Understanding Differences: Problem Solving & Reasoning
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding differences in truncation, aimed at GCSE Higher students through problem solving and reasoning tasks.
Worksheet Preview
Full preview • 12 questions
Understanding Differences: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the difference between 7.89 and its truncation to two decimal places.
[2 marks]2.
Find the difference between 3.4567 and its truncation to three decimal places.
[2 marks]3.
A calculator displays 12.987654. Truncate it to four decimal places. What is the difference between the original number and the truncated number?
[3 marks]4.
Fluency & Practice: Truncate 9.8765 to two decimal places and find the difference.
[2 marks]5.
Construct a number between 4.56 and 4.65 that, when truncated to one decimal place, differs from 4.6 by less than 0.1. Explain your reasoning.
[4 marks]6.
A student truncates 15.349 to two decimal places, obtaining 15.34. What is the difference, and what mistake might they have made?
[3 marks]7.
Calculate the difference between 0.123456 and its truncation to four decimal places.
[2 marks]8.
In a real-world context, a price is listed as $19.995. Truncate to two decimal places. What is the difference, and why is understanding this difference important?
[4 marks]9.
Identify the mistake: Someone truncates 8.999 to 8.99, claiming the difference is 0.01. Correct their reasoning.
[3 marks]10.
Challenge & Extension: Find the maximum possible difference between a number and its truncation to two decimal places, for numbers less than 1.
[3 marks]11.
Mixed Review: Truncate 123.456789 to three decimal places. Then, find the difference between the original number and the truncated version.
[2 marks]12.
Explain why truncation might be used instead of rounding in a financial context, and give an example.
[4 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