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.

1,831.

Multiply (3x + 5y + 4z) by (2x - 3y + z)

A.

6x2 + xy - 15y2 + 4z2 + 11xz - 7yz

B.

6x2 + 3xy - 15y2 + 4z2

C.

6x2 + 3xy - y2 + 4z2

D.

6x2 + 3xy - 15y + z2

Correct answer is A

(3x + 5y + 4z)(2x - 3y + z)

6x2 + 9xy + 3x2 + 10xy - 15y2 + 5yz + 8xz - 12yz + 4z2

= 6x2 + xy - 15y2 + 4z2 + 11xz - 7yz

1,832.

A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is

A.

\(\frac{y(y - x)}{y - x}\) cedis

B.

\(\frac{Yy - Xx)}{y - x}\) cedis

C.

\(\frac{Y - Xy)}{y - x}\) cedis

D.

\(\frac{Y - X}{y - x}\) cedis

E.

\(\frac{Y - Xx}{y - x}\) cedis

Correct answer is E

The amount he has to spend per day for the rest of his stay is \(\frac{Y - Xx}{y - x}\) cedis

1,833.

The solution of the equation x2 - 2x = 8 is

A.

x = 0 or 2

B.

x = -2 or 4

C.

x = 2

D.

x = -4

E.

x = 2 or 4

Correct answer is B

x2 - 2x = 8 = 8

x2 - 2x - 8 = 0

(x2 - 4x) + (2x - 8) = 0

When x + 2 = 0

x = -2, when x - 4 = 0

x = 4

-2 or 4

1,834.

x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?

A.

\(\frac{5}{6}\)

B.

11

C.

3\(\frac{3}{5}\)

D.

2\(\frac{1}{2}\)

E.

1\(\frac{1}{5}\)

Correct answer is D

x \(\alpha\) y = x \(\alpha\) \(\frac{1}{z}\)

x \(\alpha\) \(\frac{1}{z}\)

x = k \(\frac{y}{z}\)

k = \(\frac{xz}{y}\) = \(\frac{9 \times 8}{24}\)

= 3

x = \(\frac{xz}{y}\)

= \(\frac{3 \times 5}{6}\)

= \(\frac{15}{6}\)

= \(\frac{5}{2}\)

= 2\(\frac{1}{2}\)

1,835.

The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was

A.

N5000

B.

N1800

C.

N12000

D.

N24000

E.

N8000

Correct answer is C

A : B = 3 : 5

Total ratio = 3 + 5 = 8

Let rept, the total profit, A receives \(\frac{3x}{8}\)

\(\frac{5x}{8}\) - \(\frac{3}{x}\) = 3000

\(\frac{5x}{8}\) - \(\frac{3x}{8}\) = 3000

= \(\frac{2x}{8}\)

= 3000

2x = 2400

x = 1200

N12,000