In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?

• A. 95
• B. 80
• C. 125
• D. 110

A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at N15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for N50.00, how much did she make by selling all the oil?

• A. N62.50
• B. N35.00
• C. N31.00
• D. N25.00

Find a positive value of \(\alpha\) if the coordinate of the centre of a circle x\(^2\) + y\(^2\) - 2\(\alpha\)x + 4y - \(\alpha\) = 0 is (\(\alpha\), -2) and the radius is 4 units.

• A. 1
• B. 2
• C. 3
• D. 4

Factorize k² - 2kp + p².

• A. (k +p)²
• B. (k - p)²
• C. k² + p²
• D. k² - p²

If log₂(3x - 1) = 5, find x.

• A. 2.00
• B. 3.67
• C. 8.67
• D. 11

Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)

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

From the diagram below. ABC is a triangle inscribed in a circle center O. ∠ACB = 40° and |AB| = x cm. calculate the radius of the circle.

• A. \(\frac{x}{sin 40^o}\)
• B. \(\frac{x}{cos 40^o}\)
• C. \(\frac{x}{2 sin 40^o}\)
• D. \(\frac{x}{2 cos 40^o}\)

If y = (1 - 2x)³, find the value of dy/dx at x = -1

• A. 57
• B. 27
• C. -6
• D. -54

The curve surface area of a cylinder, 5cm high is 110cm². Find the radius of its base. [Take \(\pi = \frac{22}{7}\)]

• A. 2.6cm
• B. 3.5cm
• C. 3.6cm
• D. 7.0cm

5, 8, 6 and k occur with frequency 3, 2, 4, and 1 respectively and have a mean of 5.7. Find the value of k?

• A. 4
• B. 3
• C. 2
• D. 1