Find x if (x – 2)2 = 1\(\frac{7}{9}\)
- A. \(\frac{2}{3}\) or \(\frac{2}{7}\)
- B. 3\(\frac{1}{3}\) or \(\frac{2}{3}\)
- C. 3\(\frac{7}{9}\) or \(\frac{2}{7}\)
- D. 3\(\frac{1}{3}\) or \(\frac{7}{9}\)
- E. \(\frac{3}{7}\) or \(\frac{2}{9}\)
Express the product of 0.007 and 0.057 to two significant figures
- A. 0.0004
- B. 0.00039
- C. 0.004
- D. 0.0039
- E. 0.04
A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man
- A. 50° 54′
- B. 35° 06′
- C. 30° 00′
- D. 290 90′
- E. 29° 54′
A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?
- A. \(\frac{1}{6}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{16}{18}\)
- D. \(\frac{3}{8}\)
- E. \(\frac{4}{9}\)
The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus
- A. 68cm
- B. 72cm
- C. 80cm
- D. 88cm
- E. 92cm
If the mean of the following set of data, 2, 3,3,3, 2,4, 4, and 3 is divided by its mode, the result is:
- A. 1
- B. 2
- C. 3
- D. 5
- E. 8
The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?
- A. 3
- B. \(\frac{2}{3}\)
- C. \(\frac{1}{3}\)
- D. -\(\frac{1}{3}\)
- E. -3
Express the quotient of 0.422 and 0.004 in standard form
- A. 1.055 × 102
- B. 10.55 × 101
- C. 105 × 100
- D. 10.55 × 10-1
- E. 1.055 × 10-2
Evaluate ut – \(\frac{1}{2}\)ft2 when t = 5, u = -20 and f = 10
- A. 225
- B. 72
- C. -75
- D. -125
- E. -225
If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 – tan x)
- A. 9
- B. 7
- C. 4
- D. \(\frac{7}{16}\)
- E. \(\frac{9}{25}\)
One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon
- A. 3
- B. 4
- C. 6
- D. 9
- E. 12
Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) – \(\frac{5}{6t}\) + 1 is equal to zero
- A. \(\frac{1}{6}\)
- B. \(\frac{1}{-14}\)
- C. - \(\frac{3}{2}\)
- D. \(\frac{7}{6}\)
- E. \(\frac{2}{5}\)
If log102 = 0.3010 and log103 = 0.4771, simplify: (Log108-log92) ÷ (Log109 – log102)
- A. 4
- B. 3
- C. 0.0784
- D. -4
- E. -0.0784
A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?
- A. P -3q
- B. \(\frac{1}{3}\) (p - 3q)
- C. 3q
- D. 4p - q
- E. 12p - 3q
Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?
- A. 10.5yrs.
- B. 11yrs.
- C. 11.5 yrs.
- D. 12yrs.
- E. 12.5yrs.
The bearing of Y from X is 085º. What is the bearing of X from Y?
- A. 005°
- B. 095°
- C. 185°
- D. 265°
- E. 275°
The roots of a quadratic equation in x, are -m and 2n. Fine equation.
- A. x2 - x(2n-m) – 2mn = 0
- B. x2 + x(2n - m) - 2mn = 0
- C. x2 + x(m - 2n) + 2mn = 0
- D. X2 + x (m + 2n ) + 2mn = 0
- E. x2 - x (m - 2n) - 2mn = 0
Evaluate (Log13 – log5) ÷ X(log5-log13) without using tables
- A. X
- B. –x
- C. X-1
- D. –X-1
- E. -1
A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place?
- A. 6.00%
- B. 6.20%
- C. 6.30%
- D. 6.60%
- E. 6.70%
What must be added to b2-3ab to make it a perfect square?
- A. -3a
- B. -\(\frac{3}{2}\)
- C. \(\frac{9}{4}\)
- D. \(\frac{9a}{4}\)
- E. \(\frac{9^2}{4}\)
A car travels at an average speed of 75km/h. Find its speed in metres per second.
- A. 270m/s
- B. 208m/s
- C. 27.0m/s
- D. 20.8m/s
- E. 2.08m/s