2500450065008500105001250014500
10
20
30
40
50
60
70
80
90
100
110
120
103
19
70
77
85
99
Mass of vehicles (in kg)
Frequency
a)Write down the modal class of the data.
(1 mark)
b)Estimate the mean gross vehicle mass for the month.
(5 marks)
c)Which of the measures of central tendency, the modal class or the estimated mean, will be most appropriate to describe the data set? Explain
your choice.
(1 mark)
[TOTAL: 7 marks]
- a)In the diagram below,D( 3 ; 3),E( 3 ; 5)andF( 1 ;k)are three points in the Cartesian plane.
E(3; 5)
F( 1;k)
D( 3; 3)
x
y
i.Calculate the length ofDE.
(2 marks)
ii.Calculate the gradient ofDE.
(2 marks)
iii. Determine the value ofkifDEF^ = 90°.
(4 marks)
iv.Ifk= 8 , determine the coordinates ofM, the midpoint ofDF.
(2 marks)
v.Determine the coordinates of a pointGsuch that the quadrilateralDEF Gis a rectangle.
(4 marks)
b)Cis the point(1 ; 2). The pointDlies in the second quadrant and has coordinates(x; 5). If the length ofCDis
p
53 units, calculate
the value ofx.
(4 marks)
[TOTAL: 18 marks]
- a)In the diagram below,△ABCis right-angled atB.
B C
A
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