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Calculate the mode of the following sizes of shoes sold by a shop on a particular day.
5, 9, 8, 6, 9, 4, 3, 9, 1, 6, 3, 9, 7, 1, 2, 5, 9
5, 9, 8, 6, 9, 4, 3, 9, 1, 6, 3, 9, 7, 1, 2, 5, 9
The volume of a right circular cone is $9856\ cm^3.$ If the diameter of the base is $28\ cm,$ Find:
Curved surface area of the cone.
→Curved surface area of the cone.
Find the volume of the right circular cone with the following dimensions:
Height is 21cm and slant height is 28cm.
Height is 21cm and slant height is 28cm.
Find a rational number between $\frac{3}{8}$ and $\frac{2}{5}$
→In a parallelogram ABCD, points M and N have been taken on opposite sides AB and CD respectively such that AM = CN. Show that AC and MN bisect each other.
A cylinder whose height is two thirds of its diameter has the same volume as a sphere of radius 4cm. Calculate the radius of the base of the cylinder.
Factorise:$1 + 2ab - (a^2 + b^2)$
→Simplify the expression $: (5 +\sqrt{5})(5 - \sqrt{5})$
→Factorize: $2(x + y)^2 - 9(x + y) - 5$
→Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$
$\frac{\sqrt{2}-1}{\sqrt5}$
→$\frac{\sqrt{2}-1}{\sqrt5}$