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.

1,566.

The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?

A.

N42,000

B.

N18,000

C.

N16,000

D.

N12,000

Correct answer is C

Angle of sector subtended by yam

= 360o - (70 + 80 + 50)o

= 360o - 200o

= 160o

But \(\frac{80^o}{360^o}\) x T = 8000

T = \(\frac{8000 \times 360^o}{80^o}\)

= N36,000

Hence the amount spent on yam = \(\frac{160^o}{260} \times N36,000\)

= N16,000

1,567.

in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

A.

y = x + 5

B.

y = -x + 5

C.

y = x - 5

D.

y = -x - 5

Correct answer is B

(x1, y1) = (0,5)

(x2, y2) = (5, 0)

Using \(\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}\)

\(\frac{y - 5}{0 - 5} = \frac{x - 0}{5 - 0}\)

\(\frac{y - 5}{-5} = \frac{x}{5}\)

5(y - 5) = -5x

y - 5 = -x

x + y = 5

y = -x + 5

1,568.

Find the value of x in the figure above

A.

20\(\sqrt{3}\)cm

B.

10\(\sqrt{3}\)cm

C.

5\(\sqrt{3}\)cm

D.

4\(\sqrt{3}\)cm

Correct answer is B

In the figure above, \(\frac{x}{\sin 60^o} = \frac{10}{\sin 30^o}\) (Sine rule)

x = \(\frac{10 \sin 60^o}{\sin 30^o}\)

= 10 x \(\frac{\sqrt{3}}{2} \times \frac{1}{2}\)

= 10 x \(\frac{\sqrt{3}}{2} \times \frac{2}{1}\)

= 10\(\sqrt{3}\)cm

1,569.

From the figure above, what is the value of p?

A.

135o

B.

90o

C.

60o

D.

45o

Correct answer is B

In the figure above, qo = 30o (vertically opposite angles)

(P + 2q)o + 30o = 180o(angles on a straight line)

p + 2 x 30o + 30o = 180o

p + 60o + 30o = 180o

p + 90o = 180o

p = 180o - 90o

= 90o

1,570.

In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35o, calculate the size of angle KMN.

A.

91o

B.

89o

C.

37o

D.

19o

Correct answer is C

In the diagram above, \(\alpha\) = 54o(alternate angles; KL||MN) < KNM = 2\(\alpha\) (LN is bisector of < KNM) = 108o

35o + < KMN + 108o = 180o(sum of angles of \(\bigtriangleup\))

< KMN + 143o = 180o

< KMN = 180o - 143o

= 37o