# Percentages

## Overview

Understanding the concept of percentages is fundamental in the study of General Mathematics. Percentages are used to express a fraction of a whole as a part per hundred. This topic delves into the application of percentages in various real-life scenarios, equipping students with the necessary skills to calculate percentages mentally and using written methods.

Calculating percentages mentally involves quick mental math skills, enabling individuals to make rapid calculations that are essential in many situations. By mastering mental calculations, students can efficiently analyze data, make informed decisions, and solve problems accurately.

On the other hand, utilizing written methods for percentage calculations provides a structured approach to solving more complex problems. This involves understanding the relationship between the whole, the part, and the percentage, facilitating thorough computations and ensuring precision in results.

Applying percentages in real-life situations and problem-solving scenarios is a crucial objective of this topic. Percentages are ubiquitous in everyday life, from calculating discounts during shopping to determining interest rates on loans. By grasping the concept of percentages and its practical applications, students can navigate financial transactions, interpret statistical data, and make informed decisions based on percentage values.

Furthermore, mastering the skill of working with percentages enables individuals to analyze trends, compare values, and interpret information effectively. Whether it is calculating tax amounts, analyzing growth rates, or understanding profit margins, percentages play a vital role in various fields such as finance, business, and statistics.

Overall, the study of percentages provides a foundational understanding of proportionality and relative comparisons. By honing their abilities to calculate, apply, and interpret percentages, students develop essential mathematical skills that are indispensable in both academic and real-world settings.

## Objectives

1. Calculate percentages mentally and using written methods
2. Understand the concept of percentages
3. Apply percentages in real-life situations and problem-solving scenarios

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## Lesson Evaluation

Congratulations on completing the lesson on Percentages. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

1. What is 25% of 80? A. 12 B. 20 C. 25 D. 30 Answer: A. 20
2. If a shirt originally costs $40 and is on sale for 20% off, what is the sale price? A.$30 B. $32 C.$36 D. $38 Answer: B.$32
3. Mai calculated his monthly expenses which amounted to $1200. If he spends 15% of his income on rent, how much does he spend on rent each month? A.$150 B. $180 C.$200 D. $220 Answer: A.$150
4. If 40% of a number is 48, what is the number? A. 100 B. 120 C. 140 D. 160 Answer: B. 120
5. A business increased its revenue by 25%. If the original revenue was $8000, what is the new revenue? A.$9000 B. $10000 C.$10500 D. $11000 Answer: B.$10000
6. If a computer is discounted by 15% and the new price is $850, what was the original price? A.$950 B. $1000 C.$1050 D. $1100 Answer: D.$1000
7. Sara solved 80% of the math problems in her textbook. If there were 50 problems in total, how many problems did she solve? A. 35 B. 40 C. 45 D. 50 Answer: B. 40
8. If 30 is 15% of a number, what is that number? A. 150 B. 200 C. 250 D. 300 Answer: D. 200
9. A laptop that originally costs $1200 is now on sale for 10% off. What is the sale price? A.$1080 B. $1100 C.$1180 D. $1200 Answer: A.$1080
10. If a pizza is cut into 8 equal slices and you eat 3 slices, what percentage of the pizza did you eat? A. 25% B. 30% C. 35% D. 40% Answer: C. 37.5%

## Past Questions

Wondering what past questions for this topic looks like? Here are a number of questions about Percentages from previous years

Question 1

Give the number of significant figures of the population of a town which has approximately 5,020,700 people

Question 1

How many students scored less than 7 marks?

Question 1

A surveyor measured the length of a obtained 42.55 metres. If his measurement was more than the actual length and the percentage error of his measurement was 8%, calculate the actual length of the land

Practice a number of Percentages past questions