Questions and Answers
What percentage of teachers at Westvale High are men if 48 of the 75 teachers are women?
How much interest did Kayla pay on her credit card if she spent $730 at an interest rate of 13.49%?
How many students went on the school camp if there are 204 students in Year 8 and 88% attended?
What is the weekly tax Will pays if he earns $844 and 28% of his income is taxed?
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If 39% of a national survey of 12,270 citizens desired a new Australian flag, how many people does this represent?
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What is the new population of Australia after a 1.1% increase on a total population of 25,450,200?
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If a soccer team won 72% of 75 games, how many games did they actually win?
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What is the price of headphones marked at $109 after adding a GST of 12%?
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Study Notes
Driving Knowledge Test
- Mohammed scored 54 correct answers out of 60, achieving a percentage of 90%.
Soccer Team Performance
- A soccer team won 72% of the games played, totaling 54 wins out of 75 games.
Discount Comparison
- Brown’s store offers a 15% discount.
- Wong’s store offers a ( \frac{1}{6} ) (approximately 16.67%) discount.
- Wong's store provides the better discount.
National Survey on Australian Flag
- In a survey of 12,270 citizens, 39% expressed a desire for a new Australian flag, amounting to 4,785 people.
Percentage Equivalents for Changes
- Increasing by 5% equals multiplying by 105%.
- An increase of 12% corresponds to multiplying by 112% (or 1.12).
- A decrease of 16% corresponds to multiplying by 84% (or 0.84).
- A decrease of 9% corresponds to multiplying by 91% (or 0.91).
Smartwatch Ownership Increase
- Last year, 6,420,510 Australians owned a smartwatch; this year, a 9% increase results in approximately 6,999,555 owners.
Credit Card Interest
- Kayla spent $730 with 13.49% interest, resulting in approximately $98.65 in interest charges.
Survey on Gun Laws
- Out of 7,400 surveyed, 2,812 approved of stricter gun laws, equating to approximately 38% approval.
Income Tax Calculation
- Will pays 28% tax on his weekly income of $844, amounting to approximately $236.32 in tax.
Car Depreciation
- Steve’s car depreciated by 18% from its last year value of $21,065, resulting in a current value of approximately $17,254.30.
Teacher Gender Ratio
- At Westvale High, 48 out of 75 teachers are women, indicating that 36% of the teachers are men.
Year 8 School Camp Participation
- Out of 204 Year 8 students, 88% went to school camp, totaling 180 students; 12% or 24 students stayed home.
Australia's Population Growth
- Australia’s population of 25,450,200 grew by 1.1%, resulting in a new population of approximately 25,696,882.
Smoking Employees
- At an office with 82 employees, 17% smoke, meaning approximately 14 people smoke.
Headphones Price Calculation
- Headphones marked at $109 after a 12% GST results in a final price of approximately $122.08.
GST on Camera Purchase
- A $172 camera with a GST of $12.04 implies a GST rate of approximately 7%.
Holiday Savings
- Nala saved $3,085, which represents 62% of her trip's total cost, amounting to a full trip cost of approximately $4,973.
Random Breath Testing Results
- Out of 8,400 drivers tested for drink driving, 105 were charged, accounting for approximately 1.25%.
- If 16% of those charged were women, approximately 89 men were charged.
Scooter Sale Price Calculation
- A scooter marked at $89 with a 15% discount results in a sale price of approximately $75.65.
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Description
Test your knowledge of percentage calculations and discount comparisons with this quiz. You'll tackle problems involving correct answers, game wins, and survey statistics to sharpen your math skills. Perfect for anyone looking to enhance their understanding of percentages in real-world scenarios.
