ratio sign. On simplifying, we will get
= 12:5.


3. Convert the following percent as decimals:

(i) 8%

(ii) 45%

(iii) 12.5%

Solution:

(i) 8%
The given percent is 8%, and we will divide the given value with 100
= 8/100
on solving, we will get the result in decimals
= 0.08

(ii) 45%

The given percent is 8%, and we will divide the given value with 100
= 45/100
on solving, we will get the result in decimals
= 0.45

(iii) 12.5%

The given percent is 12.5%, and we will divide the given value with 100
= 12.5/100
on solving, we will get the result in decimals
= 0.125


4. Smith spends 24% on his monthly income. Express this in decimals?

Solution:

Smith spends 24% of his income,
to express in decimals, we will divide by 100,
24/100
on solving, we will get the result in decimals
0.24


5. The laptop was marked at a price of $25,000 and decreased to $20,000. Find the percentage decrease?

Solution:

The original price of the laptop is $25,000,
and decreased to $20,000,
Amount decreased is $25,000 – $20,000
which is $5,000.
the percentage decreased is 5,000/25,000 × 100
= 20%.


6. In an examination the pass percentage is 85 %. The number of students who fail is 300, Find the total number of students.

Solution:

Let the number of students be X,
the total number of students failed are 300,
the pass percentage of the class is 85%,
and the failure percentage is 100-85,
which is 15%, so
15/100 × X = 300,
on solving, we will get
2,000.
The total number of students is 2,000.


Worksheet on Percent Problems | Percentage Word Problems Worksheet with Answers

In this Worksheet on Percent Problems, you can find various types of questions on Percentage. You can have some solved examples which help students in preparing for their examinations. The questions in the Percentage Worksheet are about the conversion of percentages, decimals, and ratios. Refer to the Step by Step Solutions provided for Percent Problems and Clear the Exam with Better Grades. Resolve all your queries taking the help of the Percentage Worksheets. Practice using the Percentage Word Problems Worksheet and get acquainted with the concept better.

1. Convert each of the following into a Percentage:

(i) 6/15

(ii) 3/25

(iii) 0.25

(iv) 2 2/5

Solution:

(i) 6/15
The given fraction is 6/15,
to convert the given fraction into a percentage,
we will multiply the fraction by 100,
6/15 ×100,
on solving, we will get 40%.

(ii) 3/25

The given fraction is 3/25,
to convert the given fraction into a percentage,
we will multiply the fraction by 100,
3/25 ×100,
on solving, we will get 12%.

(iii) 0.25

The given decimal is 0.25,
to convert the given decimal into a percentage,
we will multiply the fraction by 100,
0.25 ×100,
on solving, we will get 25%.

(iv) 2 2/5

The given fraction is 2 2/5,
which is 12/5
to convert the given fraction into a percentage,
we will multiply the fraction by 100,
12/5 ×100,
on solving, we will get 240%.


2. Which of the following is equal to 45%?

a) 0.45
b) 0.0045
c) 9/25
d) 0.045

Solution:

The given percent is 45%,
now we will divide the given value with 100
= 45/100
on solving, we will get the result in decimals
= 0.45.
So the option a is the correct option.


3. Solve out the number when increased by:

(i) 3.2% becomes 360

(ii) 30% becomes 7,800

(iii) 25% becomes 1,800

Solution:

(i) 3.2% becomes 360
Here, we should find out the number,
So the number be X
as given 3.2% was increased,
So, increased number= X +(3.2% × X), on solving we will get
= 1.032X
given that the number which when increased by 2.6% becomes 360, which means
1.032X =360, on solving we will get
X = 348.83.

(ii) 30% becomes 7800

Here, we should find out the number,
So the number be X
as given 30% was increased,
So, increased number= X +(30% × X), on solving we will get
= 1.3X
given that the number which when increased by 1.3% becomes 7,800, which means
1.3X =7800, on solving we will get
X = 6,000.

(iii) 25% becomes 1800

Here, we should find out the number,
So the number be X
as given 25% was increased,
So, increased number= X +(25% × X), on solving we will get
= 1.25X
given that the number which when increased by 25% becomes 1800, which means
1.25X =1800, on solving we will get
X = 1,440.


4. Solve the following:

(i) 90 cm as a percent of 3 m.

(ii) 40 mins as a percent of 3 hours.

(iii) 2.25 mm as a percent of 0.5 cm.

Solution:

(i) 90 cm as a percent of 3 m.
Given 90 cm of 3m,
as 1m= 100 cm, so first we will convert meters to centimeters
3m= 300 cm,
90/300 × 100 =
on solving we will get the result as
= 3%.

(ii) 40 mins as a percent of 3 hours.

Given 40 mins of 3 hours,
as 1 hour = 60 minutes, so we will convert hour to minutes,
3 hours= 180 minutes,
40/180 × 100=
on solving we will get the result as
22.22%.

(iii) 2.25 mm as a percent of 0.5 cm.

Given 2.25mm of 0.5 cm
as 1 cm= 10 mm, so we will convert cm to mm
0.5 cm = 5 mm,
2.25/5 × 100=
on solving we will get
45%.


5. Express each of the following rational numbers percentages into a ratio in the simplest form:

(i) 8/7 %

(ii) 25/6 %

Solution:

(i) 8/18 %
To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 8/7 × 1/100
on simplifying we will get
= 2 : 175.

(ii) 25/6 %

To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 25/6 × 1/100
on simplifying we will get
= 1 : 24.


6. what will be the percent of each angle if the angles of a triangle are 4:2:4?

Solution:

The given angles are 4:2:4, so 4+2+4= 10 parts.
To convert the given ratio to percent we will multiply by 100
The percentage for the first angle is 4/10 × 100= 40%
The percentage for the second angle is 2/10 × 100= 20%
The percentage for the third angle is 4/10 × 100= 40%.