Find the non-zero positive value of x which satisfies the equation
\(\begin{bmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x \end{bmatrix}\) = 0
- A. 2
- B. \(\sqrt{3}\)
- C. \(\sqrt{2}\)
- D. 1
A surveyor walks 500m up a hill which slopes at an angle of 30\(^o\). Calculate the vertical height through which he rises
- A. 252m
- B. 500m
- C. 250m
- D. 255m
The mean age group of some students is 15years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages become 18 years. Find the number of students in the group.
- A. 7
- B. 9
- C. 15
- D. 42
The sum of the interior angle of pentagon is 6x + 6y. Find y in terms of x.
- A. y = 6 - x
- B. y = 90 - x
- C. y = 120 - x
- D. y = 150 - x
In a class of 40 students, 32 offer mathematics, 24 offer physics and 4 offer neither mathematics nor physics. How many offer both mathematics and physics?
- A. 4
- B. 8
- C. 16
- D. 20
Three consecutive terms of a geometric progression are give as n – 2, n and n + 3. Find the common ratio
- A. \(\frac{3}{2}\)
- B. \(\frac{2}{3}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{1}{4}\)
The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart?
- A. 180\(^o\)
- B. 36\(^o\)
- C. 60\(^o\)
- D. 108\(^o\)
A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?
- A. 25m
- B. 23m
- C. 22m
- D. 20m
A sector of circle of radius 7.2cm which substends an angle of 300\(^o\) at the centre is used to form a cone. What s the radius of the base of the cone?
- A. 8cm
- B. 9cm
- C. 6cm
- D. 7cm
The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
- A. \(\frac{\pi r}{3}\)
- B. \(\frac{\pi r}{2}\)
- C. \(\frac{\pi r}{12}\)
- D. \(\frac{\pi r}{6}\)
A binary operation x is defined by a x b = a\(^b\). If a x 2 = 2 – a, find the possible values of a?
- A. 1, -2
- B. 2, -1
- C. 2, -2
- D. 1, -1
Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x – \sqrt{2}}\)
- A. 3\(\sqrt{2}\) + 4
- B. 3\(\sqrt{2}\) - 4
- C. 3 - 2\(\sqrt{2}\)
- D. 4 + 2\(\sqrt{2}\)
If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)
- A. x > -\(\frac{1}{6}\)
- B. x > 0
- C. 0 < x < 6
- D. 0 < x <\(\frac{1}{6}\)
The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary.
- A. N2,050
- B. N2600
- C. N3,100
- D. N3,450
Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years.
- A. 6%
- B. 8%
- C. 10%
- D. 12%
A school boy lying on the ground 30m away from the foot of a water tank towel observes that the angle of elevation of the top of the tank is 60\(^o\). Calculate the height of the tank.
- A. 60\(\sqrt{3m}\)
- B. 30\(\sqrt{3m}\)
- C. 20\(\sqrt{3m}\)
- D. 10\(\sqrt{3m}\)
Express the product of 0.0014 and 0.011 in standard form
- A. 1.54 x 10\(^{-2}\)
- B. 1.54 x 10\(^{-3}\)
- C. 1.54 x 10\(^{-2}\)
- D. 1.54 x 10\(^{-5}\)
The equation of the line in the graph is
- A. 3y = 3x + 12
- B. 3y = 3x + 12
- C. 3y = -4x + 12
- D. 3y = -4x + 9
A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime.
- A. \(\frac{2}{11}\)
- B. \(\frac{5}{11}\)
- C. \(\frac{6}{11}\)
- D. \(\frac{8}{11}\)
Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13
- A. 2
- B. 4
- C. 12
- D. 17
If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x.
- A. 3
- B. 4
- C. 12
- D. 17