OCR GCSE Maths
Topic questions Geometry and measures Plans and elevations
12 questions · 49 marks · about 45 minutes
The diagram shows a prism of length 8 cm. The cross-section of the prism is a right-angled triangle.
Draw an accurate plan view of the prism on the one-centimetre grid below.
The diagram shows a prism of length 8 cm. The cross-section of the prism is a right-angled triangle.
Draw an accurate plan view of the prism on the one-centimetre grid below.
Also involves Properties of 3D shapes
The diagram shows an equilateral triangular prism. Each side of the equilateral triangle is 6 cm and the length of the prism is 7 cm.
Front elevation
Draw an accurate plan view of the prism on the one-centimetre square grid below.
Draw an accurate front elevation of the prism on the one-centimetre isometric grid below.
The diagram shows an equilateral triangular prism. Each side of the equilateral triangle is 6 cm and the length of the prism is 7 cm.
Front elevation
Draw an accurate plan view of the prism on the one-centimetre square grid below.
Draw an accurate front elevation of the prism on the one-centimetre isometric grid below.
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.
Plan view
Front elevation
Name of 3D solid
The diagram shows a square-based pyramid ABCDE. O is the centre of the base.
The pyramid has base length 20 cm and each sloping edge has length 14.5 cm.
Draw the plan view of the pyramid on the one-centimetre grid below.
Scale: 1 cm represents 4 cm.
Calculate the volume of the pyramid. You must show your working. [The volume of a pyramid is 
× area of base × perpendicular height]
Also involves Scale factors, scale diagrams and maps
The diagram shows a cylinder with radius 15 cm and height 20 cm.
On the grid below, draw the plan view of the cylinder. Use the scale 1 cm represents 5 cm.
On the grid below, draw the front elevation of the cylinder. Use the scale 1 cm represents 5 cm.
Also involves Scale factors, scale diagrams and maps
The diagram shows a cylinder with radius 15 cm and height 20 cm.
On the grid below, draw the plan view of the cylinder. Use the scale 1 cm represents 5 cm.
On the grid below, draw the front elevation of the cylinder. Use the scale 1 cm represents 5 cm.
Also involves Area of a triangle using sine
The diagram shows a prism.
Draw an accurate plan view of the prism on the one-centimetre square grid below.
Show that the volume of the prism is 72 cm3.
A cuboid with a square base also has a volume of 72 cm3. The height of the cuboid is 2 cm.
Work out the length of one side of the square base.
The curved surface of a solid is made from this flat shape.
Write down the mathematical name of the solid.
This is the plan view of a different solid.
Write down the mathematical name of the solid.
This is the plan view of a 3D object.
Complete the diagram below to show the front view of the 3D object from A.
Also involves Area and perimeter
The front and side elevations of a prism, with a pentagon as its cross section, are drawn on this one-centimetre square grid.
Draw accurately the plan of the prism on the grid below.
Calculate the volume of the prism.
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
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