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.

1,696.

An (\(n - 2)^2\) sided figure has n diagonals. Find the number n diagonals for a 25-sided figure

A.

7

B.

8

C.

9

D.

10

Correct answer is A

(n-2)\(^2\)=25

n - 2 = 5

n = 5 + 2 = 7

1,697.

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = \(\theta\)oand RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct

A.

\(\theta\)o + \(\phi\)o = 902

B.

\(\phi\)o = 902 - 2\(\theta\)o

C.

\(\theta\)o = \(\phi\)o

D.

\(\phi\)o = 2\(\theta\)o

E.

\(\theta\)o + 2\(\phi\)o

Correct answer is E

180 - \(\phi\)o = \(\theta\)o + \(\phi\)o (Sum of opposite interior angle equal to its exterior angle)

180 = 2\(\phi\) + \(\theta\)o

1,698.

In the figure, GHIJKLMN is a cube of side a. Find the length of HN.

A.

\(\sqrt{3a}\)

B.

3a

C.

3a2

D.

a\(\sqrt{2}\)

E.

a\(\sqrt{3}\)

Correct answer is E

HJ2 = a2 + a2 = 2a2

HJ = \(\sqrt{2a^2} = a \sqrt{2}\)

HN2 = a2 + (a\(\sqrt{2}\))2 = a2 + 2a2 = 3a2

HN = \(\sqrt{3a^2}\)

= a\(\sqrt{3}\)cm

1,699.

In the figure POQ is the diameter of the circle PQR. If PSR = 145o, find xo

A.

25o

B.

35o

C.

45o

D.

125o

E.

55o

Correct answer is E

< PRQ = \(\frac{1}{2}\) < POQ = 90o

< PSR + < PQR = 180o

< PQR = 180o - 145o = 35o

\(\bigtriangleup\)PQR is a right angled triangle

x = 90 - < PQR

= 90o - 35o

= 55o

1,700.

In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86o and NQP = 122o find (xo, yo)

A.

28o, 36o

B.

36o, 28o

C.

43o, 61o

D.

61o, 43o

E.

36o, 43o

Correct answer is A

yo = 180o - (86o + 58o)

180 - 144 = 36o

xo = 180 - (94 + 58)

180 -152 = 28

(xo, yo) = (28o, 36o)