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WAEC Further Mathematics Past Questions & Answers - Page 116

576.

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. [g=9.8ms2]

A.

750N

B.

745N

C.

735N

D.

98N

Correct answer is C

Net force = Upward force - weight

ma=Fmg

With constant velocity, acceleration = 0, therefore, ma = 0

.

577.

Marks 0 1 2 3 4 5
Number of candidates 6 4 8 10 9

3

The table above shows the distribution of marks scored by students in a test. Find the interquartile range of the distribution.

A.

4

B.

3

C.

2

D.

1

Correct answer is B

No explanation has been provided for this answer.

578.

Marks 0 1 2 3 4 5
Number of candidates 6 4 8 10 9 3

The table above shows the distribution of marks scored by students in a test. How many candidates scored above the median score?

A.

3

B.

12

C.

22

D.

30

Correct answer is B

The total number of candidates = 40, therefore, the median occurs as the average between the 20th and 21st candidates. = \frac{3+3}{2} = 3

Number of candidates that scored above 3 : 9 + 3 = 12.

579.

Given that r = 2i - j, s = 3i + 5j and t = 6i - 2j, find the magnitude of 2r + s - t.

A.

\sqrt{15}

B.

4

C.

\sqrt{24}

D.

\sqrt{26}

Correct answer is D

r = 2i - j , s = 3i + 5j , t = 6i - 2j

2r + s - t = 2(2i - j) + (3i + 5j) - (6i - 2j) = i + 5j

|2r + s - t| = \sqrt{1^{2} + 5^{2}} = \sqrt{26}

580.

Given the statements:

p : the subject is difficult

q : I will do my best

Which of the following is equivalent to 'Although the subject is difficult, I will do my best'?

A.

p \vee q

B.

\sim p \vee q

C.

p \wedge (\sim q)

D.

p \wedge q

Correct answer is D

No explanation has been provided for this answer.