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.

3,841.

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90o is

A.

a circle

B.

a semicircle

C.

an arc of a circle through X, Y

D.

the perpendicular bisector of XY

Correct answer is B

No explanation has been provided for this answer.

3,842.

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides

A.

3

B.

4

C.

6

D.

7

Correct answer is A

Area of Trapezium = 1/2(sum of parralel sides) * ht
21 = 1/2(5 + 9)h
42 = 14h
h = 42/14
h = 3cm

3,843.

The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

A.

6

B.

7

C.

8

D.

9

Correct answer is D

\(S_n = 252, a = -16\hspace{1mm}and\hspace{1mm}l = 72\\S_n = \frac{n}{2}(-16+72)\\252 = \frac{n}{2}(-16+72)\\n=\frac{504}{56}\\n=9\)

3,844.

Factorize completely 4abx - 2axy -12b2x + 6bxy

A.

2x(a - 3b)(2b - y)

B.

2x(3b - a)(2b - y)

C.

2x(a - 3b)(y - 2b)

D.

2x(2b - a)(3b - y)

Correct answer is A

4abx - 2axy - 12b2x + 6bxy = (4abx - 2axy) - (12b2x - 6bxy)
= 2ax(2b - y) -6bx(2b - y)
= (2ax - 6bx)(2b - y)
= 2x(a - 3b)(2b - y)

3,845.

Triangle OPQ above is the solution of the inequalities

A.

x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

B.

y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0

C.

x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0

D.

x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0

Correct answer is A

Lines bounding Δ OPQ
OQ; y - x = 0
y - x ≥ 0
PQ; x + 1 = 0
x + 1 ≥ = 0
PO; y + x = 0
y + x ≤ 0
∴ x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0