Create a quiz with examples of each of these math topics: Finding a Percentage and Expressing as a Percentage, Decreasing and Increasing by a Percentage, The Goods and Services Tax... Create a quiz with examples of each of these math topics: Finding a Percentage and Expressing as a Percentage, Decreasing and Increasing by a Percentage, The Goods and Services Tax (GST), Calculating Percentage Change, Profit and Loss, Solving Percentage Problems with the Unitary Method and Equations. Read more

Steps to Solve

1. Identify the math topics required for the quiz

We need to focus on the following specific topics related to percentages:

• Finding percentages
• Increasing or decreasing values by a percentage
• Understanding GST (Goods and Services Tax)
• Calculating percentage change
• Profit and loss
• Solving percentage problems using the unitary method and equations

2. Create quiz questions for each topic

Here are example questions for each topic:

Finding Percentages:
What is 25% of 80?
Solution: $0.25 \times 80 = 20$

Increasing Values by a Percentage:
A shirt costs $50. If the price increases by 20%, what is the new price?
Solution: $50 + (0.20 \times 50) = 50 + 10 = 60$

Decreasing Values by a Percentage:
A laptop costs $600. If it is sold for 15% off, what is the sale price?
Solution: $600 - (0.15 \times 600) = 600 - 90 = 510$

Understanding GST:
A product is sold for $200 before GST. If GST is 10%, what is the total price including GST?
Solution: $200 + (0.10 \times 200) = 200 + 20 = 220$

Calculating Percentage Change:
The price of a book increased from $30 to $45. What is the percentage change?
Solution: Percentage Change = $\frac{(New Price - Old Price)}{Old Price} \times 100$
= $\frac{(45 - 30)}{30} \times 100 = 50%$

Profit and Loss:
A person bought a bicycle for $300 and sold it for $360. What is the profit percentage?
Solution: Profit = Selling Price - Cost Price = $360 - 300 = 60$
Profit Percentage = $\frac{Profit}{Cost Price} \times 100 = \frac{60}{300} \times 100 = 20%$

3. Review the questions and answers

Check each question and ensure that the answers presented show the calculations clearly.