Yr 8 Percentages Review

Convert 45 out of 60 to a percentage, rounding to 1 decimal place.

• 75.0%

• 74.5%

• 75.5%

• 76.0%

Answer explanation

To convert 45 out of 60 to a percentage, divide 45 by 60 and multiply by 100. This gives 0.75, which is 75.0% when rounded to 1 decimal place.

Calculate 15% of 240.

• 36

• 34

• 38

• 40

Answer explanation

To calculate 15% of 240, you multiply 240 by 0.15 (the same as 15/100) which equals 36. Therefore, the correct answer is 36.

What is 15% of $800?

What is 125% of $400?

• $500

• $450

• $550

• $600

Answer explanation

To find 125% of $400, multiply $400 by 125/100. Therefore, 125% of $400 is $500.

During a clearance event, what is the discount on a sweater priced at $60 if there is a 20% discount?

• $10.00

• $12.00

• $15.00

• $20.00

Answer explanation

To calculate the discount, multiply the price of the sweater ($60) by the discount percentage (20%), which gives $12.00 as the discount amount.

If a bag of fertilizer is normally $3.50 and there is a 15% off sale on all gardening supplies, what is the new price?

• $2.98

• $3.00

• $2.95

• $2.97

Answer explanation

To find the new price after a 15% discount, subtract 15% of $3.50 from $3.50: $3.50 - ($3.50 * 0.15) = $2.98. Therefore, the new price is $2.98.

Lucas invested $500 in a savings account at the start of the year and earned $15 in interest by the year's end. Mia invested $400 in a different account and received $12.80 in interest. Who got the better interest rate?

• Lucas

• Mia

• Both received the same interest rate

• It's impossible to tell

Answer explanation

Mia got the better interest rate as she earned $12.80 on a $400 investment (12.80/400*100), which is a higher rate compared to Lucas who earned $15 on a $500 investment (15/500 *100).

Sam and Alex are cousins who attend different colleges. Sam scored 72 on his chemistry test, while Alex scored 65. Sam's test was out of 100, and Alex's was out of 80. Use percentages to calculate who performed better in chemistry.

• A) Sam

• B) Alex

• C) Both performed equally well

• D) It cannot be determined

Answer explanation

Alex performed better as he scored 81.25% (65/80) compared to Sam's 72% (72/100).

Calculate the percentage change (profit/loss) when $30 becomes $45.

• A) 50% increase

• B) 100% increase

• C) 75% increase

• D) 150% increase

Answer explanation

To calculate the percentage change, subtract the initial value from the final value, divide by the initial value, and multiply by 100. (45-30)/30 * 100 = 50%. Therefore, the correct answer is A) 50% increase.

Calculate the percentage change (profit/loss) when $120 becomes $150.

• A) 20% profit

• B) 25% profit

• C) 30% profit

• D) 15% profit

Answer explanation

To calculate the percentage change, subtract the initial value from the final value, divide by the initial value, and multiply by 100. (($150 - $120) / $120) * 100 = 25% profit. Therefore, the correct answer is B) 25% profit.