Mastering Bounds (Error Intervals)
Mathematics
GCSE Higher
1 questions
~2 mins
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A worksheet covering Bounds (Error Intervals) for GCSE Higher students.
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Mastering Bounds (Error Intervals)
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Read the brief explanation below before attempting the questions.
1.
Bounds or error intervals are used to estimate the range within which a true value lies, given an approximation. To find the bounds, add and subtract the error or tolerance from the approximate value.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
An object weighs approximately 5.2 kg with a tolerance of 0.1 kg. Find the bounds for its weight.
[3 marks]2.
A student estimates the length of a table as 2.5 meters with an error of 0.02 meters. What are the upper and lower bounds?
[3 marks]3.
A measurement of a liquid volume is given as 3.45 liters with an error of 0.05 liters. Find the bounds.
[3 marks]4.
Calculate the bounds for a distance of 150 km with an error of 2 km.
[3 marks]5.
If a temperature is recorded as 22°C with an error of 0.5°C, what are the bounds?
[3 marks]6.
A sphere's radius is estimated as 10 cm with an error of 0.2 cm. Find the bounds for the radius.
[3 marks]7.
A car's speed is approximately 60 km/h with an error margin of 3 km/h. What are the bounds?
[3 marks]8.
A measured value of a chemical concentration is 0.75 mol/L with an error of 0.05 mol/L. Find the bounds.
[3 marks]9.
Estimate the bounds for a mass of 250 grams with an error of 5 grams.
[3 marks]10.
A person’s height is roughly 1.75 meters with a possible error of 0.01 meters. Find the bounds.
[3 marks]11.
Challenge: The length of a river section is measured as 120 km with an error of 1 km. If the measurement is used to estimate the total length of a longer river which is approximately 600 km, what are the bounds for the total length based on this measurement?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet