Mathematics Past Questions And Answers
Find the maximum value of y in the equation y = 1 - 2x - 3x2
- A. 5/4
- B. 5/3
- C. 3/4
- D. 4/3
Consider the statements:
x: Birds fly
y: The sky is blue
Which of the following statements can be represented as x \(\to\) y?
- A. When birds fly, the sky is blue
- B. Birds fly if and only if the sky is blue?
- C. Either the bird is flying or the sky is blue.
- D. When the sky is blue, the bird flies.
P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO
- A. 45°
- B. 55°
- C. 35°
- D. 40°
A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. \([g = 9.8ms^{-2}]\)
- A. 750N
- B. 745N
- C. 735N
- D. 98N
The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?
- A. 36 π cm2/sec
- B. 18 π cm2/sec
- C. 6 π cm2/sec
- D. 3 π cm2/sec
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.
- A. 2/11
- B. 5/11
- C. 6/11
- D. 8/11
If \(\sqrt{50} - K\sqrt{8} = \frac{2}{\sqrt{2}}\), find K
- A. -2
- B. -1
- C. 1
- D. 2
The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?
- A. ( \(\frac{1}{2}\), \(\frac{15}{2}\) )
- B. ( \(\frac{1}{2}\), \(\frac{-15}{2}\) )
- C. ( \(\frac{-1}{2}\), \(\frac{-15}{2}\) )
- D. ( \(\frac{-1}{2}\), \(\frac{15}{2}\) )
simplify \(\frac{1}{√3 - 2}\) - \(\frac{1}{√3 + 2}\)
- A. 3
- B. 2/3
- C. 7
- D. -4
The table below shows how a man spends his income in a month.
| Items | Amount Spent |
| Food | N4500 |
| House Rent | N3000 |
| Provisions | N2500 |
| Electricity | N2000 |
| Transportation | N5000 |
| Others | N3000 |
(a) Represent the information on a pie chart.
(b) What percentage of his income is spent on transportation?
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