Mastering Bounds (Error Intervals)

Mathematics
GCSE Foundation
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A worksheet covering Bounds (Error Intervals) for GCSE Foundation students.

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Mastering Bounds (Error Intervals)

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Introduction

Review the key concept: Bounds are used to estimate the range within which a number lies, considering possible errors or uncertainties. The upper and lower bounds are often calculated by adding or subtracting the error margin from the measured value.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the lower and upper bounds for a measurement of 85 mm with an error of ±2 mm.
[2 marks]
2.
A length is measured as 120 cm with an uncertainty of ±3 cm. What are the bounds?
[2 marks]
3.
If a quantity is estimated as 45 kg with a possible error of ±1.5 kg, find the bounds.
[2 marks]
4.
A student records a test score of 78 with an error margin of ±4. What are the bounds?
[2 marks]
5.
True or False: If a measurement is 150 ±5, then the actual value could be as low as 145.
[1 mark]
6.
Estimate the bounds for a weight recorded as 250 g with an error of ±10 g.
[2 marks]
7.
A car's speed is measured as 60 km/h with an error margin of ±2 km/h. What are the bounds for the speed?
[2 marks]
8.
A thermometer reads 22°C with an uncertainty of ±0.5°C. Calculate the bounds.
[2 marks]
9.
Reasoning: If a measurement has bounds of 100 ±3, which value is within the bounds?
[1 mark]
10.
A rectangle's length is estimated as 50 cm with an error of ±1 cm. What is the maximum possible length?
[2 marks]
11.
Challenge: A scientist measures a substance's mass as 200 g with an error of ±0.5%. What are the bounds for the mass?
[3 marks]
12.
Real-world application: In manufacturing, a component’s length is specified as 150 mm with a tolerance of ±0.2%. What are the bounds?
[3 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet