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.

3,506.

If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)

A.

{a,b,c,d}

B.

{a,b,c,d,e}

C.

{a,b,c,d,e,f}

D.

{a,b,c}

E.

Φ

Correct answer is B

A = {a, b, c};  B = {a, b, c, d, e}; C = {a, b, c, d, e, f}

(A \(\cup\) B) = {a, b, c, d, e}

(A \(\cup\) C) = {a, b, c, d, e, f}

(A \(\cup\) B) \(\cap\) (A \(\cup\) C) = {a, b, c, d, e}

3,507.

What percentage of the population are married? correct to one decimal place

A.

14.8%

B.

20.4%

C.

30.5%

D.

35.2%

E.

36.5%

Correct answer is D

Married = 550 + 400 = 950

Married% = \(\frac {950}{2700}\) x \(\frac {100}{1}\)

=35.2%

3,508.

What angle represents grown up girls ? Correct to one decimal place

A.

37.5o

B.

26.7o

C.

25.7o

D.

20o

E.

3.75o

Correct answer is B

Total population = 1400 + 550 + 200 + 150 + 400 = 2700

grown up girls = 200

= \(\frac {200}{2700}\) x \(\frac {360}{1}\)

=80/3 = 26.7°

3,509.

Solve the following equation: 6x\(^2\) - 7x - 5 = 0

A.

x = 1/2 or x = -21/2

B.

x = 1/3 or x = 21/2

C.

x = 1 2/3 or x = -1/2

D.

x = 12/3 or x = 1/2

E.

x = 5/6 or x = -1

Correct answer is C

6x\(^2\) - 7x - 5 = 0

6x\(^2\) - 10x + 3x - 5 = 0

2x(3x - 5) + 1(3x - 5) = 0

(2x + 1)(3x - 5) = 0

x = \(\frac{5}{3}\) or x = \(-\frac{1}{2}\)

3,510.

Calculate the surface area of a hallow cylinder which is closed at one end, if the base radius is 3.5cm and the height 8cm.[take π = 22/7]

A.

126.5cm2

B.

165cm2

C.

176cm2

D.

214.5cm2

E.

253.5cm2

Correct answer is D

since it is an open cylinder; r= 3.5cm = 7/2cm
h= 8cm;
S.A = 2πrh + πr 2

= πr(2h + r)
(16 + 3.5); 11 x 19.5 = 214.5cm2