Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

1,556.

The histogram above shows the ages of victims of a pollution. How many people were involved in the pollution?

A.

20

B.

21

C.

15

D.

18

Correct answer is A

\(\begin{array}{c|c} \text{Age in years} & 10 & 20 & 30 & 40 & 50 \\\hline \text{frequency} & 3 & 4 & 5 & 6 & 2\end{array}\)

\(\sum f \) = number of people involved in the pollution

\(\sum f\) = 3 + 4 + 5 + 6 + 2 = 20

1,557.

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40°. Find PSQ

A.

20o

B.

40o

C.

10o

D.

30o

Correct answer is B

PS = SR

\(\bigtriangleup\)PSR is an isosceles

< P = < SPQ = 40°

< R = < SRQ

< PSQ = < SRQ (alternate segment)

< PSQ = 40°

1,558.

Triangle OPQ is the solution of the inequalities

A.

x - 1 < 0, y + \(\geq\) 0, y - x \(\geq\) 0

B.

x + 1 \(\leq\) 0, y + x \(\geq\) 0, y - x \(\leq\) 0

C.

x - 1 \(\geq\) 0, y - x \(\geq\) 0, y + x \(\geq\) 0

D.

y + x \(\geq\) 0, y - x \(\leq\) 0

Correct answer is B

No explanation has been provided for this answer.

1,559.

Use the graph find the values of p and q if px + qy \(\geq\) 4

A.

p = 2, q = -1

B.

p = -1, q = 2

C.

p = 2, q = 2

D.

p = 1, q = 2

Correct answer is B

m = \(\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}\)

\(\frac{y_2 - y_1}{x_2 - x_1} \geq m\)

\(\frac{y - 0}{x + 4} \geq \frac{1}{2}\)

2y \(\geq\) x + 4, -x + 2y \(\geq\) 4 = px + qy \(\geq\) 4

p = -1, q = 2

1,560.

The histogram shows the distribution of passengers in taxis at a certain motor park. How many taxis have more than 4 passengers?

A.

17

B.

16

C.

15

D.

14

Correct answer is A

\(\begin{array}{c|c} \text{no. of passengers} & \text{Number of taxis}\\ \hline 0.5 - 2.5 & 3\\ 2.5 - 4.5 & 4 \\ 4.5 - 6.5 & 7\\ 6.5 - 8.5 & 5\\ 8.5 - 10.5 & 4 \\ 10.5 - 12.5 & 1\\ \hline \text{Total} & 24 \end{array}\)

Thus, the taxi with more than 4 passengers

= 7 + 5 + 4 + 1 = 17