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Number Concepts Mastery Worksheet

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Number Concepts Mastery Worksheet

Mathematical calculations and number conversions

🎯 WALT: Diagnose proficiency with number operations and conversions

Success Criteria: I can accurately perform operations with whole numbers, decimals, and fractions, and convert between number forms.

1. Calculate: 456 + 789 = ___________
2. What is 3.7 × 2.4?
3. Convert these numbers. Show your working:

a) 0.75 = _______ (as a fraction) b) 3/5 = _______ (as a decimal) c) 0.6 = _______ % (as a percentage)

4. Which calculation gives the largest answer?

2/3 + 1/4

0.85 + 0.12

45% + 35%

1.2 - 0.3

5. Estimate first, then calculate: 8.7 × 4.2

My estimate: ____________ Actual answer: ____________

💰 WALT: Apply number knowledge to real-world problems

Success Criteria: I can solve practical problems involving percentages, discounts, and GST, and check my answers for reasonableness.

6. A jacket costs $120. It has a 25% discount. What is the sale price?
7. Calculate the GST (15%) on a laptop that costs $800 before tax.

GST amount: $ ____________ Total price including GST: $ ____________

8. Four friends split a restaurant bill of $84.60 equally. How much does each person pay?
9. A shop increases prices by 12%. If a book originally cost $25, what is the new price?

$22.00

$28.00

$37.00

$25.12

10. Differentiation Support: Use the hint below if needed.

Hint: To find 15% of a number, multiply by 0.15 or find 10% + 5%

Find 15% of $60: ____________

🚀 Extension Challenges

Success Criteria: I can solve complex problems involving mixed numbers and algebraic thinking.

11. Challenge: A number increased by 40% equals 84. What was the original number?
12. Advanced: Calculate: 2¾ × 1⅓ (mixed numbers)
13. Reasoning: Explain why 0.3̄ (0.3 recurring) equals 1/3. Use mathematical language.
14. Self-Assessment: Rate your confidence (1-5) and explain one strategy you used today:

Confidence level: ___/5

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