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Grade 4 · Foundation and Higher · free GCSE maths worksheet

Plans and elevations

Drawing a solid from the front, side and top.

11 original questions, 27 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Name the solid in each case.

  1. The plan is a circle. The front elevation and the side elevation are both rectangles.
  2. The plan is a square. The front elevation and the side elevation are both triangles.
2 marks
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a) cylinder b) square-based pyramid
2

A solid cuboid is 5 cm long, 3 cm wide and 2 cm high.

On centimetre-squared paper, draw

  1. the plan of the cuboid
  2. the front elevation of the cuboid, seen with the 5 cm edge facing you.
5 cm2 cm3 cmFront: along the labelled lengthGiven solid−112345678−1123456OxyPlan−112345678−1123456OxyFront elevation
2 marks
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a) a 5 cm by 3 cm rectangle b) a 5 cm by 2 cm rectangle
3

A solid cylinder has radius 3 cm and height 7 cm. It stands on one of its circular faces.

Draw

  1. the plan of the cylinder
  2. the front elevation of the cylinder.
3 cm7 cmGiven solidPlan−112345678−112345678OxyFront elevation
2 marks
Show answer
a) a circle of radius 3 cm b) a rectangle 6 cm wide and 7 cm tall
4

A solid is made from four centimetre cubes.

Three of the cubes are in a row on a table. The fourth cube sits on top of the left-hand cube.

The long side of the row faces you.

On centimetre-squared paper, draw

  1. the front elevation of the solid
  2. the plan of the solid.
FrontGiven solid−11234−11234OxyPlan−11234−11234OxyFront elevation
2 marks
Show answer
a) an L shape: a row of 3 squares with 1 extra square on top of the left square b) a row of 3 squares
5

A cuboid is 5 cm long, 3 cm wide and 2 cm high. It stands on a table on its 5 cm by 3 cm face. The front of the cuboid is a 5 cm by 2 cm face.

  1. Write down the width and height of the front elevation.
  2. Write down the dimensions of the plan.
  3. Work out the area of the side elevation.
3 marks
Show answer
a) 5 cm by 2 cm b) 5 cm by 3 cm c) 6
6

The diagram shows the plan and the front elevation of a prism, drawn on centimetre-squared paper.

Draw the side elevation of the prism, seen from the right-hand side.

−112345−11234OxyGiven plan−112345−11234OxyGiven front elevation−11234−11234OxyRight elevation
2 marks
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a rectangle 2 cm wide and 3 cm tall, with a horizontal line across it at height 1 cm
7

The plan of a solid is a circle. The front elevation and the side elevation of the solid are both isosceles triangles.

  1. Write down a possible name of the solid.

The plan, the front elevation and the side elevation of a different solid are all squares of the same size.

  1. Write down a possible name of this solid.
2 marks
Show answer
a) cone b) cube
8

A solid cuboid is 6 cm long, 4 cm wide and 3 cm high.

Priya draws the front elevation of the cuboid, seen with the 6 cm edge facing her, as a rectangle 6 cm by 4 cm.

  1. Explain why Priya's front elevation is wrong.
  2. On centimetre-squared paper, draw the plan of the cuboid.
6 cm3 cm4 cmFront: along the labelled lengthGiven solid−112345678−1123456OxyPlan
3 marks
Show answer
a) the front elevation should show the height, so it should be 6 cm by 3 cm - the 4 cm width is only seen from above b) a 6 cm by 4 cm rectangle
9

A solid cylinder has radius 4 cm and height 10 cm. It stands upright on a table.

Work out the area of its plan. Give your answer to 1 decimal place.

3 marks
Show answer
50.3
10

A solid cuboid has volume 48 cm3 and height 3 cm.

The plan of the cuboid is a square.

On centimetre-squared paper, draw the plan of the cuboid, full size.

−112345678−112345678Oxy
3 marks
Show answer
a 4 cm by 4 cm square
11

A solid is made from six centimetre cubes.

Four cubes form a 2 by 2 square layer on a table. Two more cubes are stacked on top of the back-left cube, making a column 3 cubes tall.

On centimetre-squared paper, draw

  1. the plan of the solid
  2. the front elevation of the solid
  3. the side elevation of the solid, seen from the left.
FrontGiven solid−11234−11234OxyPlan−11234−11234OxyFront elevation−11234−11234OxyLeft elevation (front at left)
3 marks
Show answer
a) a 2 by 2 square b) an L shape: 2 squares wide at the base, left column 3 squares tall, right column 1 square tall c) the same L shape: 2 squares wide at the base, back column 3 tall, front column 1 tall

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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