| Marks | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | 7 | 4 | 18 | 12 | 8 | 11 |
The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution
- A. 4
- B. 3
- C. 1
- D. 2
In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33\(^o\), find the value of (m + n)
- A. 103\(^o\)
- B. 123\(^o\)
- C. 133\(^o\)
- D. 143\(^o\)
The diagram shows a circle O. If < ZYW = 33\(^o\) , find < ZWX
- A. 33\(^o\)
- B. 57\(^o\)
- C. 90\(^o\)
- D. 100\(^o\)
In the diagram, XY is a straight line. <POX = <POQ and <ROY = <QOR. Find the value of <POQ + <ROY.
- A. 60\(^o\)
- B. 90\(^o\)
- C. 100\(^o\)
- D. 120\(^o\)
The diagram shows a circle centre O. if 29 and
- A. 12\(^o\)
- B. 15\(^o\)
- C. 29\(^o\)
- D. 34\(^o\)
Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n \(\oplus 4\))
- A. 1
- B. 2
- C. 3
- D. 4
A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take\(\frac{22}{7}\)]
- A. 7.83\(m^2\)
- B. 32.29\(m^2\)
- C. 50.29\(m^2\)
- D. 82.50\(m^2\)
Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9
- A. 2.2
- B. 3.4
- C. 4.0
- D. 4.2
If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate
- A. N2,500.00
- B. N2,600.00
- C. N4,500.00
- D. N4,600.00
Two bottles are drawn with replacement from a crate containing 8 Coke, 12 Fanta, and 4 Sprite bottles. What is the probability that the first is coke and the second is not coke?
- A. \(\frac{1}{12}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{2}{9}\)
- D. \(\frac{3}{8}\)
Given that t = \(2 ^{-x}\), find \(2 ^{x + 1}\) in terms of t.
- A. \(\frac{2}{t}\)
- B. \(\frac{t}{2}\)
- C. \(\frac{1}{2t}\)
- D. t
Consider the statements: p it is hot, q: it is raining
Which of the following symbols correctly represents the statement “It is raining if and only if it it is cold”?
- A. p \(\iff\) \(\sim\)q
- B. p \(\iff\) q
- C. \(\sim\)p \(\iff\) \(\sim\)q
- D. q \(\iff\) \(\sim\)p
Make x the subject of the relation d = \(\sqrt{\frac{6}{x} – \frac{y}{2}}\)
- A. x = \(\frac{6 + 12}{d^2 + y}\)
- B. x = \(\frac{12}{d^2 - y}\)
- C. x = \(\frac{12}{y} - 2d^2\)
- D. x = \(\frac{12}{2d^2 + y}\)
The roots of a quadratic equation are \(\frac{-1}{2}\) and \(\frac{2}{3}\). Find the equation.
- A. \(6x^2 - x + 2 = 0\)
- B. \(6x^2 - x - 2 = 0\)
- C. \(6x^2 + x - 2 = 0\)
- D. \(6x^2 + x + 2 = 0\)
Find the 6th term of the sequence \(\frac{2}{3} \frac{7}{15} \frac{4}{15}\),…
- A. -\(\frac{1}{3}\)
- B. -\(\frac{1}{5}\)
- C. -\(\frac{1}{15}\)
- D. \(\frac{1}{9}\)
Simplify the expression \(\frac{a^2 b^4 – b^2 a^4}{ab(a + b)}\)
- A. \(a^2 - b^2\)
- B. \(b^2 - a^2\)
- C. \(a^2b - ab^2\)
- D. \(ab^2 - a^2b\)
Three exterior angles of a polygon are 30\(^o\), 40\(^o\) and 60\(^o\). If the remaining exterior angles are 46\(^o\) each, name the polygon.
- A. decagon
- B. nonagon
- C. octagon
- D. hexagon
Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) – 2\sqrt{3}\)
- A. 4
- B. \(\sqrt{3} + 4\)
- C. 4 \(\sqrt{2}\)
- D. 4\(\sqrt{3} + 4\)
In what number base was the addition 1 + nn = 100, where n > 0, done?
- A. n - 1
- B. n + 1
- C. n
- D. n + 2
The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group
- A. 10.1 years
- B. 9.3 years
- C. 8.7 years
- D. 8 . 3 years
Given that cos 30\(^o\) = sin 60\(^o\) = \(\frac{3}{2}\) and sin 30\(^o\) = cos 60\(^o\) = \(\frac{1}{2}\), evaluate \(\frac{tan 60^o – 1}{1 – tan 30^o}\)
- A. \(\sqrt{3 - 2}\)
- B. 2 - \(\sqrt{3}\)
- C. \(\sqrt{3}\)
- D. -2