Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Rounding, Estimation & Bounds — exam questions
10 original Incandio exam-style questions on rounding, Estimation & Bounds, 22 marks, about 26 minutes of writing. Each one carries the command word, the tariff and the specification statement it assesses, exactly as a paper presents them. This is an original Incandio practice question, written to reflect the structure and demands of the qualification. It is not an official Pearson Edexcel past-paper question.
This is the practice set for Rounding, Estimation & Bounds — the module that teaches it. Read the module first if the idea is new; come here when you want to find out whether you can turn it into marks. Completely free, no account needed to read.
What these questions ask of you
6 command words run through this set, and on Pearson Edexcel International GCSE Mathematics A each one means something precise. Answering the wrong command is the commonest way a candidate who understands the module still loses the mark.
- Write down (1–2 marks)
- a value that needs no working — read off, recalled or stated
- Work out (1–5 marks)
- a calculated result, with the working that produced it
- Explain why (1–2 marks)
- one short justification — mathematics almost never asks for extended explanation
- Show that (2–5 marks)
- every step of a derivation to a value that is already printed in the question Misread as: stating the printed answer again instead of deriving it
- Find (1–5 marks)
- a value or expression obtained by a method the learner chooses
- Calculate (1–5 marks)
- a numerical answer obtained by calculation
Assessed on Paper 1 and Paper 2.
Where these sit in the specification
Pearson Edexcel International GCSE Mathematics A (4MA1) — statement 1.8. Incandio is aligned to this specification; it is not published by, endorsed by or affiliated with Pearson, and it reproduces none of Pearson's wording.
The 10 questions
Answer them on paper, then open the module's exam practice to have them marked. The mark scheme, the accepted and rejected answers and the annotated model answer are in Incandio and are not printed here — an answer beside its question is not practice.
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(1)Write down
Write down 4.0673 correct to 2 decimal places.
(Total for Question 1 = 1 mark)
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(1)Write down
Write down 38460 correct to 2 significant figures.
(Total for Question 2 = 1 mark)
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(2)Work out
Work out an estimate for 41.6 × 8.13 ÷ 0.192.
(Total for Question 3 = 2 marks)
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(2)Write down
A length is 24 cm, correct to the nearest centimetre. Write down the lower bound and the upper bound of the length.
(Total for Question 4 = 2 marks)
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(1)Explain why
A student says that a length recorded as 12 cm to the nearest centimetre must lie between 11 cm and 13 cm. Explain why the student is wrong.
(Total for Question 5 = 1 mark)
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(3)Work out
A rectangle has length 8.6 cm and width 4.2 cm, each correct to 1 decimal place. Work out the upper bound for the area of the rectangle.
upper bound = ............................
(Total for Question 6 = 3 marks)
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(3)Work out
A metal block has mass 480 g, correct to the nearest 10 g, and volume 62 cm³, correct to the nearest cubic centimetre. Work out the lower bound for the density of the block.
lower bound = ............................
(Total for Question 7 = 3 marks)
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(3)Show that
A journey of 148 km, correct to the nearest kilometre, takes 1.8 hours, correct to 1 decimal place. Show that the average speed cannot be more than 85 km/h.
(Total for Question 8 = 3 marks)
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(4)Find
x = 84.3 correct to 1 decimal place and y = 7.6 correct to 1 decimal place. Find the value of x ÷ y to a suitable degree of accuracy.
(Total for Question 9 = 4 marks)
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(2)Calculate
Calculate an estimate for the value of 613 ÷ 29.
(Total for Question 10 = 2 marks)
Have them marked, then defend the answer
Practice tells you the mark; teaching it back tells you whether you understand it. On Incandio a topic counts as mastered only once you have taught it and defended it.
- Mark these questions — 10 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain rounding, Estimation & Bounds to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against Eratosthenes over three rounds, marked against descriptors you can read first.
Completely free. No subscriptions, no paywalls, no account needed to start.
Back to the module
- Rounding, Estimation & Bounds — Significant figures, one-significant-figure estimates that sanity-check everything, and the upper and lower bounds of a rounded measurement.
- All of Incandio Mathematics · Incandio Exam Practice