Finding Any Fraction: Error Analysis & Misconceptions

Mathematics
GCSE Higher
13 questions
~26 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the concept of finding any fraction of an amount, including common misconceptions and error analysis for GCSE Higher students.

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Finding Any Fraction: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Introduction

Read the key concept below before attempting the questions.
1.
To find any fraction ab \frac{a}{b} of an amount N N , multiply N N by ab \frac{a}{b} . The formula is: \[ \text{Fraction of amount} = N \times \frac{a}{b} \]
[2 marks]
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 34 \frac{3}{4} of 48.
[2 marks]
2.
Find 58 \frac{5}{8} of 64.
[2 marks]
3.
What is 710 \frac{7}{10} of 100?
[2 marks]
4.
Calculate 23 \frac{2}{3} of 81.
[2 marks]
5.
A shop has 150 apples. If 25 \frac{2}{5} of the apples are sold, how many apples are sold?
[3 marks]
6.
A recipe requires 34 \frac{3}{4} cup of sugar for one batch. How much sugar is needed for 5 batches?
[3 marks]
7.
Find 49 \frac{4}{9} of 81.
[2 marks]
8.
A car travels 150 km. If 23 \frac{2}{3} of the distance has been covered, how far has the car traveled?
[3 marks]
9.
A student scores 18 out of 30 in a test. What fraction of the total marks did they score? Express your answer as a simplified fraction.
[3 marks]
10.
A box contains 120 chocolates. If 38 \frac{3}{8} of them are dark chocolates, how many dark chocolates are there?
[2 marks]
11.
A farmer has 240 liters of water. If 512 \frac{5}{12} of the water is used for irrigation, how much water is used?
[3 marks]
12.
Identify and correct the mistake: To find 25 \frac{2}{5} of 50, a student multiplies 50 by 24 \frac{2}{4} .
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet