/100: Challenge & Extension
Mathematics
Grade 7
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Grade 7 students on converting percentages to fractions over 100, including practice, reasoning, real-world applications, and extension questions.
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Full preview • 16 questions
/100: Challenge & Extension
Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Convert 75% to a fraction over 100 and simplify if possible.
[2 marks]2.
Express 12.5% as a fraction over 100 in its simplest form.
[2 marks]3.
Write 45% as a fraction with denominator 100 and reduce to lowest terms.
[2 marks]4.
Simplify the fraction equivalent to 88%.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert 33 1/3% to a fraction over 100.
[2 marks]2.
Express 5% as a fraction over 100 in simplest form.
[2 marks]3.
Convert 0.2 into a fraction over 100.
[2 marks]C
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A student scored 18 out of 20 in a test. What percentage did they achieve? Express your answer as a fraction over 100 and simplify.
[4 marks]2.
A shop offers a 15% discount on a item costing $80. What is the discount amount as a fraction over 100? Show your working.
[4 marks]D
Real-world Applications
Answer all questions. Show your working.
1.
A survey shows that 65% of students prefer online learning. Express this preference as a fraction over 100 and reduce to simplest form.
[3 marks]E
Challenge & Extension
Answer all questions. Show your working.
1.
A recipe calls for 120 grams of sugar, which is 25% of the total weight. Find the total weight of the mixture in fraction form over 100 and simplify.
[4 marks]2.
Convert 7/8 to a percentage over 100, expressed as a simplified fraction.
[3 marks]F
Mixed Review
Answer all questions. Show your working.
1.
Express 22.5% as a fraction over 100 and simplify.
[2 marks]2.
A factory produces 1200 units, with 5% defective. What is the number of defective units as a fraction over 100?
[3 marks]G
Error Analysis
Identify the mistake in each student's answer and correct it.
1.
Student's answer: 50/100 = 1/2. Is this correct? Explain and correct if necessary.
[2 marks]2.
Student's answer: 33% as a fraction is 33/100 which cannot be simplified. Is this correct?
[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