The  radius of circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm

A farmer planted 5000 grains of maize and harvested 5000cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

Simplify $\frac{1}{\sqrt{3}+2}$

The shaded region in the venn diagram above is

Evaluate $\frac{\tfrac{1}{10}\times \tfrac{2}{3}+\tfrac{1}{4}}{\tfrac{1}{2}\div \tfrac{3}{5}-\tfrac{1}{4}}$

Given that $\sqrt[3]{{{4}^{2x}}}=16$ find the value of x

In a class of 40 students,each student offers at least one of physics and chemistry. If the number of students that offers physics is 3 times the number that offer both subject and the number that offer chemistry is twice the number that offer physics. Find the number of students that offers physics only

Find P , if 451₆ – P₇ =305₆

If $6{{\log }_{x}}2-3{{\log }_{x}}3=3{{\log }_{5}}0.2$, find x

Three teacher shared a packet of chalk. The first teacher got $\frac{2}{5}$of the chalk  and the second teacher received $\frac{2}{15}$of the remainder. What fraction did the third teacher received ?