In the diagram $\angle PSR={{22}^{{}^\circ }},\text{ }\angle SPQ={{58}^{{}^\circ }}$ and Calculate the obtuse angle QRS

Correct 0.002473 to 3 significant figures

Simplify $1\tfrac{1}{2}+2\tfrac{1}{3}\times \tfrac{3}{4}-\tfrac{1}{2}$

What is the value of m in the diagram?

A casting is made up of Copper and Zinc. If 65% of the casting is Zinc and there are 147g of Copper. What is the mass of the casting?

Given that $P=\{x:1\le x\le 6\}$ and $Q=\{x:2<x<10\}$ , where x is an integers. Find $n(P\cap Q)$

Given that $T=\{x:-2<x\le 9\}$ where x is an integer . What is n(T)

An empty rectangular tank is 250cm long and 120 cm wide. If 180 litres of water is poured into the tank, calculate the height of the water.

The table shows the number of pets kept by 30 students in a class. If a students is picked at random from the class . What is the probability that he/she kept more than one pet?

In the diagram, triangle HKL and HIJ are similar. Which of the following ratios is equal to $\frac{LH}{JH}$

Simplify $\frac{2}{2+x}+\frac{2}{2-x}$

Given that $\tan x=1$ where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ evaluate $\frac{1-{{\sin }^{2}}x}{\cos x}$

The sum of the exterior angles of an n – sided convex polygon is half the sum of its interior angles. Find n

If  $y=\frac{2\sqrt{{{x}^{2}}+m}}{3N}$ make x the subject of the formula

In the diagram, O is the centre of the circle, $\angle SQR={{60}^{{}^\circ }},\angle SPR=y$ and $\angle SOR=3x$ find the value of (x + y)

The shaded portion in the diagram is the solution

In the diagram GI is a tangent to the circle at H. If $EF\parallel GI$ calculate the size$\angle EHF$

In the diagram $\angle ROS={{66}^{\circ }}$and $\angle POQ=3x$ .Some construction lines are shown. Calculate the value of x