General Mathematics WAEC

Percentages

Gbogbo ọrọ náà

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.

Ebumnobi

  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

Akwụkwọ Ọmụmụ

Avaliableghị

Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Percentages. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  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%

Ajụjụ Nnyocha

Nna, you dey wonder how past questions for this topic be? Here be some questions about Percentages from previous years.

Ajụjụ 1 Ripọtì

How many students scored less than 7 marks?


Ajụjụ 1 Ripọtì

A car dealer bought a used car for ₦270,000 and spent ₦70,000 to refurbish it. He later sold the car for ₦490,000. What was the percentage profit?

Akọwa Nkọwa

To find the percentage profit, you first need to calculate two things:

  • The total cost (how much the dealer spent altogether)
  • The profit (how much more money he got from selling than he spent)

Step 1: Calculate the total cost.
The dealer bought the car for ₦270,000 and spent ₦70,000 to refurbish it.
So, the total cost is:

\[ \text{Total Cost} = 270,000 + 70,000 = 340,000 \]

Step 2: Calculate the profit.
He sold the car for ₦490,000. Profit is the amount received from selling minus the total cost:

\[ \text{Profit} = 490,000 - 340,000 = 150,000 \]

Step 3: Calculate the percentage profit.
Percentage profit is found by dividing the profit by the total cost and then multiplying by 100 to get a percentage:

\[ \text{Percentage Profit} = \frac{\text{Profit}}{\text{Total Cost}} \times 100 \] \[ \text{Percentage Profit} = \frac{150,000}{340,000} \times 100 \]

Step 4: Work out the percentage:

\[ \frac{150,000}{340,000} = 0.4412 \] \[ 0.4412 \times 100 = 44.12\% \]

Therefore, the percentage profit is approximately 45%.


Key Points:

  • Percentage profit is always calculated on the total amount spent (cost price), not on the selling price.
  • It's important to include both the purchase price and the refurbishment cost in the total cost before finding the profit.

Ajụjụ 1 Ripọtì

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