Mastering Bounds (Error Intervals)

Mathematics
GCSE Higher
12 questions
~24 mins
0 views0 downloads

About This Worksheet

A worksheet covering Bounds (Error Intervals) for GCSE Higher students. It includes procedural questions to test understanding and reasoning questions to apply the concept in different contexts.

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Mastering Bounds (Error Intervals)

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
If a ruler measures a length as 15 cm with an possible error of ±0.2 cm, what are the bounds for the true length?
[2 marks]
2.
A student records a temperature as 23°C with an error margin of ±0.5°C. Write down the bounds for the actual temperature.
[2 marks]
3.
A car's speedometer reads 60 mph with an error of ±1 mph. What are the bounds for the car's actual speed?
[2 marks]
4.
Calculate the bounds for a weight measured as 75 kg with an error of ±0.3 kg.
[3 marks]
5.
A rectangle has a length of 8.5 m with an error of ±0.05 m, and a width of 3.2 m with an error of ±0.02 m. Find the bounds for its area.
[4 marks]
6.
Estimate the range of possible values for a person's height if measured as 1.75 m with an error of ±0.01 m.
[2 marks]
7.
A ball is measured to have a diameter of 0.4 m with an error of ±0.005 m. What are the bounds for the diameter?
[2 marks]
8.
A calculator shows a value of 123.4 with an error of ±0.1. Write down the bounds for the true value.
[2 marks]
9.
A container's volume is measured as 2.5 liters with an error margin of ±0.02 liters. What are the bounds for the container's actual volume?
[2 marks]
10.
A car's fuel efficiency is recorded as 50 mpg with an error of ±0.5 mpg. Find the bounds for the actual fuel efficiency.
[2 marks]
11.
A real-world scenario: An engineer measures a beam length as 12.0 m with an error of ±0.02 m. Determine the bounds for the actual length of the beam.
[4 marks]
12.
A manufacturer states a product weight as 250 g with an error margin of ±1 g. What are the bounds for the true weight?
[4 marks]

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Details

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