Page 96 - MAT KS3 Y8 Cambridge CheckPoint

End-of-unit review

End-of-unit review
P
1 Which side is the hypotenuse in this right-angled triangle?
Q R
2 These two triangles are congruent.
B E

7.1 cm 80°
4.2 cm
70° 30°
A C D F
7.6 cm
a Write down the length of: i EF ii BC iii AC.
b What is the size of: i ∠ABC ii ∠EDF iii ∠EFD?

3 Write down i the number of lines of symmetry
ii the order of rotational symmetry of each of these shapes.
a b c d

4 Plot these points on a coordinate grid.
A(1, 4), B(3, 4), C(3, 2), D(1, 2), E(4, 6), F(7, 4), G(4, 0), H(6, 4)
Join points to make these shapes and write down the coordinates of the point where the
diagonals cross.
a ABCD b AEFG c AEHC
5 Sketch the net of each of these shapes.
a square-based pyramid b triangular prism

6 Here is the net of a cube.
When the net is folded to make the cube, which side meets with:
A
a side B b side C c side H
B C
d side I e side A f side N? D E F
G H

I J K
M
N

7 Ahmad makes a scale drawing of a car. He uses a scale of ‘1 cm represents 25 cm’.
a On his drawing the car is 18 cm long. How long is the car, in metres, in real life?
b The car in real life is 1.75 m high. How high is the car, in centimetres, on the scale drawing?

8 This is a sketch of an office.
a Make a scale drawing of the office.
Use a scale of 1 to 100.
b What is the real-life length of the red line AB?
Give your answer in metres.

94 8 Shapes and geometric reasoning