(a) If A = {multiples of 2}, B = {multiples of 3} and C = {factors of 6} are subsets of \(\mu\) = {x: \(1 \leq x \leq 10\)} find A′ \(\cap\) B′ \(\cap\) C′ ...

(a) The diagram shows a wooden structure in the form of a cone, mounted on a hemispherical base. The vertical height of the cone is 48 m and the base radius ...

(a) Given that P = (\(\frac{rk}{Q} - ms\))\(^{\frac{2}{3}}\) (i) Make Q the subject of the relation; (ii) find, correct to two decimal places, the value of Q...

(a} In the diagram, O is the centre of the circle ABCDE, = I\(\overline{BC}\)I = |\(\overline{CD}\)| and < BCD = 108°. Find < CDE. (b) Given that tan x = \(\...

(a) Ms. Maureen spent \(\frac{1}{4}\) of her monthly income at a shopping mall, \(\frac{1}{3}\) at an open market and \(\frac{2}{5}\) of the remaining amount...

(a) Two cyclists X and Y leave town Q at the same time. Cyclist X travels at the rate of 5 km/h on a bearing of 049° and cyclist Y travels at the rate of 9 k...

A die was rolled a number of times. The outcomes are as shown in the table Number 1 2 3 4 5 6 Outcomes 32 m 25 40 28 45 If the probability of obtaining 2 is ...

The total surface area of a cone of slant height 1cm and base radius rcm is 224\(\pi\) cm\(^2\). If r : 1 = 2.5, find: (a) correct to one decimal place, the ...

(a) Copy and complete the table of values for the relation \(y = 3 \sin 2x\). x \(o^o\) \(15^o\) \(30^o\) \(45^o\) \(60^o\) \(75^o\) \(90^o\) \(105^o\) \(120...