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
Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
- A. 5x + 7y = 120
- B. 7x + 5y = 70
- C. x + y = 7
- D. 15x + 17y = 90
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
- A. 2
- B. -4
- C. -2
- D. 4
In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS
- A. 136\(^o\)
- B. 124\(^o\)
- C. 112\(^o\)
- D. 68\(^o\)
A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?
- A. \(\frac{5}{12}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{3}{4}\)
- D. \(\frac{7}{12}\)
What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?
- A. 5
- B. 3
- C. 1
- D. \(\frac{1}{25}\)
The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.
- A. 25.4cm
- B. 25.4cm
- C. 25.6cm
- D. 29.8cm