Understanding Differences: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on understanding differences in truncation, addressing common misconceptions through error analysis and varied question types.

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Understanding Differences: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the truncation of 3.14159 to 3 decimal places.
[2 marks]
2.
Truncate 567.8921 to the nearest whole number.
[2 marks]
3.
What is the result when you truncate 0.98765 to 2 decimal places?
[2 marks]
B

Problem Solving & Reasoning

Answer all questions. Show detailed reasoning in the grid spaces provided.
1.
A calculator displays 123.456789. If a student truncates this number to 4 decimal places, what is the truncated value? Explain why truncation is used in this context.
[4 marks]
2.
A price of £49.995 is truncated to two decimal places for currency. What is the truncated price, and why might truncation be preferred over rounding in some financial contexts?
[4 marks]
C

Real-world Applications

Answer all questions. Use the grid for calculations where needed.
1.
A scientist records a measurement of 56.789 meters. To report the measurement with three decimal places, what value do they report after truncation?
[2 marks]
2.
A car's speed is recorded as 88.8888 km/h. Truncate this speed to 1 decimal place for a report. What is the truncated value?
[2 marks]
D

Challenge & Extension

Answer all questions. Provide detailed calculations and explanations.
1.
Evaluate the difference between 3.14159 and its truncation to 3 decimal places. Why is understanding this difference important in data analysis?
[3 marks]
2.
Construct a number greater than 7 but less than 8 that, when truncated to 1 decimal place, equals 7.2. Explain your reasoning.
[3 marks]
E

Mixed Review & Error Analysis

Complete all questions carefully, considering common misconceptions.
1.
A student truncates 9.876 to 2 decimal places and writes 9.87. Is this correct? If not, identify and correct the mistake.
[2 marks]
2.
A common misconception is that truncation always rounds down. Is this true? Explain your answer.
[3 marks]

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Details

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