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Maths Questions on Square, Cube, Square Root and Cube Root for Class 8


A student need to practice maths problems. Its helps in developing problem solving skills. The problems shall not be (i) too simple, (ii) too difficult or (iii) too many. Simple problems are boring, difficult problems discourages (at times), and too many problems don't leave time for fun.

I selected following problems on square, cube, square root, cube root for my son studying in class 8.

  1. Find the least square number (perfect square) which is exactly divisible by each of the numbers 8, 12, 15 and 20.
  2. The area of a square field is 60025 $m^2$. A man cycles along its boundary at 18 km/h. In how much time will he return to the starting point.
  3. Evaluate $\sqrt{2}$, $\sqrt{3}$ and $\sqrt{0.9}$ (each upto two decimal places).
  4. Find the length of each side of a square whose area is equal to the area of a rectangle of length 1.6 m and breadth 3.4 m.
  5. Find $\frac{\sqrt{80}}{\sqrt{405}}$.
  6. Evaluate cube root of (a) 1728 (b) $\frac{729}{1000}$ (c) $\frac{-27}{125}$.
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