Given T = { even numbers from 1 to 12 }
N = {common factors of 6, 8 and 12}
Find T ∩ N

A. {2, 3}

B. {2, 3, 4}

C. {3, 4, 6}

D. {2}

What is the next number in the series 2, 1, \(\frac{1}{2}\), \(\frac{1}{4}\)...

A. \(\frac{1}{3}\)

B. \(\frac{2}{8}\)

C. \(\frac{3}{7}\)

D. \(\frac{1}{8}\)

If U = {x : x is an integer and 1 ≤ x ≤ 20 }
E1 = {x: x is a multiple of 3}
E2 = {x: x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2

A. \(\frac{3}{4}\)

B. \(\frac{3}{10}\)

C. \(\frac{1}{4}\)

D. \(\frac{1}{20}\)

The curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base
π = \(\frac{22}{7}\)

A. 2.6cm

B. 3.5cm

C. 3.6cm

D. 7.0cm

If two graphs Y = px² + q and y = 2x² − 1 intersect at x =2, find the value of p in terms of q

A. q − \(\frac{8}{7}\)

B. 7 − \(\frac{q}{4}\)

C. 8 − \(\frac{q}{2}\)

D. 7 + \(\frac{q}{8}\)

Evaluate (\(\sin\)45º + \(\sin\)30º ) in surd form

A. \(\frac{\sqrt{3}}{2\sqrt{2}}\)

B. √3 − \(\frac{1}{2}\)

C. \(\frac{1}{2}\)√2

D. 1 + \(\frac{\sqrt{2}}{2}\)

If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)

A. \(\frac{- \pi}{2}\)

B. -1

C. 1

D. \(\frac{ \pi}{2}\)

If temperature t is directly proportional to heat h, and when t = 20^oC, h = 50 J, find t when h = 60J

A. 24^oC

B. 20^oC

C. 34^oC

D. 30^oC

Evaluate 1 - (\(\frac{1}{5}\) x \(\frac{2}{3}\)) + ( 5 + \(\frac{2}{3}\))

A. 4

B. 3

C. 2\(\frac{2}{3}\)

D. \(\frac{98}{15}\)