Mathematics Past Questions and Answers

If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k

A 58
B 38
C 19
D 11
E 967

Question 22:

From the kip of a storey-buliding, the angle of depression of a mango on a tree 20 m away from the base of the storey-building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey-building to the nearest metre?

A 55m
B 54m
C 50m
D 49m
E 45m

Question 23:

The mean age of 12 boys involved survey is 19 years, 3 months. lf the-age of one of the boys is 22 years, what is the mean age of the other-boys?

A 10.5 years
B 19.0 years
C 35.4 years
D 264.0 years
E 423.5 years

Question 24:

If cos x = - \(\frac{5}{13}\) where 180° < X < 270°, what is the value of tan x -sin x ?

A \(\frac{111}{13}\)
B \(\frac{321}{65}\)
C -\(\frac{216}{65}\)
D \(\frac{112}{13}\)
E \(\frac{131}{65}\)

Question 25:

Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2

A \(\frac{64}{5}\)
B 6
C \(\frac{5}{34}\)
D \(\frac{-5}{34}\)
E \(\frac{-64}{5}\)