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.

1,621.

In the figure, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle < YZE = 150o. If the angle XYZ = \(\theta\), calculate the value of sin\(\theta\)

A.

\(\frac{3}{5}\)

B.

\(\frac{1}{2}\)

C.

\(\frac{2}{5}\)

D.

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

Correct answer is D

\(\frac{5}{\sin 36^o} = \frac{2}{\sin \theta} = \frac{5}{\frac{1}{2}} = \frac{2}{\sin \theta}\)

10 = \(\frac{2}{\sin \theta}\)

sin\(\theta\) = \(\frac{2}{10}\)

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

1,622.

Find the volume of the prism

A.

990cm3

B.

880cm3

C.

550cm3

D.

495cm3

Correct answer is D

No explanation has been provided for this answer.

1,623.

The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY

A.

\(\sqrt{630}\)cm

B.

\(\sqrt{626}\)cm

C.

\(\sqrt{615}\)cm

D.

\(\sqrt{600}\)cm

Correct answer is B

No explanation has been provided for this answer.

1,624.

The mean and the range of the set of numbers 1, 20, 1.00, 0.90, 1.40, 0.80, 1.20 and 1.10 are me and r

A.

1.11

B.

1.65

C.

1.85

D.

2.45

Correct answer is B

m = 1.05, r = 0.6 m + r = 1.05 + 0.5 = 1.65

1,625.

In the diagram, find PQ if the area of triangle PQR is 35cm\(^2\)

A.

7cm

B.

10cm

C.

14cm

D.

17cm

Correct answer is A

PQ x 10 sin 30 = 35

PQ = \(\frac{35}{10 \sin 30}\)

= 7cm