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.

3,371.

In the diagram above, TR = TS and ∠TRS = 60o. Find the value of x

A.

30

B.

45

C.

60

D.

120

E.

150

Correct answer is C

∠TRS = ∠RST = 60o
∠PSR + ∠PQR = 180o, 120o + xo = 180o
x = 60o

3,372.

In the diagram above, O is the center of the circle and ∠POR = 126°. Find ∠PQR

A.

234o

B.

117o

C.

72o

D.

63o

E.

54o

Correct answer is B

Reflex < POR = 360° - 126° = 234°

\(\therefore\) < PQR = \(\frac{1}{2} \times 234°\)

= 117°

3,373.

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QRT

A.

48o

B.

45o

C.

37o

D.

32o

E.

30o

Correct answer is C

∠RQT = 180° - (95° + 48°) = 73°
∠OQR = 90° - 37° = 53°
∠QOR = 180° - (53° + 53°) = 74°
QSR = 74°/2 = 37°

3,374.

The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12\(\frac{1}{4}\)cm\(^2\), calculate the area of the segment
[Take π = 22/7]

A.

5/12cm2

B.

7/12cm2

C.

11/6cm2

D.

2 1/3cm2

E.

6 1/6cm2

Correct answer is B

Area of \(\Delta OXY\) = \(12\frac{1}{4} cm^2\)

Area of sector OXY = \(\frac{30}{360} \times \frac{22}{7} \times 7 \times 7\)

= \(\frac{77}{6} = 12\frac{5}{6} cm^2\)

Area of the shaded portion = \(12\frac{5}{6} - 12\frac{1}{4}\)

= \(\frac{7}{12} cm^2\)

3,375.

The area of a parallelogram is 513cm\(^2\) and the height is 19cm. Calculate the base.

A.

13.5cm

B.

25cm

C.

27cm

D.

54cm

E.

108cm

Correct answer is C

Area of parallelogram = base \(\times\) height.

\(513 = base \times 19 \implies base = \frac{513}{19}\)

= 27 cm