Plans and elevations Quiz (Grade 4)

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Score: 0 / 10

Plans and elevations — Notes & Worked Examples Show / Hide

Explanation:

Plans and elevations are flat 2D projections of a 3D solid drawn on centimetre grid paper: • Plan view: looking straight down from directly above (bird's-eye view). • Front elevation: looking straight at the front. • Side elevation: looking straight from the left or right side.

Sloping faces appear as flat rectangles when viewed from above or from the front. Any change in height or step on a visible face must be shown with a solid line.

Example 1: Draw the plan, front, and side views of a cylinder with radius 3 cm (d = 6 cm) and height 8 cm.

Plan: circle (r = 3 cm); Front & Side: 6 cm × 8 cm rectangles.

Example 2: Draw the plan, front, and side views of a square-based pyramid (base 6 cm × 6 cm, height 5 cm).

Plan: 6×6 square with diagonals; Front & Side: triangles (base 6, h = 5).

One Page Guide (PDF) Plans and elevations Worksheets

Question 1 AQA Jun 2022 2H Q17

[1 mark]

Here is the plan of a solid.

Circle the solid that it could be.
sphere cone hemisphere cylinder

Worked Solution & Answer

A cylinder lying on its curved side has a rectangular plan view (top-down view)
Spheres, cones and hemispheres have circular plans. B1

Answer: cylinder

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Question 2 AQA Nov 2020 3F Q19

[2 marks]

The side elevation and plan of a cuboid are shown on the centimetre grid.

Draw the front elevation of the cuboid on this centimetre grid.

Worked Solution & Answer

From the plan, the width is 2 cm M1
From the side elevation, the height is 3 cm
Front elevation is a rectangle of width 2 cm and height 3 cm. A1

Answer: Answer Rectangle 2 cm wide by 3 cm high

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Question 3

[2 marks]

The front elevation and the plan of a solid are shown on the grid.

On the grid, draw the side elevation of the solid from the direction of the arrow.

Worked Solution & Answer

Width of plan = 3 squares, max height = 5 squares M1 A1

Answer: 3 wide by 5 high rectangle with solid horizontal lines at heights 1 and 3 and dashed line at height 2

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Question 4

[2 marks]

The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

In the space below, draw a sketch of the solid shape.
Give the dimensions of the solid on your sketch.

Worked Solution & Answer

Circular plan of diameter 4 cm and rectangular elevations of width 4 cm and height 5 cm M1
⇒ cylinder of diameter 4 cm and height 5 cm A1

Answer: Cylinder with diameter 4 cm (or radius 2 cm) and height 5 cm

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Question 5 AQA Nov 2021 3F Q29 / 3H Q10

[2 marks]

A solid shape is drawn on isometric paper.

(a) On the centimetre grid, draw the elevation of the shape from A. [1 mark]

(b) On the centimetre grid, draw a plan of the shape. [1 mark]

Worked Solution & Answer

(a)

Viewed from A, the shape has height 1 unit and total width 2 units: draw a 2 cm by 1 cm rectangle. B1

Answer (a): 2 cm by 1 cm rectangle drawn

(b)

Plan view from above is an L-shape: a 3 cm by 2 cm block with a 1 cm by 1 cm square removed from the corner. B1

Answer (b): L-shape plan drawn (3 cm by 2 cm minus 1 cm corner)

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Question 6 AQA Jun 2017 3F Q14

[2 marks]

Work out
(a) The front elevation, side elevation and plan of a solid are all the same, as shown (a square).
Write down the name of the solid.
14 (b) The front elevation, side elevation and plan of a solid are all the same, as shown (a circle).
Write down the name of the solid.

(a) The front elevation, side elevation and plan of a solid are all the same, as shown (a square).
Write down the name of the solid. [1 mark]

Answer

(b) The front elevation, side elevation and plan of a solid are all the same, as shown (a circle).
Write down the name of the solid. [1 mark]

Answer

Worked Solution & Answer

(a)

A solid whose front elevation, side elevation, and plan are all congruent squares is a cube. B1

Answer (a): Answer Cube

(b)

A solid whose front elevation, side elevation, and plan are all circles of equal diameter is a sphere. B1

Answer (b): Answer Sphere

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Question 7 Eduqas Nov 2019 1F Q19 / 1H Q1

[3 marks]

The diagram shows a cylinder with diameter 6 cm and height 4 cm.

On the 1 centimetre grid below, draw accurately:
• the plan of the cylinder,
• the side elevation of the cylinder.

Worked Solution & Answer

Plan view looking directly from above is a circle of diameter 6 cm (radius 3 cm) M2
Side elevation is a rectangle of width 6 cm and height 4 cm. A1

Answer: Plan is a circle of diameter 6 cm; side elevation is a rectangle 6 cm wide by 4 cm high

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Question 8 OCR Jun 2024 2F Q11

[3 marks]

The table shows the plan view and front elevation of some 3D solids.

Write the name of each 3D solid in the third column of the table.

Worked Solution & Answer

Row 1: Rectangle plan & rectangle front ⇒ Cuboid M1
Row 2: Circle with vertex dot plan & triangle front ⇒ Cone M1
Row 3: Divided rectangle plan & triangle front ⇒ Triangular prism. A1

Answer: Cuboid, Cone, Triangular prism

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Question 9

[3 marks]

The diagram shows a solid triangular prism.
Rana is trying to draw the side elevation of the solid prism from the direction of the arrow.
Here is her answer on a centimetre grid.

(a) Explain why Rana’s side elevation is not correct. [1 mark]

(b) On the centimetre grid below, draw a plan of the solid prism. [2 marks]

Worked Solution & Answer

(a)

Vertical height = √(4² – 3²) = √7 ≈ 2.65 cm ≠ 4 cm C1

Answer (a): She has used the slanted edge (4 cm) as the height of the rectangle instead of the perpendicular height of the prism (which is √7 ≈ 2.65 cm, less than 4 cm)

(b)

Plan view is 7 cm by 6 cm with ridge line halfway (3 cm) M1 A1

Answer (b): 7 cm by 6 cm rectangle with a central line parallel to the 7 cm sides (3 cm from each side)

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Question 10

[4 marks]

The diagram shows a prism with a cross section in the shape of a trapezium.

On the centimetre grid, draw the front elevation and the side elevation of the prism.
Use a scale of 2 cm to 1 m.

Worked Solution & Answer

Scale 2 cm = 1 m: Front elevation has base 2 m = 4 cm, left height 2 m = 4 cm, right height 0.5 m = 1 cm M3
Side elevation has width 1 m = 2 cm, total height 2 m = 4 cm, and step line at height 0.5 m = 1 cm. A1

Answer: Front elevation: trapezium with base 4 cm, left vertical side 4 cm, right vertical side 1 cm. Side elevation: 2 cm by 4 cm rectangle with horizontal line 1 cm from bottom.

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Score: 0 / 10 (0 / 24 marks)

Plans and elevations Worksheets Next: Scatter graphs →

Grade 4 Quizzes

24 Topics

4A - Compound interest	4B - Indices (index laws)
4C - Prime factors HCF and LCM	4D - Real life graphs
4E - Inequalities on a number line	4F - Solving inequalities
4G - Forming and solving equations	4H - nth term of a linear sequence
4J - Expanding and factorising	4K - Pythagoras theorem
4L - Angles in parallel lines	4M - Angles in polygons
4N - Surface area	4P - Volume of a cuboid
4Q - Volume of a prism	4R - Bearings
4S - Cylinders	4T - Plans and elevations
4U - Scatter graphs	4V - Probability
4W - Averages from tables	4X - Reverse mean
4Y - Area of a trapezium	4Z - Loci and construction