Three numbers, x, y and z are connected by the relationships y = \(\frac{4x}{9}\) + 1. If x = 99, Find z = \(\frac{4y}{9}\) + 1
- A. 6\(\frac{1}{3}\)
- B. 20
- C. 21
- D. 176\(\frac{4}{9}\)
- E. None of the above
Which of the formula below represents the general terms of the following set of numbers(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)……) for n = 1, 2, 3, 4…….?
- A. \(\frac{2}{n + 1}\)
- B. (-1)n + 1 \(\frac{2}{n + 1}\)
- C. (-1)n \(\frac{2}{n + 1}\)
- D. \(\frac{n}{2n - 1}\)
- E. (-1)n\(\frac{n}{2n - 1}\)
What factor is common to all the expressions x2 – x, 2x2 + x – 1 and x2 – 1?
- A. x
- B. x + 1
- C. x - 1
- D. No common factor
- E. (2x - 1)
Make c the subject of formula v = 1 – \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))
- A. [\(\frac{7}{3}\) + \(\frac{5}{a}\)(v - 1)] + b
- B. [\(\frac{7b}{3}\) + \(\frac{5}{a}\)(v - 1)]
- C. \(\frac{7}{3}\)[b + \(\frac{5}{a}\)(v - 1)]
- D. \(\frac{7}{3}\)[b + \(\frac{5v - 1}{a}\)]
Simplify \(\frac{log_{10}8}{log_{10}4}\)
- A. log102
- B. log104
- C. \(\frac{3}{2}\)
- D. 2
- E. None of the above
A man and his wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?
- A. N216
- B. N200
- C. N184
- D. N144
- E. N100
P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45o. What is the locus of x?
- A. A pair of straight lines parallel to PQ
- B. The perpendicular bisector of PQ
- C. An arc of a circle passing through P and Q
- D. A circle with diameter PQ
- E. The bisector of angle PXQ
The ratio of the areas of similar triangles is necessarily equal to
- A. the ratio of the corresponding sides
- B. the ratio of the squares of corresponding sides
- C. the ratio of the corresponding heights of the triangles
- D. half the ratio of the corresponding heights of the triangles
- E. the ratio of the corresponding bases to the heights of the triangles
A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height
- A. 2cm
- B. 3cm
- C. 4cm
- D. 5cm
- E. 6cm
Find the roots of the equation 10x2 – 13x – 3 = 0
- A. x = \(\frac{3}{5}\) or -\(\frac{1}{2}\)
- B. x = \(\frac{3}{10}\) or -1
- C. x = \(\frac{3}{10}\) or 1
- D. x = \(\frac{1}{5}\) or \(\frac{-3}{2}\)
- E. x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
List all integer values of x satisfying the inequality -1 < 2x – 5 \(\leq\) 5
- A. <2, 3, 4, 5
- B. 3, 4, 5
- C. 2, 3, 4
- D. 3, 4
The median of the set of numbers 4, 9, 4, 13, 7, 14, 10, 17 is
- A. 13
- B. 7
- C. \(\frac{19}{2}\)
- D. \(\frac{39}{4}\)
- E. 10
When a dealer sells a bicycle for N81 he makes a profit of 8%. What did he pay for the bicycle?
- A. N73
- B. N74.52
- C. N75
- D. N87.48
- E. N75.52
Rationalize the denominator of the given expression \(\frac{\sqrt{1 + a} – \sqrt{a}}{\sqrt{1 + a} + \sqrt{a}}\)
- A. 1 + 2a - 2\(\sqrt{a(1 + a)}\)
- B. \(\sqrt{1(1 + a)}\)
- C. 2a - 2\(\sqrt{a(1 + a)}\)
- D. 1 + 2a - 2\(\sqrt{a + b}\)
Which of the following is NOT a factor of 12\(^{4}\) – 5\(^{4}\)?
- A. 7
- B. 13
- C. 17
- D. 49
- E. 169
Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)
- A. \(\frac{1}{4}\)
- B. \(\frac{5}{4}\)
- C. \(\frac{9}{4}\)
- D. 4
- E. 9
Write down the number 0.0052048 correct to three significant figures
- A. 0.005
- B. 0.0052
- C. 0.00520
- D. 5.2048
- E. 5204
Find, correct to three significant figures, the value of \(\sqrt{41830}\).
- A. 205
- B. 647
- C. 2050
- D. 6470
- E. 64.7
Find the area of the shades segments in the figure
- A. \(\sqrt{3}
- B. 4 \(\pi - \sqrt{3}\)
- C. -\(\frac{2}{3} \pi\)
- D. \(\frac{2\pi}{3}\) -3
If Sin \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90º, calculate \(\frac{tan(90 – \theta)}{cos^2\theta}\)
- A. \(\frac{1}{2}\)
- B. \(\frac{4}{\sqrt{3}}\)
- C. \(\sqrt{3}\)
- D. 4\(\sqrt{3}\)
In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72o. Find angle SPR
- A. 20o
- B. 36o
- C. 72o
- D. 30o
- E. 15o