Mathematics Past Questions and Answers

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

A \(\frac{(m^2 + n^2)}{m + n}\)
B \(\frac{(m^2 + n^2 + 2mn)}{4mn}\)
C \(\frac{2(m^2 + n^2 + mn)}{m + n}\)
D \(\frac{(m^2 + n^2 + mn)}{m + n}\)

Question 687:

The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?

A M246₇
B M242₇
C M236₇
D M341₇
E M338₇

Question 688:

Solve for x, If \(\frac{\frac{2}{x}}{\frac{p^2 + p^2}{p^2 + p^2}}\) = m

A \(\frac{4pq}{m(p + q)}\)
B \(\frac{2p^2q^2}{m(q^2 + p^2)}\)
C \(\frac{2pq}{m(q^2 + p^2)}\)
D \(\frac{2p^2q^2}{m(p^2)}\)

Question 689:

Express 37.05 x 0.0042 in standard form

A 15.561 x 10²
B 1.5561 x 10^-4
C 1.556 x 10^-1
D 1.5561 x 10¹
E 1.55 x 10¹

Question 690:

Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\)

A 1, -2
B -1, 2
C 2, 3
D -1. -2
E -2, -3