WAEC Further Mathematics Past Questions and Answers

Which of the following is a factor of P(x) = -x³ - 7x² - 11x + 4?

• A (x - 7)
• B (x + 7)
• C (x + 4)
• D (x + 5)

P(x) = x³ - x² + 6x + c, where c is a constant. Given that (x + 2) is a factor of P(x), find the value of c.

• A 23
• B 22
• C 24
• D 26

Given that log_2 16 = 4 and log_2 64 = 6, evaluate log_2 1024.

• A 34
• B 12
• C 10
• D 14

Simplify: √16 × √14

• A 4√14
• B 16√14
• C 5√14
• D √30

Express (-5x - 2) / [(x - 1)(x + 6)] in partial fractions.

• A -1/(x - 1) - 4/(x + 6)
• B 1/(x - 1) - 4/(x + 6)
• C -4/(x - 1) - 1/(x + 6)
• D -1/(x + 6) - 4/(x - 1)

If the cubic equation x³ + 6x² - 27x - 140 = 0 has roots -7, -4 and 5, find the sum of the roots.

• A 0
• B 134
• C -12
• D -6

Solve for x: log_2 x + log_2(x - 2) = log_2 1935

• A 2
• B 45
• C 1980
• D 88

Solve for x: log_5 x + log_5(x - 2) = log_5 48

• A 8
• B 2
• C 14
• D 56