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Percentage Mental Strategies

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Percentage Mental Strategies

Percentage Mental Strategies - Extension

Percentage calculations illustration

Part A: Mental Percentage Calculations

1. Calculate these percentages mentally. Show your strategy:

a) 25% of $480 = _______ Strategy: _________________________

b) 75% of 360 kg = _______ Strategy: _________________________

c) 20% of $650 = _______ Strategy: _________________________

d) 5% of 840 metres = _______ Strategy: _________________________

2. Use mental strategies to find:

a) 50% of $1,240 = _______

b) 10% of 2,750 grams = _______

c) 25% of 1,600 kilometres = _______

d) 75% of $960 = _______

Part B: Multi-Step Discount Problems

3. A bicycle costs $450. It has a 20% discount, then an additional 10% off the sale price.

Final price: $ _______

4. Sarah's shopping bill is $280. She has a 25% off voucher, but must pay 10% GST on the discounted amount.

Total amount to pay: $ _______

5. A laptop originally costs $1,200. During a sale, it's reduced by 50%, then an extra 20% is taken off for members.

Member's price: $ _______

Part C: Reverse Percentage Problems

6. After a 25% discount, a jacket costs $75. What was the original price?

Original price: $ _______

7. 20% of students in Year 6 play cricket. If 45 students play cricket, how many students are in Year 6?

Total students: _______

8. A car's value decreased by 10% to $18,000. What was its original value?

Original value: $ _______

Part D: Real-Life Applications

9. Restaurant bill analysis:

Meal cost: $85.60, Service charge: 10%, GST: 10% (on meal + service)

Total bill: $ _______

10. Investment problem:

Tom invests $2,000. In Year 1, it grows by 25%. In Year 2, it loses 20% of its value.

Final value: $ _______

11. Sports club membership:

Annual fee: $360. Early bird discount: 15%. Family discount: additional 10% off discounted price.

Family early bird price: $ _______

Part E: Challenge Problems

12. A shop increases all prices by 20%, then offers a 25% sale. Are items cheaper or more expensive than originally? By what percentage?

Answer: _________________ by _______%

13. Three friends split a $120 restaurant bill. Alex pays 25%, Ben pays 50% of what's left, and Chris pays the remainder. How much does each person pay?

Alex: $ _______ Ben: $ _______ Chris: $ _______

14. A school's enrolment increases by 10% to 550 students. The following year, it increases by 20%. What's the final enrolment?

Final enrolment: _______ students

15. Create your own multi-step percentage problem involving at least two different percentages:

Solution:

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