[discia] GCSE Maths › Geometry & Measures › Using a Ruler & Protractor

Using a Ruler & Protractor

discia.org 10 questions · 20 marks
Name Date
  1. Either paper 1 mark

    The triangle DEF is drawn accurately, at full size.

    DEF

    Use a ruler to measure the length of FD.

    Give your answer in centimetres.

    Show answer
    \(7\ \text{cm}\)
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  2. Either paper 2 marks

    Here is a rectangle \(ABCD\), drawn accurately at full size.

    ABCD
    (a)

    Use a ruler to measure the length of \(AB\).

    Give your answer in centimetres, correct to the nearest half a centimetre.

    (b)

    Give your answer to part (a) in millimetres.

    Show answer
    (a) \(6\ \text{cm}\)
    (b) \(60\ \text{mm}\)
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  3. Either paper 3 marks

    The trapezium \(ABCD\) is drawn accurately, at full size. \(AB\) and \(DC\) are parallel.

    ABCD
    (a)

    Use a ruler to measure the length of \(AB\).

    Give your answer in centimetres.

    (b)

    Measure the length of \(DC\).

    Give your answer in centimetres.

    (c)

    Calculate how much longer \(AB\) is than \(DC\).

    Show answer
    (a) \(7\ \text{cm}\)
    (b) \(4\ \text{cm}\)
    (c) \(3\ \text{cm}\)
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  4. Either paper 1 mark

    The triangle ABC is drawn accurately.

    ABC

    Use a protractor to measure the size of angle \(ACB\).

    Show answer
    \(95^\circ\) — accept \(93^\circ\) to \(97^\circ\)
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  5. Either paper 2 marks

    The diagram shows a parallelogram, drawn accurately.

    x
    (a)

    Use a protractor to measure the size of the angle marked \(x\).

    (b)

    Write down whether the angle marked \(x\) is acute, obtuse or reflex.

    Show answer
    (a) \(35^\circ\) — accept \(33^\circ\) to \(37^\circ\)
    (b) acute
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  6. Either paper 2 marks

    The diagram is drawn accurately. The angle marked \(x\) is a reflex angle.

    x
    (a)

    Use a protractor to measure the size of the angle marked \(x\).

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    (a) \(220^\circ\) — accept \(218^\circ\) to \(222^\circ\)
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  7. Either paper 3 marks

    \(PQRS\) is a scale drawing of a rectangular field. It is drawn accurately, at full size on the page.

    The scale of the drawing is 1 cm represents \(10\) m.

    PQRS
    (a)

    Use a ruler to measure the length of \(PQ\) on the drawing.

    Give your answer in centimetres.

    (b)

    Work out the real length of the field.

    Give your answer in metres.

    Show answer
    (a) \(9\ \text{cm}\)
    (b) \(90\ \text{m}\)
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  8. Either paper 1 mark

    The triangle PQR is drawn accurately, at full size.

    PQR

    Use a ruler to measure the length of PQ.

    Give your answer in centimetres.

    Show answer
    \(4\ \text{cm}\)
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  9. Either paper 2 marks

    Here is a rectangle \(ABCD\), drawn accurately at full size.

    ABCD
    (a)

    Use a ruler to measure the length of \(AB\).

    Give your answer in centimetres, correct to the nearest half a centimetre.

    (b)

    Give your answer to part (a) in millimetres.

    Show answer
    (a) \(7.5\ \text{cm}\)
    (b) \(75\ \text{mm}\)
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  10. Either paper 3 marks

    The trapezium \(ABCD\) is drawn accurately, at full size. \(AB\) and \(DC\) are parallel.

    ABCD
    (a)

    Use a ruler to measure the length of \(AB\).

    Give your answer in centimetres.

    (b)

    Measure the length of \(DC\).

    Give your answer in centimetres.

    (c)

    Work out how much longer \(AB\) is than \(DC\).

    Show answer
    (a) \(9\ \text{cm}\)
    (b) \(5\ \text{cm}\)
    (c) \(4\ \text{cm}\)
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discia.org Using a Ruler & Protractor · sheet 1
Answers Using a Ruler & Protractor · sheet 1
  1. \(7\ \text{cm}\)
  2. (a) \(6\ \text{cm}\)
    (b) \(60\ \text{mm}\)
  3. (a) \(7\ \text{cm}\)
    (b) \(4\ \text{cm}\)
    (c) \(3\ \text{cm}\)
  4. \(95^\circ\) — accept \(93^\circ\) to \(97^\circ\)
  5. (a) \(35^\circ\) — accept \(33^\circ\) to \(37^\circ\)
    (b) acute
  6. (a) \(220^\circ\) — accept \(218^\circ\) to \(222^\circ\)
  7. (a) \(9\ \text{cm}\)
    (b) \(90\ \text{m}\)
  8. \(4\ \text{cm}\)
  9. (a) \(7.5\ \text{cm}\)
    (b) \(75\ \text{mm}\)
  10. (a) \(9\ \text{cm}\)
    (b) \(5\ \text{cm}\)
    (c) \(4\ \text{cm}\)
discia.org Using a Ruler & Protractor · sheet 1