Simplify $\frac{1\tfrac{1}{3}+\tfrac{1}{2}\text{ of }6}{\tfrac{1}{3}\times 15\div \tfrac{5}{3}}$

Find the radius of a sphere whose surface area is 154 cm²  [Take $\pi =\tfrac{22}{7}$]

A chord is drawn 5cm away from the centre of a circle of radius is 13cm. Calculate the length of the chord.

A cylindrical tank has a capacity of 6160m³. What is the depth of the tank, if the radius of its base is 28m? [Take $\pi =\tfrac{22}{7}$]

The perpendicular bisector of a line XY is the locus of a point.

A solid metal of side 3 cm is placed I a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank hold?

If 321₄ is divided by 23₄ and leaves a remainder r, what is the value of r ?

If 2q3₅ = 77₈, find q

Find the gradient of a line which is perpendicular to the line with the equation $3x+2y+1=0$

The locus of a point equidistant from two point P(6,2) and R (4,2) is perpendicular bisector of PR passing through