📊 Part 1: Converting Between Forms

1. Complete the equivalence table. Show your working in the box below.

Fraction	Decimal	Percentage
3/8	_______	_______
_______	0.64	_______
_______	_______	87.5%

2. Express 72 as a fraction and percentage of 120. Simplify your fraction to lowest terms.

3. A recipe calls for 350ml of milk, but Sarah only has 280ml. What percentage of the required milk does she have? Use a bar model to represent this problem.

🧮 Part 2: Real-World Applications

4. A school has 840 students. If 315 students participate in sports, what fraction and percentage of students participate in sports?

5. During a sale, a jacket originally priced at $180 is reduced by $45.
a) What fraction of the original price was the discount?
b) What percentage discount was given?
c) What percentage of the original price is the sale price?

6. In a survey of 250 people, 3/5 preferred tea over coffee.
a) How many people preferred tea?
b) What percentage preferred coffee?
c) If 15 more people changed from coffee to tea, what would be the new percentage of tea drinkers?

🎯 Part 3: Challenge Problems

7. A petrol tank is 5/8 full. After using 40% of what was in the tank, what fraction of the full tank capacity remains?

8. In a class test, Aroha scored 85%. If she got 34 questions correct, how many questions were on the test? Show your method clearly.

9. A shop increases all prices by 15%. If a book now costs $23.00, what was its original price? Express your answer as a fraction of $100, then as a percentage.

10. Critical thinking: Two fractions have the same numerator. The first fraction equals 40% and the second equals 25%. If the difference between their denominators is 6, find both fractions.