Mathematics Past Questions And Answers
A bicycle wheel of diameter 70 cm covered a distance of 350 cm in 2 seconds. How many radians per second did it turn?
- A. 5
- B. 7
- C. 8
- D. 10
In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
- A. 30cm
- B. 32cm
- C. 35cm
- D. 37cm
If \(f(x) = x^{2}\) and \(g(x) = \sin x\), find g o f.
- A. \(\sin^{2} x\)
- B. \(\sin x^{2}\)
- C. \((\sin x)x^{2}\)
- D. \(x \sin x\)
A ladder 6m long leans against a vertical wall at an angle 53° to the horizontal. How high up the wall does the ladder reach?
- A. 3.611m
- B. 4.521m
- C. 4.792m
- D. 3.962m
The derivative of cosec x is
- A. tan x cosec x
- B. -cot x cosec x
- C. tan x sec x
- D. -cot x sec x
If the sum of the roots of 2x\(^2\) + 5mx + n = 0 is 5, find the value of m.
- A. - 2.5
- B. - 2.0
- C. 2.0
- D. 2.5
If \(-2x^3 + 6x^2 + 17x\) - 21 is divided by \((x + 1)\), then the remainder is
- A. 32
- B. 30
- C. -30
- D. -32
Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3
- A. \(\frac{1}{5}\)
- B. \(\frac{2}{5}\)
- C. \(\frac{3}{5}\)
- D. \(\frac{4}{5}\)
Let A and B denote the events that the man wins contracts X and Y respectively.
Then P(A) = 0.5
P(A') = 1 - 0.5 = 0.5
P(B') = 0.3
P(B) = 1 - 0.3 = 0.7
(a) The probability that the man wins both contracts = \(0.5 \times 0.7 = 0.35\).
(b) The probability that the man wins exactly one of the contracts is \(P(A) \times P(B') + P(B) \times P(A')\)
= \(0.5 \times 0.3 + 0.7 \times 0.5\)
= \(0.15 + 0.35\)
= \(0.50\)
(c) Neither of the contracts (i.e not X, not Y) = \(P(A') \times P(B')\)
= \(0.5 \times 0.3\)
= \(0.15\)
View Discussion (0)WAEC 2014 THEORYA force of 32 N is applied to an object of mass m kg which is at rest on a smooth horizontal surface. If the acceleration produced is 8\(ms^{-2}\), find the value of m.
- A. 12
- B. 16
- C. 6
- D. 4