Further Mathematics 2016 Waec Past Questions and Answers

Question 1 :

• WAEC 2016

A ball falls from a height of 18m above the ground. Find the speed with which the ball hits the ground. \([g = 10ms^{-2}]\)

A. 9\(ms^{-1}\)
B. 9.49\(ms^{-1}\)
C. 13.42\(ms^{-1}\)
D. 18.97\(ms^{-1}\)

Question 2 :

• WAEC 2016

A man of mass 80kg stands in a lift. If the lift moves upwards with acceleration 0.5\(ms^{-2}\), calculate the reaction from the floor of the lift on the man. \([g = 10ms^{-2}]\)

A. 760N
B. 800N
C. 805N
D. 840N

Question 3 :

• WAEC 2016

A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find the y component of their resultant force.

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

Question 4 :

• WAEC 2016

A body of mass 10kg moving with a velocity of 5\(ms^{-1}\) collides with another body of mass 15kg moving in the same direction as the first with a velocity of 2\(ms^{-1}\). After collision, the two bodies move together with a common velocity v\(ms^{-1}\).

A. 3.2
B. 5.3
C. 7.0
D. 8.0

Question 5 :

• WAEC 2016

Find the unit vector in the direction of \(-2i + 5j\).

A. \(\frac{1}{\sqrt{29}}(2i + 5j)\)
B. \(\frac{1}{\sqrt{29}}(-2i + 5j)\)
C. \(\frac{1}{29}(2i - 5j)\)
D. \(\frac{1}{29}(-2i - 5j)\)