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Plans and elevations

Free Printable Plans and elevations PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 4)

Download free plans and elevations worksheets (PDF), GCSE maths past paper questions and worked solutions for Plans and elevations (4T). This is a Grade 4 geometry topic from the GCSE questions by topic collection for Foundation and Higher tier crossover GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Made Easy, M4ths.com, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our plans and elevations revision notes and worked examples with diagrams, try real GCSE past paper plans and elevations questions with step-by-step solutions, or download a PDF of all plans and elevations worksheet links.

Free Plans and elevations PDF Worksheets & Answers

Grade 4 • Topic 4T
Resource Questions Answers
GCSE past paper questions & solutions
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Graded exam questions & solutions
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Practice Questions & answers
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MME worksheet & model answers
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GCSE worksheet & answers
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GCSE topic booklet & answers
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PMT (Edxl)
Edexcel GCSE topic questions & solutions
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PMT (AQA)
AQA GCSE topic questions & solutions
 Qs Ans
PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
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Interactive online lesson & practice
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MathsPad interactive resource
Interactive online resource
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Grade 4 topics
4A - Compound interest4B - Indices (index laws)
4C - Prime factors HCF and LCM4D - Real life graphs
4E - Inequalities on a number line4F - Solving inequalities
4G - Forming and solving equations4H - nth term of a linear sequence
4J - Expanding and factorising4K - Pythagoras theorem
4L - Angles in parallel lines4M - Angles in polygons
4N - Surface area4P - Volume of a cuboid
4Q - Volume of a prism4R - Bearings
4S - Cylinders4T - Plans and elevations
4U - Scatter graphs4V - Probability
4W - Averages from tables4X - Reverse mean
4Y - Area of a trapezium4Z - Loci and construction
GCSE Maths Grade 4 Revision Notes & Method

Guide to Plans and elevations: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

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.

3D Solid 3 Plan 6 cm 8 Front 6 cm 8 Side
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).

3D Solid 6 cm Plan h = 5 Front (6 cm) Side (6 cm)
Plan: 6×6 square with diagonals;  Front & Side: triangles (base 6, h = 5).
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Plans and elevations Questions & Answers

Past Paper Example 1 AQA Nov 2020 3F Q19 2 marks
Full Paper (PDF) • Mark Scheme (PDF)
The side elevation and plan of a cuboid are shown on the centimetre grid.
Side elevationPlan
Draw the front elevation of the cuboid on this centimetre grid.
Worked Solution & Mark Scheme (2 marks)
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
Side elevationPlanFront elevation
Answer: Answer Rectangle 2 cm wide by 3 cm high
Past Paper Example 2 GCSE Nov 2022 2F Q19 / 2H Q2 2 marks
Full Paper (PDF) • Mark Scheme (PDF)
The front elevation and the plan of a solid are shown on the grid.
Front elevationPlan
On the grid, draw the side elevation of the solid from the direction of the arrow.
Worked Solution & Mark Scheme (2 marks)
Width of plan = 3 squares, max height = 5 squares M1 A1
Front elevationPlan
Answer: 3 wide by 5 high rectangle with solid horizontal lines at heights 1 and 3 and dashed line at height 2
Past Paper Example 3 GCSE May 2019 1F Q25 / 1H Q4 2 marks
Full Paper (PDF) • Mark Scheme (PDF)
The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.
PlanFront elevationSide elevation
In the space below, draw a sketch of the solid shape.
Give the dimensions of the solid on your sketch.
Worked Solution & Mark Scheme (2 marks)
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
PlanFront elevationSide elevation4 cm5 cm
Answer: Cylinder with diameter 4 cm (or radius 2 cm) and height 5 cm

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