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.

3,451.

Which triangle is equal in area to ΔVWZ

A.

ΔVXZ

B.

ΔVYZ

C.

ΔXYV

D.

ΔWYV

E.

ΔWYZ

Correct answer is B

Area of \(\Delta\) VYZ = Area of \(\Delta\) VWZ (same base and within same parallel)

3,452.

Which angle is equal to ∠VWZ?

A.

∠VXZ

B.

∠VYX

C.

∠XZW

D.

∠YXZ

E.

∠VYW

Correct answer is A

< VWZ = < VXZ (angles in the same segment)

3,453.

In the diagram above PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR

A.

5.12cm2

B.

9.60cm2

C.

10.24cm2

D.

20.48cm2

E.

40.96cm2

Correct answer is C

Area of a triangle = \(\frac{1}{2} \times b \times h\)

Area of \(\Delta\) SQR = \(\frac{1}{2} \times 6.4 \times 3.2\)

= 10.24 cm\(^2\)

3,454.

In the diagram above, WXYZ is a rhombus and ∠WYX = 20°. What is the value of ∠XZY

A.

20o

B.

30o

C.

45o

D.

60o

E.

70o

Correct answer is E

Diagonals bisect at 90°;  < YXZ = 90° - 20° = 70°

But ZY = XY (sides of a rhombus)

\(\therefore\) < XYZ = 70° (base angle of an isos. triangle)

3,455.

In the diagram above, |PQ| = |PR| = |RS| and ∠RPS = 32°. Find the value of ∠QPR

A.

72o

B.

64o

C.

52o

D.

32o

E.

26o

Correct answer is C

From the figure, < PSR = 32° (base angles of an isos. triangle)

\(\therefore\) < PRS = 180° - (32° + 32°) = 116° (sum of angles in a triangle)

< QRP = 180° - 116° = 64° (angle on a straight line)

< PQR = 64° (base angles of an isos. triangle)

< QPR = 180° - (64° + 64°) = 52°