Waec Further Mathematics Past Questions and Answers

Question 531:

• WAEC 2012

A stone is dropped from a height of 45m. Find the time it takes to hit the ground. \([g = 10 ms^{-2}]\)

A. 3.0 seconds
B. 4.5 seconds
C. 5.0 seconds
D. 9.0 seconds

Question 532:

• WAEC 2012

Differentiate \(\frac{x}{x + 1}\) with respect to x.

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

Question 533:

• WAEC 2012

Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- component of their resultant.

A. \(5\sqrt{3} - 3\)
B. \(3 - 5\sqrt{3}\)
C. \(5 - 3\sqrt{3}\)
D. \(3\sqrt{3} - 5\)

Question 534:

• WAEC 2012

Find the unit vector in the direction of the vector \(-12i + 5j\).

A. \(\frac{-12i}{13} - \frac{5j}{13}\)
B. \(\frac{-1i}{13} + \frac{5j}{13}\)
C. \(\frac{-12i}{13} + \frac{5j}{13}\)
D. \(\frac{-5i}{13} + \frac{12j}{13}\)

Question 535:

• WAEC 2012

In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean

A. 19
B. 21
C. 23
D. 24