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.

141.

The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.

Find the mean

A.

33.35

B.

35.54

C.

34.45

D.

36.44

Correct answer is C

\(\frac{12 + 47 + 49 + 15 + 43 + 41 + 13 + 39 + 43 + 41 + 36}{11}\)

= \(\frac{379}{11}\)

= 34.45

142.

The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.

Find the lower quartile

A.

12

B.

13

C.

15

D.

20

Correct answer is C

Rearranged: 12,13,15, 36, 39, 41, 41, 43, 43, 47 and 49

Lower quartile or First quartile = \(\frac{total number of items}{4}\)

If odd: items numbers + 1 → \(\frac{11 items + 1}{4}\)

= \(\frac{12}{4}\)

Lower quartile = 3rd iems →15

143.

Solve \(\frac{y+2}{4}\) - \(\frac{y-1}{3}\) > 1

A.

y < -10

B.

y < -2

C.

y < 2

D.

y < 10

Correct answer is B

multiply both sides by the LCM

12 x \(\frac{y+2}{4}\) -  12 x \(\frac{y-1}{3}\) >12 x 1

3[y+2] - 4[y-1] > 12

3y + 6 - 4y + 4 > 12

-y + 2 > 12

-y > 12 - 10 = 2

y < -2

144.

In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR

A.

39º

B.

80º

C.

110º

D.

141º

Correct answer is B

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. ∠M = ∠R + ∠N → 141 = 41 + ∠N ∠N = 141 - 41 = 100º ∠QNR = 180 - 100 → 80º

145.

Simplify \(\frac{2-18m^2}{1+3m}\)

A.

2[1+3m]

B.

2[1-3m]

C.

2[1-3m\(^2\)]

D.

2[1+3m\(^2\)]

Correct answer is B

\(\frac{2-18m^2}{1+3m}\) =  \(\frac{2[1-9m^2]}{1+3m}\)

\(\frac{2[1-3m][1+3m]}{1+3m}\)

2[1-3m]