Further Mathematics questions and answers

Further Mathematics Questions and Answers

Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.

576.

Each of the 90 students in a class speak at least Igbo or Hausa. If 56 students speak Igbo and 50 speak Hausa, find the probability that a student selected at random from the class speaks Igbo only.

A.

\(\frac{28}{45}\)

B.

\(\frac{4}{9}\)

C.

\(\frac{8}{45}\)

D.

\(\frac{1}{9}\)

Correct answer is B

Let the number of candidates that speak both Igbo and Hausa = x

The number that speaks Igbo only = 56 - x

The number that speaks Hausa only = 50 - x

56 - x + x + 50 - x = 90

106 - x = 90

x = 16

P(Igbo only) = \(\frac{56 - 16}{90} = \frac{4}{9}\)

577.

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. \([g = 9.8ms^{-2}]\)

A.

750N

B.

745N

C.

735N

D.

98N

Correct answer is C

Net force = Upward force - weight

\(ma = F - mg\)

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

\(\therefore F = mg = 75 \times 9.8 = 735N\).

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. 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.

579.

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.

580.

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

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

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

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