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.

1,561.

The graph shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the inter-quartile range?

A.

\(\frac{1}{2}(Q_3 - Q_1)\)

B.

Q3 - Q2

C.

Q3 - Q2

D.

Q3 - Q1

Correct answer is D

No explanation has been provided for this answer.

1,562.

The bar chart shows different colours of cars passing a particular point of a certain street in two minutes. What fraction of the cars is yellow

A.

\(\frac{1}{5}\)

B.

\(\frac{2}{25}\)

C.

\(\frac{4}{15}\)

D.

\(\frac{3}{25}\)

Correct answer is D

\(\begin{array}{c|c} \text{colour of cars} & \text{Number (frequency)} \\ \hline yellow & 3 \\white & 4\\ red & 8\\ green & 2\\ blue & 6\\ black & 2\\ \hline & 25 \\ \hline\end{array}\)

Thus, the fraction of the total numbers that are yellow is \(\frac{3}{25}\)

1,563.

Find the value of \(\theta\) in the diagram

A.

60o

B.

100o

C.

120o

D.

30o

Correct answer is C

Using cosine formula (t\(\sqrt{3}\))2 = t2 + t2 - 2t2 cos\(\theta\)

3t2 = 2t2 - 2t2 cos\(\theta\) = 2t2(1 - cos\(\theta\))

1 - cos\(\theta\) = \(\frac{3t^2}{2t^2}\) = \(\frac{3}{2}\)

cos = 1 - \(\frac{3}{2} = -\frac{1}{2}\)

\(\theta\) = cos-1(-\(\frac{1}{2}\)) = 120o and 240o

N.B 0 \(\geq\) \(\theta\) 360

1,564.

In the figure PQR a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, < SRQ is 75o and < QPT IS 25o. Calculate the value of < RST

A.

50o

B.

25o

C.

55o

D.

45o

Correct answer is C

< T = \(\frac{x}{1}\) = 25o (PQ = QT)

< SQR = 2(25o) = 50o (sum of interior angle)

< Q + < R + < S = 180o

50o + 75o + < S = 180o = 125o + < S = 180o

< S = 180o - 125o = 55o

1,565.

Triangle SPT is the solution of the linear inequalities

A.

2y - x - 2 \(\leq\) 0, y + 2x + 2 \(\geq\) 0, x \(\geq\) 0

B.

2y - x - 2 \(\geq\) 0, y + 2x + 2 \(\leq\) 0, -2 \(\geq\) x \(\geq\) -1

C.

-2 \(\geq\) x \(\geq\) 2, y \(\leq\) 0, y + 2x + 2 \(\geq\) 0, x \(\geq\) 0

D.

2y - x - 2 \(\geq\) 0, y + 2x + 2 \(\geq\) 0, y \(\leq\) 0, x \(\geq\) 0

Correct answer is C

No explanation has been provided for this answer.