National 5 Prelim Revision Topics Worksheet - Elgin Academy Page 3
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5Volume
• Finding the volume of sphere/hemi-sphere, prism, cone, cylinder and composite shapes:
e.g. 18 Find the
volume of these shapes: a)
b)
• Working backwards to find missing dimensions
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e.g. 19 A cylinder has a volume of 154 cm
. If it has a height of 12 cm, calculate its radius.
Pythagoras
• Converse of Pythagoras
e.g. 20
Prove whether or not each triangle below is right angled:
a)
b)
19.5 cm
8.5 cm
7.6 cm
7.5 cm
18 cm
5.4 cm
Circles
• Find missing angles in diagrams involving circles – Angle in a Semi-circle, Tangents etc.
PQ is a diameter of a circle with centre O and ST is a tangent to the circle. R is a point
e.g. 21
on the circumference of the circle and ∠ PRO = 52
o
∠
R
S
(a) State the size of
RPO
∠
(b) Calculate the size of
ROQ
∠
0
52
(c) Calculate the size of
RQO
∠
(d) Calculate the size of
RQS
P
Q
O
T
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