Mathematics Past Questions and Answers

The angle of depression of a point on the ground from the top of a building is 20.3^o. If the foot of the building is 40m, calculate the height of the building, correct to one decimal place

A 37.5m
B 28.1m
C 27.8m
D 14.8m
E 13.9m

Question 97:

Solve for x: (x² + 2x + 1) = 25

A -6, -4
B 6, -4
C 6, 4
D -6, 4
E 5, 5

Question 98:

Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?

A P = 5xq
B P = 6xq
C P = x² + q³
D P = 2x + 3q
E P = x²q³

Question 99:

sinθ = ¹/₂ and cosθ = -√3/2, what is the value of θ?

A 30 ⁰
B 60 ⁰
C 90 ^o
D 120 ^o
E 150 ^o

Question 100:

What is the probability that 3 customers waiting in a bank will be served in the sequence of their arrival at the bank

A 1/6
B 1/3
C 1/2
D 2/3
E 5/6