/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