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.

3,686.

Find the size of each exterior angle of a regular octagon

A.

51o

B.

45o

C.

40o

D.

36o

Correct answer is B

Each Exterior ∠ = 360/n
= 360/8
= 45o

3,687.

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

A.

-3

B.

-1

C.

-4

D.

-2

Correct answer is A

(1-k+2) / 2 = - k and -4 + k + 1 = k
3-k = -2k and -3 + k = 2k
K = -3 and k = -3

3,688.

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

A.

y - 2 = 0

B.

y - 4 = 0

C.

y - 1 = 0

D.

y - 3 = 0

Correct answer is B

No explanation has been provided for this answer.

3,689.

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30o. Determine the height of the tower.

A.

\(\frac{40\sqrt{3}}{3}m\)

B.

20 m

C.

40√3 m

D.

40 m

Correct answer is A

No explanation has been provided for this answer.

3,690.

If the lines 2y - kx + 2 = 0 and y + x - k/2 = 0 Intersect at (1, -2), find the value of k

A.

-4

B.

-3

C.

-2

D.

-1

Correct answer is C

If the point of intersection is (1, -2), it implies that x = 1 and y = -2 when the two equation are solved simultaneously.
∴ substitute x = 1 and y = -2 in any of the equations
2y - k x + 2 = 0
2(-2) - k(1) + 2 = 0
-4 - k + 2 = 0
-4 + 2 = k
-2 = k


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