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Plans and Elevations worksheet

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

10 questions 38 marks Sheet 1
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  1. 4 marks

    Here are the plan, the front elevation and the side elevation of a solid.

    The plan, front elevation and side elevation of a solid, drawn on squared paperPlanFront elevationSide elevation

    The solid is \(12\) cm tall, and the circle in the plan has a radius of \(2\) cm.

    (a)

    Write down the name of the solid.

    (b)

    Explain how the elevations show that the solid is not a cylinder.

    (c)

    Find the area of the plan.

    Give your answer in terms of \(\pi\).

  2. 3 marks

    A solid is made from centimetre cubes. Its plan and its two elevations are drawn on centimetre squared paper below it.

    A solid made of centimetre cubes, with its plan, front elevation and side elevation drawn on squared paperPlanFront elevationSide elevation
    (a)

    How many cubes is the solid made from?

    (b)

    State the height of the tallest column, in centimetres.

    (c)

    Explain why the plan does not tell you how tall the solid is.

  3. 3 marks

    Here is a cylinder.

    A cylinder standing upright, with its radius and its height marked3 cm9 cm

    The cylinder stands on a flat table.

    (a)

    Write down the name of the shape of the plan of the cylinder.

    (b)

    Work out the width and the height of the front elevation of the cylinder.

  4. 5 marks

    Here is a cuboid. It is \(7\) cm wide, \(2\) cm deep and \(8\) cm high.

    A cuboid drawn in isometric projection with its width, depth and height marked7 cm2 cm8 cm

    Each of the three views of the cuboid is a rectangle.

    (a)

    Write down the two measurements of the plan of the cuboid.

    (b)

    Work out the area of the front elevation of the cuboid.

    (c)

    Work out the area of the side elevation of the cuboid.

  5. 4 marks

    A solid is made from centimetre cubes. The solid is drawn below, with its plan and its two elevations on centimetre squared paper.

    A row of three columns of centimetre cubes with its plan and its two elevations drawn on squared paperPlanFront elevationSide elevation
    (a)

    State the number of cubes the solid is made from.

    (b)

    More cubes are added to the solid to make it into a cuboid, without making its base or its tallest column any bigger.

    Work out how many extra cubes are needed.

    (c)

    State the volume of the cuboid.

  6. 4 marks

    Here are the plan, the front elevation and the side elevation of a solid.

    The plan, front elevation and side elevation of a solid, drawn on squared paperPlanFront elevationSide elevation

    The solid is \(8\) cm tall, and the circle in the plan has a radius of \(3\) cm.

    (a)

    Write down the name of the solid.

    (b)

    Explain how the elevations show that the solid is not a cylinder.

    (c)

    Work out the area of the plan.

    Give your answer in terms of \(\pi\).

  7. 3 marks

    A solid is made from centimetre cubes. Its plan and its two elevations are drawn on centimetre squared paper below it.

    A solid made of centimetre cubes, with its plan, front elevation and side elevation drawn on squared paperPlanFront elevationSide elevation
    (a)

    How many cubes is the solid made from?

    (b)

    State the height of the tallest column, in centimetres.

    (c)

    Explain why the plan does not tell you how tall the solid is.

  8. 3 marks

    Here is a cylinder.

    A cylinder standing upright, with its radius and its height marked5 cm11 cm

    The cylinder stands on a flat table.

    (a)

    State the name of the shape of the plan of the cylinder.

    (b)

    Find the width and the height of the front elevation of the cylinder.

  9. 5 marks

    Here is a cuboid. It is \(6\) cm wide, \(5\) cm deep and \(9\) cm high.

    A cuboid drawn in isometric projection with its width, depth and height marked6 cm5 cm9 cm

    Each of the three views of the cuboid is a rectangle.

    (a)

    Write down the two measurements of the plan of the cuboid.

    (b)

    Find the area of the front elevation of the cuboid.

    (c)

    Find the area of the side elevation of the cuboid.

  10. 4 marks

    A solid is made from centimetre cubes. The solid is drawn below, with its plan and its two elevations on centimetre squared paper.

    A row of three columns of centimetre cubes with its plan and its two elevations drawn on squared paperPlanFront elevationSide elevation
    (a)

    State the number of cubes the solid is made from.

    (b)

    More cubes are added to the solid to make it into a cuboid, without making its base or its tallest column any bigger.

    Work out how many extra cubes are needed.

    (c)

    State the volume of the cuboid.

Answers

  1. (a) A cone
    (b) In the elevations the sides slope in to a point at the top, instead of standing straight up
    (c) \(4\pi\ \text{cm}^2\)
  2. (a) \(6\)
    (b) \(3\ \text{cm}\)
    (c) the plan is the view from above, so it shows only which squares are covered, not how many cubes are stacked on each
  3. (a) A circle
    (b) \(6\) cm wide and \(9\) cm high
  4. (a) \(7\) cm by \(2\) cm
    (b) \(56\ \text{cm}^2\)
    (c) \(16\ \text{cm}^2\)
  5. (a) \(11\)
    (b) \(4\)
    (c) \(15\ \text{cm}^3\)
  6. (a) A cone
    (b) In the elevations the sides slope in to a point at the top, instead of standing straight up
    (c) \(9\pi\ \text{cm}^2\)
  7. (a) \(6\)
    (b) \(2\ \text{cm}\)
    (c) the plan is the view from above, so it shows only which squares are covered, not how many cubes are stacked on each
  8. (a) A circle
    (b) \(10\) cm wide and \(11\) cm high
  9. (a) \(6\) cm by \(5\) cm
    (b) \(54\ \text{cm}^2\)
    (c) \(45\ \text{cm}^2\)
  10. (a) \(9\)
    (b) \(3\)
    (c) \(12\ \text{cm}^3\)

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