Waec Further Mathematics Past Questions
Question 676
The line \(y = mx - 3\) is a tangent to the curve \(y = 1 - 3x + 2x^{3}\) at (1, 0). Find the value of the constant m.
- A. -4
- B. -1
- C. 3
- D. 4
Question 677
The polynomial \(2x^{3} + x^{2} - 3x + p\) has a remainder of 20 when divided by (x - 2). Find the value of constant p.
- A. 8
- B. 6
- C. -6
- D. -8
Question 678
Calculate, correct to two decimal places, the area enclosed by the line 3x - 5y + 4 = 0 and the axes.
- A. 0.50 square units
- B. 0.51 square units
- C. 0.53 square units
- D. 0.54 square units
Question 679
A binary operation * is defined on the set of real numbers, R, by
P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2
- A. \(\frac{13}{12}\)
- B. \(\frac{5}{12}\)
- C. -\(\frac{5}{12}\)
- D. \(\frac{-1}{2}\)
Question 680
A bag contains 8 red, 4 blue and 2 green identical balls. Two balls are drawn randomly from the bag without replacement. Find the probability that the balls drawn are red and blue.
- A. 12/91 B. C. D.
- B. 12/91
- C. 16/91
- D. 30/91
- E. 32/91