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WAEC Further Mathematics Past Questions & Answers - Page 59

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}