The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?
△ PQK
△ PKS
△ SKR
△ PSR
Correct answer is C
No explanation has been provided for this answer.
A boy looks through a window of a building and sees a mango fruit on the ground 50m away from the foot of the building. If the window is 9m from the ground, calculate, correct to the nearest degree, the angle of depression of the mango from the window
9o
10o
11o
12o
Correct answer is B
tan θ = 950 = 0.18 θ=tan−10.18 θ = 10.20
If 27x = 9y. Find the value of xy
13
23
112
3
27x = 9y 33x = 32y 3x = 2y
In a quiz competition, a student answers n questions correctly and was given D(n + 50) for each question correctly answered. If he gets D600.00 altogether, how many questions did he answer correctly?
18
15
12
10
Correct answer is D
let the number of question = n n(n + 50) = 600 n2 + 50n - 600 - 0 by quadratic formular x = b±√b2−4ac2 n = −50±√502−4(1)(−600)2(1) = −50±√49002 = −50+702 = 202 = 10
John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
11cm
18cm
21cm
34cm
Correct answer is A
volume of rectangular container = L x B x H 1 litre = 1000cm3 96 litres = 1000cm31litres x 96 litres volume = 96000cm3 96000 = 220 x 40 96--- = 8800H H = 960008800 = 10.97cm = 11cm
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