GCSE
Mathematics
Targeting Grade C
Shape and Space
Unit 1 Solids
Can you…
If not you need
•Name polygons
Top: Names of shapes
•Identify congruent and similar shapes
Practice 1: Congruent and similar
shapes
•Draw nets of 3-D solids
Practice 2: Draw accurate nets
Try a test
TAIL 1
•Understand plans and elevations
Practice 3: Plans and elevations
•Name 3D solids
Practise 4: Name 3D solids
Try a test
TAIL 2
TOP Name these Polygons and show all equal sides and angles
Remember a regular
polygon has all its sides
equal length and angles
equal size
Use lines to show
equal lengths and
arrows to show
parallel sides
Lesson
Practice 1:
1.
5cm
4cm
9cm
6cm
7.5cm
(a)
Are these triangles similar?
(b)
Give reasons for your answer
6cm
2. Which of the following shapes are congruent?
B
A
C
F
E
D
Lesson
G
Practice 2:
Name these solids and draw their nets
1.
2.
3cm
2cm
4cm
3cm
5cm
4cm
3.
4.
5cm
2cm
3cm
3cm
Lesson
2cm
2cm
TAIL 1
Are you ready for
the answers ?
1. A regular hexagon is made from a rectangular piece of metal.
This is done by removing the four congruent triangles shown shaded in the diagram.
Diagram NOT
accurately drawn
2
The total area of the four shaded triangles is 600 cm2.
Find the area of the hexagon.
(3)
2.
3x600=1800cm
Here is a net of a cube.
A
Diagram NOT
accurately drawn
A
(a)
(b)
2 cm
A
(b)
The net is folded to make the cube.
Two other vertices meet at A.
Mark each of them with the letter A.
(2)
The length of each edge of the cube is 2 cm.
Work out the volume of the cube.
(3)
Work out the surface area of the cube.
(3)
2x2x2=8cm3
2
(2x2)x6=24cm
Next
3.
1
2
3
4
5
A
Are you ready for
the answers ?
B
The diagrams show some solid
shapes and their nets.
C
Match the solid shapes to their nets.
D
E
Lesson
Practice 3: Remember:
The plan is the view from above
The front elevation is the view from the front
The side elevation is the view from the side (right)
Next
Practice 3:
Here are the plan and front elevation of a prism.
The front elevation shows the cross section of the prism.
Are you ready for
the answers ?
Plan
(b) Draw a 3-D sketch of the prism.
(2)
(Total 5 marks)
Front elevation
(3)
(a) On the grid below, draw a side elevation of the prism.
Lesson
Practice 4:
Write down the mathematical name for each of these three different 3-D shapes.
Lesson
1.
TAIL 2
Here is the plan and side elevation of a prism.
The side elevation shows the cross section of
the prism.
Are you ready for
the answers ?
On the grid below, draw the front elevation of the
prism.
(Total 3 marks)
Next
Are you ready for
the answers ?
TAIL 2
2. Write down the mathematical name for each of these three different 3-D
shapes.
(Total 3 marks)
Sphere
Lesson
Cylinder
Triangular
based pyramid