Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q1) Complete the following square
\(x^2 + 16x+8\) = [ \({(x + 8 )}^2-56\) ]

Q1) Complete the following square
\(x^2 + 7x-2\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -14\(\frac{1}{4}\)]

Q2) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q2) Complete the following square
\(x^2 + 12x+4\) = [ \({(x + 6 )}^2-32\) ]

Q2) Complete the following square
\(x^2 + 13x-8\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -50\(\frac{1}{4}\)]

Q3) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q3) Complete the following square
\(x^2 + 14x-4\) = [ \({(x + 7 )}^2-53\) ]

Q3) Complete the following square
\(x^2 + 13x+4\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -38\(\frac{1}{4}\)]

Q4) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

Q4) Complete the following square
\(x^2 + 14x-3\) = [ \({(x + 7 )}^2-52\) ]

Q4) Complete the following square
\(x^2 + 11x+8\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]

Q5) Complete the following square
\(x^2 + 4x\) = [ \((x + 2)^2 - 4\)]

Q5) Complete the following square
\(x^2 + 12x+7\) = [ \({(x + 6 )}^2-29\) ]

Q5) Complete the following square
\(x^2 + 19x+7\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -83\(\frac{1}{4}\)]

Q6) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q6) Complete the following square
\(x^2 + 12x-6\) = [ \({(x + 6 )}^2-42\) ]

Q6) Complete the following square
\(x^2 + 9x+4\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -16\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q7) Complete the following square
\(x^2 + 16x+2\) = [ \({(x + 8 )}^2-62\) ]

Q7) Complete the following square
\(x^2 + 17x+3\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -69\(\frac{1}{4}\)]

Q8) Complete the following square
\(x^2 + 6x\) = [ \((x + 3)^2 - 9\)]

Q8) Complete the following square
\(x^2 + 10x+4\) = [ \({(x + 5 )}^2-21\) ]

Q8) Complete the following square
\(x^2 + 9x-3\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -23\(\frac{1}{4}\)]

Q9) Complete the following square
\(x^2 -10x\) = [ \((x -5)^2 - 25\)]

Q9) Complete the following square
\(x^2 + 10x-4\) = [ \({(x + 5 )}^2-29\) ]

Q9) Complete the following square
\(x^2 + 11x+3\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -27\(\frac{1}{4}\)]

Q10) Complete the following square
\(x^2 + 6x\) = [ \((x + 3)^2 - 9\)]

Q10) Complete the following square
\(x^2 + 10x+3\) = [ \({(x + 5 )}^2-22\) ]

Q10) Complete the following square
\(x^2 + 7x-4\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -16\(\frac{1}{4}\)]