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.

231.

find the first quartile of 7,8,7,9,11,8,7,9,6 and 8.

A.

8.5

B.

7.0

C.

7.5

D.

8.0

Correct answer is B

Rearrange data in increasing order: 6,7,7,7,8,8,8,9,9 and 11

First quartile (ungrouped data) = \(\frac{n}{4}\)th value

= \(\frac{10}{4}\) 

= 2.5th value

= \(\frac{7 + 7}{2}\)

= 7.0

232.

In the diagram, \(\overline{MP}\) is a tangent to the circle NQR, ∠NQR, ∠PNQ = 64 and | \(\overline{RQ}\) | = | \(\overline{RN}\) |. Find the angle market t. 

A.

130°

B.

115°

C.

58°

D.

68°

Correct answer is C

Alternate segments are equal : R° = 64°

An isosceles triangle has two angles ( Q° & N° ) equal as A°

R° + A° + A° = 180°

2A°= 180 - 64

2A° = 116°

A = \(\frac{116}{2}\)

A = 58.

: Q° = 58, N° = 58 and T° = 58 

As Alternate segments are equal: T = Q

233.

find the value of (x+y)

A.

215°

B.

70°

C.

135°

D.

145°

Correct answer is A

sum of angle in a straight line = 180°

35 + m = 180

m = 180 - 35 = 145°

Corresponding angles are congruent i.e equal to each other

Angle X and M are congruent = 145

sum of angle in a straight line = 180°

110 + n = 180

m = 180 - 110 = 70°

Angle Y and N are congruent = 70°

∴∴ ( x + y) = ( 145 + 70)°

(x + y) = 215°

234.

Find, correct to two decimal, the mean of 1\(\frac{1}{2}\), 2\(\frac{2}{3}\), 3\(\frac{3}{4}\), 4\(\frac{4}{5}\), and 5\(\frac{5}{6}\).

A.

3.71

B.

3.70

C.

3.69

D.

3.72

Correct answer is A

The mean = sum of 1\(\frac{1}{2}\), 2\(\frac{2}{3}\), 3\(\frac{3}{4}\), 4\(\frac{4}{5}\), and 5\(\frac{5}{6}\) divided by their quantity.

Mean = ( 1\(\frac{1}{2}\) + 2\(\frac{2}{3}\) + 3\(\frac{3}{4}\) + 4\(\frac{4}{5}\) + and 5\(\frac{5}{6}\) ) / 5

= 3.708 or 3.71( 2 d.p ) 

235.

A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. calculate the area of the region not covered by the trapezium.

π =\(\frac{22}{7}\) 

A.

84cm\(^2\)

B.

80cm\(^2\)

C.

30cm\(^2\)

D.

94cm\(^2\)

Correct answer is B

Area of circle = πr\(^2\) = \(\frac{22}{7}\) * 7\(^2\) = 154cm\(^2\)

Area o Trapezium = \(\frac{(a + b) h}{2}\) = \(\frac{(10 + 21)8}{2}\) = 124cm\(^2\)

 

Area of the region not covered = Area of (Circle - Trapezium)

= 154 - 124 

= 30cm\(^2\)