Mathematics Past Questions and Answers

PQRS is a trapezium in which |PS| = 9cm, |QR| = 15cm, |PQ| = \(2\sqrt{3}, \angle PQR = 90^o and \angle QRS = 30^o\). Calculate the area of the trapezium

A \(24\sqrt{3} cm^2\)
B \(36\sqrt{3} cm^2\)
C \(42\sqrt{3} cm^2\)
D \(72\sqrt{3} cm^2\)

Question 772:

The variance of a given distribution is 25. What is the standard deviation?

A 125
B 75
C 25
D 5

Question 773:

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

A {a,c}
B {a, c, d, g}
C {c, d, g}
D {a, c, g}

Question 774:

What is the length of \(\bar{RP}\)?

Question 775:

Given that \(\log_{10} 2 = 0.3010\) and \(\log_{10} 3 = 0.4771\), calculate without using mathematical tables or calculator, the value of :
(a) \(\log_{10} 54\) ;
(b) \(\log_{10} 0.24\).