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Percentage Mental Strategies

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Percentage Mental Strategies

Work out each answer using mental strategies where possible. Show or describe your strategy for the first set, and include working for multi-step problems.

Mental percentage calculations

1.Find 25% of $360. Write one mental strategy you could use.

2.Find 75% of 280 kg. Briefly explain a mental strategy.

3.Calculate 20% of $735.

4.Calculate 5% of 960 m.

5.Find 50% of $1,380.

6.Find 10% of 3,460 g.

7.Find 25% of 2,400 km.

8.Find 75% of $1,240.

Multi-step percentage problems

9.A scooter costs $520. The shop takes 15% off, then gives a further 10% off the reduced price. What is the final price?

10.A bill is $320 before a 25% voucher discount. GST of 10% is added to the discounted amount. What total is paid?

11.A tablet costs $1,500. It is reduced by 40%, then members receive another 15% off the new price. Find the member price.

Reverse percentages

12.After a 20% discount, a pair of boots costs $96. What was its price before the discount?

13.In a year group, 15% of the students take the bus. If 36 students take the bus, how many students are in the year group?

14.A used car loses 20% of its value and is then worth $24,000. What was its value before the decrease?

Percentages in everyday situations

15.A café meal costs $72. A 5% service charge is added, then 10% GST is calculated on the meal plus the service charge. What is the total bill? Round to the nearest cent.

16.A savings balance of $1,600 grows by 15% in the first year, then decreases by 10% the next year. What is the balance after two years?

17.A sports club's annual fee is $400. Members who pay early receive 12% off, followed by a further 5% family discount on the reduced fee. What does a family pay?

Challenge problems

18.A shop raises a price by 25%, then advertises a 20% discount on the raised price. Compared with the starting price, is the final price higher, lower or the same? By what percentage?

19.Three friends share a $160 bill. Arjun pays 25% of the bill. Ruby-Mae pays 40% of the amount still unpaid, and Cooper pays what remains. How much does each friend pay?

20.A community swimming centre has 480 members. Membership grows by 15% one year and by 10% the following year. How many members are there after both increases? Round to the nearest whole member.

21.Write your own two-step percentage problem and solve it. Include two different percentage changes.