Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q1) Complete the following square
\(x^2 + 16x-6\) = [ \({(x + 8 )}^2-70\) ]

Q1) Complete the following square
\(x^2 + 11x+9\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -21\(\frac{1}{4}\)]

Q2) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q2) Complete the following square
\(x^2 + 4x-5\) = [ \({(x + 2 )}^2-9\) ]

Q2) Complete the following square
\(x^2 + 11x-8\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -38\(\frac{1}{4}\)]

Q3) Complete the following square
\(x^2 + 8x\) = [ \((x + 4)^2 - 16\)]

Q3) Complete the following square
\(x^2 + 16x-9\) = [ \({(x + 8 )}^2-73\) ]

Q3) Complete the following square
\(x^2 + 13x-6\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -48\(\frac{1}{4}\)]

Q4) Complete the following square
\(x^2 -4x\) = [ \((x -2)^2 - 4\)]

Q4) Complete the following square
\(x^2 + 14x-4\) = [ \({(x + 7 )}^2-53\) ]

Q4) Complete the following square
\(x^2 + 15x-4\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -60\(\frac{1}{4}\)]

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

Q5) Complete the following square
\(x^2 + 4x+8\) = [ \({(x + 2 )}^2+ 4\) ]

Q5) Complete the following square
\(x^2 + 9x+9\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -11\(\frac{1}{4}\)]

Q6) Complete the following square
\(x^2 + 2x\) = [ \((x + 1)^2 - 1\)]

Q6) Complete the following square
\(x^2 + 18x+4\) = [ \({(x + 9 )}^2-77\) ]

Q6) Complete the following square
\(x^2 + 13x+6\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -36\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 + 6x\) = [ \((x + 3)^2 - 9\)]

Q7) Complete the following square
\(x^2 + 6x-5\) = [ \({(x + 3 )}^2-14\) ]

Q7) Complete the following square
\(x^2 + 9x+3\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -17\(\frac{1}{4}\)]

Q8) Complete the following square
\(x^2 -10x\) = [ \((x -5)^2 - 25\)]

Q8) Complete the following square
\(x^2 + 16x+4\) = [ \({(x + 8 )}^2-60\) ]

Q8) Complete the following square
\(x^2 + 11x+7\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -23\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 4x-7\) = [ \({(x + 2 )}^2-11\) ]

Q9) Complete the following square
\(x^2 + 13x+5\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -37\(\frac{1}{4}\)]

Q10) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q10) Complete the following square
\(x^2 + 12x-10\) = [ \({(x + 6 )}^2-46\) ]

Q10) Complete the following square
\(x^2 + 11x+10\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -20\(\frac{1}{4}\)]