Grade 8 · Math · Unit 5 of 18
Percents Beyond 100
Over 100%, under 1%, tax and change
What your child practises
Using fractions, decimals and percents together, including percents over 100% and under 1%, finding percent increase and decrease, working backwards from a sale price, and adding Ontario's 13% HST.
Ontario Curriculum expectation: B1.4, B2.1 · percents greater than 100% or less than 1%, percent change, and multi-step percent problems
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A town's population grew from 200 to 220. What is the percent increase?
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10 %
Hint: Percent change = change ÷ original × 100. The change is 20, and 20 ÷ 200 × 100 = 10.
Question 2
A $90 jacket can be bought with 20% off or with a $28 coupon. Which saves more money?
- the $28 coupon
- They save the same amount
- 20% off
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the $28 coupon
Hint: Find 20% of 90: it is $18. Compare that with $28.
Question 3
After a 50% discount, a game costs $60. What was the original price, in dollars?
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120
Hint: The new price is 50% of the original. Divide $60 by 0.5.
Question 4
What is 125% of 60?
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75
Hint: 125% is more than the whole. 125% = 1.25, so multiply 60 × 1.25.
Question 5
Write 5/2 as a percent.
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250 %
Hint: Divide 5 ÷ 2 to get a decimal, then multiply by 100.
Question 6
What is 0.25% of 400?
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1
Hint: 0.25% = 0.0025 as a decimal. Multiply 400 × 0.0025.