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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.

291.

Marks 2 3 4 5 6 7 8
No of students 5 7 9 6 3 6 4

The table above shows the distribution of marks by some candidates in a test. If a student is selected at random, what is the probability that she scored at least 6 marks?

A.

340

B.

14

C.

1340

D.

2740

Correct answer is C

No explanation has been provided for this answer.

292.

Marks 2 3 4 5 6 7 8
No of students 5 7 9 6 3 6 4

The table above shows the distribution of marks by some candidates in a test. Find, correct to one decimal place, the mean of the distribution.

A.

5.5

B.

5.3

C.

5.2

D.

4.7

Correct answer is D

Marks(x 2 3 4 5 6 7 8 Total
Frequency f 5 7 9 6 3 6 4 40
fx 10 21 36 30 18 42 32 189

Mean ˉx=fxf=18940

= 4.725

293.

Marks 2 3 4 5 6 7 8
No of students 5 7 9 6 3 6 4

The table above shows the distribution of marks by some candidates in a test. What is the median score?

A.

3.5

B.

4.0

C.

4.5

D.

5.0

Correct answer is B

No explanation has been provided for this answer.

294.

Two forces F_{1} = (10N, 020°) and F_{2} = (7N, 200°) act on a particle. Find the resultant force.

A.

(3 N, 020°)

B.

(3 N, 200°)

C.

(17 N, 020°)

D.

(17 N, 200°)

Correct answer is A

No explanation has been provided for this answer.

295.

The probability of Jide, Atu and Obu solving a given problem are \frac{1}{12}, \frac{1}{6} and \frac{1}{8} respectively. Calculate the probability that only one solves the problem.

A.

\frac{1}{576}

B.

\frac{55}{576}

C.

\frac{77}{576}

D.

\frac{167}{576}

Correct answer is D

P(Jide) = \frac{1}{12}; P(\text{not Jide}) = \frac{11}{12}

P(Atu) = \frac{1}{6}; P(\text{not Atu}) = \frac{5}{6}

P(Obu) = \frac{1}{8}; P(\text{not Obu}) = \frac{7}{8}

P(\text{only one of them}) = P(\text{Jide not Atu not Obu}) + P(\text{Atu not Jide not Obu}) + P(\text{Obu not Jide not Atu})

= (\frac{1}{12} \times \frac{5}{6} \times \frac{7}{8}) + (\frac{1}{6} \times \frac{11}{12} \times \frac{7}{8}) + (\frac{1}{8} \times \frac{11}{12} \times \frac{5}{6})

= \frac{35}{576} + \frac{77}{576} + \frac{55}{576}

= \frac{167}{576}