Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square
- A. 5
- B. 3
- C. \(\frac{5}{2}\)
- D. \(\frac{5}{4}\)
- E. \(\frac{1}{5}\)
If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x
- A. 75
- B. 120
- C. 165
- D. 195
- E. 240
If n{A} = 6, n{B} = 5 and n{A โฉ B} = 2, find n{A โช B}
- A. 7
- B. 8
- C. 9
- D. 13
- E. 15
An arc of a circle subtends an angle of 75ยฐ at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take ฯ = 3.142)
- A. 4.58 cm
- B. 8.02 cm
- C. 16.04 cm
- D. 32.08 cm
- E. 34 cm
Given that (3 – y) รท 2x = (6y + 7) รท (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. \(\frac{-64}{5}\)
If cos x = – \(\frac{5}{13}\) where 180ยฐ < X < 270ยฐ, 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. \(\frac{131}{65}\)
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
From the top of a storey-buliding, the angle of depression of a mango on a tree 20m away from the base of the storey building is 68ยฐ. 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
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
The bearing of a point Y from point x is 150ยฐ. What is the bearing of X from Y?
- A. 330ยฐ
- B. 240ยฐ
- C. 150ยฐ
- D. 120ยฐ
- E. 30ยฐ
Simplify 27\(^{-\frac{1}{3}}\) \(\times\) 64\(^{-\frac{1}{3}}\) \(\times\) 4\(^{\frac{1}{3}}\)
- A. 48
- B. 12
- C. \(\frac{4}{3}\)
- D. \(\frac{1}{12}\)
- E. \(\frac{1}{48}\)
Find the 19th term of the A.P. \(\frac{5}{6}\), \(\frac{8}{6}\), \(\frac{11}{6}\)……………..
- A. 7\(\frac{1}{2}\)
- B. 9
- C. 9\(\frac{1}{2}\)
- D. 9\(\frac{5}{6}\)
- E. 10
Mr Aborowa bought a car for N200,000.00 and later sold it for N170,000.00. What is the percentage loss?
- A. 11.60%
- B. 7.60%
- C. 15%
- D. 17.65%
If s = \(\sqrt{(\frac{a^2}{x^2} – \frac{b^2}{y^2})}\)what does y equal?
- A. \(\sqrt{\frac{(b^2 - a^2)}{(s^2 - x^2)}}\)
- B. \(\sqrt{\frac{(b^2 - a^2)}{(s^2 \times 2)}}\)
- C. \(\sqrt{\frac{x^2 - a^2 - b^2}{s}}\)
- D. \(\frac{x^2 - a^2 - b^2}{s}\)
- E. \(\sqrt{\frac{(b^2 x^2)}{(a^2 - s^2 x^2)}}\)