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Percentages Mental Strategies

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Percentages Mental Strategies

Use mental strategies where you can. Show working for the shopping and challenge problems. Write money answers in dollars.

Quick percentage strategies

1.Work out 10% of 70.
2.Work out 10% of 36.
3.Work out 10% of 125.
4.Work out 10% of 240.
5.Work out 5% of 80.
6.Work out 5% of 140.
7.Work out 5% of 60.
8.Work out 5% of 200.
9.Which operation finds 10% of a number?
  • Multiply the number by 10
  • Divide the number by 10
  • Add 10 to the number
  • Subtract 10 from the number

Discounts and sale prices

10.A rain jacket costs $150. It is reduced by 10%. Find the discount and the sale price.
11.A board game costs $180 and has a 5% discount. Find the discount and the sale price.
12.A scooter costs $350. Its price is reduced by 10%. How much does it cost after the discount?
13.Cooper is buying a desk for $240 with a 5% discount. How much will she save, and what is the discounted price?
14.Which offer gives the larger discount amount: 10% off a $160 lamp or 5% off a $300 table?
  • 10% off the lamp
  • 5% off the table
  • Both discounts are equal

Decimals and reverse percentages

15.Find 10% of 68.4.
16.Find 5% of 154.6.
17.Find 10% of 329.5.
18.Find 5% of 82.8.
19.Ten per cent of a number is 42. What is the number?
20.Five per cent of a number is 18. What is the number?
21.A tablet is priced at $600. The shop takes 10% off, then takes a further 5% off the reduced price. What is the final price?

Percentages in everyday situations

22.A community has 12,000 residents. If its population increases by 5% in one year, how many additional residents is that?
23.Match each percentage to the mental strategy used to find it.
  • 10% of a number
  • 5% of a number
  • 1% of a number
  • Divide by 100
  • Divide by 10
  • Find 10%, then halve the result
24.Select every situation where finding 10% or 5% could help with a calculation.
  • Working out a 10% sale reduction
  • Finding a 5% tip on a bill
  • Calculating the area of a rectangle
  • Finding a 10% increase in a quantity
  • Naming the next day of the week
25.A shop sells a water bottle for $45 and a lunch box for $75. A 10% discount applies to the combined price. How much will the two items cost altogether after the discount?

4 printable pages

  • Percentages Mental Strategies, page 1 of 4: Quick percentage strategies

    Page 1

  • Percentages Mental Strategies, page 2 of 4: Discounts and sale prices

    Page 2

  • Percentages Mental Strategies, page 3 of 4: Decimals and reverse percentages

    Page 3

  • Percentages Mental Strategies, page 4 of 4: Percentages in everyday situations

    Page 4

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