Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

• A. 5/8
• B. 5/7
• C. 5/11
• D. 5/9

Solve the inequality 2 - x > x².

• A. x< -2 or x > 1
• B. x > 2 or x< -1
• C. -1< x< 2
• D. -2< x< 1

If \((x - 5)\) is a factor of \(x^3 - 4x^2 - 11x + 30\), find the remaining factors.

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

Forces of magnitude 8N and 5N act on a body as shown below. Calculate, correct to 2 dp, the angle that the resultant makes with the horizontal.

• A. 80.76°
• B. 75.00°
• C. 71.99°
• D. 15.00°

For what value of x is the expression \(\frac{x^2 + 15x + 50}{x - 5}\) not defined ?

• A. -10
• B. -5
• C. o
• D. 5

Express 0.000834 in standard form

• A. 8.34 x 10^-4
• B. 8.34 x 10^-3
• C. 8.34 x 10³
• D. 8.34 x 10⁴

Express 0.9 as a percentage.

• a. 9%
• b. 30%
• c. 50%
• d. 90%

The table above shows the distribution of marks of students in a class. Find the upper class boundary of the modal class.

• A. 13.5
• B. 16
• C. 16.5
• D. 22.5

A girl spent 1/2 of her money at the market and 1/5th of the remaining amount at the bakery. If she had N1,000 originally, how much has she left?

• a. N100
• b. N200
• c. N300
• d. N400

Resolve \(\frac{3}{x^2 + x - 2}\) into partial fractions

• A. \(\frac{1}{x - 1} - \frac{1}{x + 2}\)
• B. \(\frac{1}{x + 1} + \frac{1}{x - 2}\)
• C. \(\frac{1}{x + 1} - \frac{1}{x - 2}\)
• D. \(\frac{1}{x - 2} + \frac{1}{x + 2}\)