The roots of a quadratic equation are $-\frac{1}{2}$ and $\frac{2}{3}$ . Find the equation

The diagonal of a square is 60cm. Calculate its perimeter.

Find the 6^th term of the sequence: \[\frac{2}{3},\frac{7}{15},\frac{4}{15},\cdot \cdot \cdot \]

Simplify the expression $\frac{{{a}^{2}}{{b}^{4}}-{{b}^{2}}{{a}^{4}}}{ab(a+b)}$

In the diagram $NQ\parallel TS$ ,$\angle RTS={{50}^{\circ }}$ and $\angle PRT={{100}^{\circ }}$ Find the value of $\angle NPR$

Three exterior angles of a polygon are 30^o, 40^o and 60^o . If the remaining exterior angles are 46^o each. Name the polygon.

Simplify $\sqrt{2}\left( \sqrt{6}+2\sqrt{2} \right)-2\sqrt{3}$

In what number base was the addition 1+ nn = 100 , where n > 0 done?

In a class of 45 students, 28 students offers Chemistry and 25 offers Biology. If each students offers at least one of the two subjects. Calculate the probability that a student selected at random from the class offers Chemistry only.

The table gives the distribution of marks obtained by a number of pupils in a class test.