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Percentages Mental Strategies

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Percentages Mental Strategies worksheet preview
Percentages Mental Strategies

Percentages Mental Strategies

Percentage symbols and shopping discount illustration

🛍️ Part 1: Basic Mental Strategies (10% and 5%)

1. Find 10% of these numbers using mental strategies:

a) 10% of 60 = _______

b) 10% of 80 = _______

c) 10% of 45 = _______

d) 10% of 90 = _______

2. Find 5% of these numbers (remember: find 10% then halve it!):

a) 5% of 40 = _______

b) 5% of 60 = _______

c) 5% of 100 = _______

d) 5% of 80 = _______

3. Circle the correct mental strategy for finding 10%:

Multiply by 10

Divide by 10

Add 10

Subtract 10

💰 Part 2: Shopping Discounts (Intermediate Level)

4. Calculate the discount amount and sale price:

a) A jumper costs $120. There's a 10% discount.

Discount amount: $_______ Sale price: $_______

b) A book costs $250. There's a 5% discount.

Discount amount: $_______ Sale price: $_______

c) A bicycle costs $400. There's a 10% discount.

Discount amount: $_______ Sale price: $_______

5. Word Problem: Sarah wants to buy a laptop that costs $350. The shop is offering a 5% discount. How much money will she save, and what will she pay?
6. Which is a better deal? Circle your answer:

$200 item with 10% off

$180 item with 5% off

Show your working: _________________________________

🧮 Part 3: Advanced Calculations

7. Find 10% and 5% of these decimal numbers:

a) 10% of 45.6 = _______

b) 5% of 128.4 = _______

c) 10% of 237.8 = _______

d) 5% of 96.2 = _______

8. Reverse percentage problems:

a) If 10% of a number is 35, what is the number? _______

b) If 5% of a number is 12, what is the number? _______

9. Multi-step discount problem:

A television costs $800. First, there's a 10% discount for members. Then, there's an additional 5% discount for paying cash. What is the final price?

🌍 Part 4: Real-World Applications

10. Population Growth: A town has 15,000 people. The population grows by 5% each year. How many new people is that?
11. Match the percentage calculation with the correct mental strategy:
1. Finding 10%
2. Finding 5%
3. Finding 1%
A. Divide by 100
B. Divide by 10
C. Find 10% then halve it
12. Check all the situations where you might use 10% or 5% calculations:

Calculating restaurant tips

Working out sale discounts

Finding GST on purchases

Calculating interest on savings

Working out population changes

13. Challenge Problem: A shop has a "Buy 2, get 10% off the total" deal. If you buy two items costing $65 and $85, what will you pay in total?

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