In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP
4cm
16cm
9cm
14cm
Impossible, insufficient data
Correct answer is B
\(\frac{PQ}{6 + RT} = \frac{6}{12} = \frac{6}{PS}\)(Similar triangles)
\(\frac{6}{12} = \frac{8}{PS}\)
PS = \(\frac{12 \times 8}{6}\)
= 16cm
Find the x co-ordinates of the points of intersection of the two equations in the graph
1, 1
0, 4
0,0
4, 0
4, 9
Correct answer is D
If y = 2x + 1 and y = x2 - 2x + 1
then x2 - 2x + 1 = 2x + 1
x2 - 4x = 0
x(x - 4) = 0
x = 0 or 4
In the figure, determine the angle marked y
66o
110o
26o
70o
44o
Correct answer is A
From the diagram, < p = 44o, < Q = 70o
< y = 180o - (70 + 44o) = 66o
In the figure, QRS is a line, PSQ = 35o, SPR = 30o and O is the centre of the circle. Find OQP.
35o
30o
130o
25o
65o
Correct answer is D
< PSQ = 35o, < SPR = 30o
O is the centre of the circle, PRQ = 65o
< OQP = 90 - 65
= 25o
In the figure, PQRSTW is a regular hexagon. QS intersects RT at V. Calculate TVS
60o
90o
120o
30o
80o
Correct answer is A
From the diagram, PQRSTW is a regular hexagon.
Hexagon is a six sided polygon.
Sum of interior angles of polygon = (2n - 4)90o = [2 x 6 - 4] x 90 = 8 x 90 = 720o
each angle = \(\frac{720^o}{6} = 120^o\) and TVS = \(\frac{120}{2} = 60^o\)
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