Discia GCSE Maths › Geometry & Measures › Using a Ruler & Protractor

Using a Ruler & Protractor worksheet

8 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

8 questions 17 marks Sheet 1
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  1. 1 mark

    The triangle DEF is drawn accurately, at full size.

    A triangle drawn accurately with its corners labelled D, E and F.DEF

    Use a ruler to measure the length of FD.

    Give your answer in centimetres.

  2. 2 marks

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

    A rectangle ABCD drawn accurately at full size, with AB along the bottom.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.

  3. 3 marks

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

    A trapezium ABCD drawn accurately at full size, with AB along the bottom and DC parallel to it above.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 \(DC\).

  4. 2 marks

    The diagram shows a parallelogram, drawn accurately.

    A parallelogram drawn accurately, with the angle at one corner marked x.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.

  5. 3 marks

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

    The scale of the drawing is 1 cm represents \(5\) m.

    A rectangle PQRS drawn accurately at full size, longer than it is wide.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 campsite.

    Give your answer in metres.

  6. 1 mark

    The triangle ABC is drawn accurately, at full size.

    A triangle drawn accurately with its corners labelled A, B and C.ABC

    Use a ruler to measure the length of BC.

    Give your answer in centimetres.

  7. 2 marks

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

    A rectangle ABCD drawn accurately at full size, with AB along the bottom.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.

  8. 3 marks

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

    A trapezium ABCD drawn accurately at full size, with AB along the bottom and DC parallel to it above.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 \(DC\).

Answers

  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. (a) \(35^\circ\) — accept \(33^\circ\) to \(37^\circ\)
    (b) acute
  5. (a) \(6\ \text{cm}\)
    (b) \(30\ \text{m}\)
  6. \(8\ \text{cm}\)
  7. (a) \(5.5\ \text{cm}\)
    (b) \(55\ \text{mm}\)
  8. (a) \(8\ \text{cm}\)
    (b) \(3\ \text{cm}\)
    (c) \(5\ \text{cm}\)

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