4024/12 May/Jun 2024, Question 19: Upper and Lower Bounds
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given rounded masses of a bag of almonds and of large and small boxes, state a lower bound and work out an upper bound for a mass difference.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
The almond bag weighs 125 g to the nearest gram; state the smallest possible mass.
- 1Lower bound = 125 − 0.5 = 124.5 g
Answer124.5
Part (b) · 2 marks
Large box 500 g and small box 250 g, each rounded to the nearest 10 g; find the greatest possible value of large minus small.
- 1Upper bound of large box = 505 g, lower bound of small box = 245 g
- 2505 − 245 = 260 g
Answer260
Stuck on a step? Read the free lesson: Upper and Lower Bounds
Practise more upper and lower bounds questions
Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on upper and lower bounds
Also searched as: 4024/12/M/J/24 · 4024_s24_qp_12 · 4024 s24 12 · question 19.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.