Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed
Triangles & Quadrilaterals — exam questions
9 original Incandio exam-style questions on triangles & Quadrilaterals, 20 marks, about 23 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 Triangles & Quadrilaterals — 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
- Find (1–5 marks)
- a value or expression obtained by a method the learner chooses
- Explain why (1–2 marks)
- one short justification — mathematics almost never asks for extended explanation
- Give a reason for your answer (1–3 marks)
- the geometric or statistical reason NAMED precisely — the mark scheme demands the terminology Misread as: describing what you did instead of naming the property that justifies it
- 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) — statements 4.1 · 4.3. 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 9 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 the size of each angle in an equilateral triangle.
size of each angle = ............................
(Total for Question 1 = 1 mark)
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(2)Work out
An isosceles triangle has an angle of 44° between its two equal sides. Work out the size of each of the other two angles.
(Total for Question 2 = 2 marks)
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(2)Find
In an isosceles triangle, one of the two equal angles is 53°. Find the third angle.
third angle = ............................
(Total for Question 3 = 2 marks)
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(1)Explain why
A student says a triangle can have angles of 90°, 60° and 40°. Explain why the student is wrong.
(Total for Question 4 = 1 mark)
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(2)Work out
Three angles of a quadrilateral are 85°, 97° and 116°. Work out the fourth angle.
fourth angle = ............................
(Total for Question 5 = 2 marks)
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(2)Give a reason for your answer
One angle of a parallelogram is 108°. Write down the size of the angle opposite it, and give a reason.
(Total for Question 6 = 2 marks)
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(3)Work out
The four angles of a quadrilateral are 2x°, 3x°, 4x° and (x + 30)°. Work out the size of the largest angle.
size of the largest angle = ............................
(Total for Question 7 = 3 marks)
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(3)Show that
The angles of a quadrilateral add to 360°. Show that this follows from the angles of a triangle adding to 180°.
(Total for Question 8 = 3 marks)
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(4)Find
Figure 4 shows parallelogram ABCD, with the diagonal BD drawn. AB = AD. Find the size of angle ADB.
Diagram NOT accurately drawn
Figure 4 angle ADB = ............................
(Total for Question 9 = 4 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 — 9 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
- Teach it — explain triangles & Quadrilaterals to Ember, an AI pupil who does not have it yet and asks the awkward question.
- Defend it — argue it against Euclid 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
- Triangles & Quadrilaterals — The special triangles and quadrilaterals, their angle totals, symmetries and diagonal properties — the shape vocabulary of every geometry question.
- All of Incandio Mathematics · Incandio Exam Practice