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.

266.

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

A.

240°

B.

150°

C.

60°

D.

270°

Correct answer is A

Sinθ = \(\frac{6}{12}\)

Sinθ = \(\frac{1}{2}\)

θ =  Sin\(^0.5\)
θ = 30°

Bearing of Z from X, (270 - 30)° = 240°

267.

List all integers satisfying the inequality in -2 < 2x-6 < 4 

A.

2,3,4 and 5

B.

2,3

C.

2,5

D.

3,4

Correct answer is D

-2 < 2x - 6 AND 2x - 6 < 4 -2 + 6 <2x AND 2x < 4 + 6 4 <2x AND 2x < 10 : 2

268.

Find x if log\(_9\)x = 1.5

A.

27

B.

15

C.

3.5

D.

32

Correct answer is A

If log\(_9\)x = 1.5,

9\(^{1.5}\) = x

9^\(\frac{3}{2}\) = x

(√9)\(^3\) = 3

∴ x = 27

269.

Factorize completely 81a\(^4\) - 16b\(^4\)

A.

(3a + 2b)(2a - 3b)(9a2 + 4b2)

B.

(3a - 2b)(2a - 3b)(4a2 - 9b2)

C.

(3a - 2b)(3a + 2b)(9a2 + 4b2)

D.

(6a - 2b)(8a - 3b)(4a3 - 9b2)

Correct answer is C

81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)

= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))

N:B 9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)

270.

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A.

e = 1

B.

e = -1

C.

e = -2

D.

e = 0

Correct answer is D

Identity(e) : a \(\ast\) e = a

m \(\ast\) e = m...(i)

m \(\ast\) e = me + m + e

Because m \(\ast\) e = m 

: m = me + m + e

m - m = e(m + 1)

e = \(\frac{0}{m + 1}\)

e = 0