Form 1 Mathematics Chapter 3 Squares, Sq. Roots, Cube, Cb. Roots

1.     Ken wants to paste a photo with the length of 15.5 cm on a cardboard with an area of 289 cm². Both of the photo and cardboard are in the shape of square. Find the width of the photo frame so that the photo lies in the middle of the cardboard. (CL 1^st term 2020)

2.     Determine whether 324 is a perfect square. (CL 1^st term 2020)

3.     Evaluate (2²) + √(12/27) − 3² (CL 1^st term 2020)

4.     A piece of wire with a length of 100 cm is bent into the shape of a cube with a volume of 64 cm³. Find the length, in cm, of the remaining wire. (CL mid-term 2019)

5.    Given that ∛2 = 1.26 , find the value of ∛54 + ∛(8²) . Solve the question without using calculator. Show your working. (CL mid-term 2019)

6.    Given that √2.9 = 1.703 and √29 = 5.385, find the value of the following without using calculator. (CL mid-term 2018)

i)  √2900

6.    Given that √2.9 = 1.703 and √29 = 5.385, find the value of the following without using calculator. (CL mid-term 2018)

iI)  √0.029

7.     A copper wire of length 92 cm is bent into two squares of different sizes. One of the squares has an area of 64 cm². Find the area, in cm², of the other square. (CL mid-term 2018)

8.    i) Given that the value of √125 is between √p and √q , where p and q are perfect squares, find the value of p and q. (CL mid-term 2018)

ii) Find the value for the following without using calculator. (CL mid-term 2018)

√6 X √3 X √2