Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)

• A. -22
• B. -14
• C. 14
• D. 22

(a) If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} + 5x - 6 = 0\), find the equation whose roots are \((\alpha - 2)\) and \((\beta - 2)\).

(b) Given that \(\int_{0} ^{k} (x^{2} - 2x) \mathrm {d} x = 4\), find the values of k.

The points X, Y and Z are located such that Y is 15 km south of X, Z is 20 km from X on a bearing of 270".

Calculate, correct: (a) two significant figures, |YZ|

(b) The nearest degree, the bearing of Y from Z

If your daily newspaper costs N500 during the weekend and N300 on other days, how much do you spend weekly on newspapers?

• A. N2,500.00
• B. N3,000.00
• C. N3,500.00
• D. N4,000.00

Ayoola divided 50 naira among his three friends in the ratio of 1:2:2. How much will each take?

• a. 10:20:20
• b. 50:100:100
• c. 5:25:25
• d. 5:20:20

Evaluate \(\frac{(3.2)^2 - (4.8)^2}{3.2 + 4.8}\)

• A. -0.08
• B. -1.60
• C. -10.24
• D. -12.80

Find the value of x in the diagram

• A. 10°
• B. 28°
• C. 36°
• D. 40°

Find the point (x, y) on the Euclidean plane where the curve y = 2x² - 2x + 3 has 2 as gradient

• A. (1, 3)
• B. (2, 7)
• C. (0, 3)
• D. (3, 15)

A farmer sold 35 bags of rice at 25 % profit. If he sold each bag for ₦7500:00. How much was his profit on of the lot.

• A. ₦1,875:00
• B. ₦65,625:00
• C. ₦18,775:00
• D. ₦26,250:00

In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges, if one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

• A. \(\frac{17}{30}\)
• B. \(\frac{11}{30}\)
• C. \(\frac{6}{30}\)
• D. \(\frac{5}{30}\)