JAMB Mathematics Past Questions & Answers - Page 89

441.

Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.

A.

{1, 3, 5, 7, 9, 11, 13, 15}

B.

{2, 3, 5, 7, 9, 11, 13}

C.

{1, 3, 5, 7, 9, 11, 13}

D.

{2, 3, 5, 7, 11, 15}

Correct answer is C

U = {1, 2, 3, 4, 5......14}
P = {2, 4, 6, 8, 10, 12, 14}
P' = {1, 3, 5, 7, 9, 11,13}

443.

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o.

A.

(12 + 4\(\pi\))cm

B.

(24 + 4\(\pi\))cm

C.

(12 + 6\(\pi\))cm

D.

(24 + 6\(\pi\))cm

Correct answer is B

Perimeter = 2r + \(\frac{\theta}{360}\) x 2\(\pi\)r
= 2(12) + \(\frac{60}{360}\) x 2 x \(\pi\) x 12
= (24 + 4\(\pi\))cm

444.

Factorize k2 - 2kp + p2.

A.

(k +p)2

B.

(k - p)2

C.

k2 + p2

D.

k2 - p2

Correct answer is B

k2 - 2kp + p2 = (k - p)2