The table shows the monthly contributions and expenditure pattern of an employee in 1999.

(a) Draw a pie chart to illustrate the data.

(b) If the employee's gross monthly salary was N10,800.00, calculate (i) the pension contribution of the employee ; (ii) the income tax paid by the employee.

(c) If the pension contribution and income tax were deducted from the gross monthly salary, before payment, calculate the take- home pay of the employee.

Solve the simultaneous equations \(\frac{2}{x} - {\frac{3}{y}}\) = 2, \(\frac{4}{x} + {\frac{3}{y}}\) = 10

• A. x = \(\frac{3}{2}\), y = \(\frac{3}{2}\)
• B. x = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
• C. x = \(\frac{-1}{2}\), y = \(\frac{-3}{2}\)
• D. x = \(\frac{1}{2}\), y = \(\frac{3}{2}\)

Given that \(f(x) = 2x^{3} - 3x^{2} - 11x + 6\) and \(f(3) = 0\), factorize f(x).

• A. (x - 3)(x - 2)(2x + 2)
• B. (x + 3)(x - 2)(x - 1)
• C. (x - 3)(x + 2)(2x -1)
• D. (x + 3)(x - 2)(2x - 1)

Simplify \((25)^{\frac{-1}{2}} \times (27)^{\frac{1}{3}} + (121)^{\frac{-1}{2}} \times (625)^{\frac{-1}{4}}\)

• A.³⁴/₅₅
• B.⁹/₁₁
• C.¹⁴/₅
• D.³/₂₇₅

Find the range of 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3

• A. 3/4
• B. 5/6
• C. 7/6
• D. 4/3

In a class of 50 pupils, 35 like Science and 30 like History. What is the probability of selecting a pupil who likes both Science and History?

• A. 0.10
• B. 0.30
• C. 0.60
• D. 0.70

The graph of the quadratic expression

• A. y=x²+x-2
• B. y=x²-x+2
• C. y=x²-x-2
• D. y=x+x+2

Evaluate \(∫^0_{-1}\) (x + 1)(x - 2) dx

• A. 7/6
• B. 5/6
• C. -5/6
• D. -7/6

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax³ + bx² + cx - 1, find a, b, c in that order.

• A. -1/2, 1, 1/2
• B. 1/2, 1, 1/2
• C. 1/2, 1, -1/2
• D. 1/2, -1, 1/2

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

• A. 3.92cm³
• B. 2.13cm³
• C. 1.97cm³
• D. 1.62cm³