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.

1,681.

In the diagram, if PS = SR and PQ||SQ, what is the size of PQR?

A.

25o

B.

50o

C.

55o

D.

65o

E.

75o

Correct answer is B

Explanation
< PQR + , PSR 180(Opposite angles in a Quadrilateral are supplementary)

< PQR + 130o = 180

< PQR = 180 - 130

1,682.

In the figure, PQR is a straight line. Find the values of x and y

A.

x = 22.5o, y = 33.75o

B.

x = 15o, y = 52.5o

C.

x = 22.5o, y = 45.0o

D.

x = 56.25o, y = 11.5o

Correct answer is A

\(\frac{3}{2}\)x + 3y + 45° = 180°

3x + 6y + 90° = 360°

3x + 6y = 270.......(i) x 2,

5x + y + y = 180°

5x + 2y = 180° ... (ii) x 6

6x + 12y = 540 ... (iii)

30x + 12y = 1080 ... (iv)

eqn(iv) - eqn(iii)

24x = 540

x = 22.5° and y = 33.75°

1,683.

The farm yield of four crops on a piece of land in Ondo are represented on the pie chart. what is the angle of the sector occupies by Okro in the chart?

A.

11o

B.

19\(\frac{1}{3}\)o

C.

33\(\frac{1}{3}\)o

D.

91\(\frac{1}{3}\)o

E.

91o

Correct answer is B

Adding the values of all the items together, it gives 70

Okro sector = \(\frac{145}{270}\) x \(\frac{360^o}{1}\)

= 19.33o

= 19\(\frac{1}{3}\)o

1,684.

PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50o with the tangent as shown in the figure. What is the size of QRS?

A.

50o

B.

40o

C.

110o

D.

80o

E.

100o

Correct answer is E

< SPQ = 80o

< SPQ + < SRQ = 180(Supplementary)

80 +
< QRS = 180o - 80o

= 100o

1,685.

If O is the centre of the circle in the figure, find the value of x

A.

50

B.

260

C.

100

D.

65

E.

130

Correct answer is C

From the diagram; The value of x = 360o - 2(130o)

= 360 - 260

= 100o