2.4.4 20 = 1
__ 2 ( x ) ( x − 3 )
40 = x 2 − 3x
x 2 − 3x − 40 = 0 ( x − 8 ) ( x + 5 ) = 0 x = 8 or x = −5 But x must be a positive number, so x = 8 only. Therefore base = 8 cm Height = 5 cm
3.1.1 30 minutes/half an hour.
3.1.2 The car had the greater speed as the gradient of its graph is steeper. 3.1.3 57 km (45 km + 12 km)
3.1.4 Speed = D
__ T = 6 km
__ 6 h
____ 1
= 36 km/h 3.1.5 Between 10:40 and 11:50
3.1.7 Average speed of car = 90 Average speed of van = 90
3.2 3y – 4x = 12
3.1.6 The car took 3 hours and 50 minutes and the van took 5 hours and 30 minutes.
____ 3,83 = 23,5 km/h
___ 5,5 = 16,4 km/h
(3)
[23] (1) (2) (1)
(2) (1) (2)
(2) (4)
y = 3
__ 4 x – 3
4.1
Area of front face = 6 × 3 − ( 1 × 1 + 2 × 1 ) + 2 × 6 × 1 = 18 m 2
( 1 __
Area of side face = 8 × 3 − 2 × 1 = 22 m 2
Diagonal of roof = √
_______ 1 2 + 3 2 = √
Area of roof panel = 8 × √
___ 10 = 25,3 m 2
___ 10 m
4.2 Volume of rectangular prism = 8 × 6 × 3 = 144 m 3 Volume of triangular prism = 1
Total volume = 144 m 3 + 24 m 3 = 168 m 3
Total area = 2 × front face + 2 × side face + 2 × roof panel = 2 ( 18 ) + 2 ( 22 ) + 2 ( 25,3 ) = 130,6 m 2
__ 2 × 6 × 1 × 8 = 24 m 3
(3) TOTAL: 50 Marks 344 Section 4: Teaching Mathematics (3) ) [15]
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