H
G
E
The diagram shows a cuboid with space diagonal BH.
11cm
Using Pythagoras and SOHCAHTOA
work out the lengths of
C
a) BD b) BH c) angle DBH
8cm
F
D
A
19cm
B
The diagram shows a cuboid with space diagonal BC.
Using Pythagoras and SOHCAHTOA
work out the lengths of
a) AB b) BC c) angle ABC
C
7cm
17cm
A
B
Algebraic Fractions ­ sheet 1
Simplify each of the algebraic fractions shown below.
Method : factorise the numerator, factorise the denominator
cancel the terms which are the same
6cm
r Using formulae Sphere π 2 Volume V = 4 r
π 3 ; Total surface area A = 4 r
3
Use the above formula to find the volume and total surface
area of the spheres below
5.8cm 4.2cm 3.9cm Using formulae r
h
π 2h ; Total surface area A = 2 r( r + h)
Volume V = r
π
Use the above formula to find the volume and total surface
area of the cylinders below
14.4cm
8.7cm
5.2cm
3.6cm
r
h
Using formulae s
1π 2h ; Total surface area A = r( r + s)
π
Volume V = r
3
8.6cm
Use the above formula to find the
volume and total surface
area of the cones shown
2.5cm
4.8cm
5.4cm
11.2cm
12cm