Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed

Perimeter & Area — exam questions

10 original Incandio exam-style questions on perimeter & Area, 27 marks, about 33 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 Perimeter & Area — 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
Calculate (1–5 marks)
a numerical answer obtained by calculation
Explain why (1–2 marks)
one short justification — mathematics almost never asks for extended explanation
Find (1–5 marks)
a value or expression obtained by a method the learner chooses
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

Assessed on Paper 1 and Paper 2.

Where these sit in the specification

Pearson Edexcel International GCSE Mathematics A (4MA1) — statement 4.9. 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.

  1. (1)Write down

    A rectangle measures 7 cm by 4 cm. Write down its area.

    area = ............................ cm2

    Specification 4.9 · about 1 min

    (Total for Question 1 = 1 mark)

  2. (2)Work out

    A triangle has a base of 12 cm and a perpendicular height of 5 cm. Work out its area.

    area = ............................ cm2

    Specification 4.9 · about 2 min

    (Total for Question 2 = 2 marks)

  3. (2)Calculate

    A trapezium has parallel sides of 9 cm and 15 cm, and the distance between them is 6 cm. Calculate its area.

    area = ............................ cm2

    Specification 4.9 · about 2 min

    (Total for Question 3 = 2 marks)

  4. (1)Explain why

    A parallelogram has a slanted side of 10 cm and a perpendicular height of 8 cm. Explain why the 10 cm must not be used to work out its area.

    Specification 4.9 · about 1 min

    (Total for Question 4 = 1 mark)

  5. (3)Find

    Find the area of the floor.

    A room has an L-shaped floor. It is 8 m long and 6 m wide overall, and a square of side 3 m has been taken out of one corner.

    area of the floor = ............................ m2

    Specification 4.9 · about 4 min

    (Total for Question 5 = 3 marks)

  6. (3)Work out

    Work out the perimeter of the floor.

    A room has an L-shaped floor. It is 8 m long and 6 m wide overall, and a square of side 3 m has been taken out of one corner.

    perimeter of the floor = ............................ m

    Specification 4.9 · about 4 min

    (Total for Question 6 = 3 marks)

  7. (3)Show that

    A right-angled triangle has legs of 9 cm and 40 cm. Show that its perimeter is 90 cm.

    Specification 4.9 · about 4 min

    (Total for Question 7 = 3 marks)

  8. (3)Calculate

    A path is a rectangle 14 m by 2.5 m. Gravel costs 9 pounds per square metre and is sold only in whole square metres. Calculate the total cost of gravelling the path.

    Specification 4.9 · about 4 min

    (Total for Question 8 = 3 marks)

  9. (4)Find

    The cross-section of a ramp is a trapezium with an area of 84 cm². Its two parallel edges differ in length by 10 cm and lie 8 cm apart. Find the length of the shorter edge.

    length of the shorter edge = ............................ cm

    Specification 4.9 · about 5 min

    (Total for Question 9 = 4 marks)

  10. (5)Work out

    Figure 4 shows a rectangular lawn with a semicircular flower bed cut out of one end. Turf costs £8.50 per square metre. Work out the cost of turfing the lawn.

    Diagram NOT accurately drawn

    14 m8 m4 m
    Figure 4

    Give your answer correct to the nearest pound.

    cost = ............................ £

    Specification 4.9 · about 6 min

    (Total for Question 10 = 5 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.

  1. Mark these questions — 10 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
  2. Teach it — explain perimeter & Area to Ember, an AI pupil who does not have it yet and asks the awkward question.
  3. Defend it — argue it against Euclid over three rounds, marked against descriptors you can read first.

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