Unit 1: Non-calculator June 2025 Intermediate tier, Question 19, also on the Higher paper 2 marks
The length of each side of a square is 15 cm, correct to the nearest 1 cm.
Calculate the greatest possible perimeter of this square.
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WJEC GCSE Maths
Topic questions Number Limits of accuracy and bounds
Limits of accuracy and bounds
24 questions · 71 marks · about 1.5 hours
Limits of accuracy and bounds questions
TopicLimits of accuracy and bounds▾
WJEC 3300 Limits of accuracy and bounds 24 questions
Unit 1: Non-calculator June 2025 Higher tier, Question 8, also on the Intermediate paper 2 marks
The length of each side of a square is 15 cm, correct to the nearest 1 cm.
Calculate the greatest possible perimeter of this square.
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Unit 2: Calculator-allowed June 2025 Higher tier, Question 11 3 marks
The table below shows the value of g and the value of h.
It also shows the degree of accuracy of each value.
| Value | Degree of accuracy |
| g = 8 | 1 significant figure |
| h =⋅1 7 | 1 decimal place |
Use the formula
to calculate the greatest possible value of f.
You must show all your working.
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Unit 2: Calculator-allowed June 2024 Higher tier, Question 15 3 marks
The values e = 7·1, f = 73·9 and g = 65·7 are each given correct to 1 decimal place.
The value of h is found using the formula.h 
Calculate the greatest value of h. Give your answer correct to four decimal places.
You must show all your working.
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Unit 2: Calculator-allowed November 2023 Intermediate tier, Question 20, also on the Higher paper 2 marks
7 cubes are stacked on top of each other. Each of these cubes has edges of length 60 mm, measured correct to the nearest millimetre.
Calculate the greatest possible height of this stack of 7 cubes.
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Unit 2: Calculator-allowed November 2023 Higher tier, Question 8, also on the Intermediate paper 2 marks
7 cubes are stacked on top of each other. Each of these cubes has edges of length 60 mm, measured correct to the nearest millimetre.
Calculate the greatest possible height of this stack of 7 cubes.
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Unit 2: Calculator-allowed November 2023 Higher tier, Question 15 3 marks
The values b = 23, c = 0·73 and d = 8·3 are each given correct to 2 significant figures.
Use the formula
to calculate the greatest possible value of a. Give your answer correct to 2 decimal places.
You must show all your working.
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Unit 1: Non-calculator June 2023 Intermediate tier, Question 16, also on the Higher paper 3 marks
Two time periods are measured as 4 hours 40 minutes and 2 hours 50 minutes.
Each measurement is correct to the nearest 10 minutes.
What is the least possible sum of these two time periods?
Give your answer in hours and minutes.
Answer =........ hours........ minutes
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Unit 1: Non-calculator June 2023 Higher tier, Question 6, also on the Intermediate paper 3 marks
Two time periods are measured as 4 hours 40 minutes and 2 hours 50 minutes.
Each measurement is correct to the nearest 10 minutes.
What is the least possible sum of these two time periods?
Give your answer in hours and minutes.
Answer =........ hours........ minutes
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Unit 2: Calculator-allowed November 2022 Intermediate tier, Question 16, also on the Higher paper 3 marks
Two times are recorded correct to the nearest 0·1 second.
Calculate the greatest possible difference between these times.
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Unit 2: Calculator-allowed November 2022 Higher tier, Question 6, also on the Intermediate paper 3 marks
Two times are recorded correct to the nearest 0·1 second.
Calculate the greatest possible difference between these times.
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Unit 2: Calculator-allowed June 2022 Higher tier, Question 10 3 marks
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Unit 2: Calculator-allowed November 2021 Higher tier, Question 11 3 marks
The table below shows the value of d and the value of e.
It also shows the degree of accuracy of each value.
| Value | Degree of accuracy |
| d = 64 | Nearest whole number |
| e = 8·6 | 1 decimal place |
Use the formula
to calculate the least possible value of c.
You must show all your working.
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Unit 2: Calculator-allowed November 2020 Intermediate tier, Question 17, also on the Higher paper 3 marks
The lengths of the sides of a rectangle are given as 24 cm and 15 cm.
Each measurement is given correct to the nearest centimetre.
Calculate the difference between the greatest possible perimeter of the rectangle and the least
possible perimeter of the rectangle.
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Unit 2: Calculator-allowed November 2020 Higher tier, Question 8, also on the Intermediate paper 3 marks
The lengths of the sides of a rectangle are given as 24 cm and 15 cm.
Each measurement is given correct to the nearest centimetre.
Calculate the difference between the greatest possible perimeter of the rectangle and the least
possible perimeter of the rectangle.
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Unit 2: Calculator-allowed November 2020 Higher tier, Question 16 3 marks
An amount written correct to the nearest £10 is £7180. This amount is increased by 23·5%, correct to the nearest 0·1%. Calculate the least possible value of the increased amount.
Give your answer correct to the nearest pound.
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Unit 1: Non-calculator November 2019 Intermediate tier, Question 20, also on the Higher paper 3 marks
(a)
[1]
Write down the greatest possible value of length a.
Give your answer in mm.
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(b)
[1]
Calculate the greatest possible value of length b.
Give your answer in mm.
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(c)
[1]
Calculate the least possible value of length c.
Give your answer in mm.
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Unit 1: Non-calculator November 2019 Higher tier, Question 9, also on the Intermediate paper 3 marks
(a)
[1]
Write down the greatest possible value of length a.
Give your answer in mm.
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(b)
[1]
Calculate the greatest possible value of length b.
Give your answer in mm.
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(c)
[1]
Calculate the least possible value of length c.
Give your answer in mm.
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Unit 1: Non-calculator June 2019 Intermediate tier, Question 16, also on the Higher paper 5 marks
(a)(i)
[1]
A mass is written as 430 kg, correct to the nearest 10 kg.
Circle the least possible value of this mass.
420 kg 425 kg 429·5 kg 426 kg 424·9 kg
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(a)
(a)(ii)
[1]
A time period is written as 22 seconds, correct to the nearest second.
Circle the least possible value of this time period.
22 s 20 s 21 s 21·5 s 21·4 s
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(a)(iii)
[1]
A population is written as 85 people, correct to the nearest five people.
Circle the least possible value of this population.
83 people 81 people 84 people 82 people 80 people
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(b)
[2]
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Unit 1: Non-calculator June 2019 Higher tier, Question 7, also on the Intermediate paper 5 marks
(a)
(a)(i)
[1]
A mass is written as 430 kg, correct to the nearest 10 kg.
Circle the least possible value of this mass.
420 kg 425 kg 429·5 kg 426 kg 424·9 kg
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(a)(ii)
[1]
A time period is written as 22 seconds, correct to the nearest second.
Circle the least possible value of this time period.
22 s 20 s 21 s 21·5 s 21·4 s
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(a)(iii)
[1]
A population is written as 85 people, correct to the nearest five people.
Circle the least possible value of this population.
83 people 81 people 84 people 82 people 80 people
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(b)
[2]
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Unit 2: Calculator-allowed June 2019 Higher tier, Question 13 3 marks
Also involves Compound measures
A car travels 300 km, measured correct to the nearest 5 km.
It travels this distance in 6 hours, measured correct to the nearest hour. Calculate the least possible average speed of the car.
Give your answer in km/h, correct to 2 decimal places.
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Unit 2: Calculator-allowed June 2018 Higher tier, Question 13 3 marks
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Unit 2: Calculator-allowed November 2017 Higher tier, Question 12 2 marks
The area of a rectangle is 137 cm2, correct to the nearest cm2.
Its width is 11 cm, correct to the nearest cm.
Calculate the greatest possible length of the rectangle.
Give your answer correct to 3 significant figures.
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Unit 2: Calculator-allowed June 2017 Higher tier, Question 14 3 marks
Also involves Area and perimeter
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