/100: Real-world Applications
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on converting percentages to fractions out of 100, with real-world contexts and progressive difficulty.
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Full preview • 15 questions
/100: Real-world Applications
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert 25% to a fraction in its simplest form.
[2 marks]2.
Express 60% as a fraction with denominator 100.
[2 marks]3.
Reduce the fraction 50/100 to its simplest form.
[2 marks]4.
Convert 12.5% to a fraction.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces provided.
1.
A survey shows that 45% of students prefer online learning. Express this percentage as a fraction in simplest form and explain your steps.
[3 marks]2.
A jacket costs $120. If a sale offers a 25% discount, what is the discount amount? Show your calculation.
[3 marks]3.
A school has 300 students, and 65% of them are girls. How many girls are in the school?
[3 marks]4.
If 80% of a class of 40 students passed a test, how many students did not pass? Show your working.
[3 marks]C
Real-world Applications
Answer all questions. Use the grid for calculations or diagrams where needed.
1.
A bakery sold 75% of its bread for the day. If they baked 200 loaves, how many loaves did they sell?
[3 marks]2.
A charity received a donation of 40% of $5000. How much money was donated?
[3 marks]3.
A survey finds that 55% of people prefer online shopping. Express this as a simplified fraction.
[2 marks]D
Challenge & Extension
Attempt these more difficult questions. Show all working.
1.
A student scored 87% on a test. Convert this percentage into a fraction in simplest form.
[3 marks]2.
A town has a population of 12,000. If 33.3% of the population are children under 14, estimate the number of children.
[3 marks]E
Mixed Review & Error Analysis
Solve the following questions carefully. For error analysis, identify and correct the mistake in the given solution.
1.
A student converts 70% to a fraction and writes it as 7/10. Is this correct? Explain your answer.
[2 marks]2.
Identify the mistake: Converting 45% directly to 45/100 and claiming it cannot be simplified.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet