Math Puzzles

Puzzle time! Can you solve these Percentage Questions?

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17th November 2020

Reading Time: 4 Minutes

Introduction

Math puzzles help children not only gain a deeper insight into mathematical concepts but also strengthen their critical thinking skills. Keeping this in mind, we have designed a fun and engaging math puzzle that will help your child understand math in a fun way.


What is the Percentage?

"Percent" comes from the Latin Per Centum. The Latin word Centum means 100, for example, a Century is 100 years.


History of Percentage?

In Ancient Rome, long before the existence of the decimal system, computations were often made in fractions in the multiples of 1/100 For example, Augustus levied a tax of 1/100 on goods sold at auction known as centesimal Rerum valium. Computation with these fractions was equivalent to computing percentages.

As denominations of money grew in the Middle Ages, computations with a denominator of 100 became increasingly standard, such that from the late 15th century to the early 16th century, it became common for arithmetic texts to include such computations. Many of these texts applied these methods to profit and loss, interest rates, and the Rule of Three. By the 17th century, it was standard to quote interest rates in hundredths.


The Formula of Percentage?

P × V1 = V2

P is the percentage, V1 is the first value that the percentage will modify, and V2 is the result of the percentage operating on V1. The calculator provided automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not it’s decimal representation.


Basic Problems on Percenatge?

Problem 1

 

 

What is 30 % of 80?

Solution

30 % of 80
= 30/100 × 80
= (30 × 80)/100
= 2400/100

= 24
Problme 2

 

 

In a class of 50 students, 40 % are girls. Find the number of girls and number of boys in the class?

Solution

Number of girls in the class = 40 % of 50
                                     = 40/100 × 50
                                     = 2000/100 
                                     = 20
Number of boys in the class = Total number of students in the class - Number of girls
                                      = 50 – 20
                                    
 

 = 30    

Also please refer to :

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Also, try:


How to develop Problem-solving skills

The four stages of problem-solving

  • Define the problem
  • Brainstorm alternatives
  • Choose the best strategy
  • Implement your solution

Conclusion

In this blog, we can learn about percentages which will result in developing problem-solving skills and reasoning.

A kid needs to make sure they understand the concept practically with live examples and he\she need to practice it more and memorize the formulas and understand the concept.

Math puzzles enable children to visualize concepts, and thus understand math concepts better and faster. Cuemath helps students prepare better by helping them prepare better with over 15000+ workbook problems, 180+ puzzle cards, including several engaging math games that help students understand the ‘why’ behind the ‘what’ of math concepts, thereby enabling them to learn better.


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FAQ’s

What is the formula for a percentage increase in Excel?

If want to calculate a percentage increase in Excel (i.e. increase a number by a specified percentage), this can be done by simply multiplying the number by 1 + the percentage increase. - which gives the result 60. Note that, in the above formula: The % operator tells Excel to divide the preceding number by 100.

How do you convert a percentage to GPA?

100% is taken to be 100 points hence, 25 points in percentage are equal to 1 GPA in the GPA system. Divide your percentage with 100 and then multiply it by 4. For example – 80/100*4 = 3.2 GPA.

What is the formula to calculate percentage of marks?

To find the percentage of the marks, divide the marks obtained in the examination with the maximum marks and multiply the result with 100. Example 1: If 1156 is the total score obtained in the examination out of 1200 marks, then divide 1156 by 1200, and then multiply it by 100.

How do I calculate a percentage of a total?

A percentage of a total is equal to the subset of a total divided by the total, then multiplied by 100. If your community has 230 people in it, you can calculate the percentage of people with a library card. First, you divide 38 by 230, then multiply that total by 100.

How do I calculate percentage on calculator?

If your calculator has a “%” button. Let's say you wanted to find 19 percent of 20. Press these buttons: 1 9 % * 2 0 = ...
If your calculator does not have a “%” button. Step 1: Remove the percent sign and add a couple of zeros after the decimal point. 19% becomes 19.00.

How do I calculate a percentage between two numbers?

First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.


External References

To learn more about percentages click on the below link:

Percenatge

Teachers' tricks for percentages


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