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

Bearings & Scale Drawings — exam questions

9 original Incandio exam-style questions on bearings & Scale Drawings, 22 marks, about 27 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 Bearings & Scale Drawings — 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

5 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
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) — statements 4.1 · 4.5. 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.

  1. (1)Write down

    Write down the three-figure bearing of due east.

    Specification 4.1 · about 1 min

    (Total for Question 1 = 1 mark)

  2. (2)Work out

    A ship sails from harbour on a course 37° clockwise from north. Work out the three-figure bearing of its course.

    Specification 4.1 · about 2 min

    (Total for Question 2 = 2 marks)

  3. (2)Work out

    On a plan drawn to a scale of 1 : 200, a wall is 7 cm long. Work out the real length of the wall in metres.

    real length of the wall = ............................

    Specification 4.5 · about 2 min

    (Total for Question 3 = 2 marks)

  4. (1)Explain why

    A student gives a bearing as 410°. Explain why this cannot be right.

    Specification 4.1 · about 1 min

    (Total for Question 4 = 1 mark)

  5. (3)Find

    Figure 2 shows the positions of A and B, with the bearing of B from A marked. Find the bearing of A from B.

    Diagram NOT accurately drawn

    NNAB072°
    Figure 2

    bearing of = ............................

    Specification 4.1 · about 4 min

    (Total for Question 5 = 3 marks)

  6. (3)Work out

    A walker sets off on a bearing of 145°. After an hour she turns 70° anticlockwise and walks on. Work out her new bearing.

    Specification 4.1 · about 4 min

    (Total for Question 6 = 3 marks)

  7. (3)Show that

    A model aircraft is built to a scale of 1 : 72. Show that a real wingspan of 10.8 m appears as 15 cm on the model.

    Specification 4.5 · about 4 min

    (Total for Question 7 = 3 marks)

  8. (3)Find

    A boat is on a bearing of 310°. It turns 95° clockwise. Find its new bearing.

    Specification 4.1 · about 4 min

    (Total for Question 8 = 3 marks)

  9. (4)Work out

    Figure 3 shows a town T and a village V on a map drawn to a scale of 1 : 50000. Work out the real distance from T to V in kilometres, and the bearing of T from V.

    Diagram NOT accurately drawn

    NNTV128°6.4 cm
    Figure 3 — Diagram of the map

    Specification 4.1, 4.5 · about 5 min

    (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.

  1. Mark these questions — 9 questions, marked on Incandio against the authored scheme, with the mistake you actually made named.
  2. Teach it — explain bearings & Scale Drawings to Ember, an AI pupil who does not have it yet and asks the awkward question.
  3. Defend it — argue it against Eratosthenes over three rounds, marked against descriptors you can read first.

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