KS3 Maths Quiz
Level 5-6 Numbers - Roots
How good are you at roots? That is, mathematical roots not tree roots!

Level 5-6 Numbers - Roots

In the study of Maths, a number multiplied by itself creates its own square. The original number is called the square root of the new number. Finding square and cube roots are useful calculations with the same priority as Index in the BIDMAS order.
  1. Which of these is not a way of writing the square root of 625?
    The square root of 125 is 11.18 to two decimal places.
  2. The square root of 425 lies between .......
    202 = 400; 212 = 441; √425 = 20.61552813.......
  3. The cube root of 216 is .......
    Since 162 = 256, 163 must be bigger and 263 or 363 will be bigger still, so 6 is the only sensible answer
  4. A square of area 169 cm2 has side length .......
    √169 = 13
  5. A cube of volume 1,000 cm3 has side length .......
    ∛1,000 = 10
  6. What is the square root of 54?
    To find the square root of a power number you divide the index by 2. √(54) = 52
  7. What is the square root of 64 x 144?
    The square root of a product is the product of the square roots.√64 x √144 = 8 x 12
  8. What is the cube root of 79?
    To find the cube root of a power number you divide the index by 3. ∛(79) = 73
  9. The square with the same area as a rectangle measuring 9 cm by 16 cm has side length .......
    9 x 16 = 144; √ 144 = 12
  10. What is the total surface area of a cube which has a volume of 729 cm3?
    ∛729 = 9 so each square face has an area of 81 cm2. A cube has six square faces; 6 x 81 = 486

Author: Frank Evans

Hi, we are delighted to see you - welcome to the proven way to learn and revise your curriculum subjects. Did you know that you can play every teacher-written quiz on our site for just £7.50 per month? join us here or read more about us here

Alternatively, in every section of the site you will find quizzes marked "Play" and these can all be played free of charge. We hope that you have fun and learn at the same time!

TJS - Web Design Lincolnshire

We use cookies to make your experience of our website better.

To comply with the new e-Privacy directive, we need to ask for your consent - I agree - No thanks - Find out more