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
\(x^2 + 12x+5\) = [ \({(x + 6 )}^2-31\) ]

Q1) Complete the following square
\(x^2 + 11x+6\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -24\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 10x+8\) = [ \({(x + 5 )}^2-17\) ]

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

Q3) Complete the following square
\(x^2 + 2x\) = [ \((x + 1)^2 - 1\)]

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

Q3) Complete the following square
\(x^2 + 11x-2\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -32\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 14x-6\) = [ \({(x + 7 )}^2-55\) ]

Q4) Complete the following square
\(x^2 + 13x+5\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -37\(\frac{1}{4}\)]

Q5) Complete the following square
\(x^2 + 8x\) = [ \((x + 4)^2 - 16\)]

Q5) Complete the following square
\(x^2 + 10x+7\) = [ \({(x + 5 )}^2-18\) ]

Q5) Complete the following square
\(x^2 + 11x+10\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -20\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 18x-3\) = [ \({(x + 9 )}^2-84\) ]

Q6) Complete the following square
\(x^2 + 13x-5\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -47\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

Q7) Complete the following square
\(x^2 + 10x-2\) = [ \({(x + 5 )}^2-27\) ]

Q7) Complete the following square
\(x^2 + 13x-10\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -52\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 14x+2\) = [ \({(x + 7 )}^2-47\) ]

Q8) Complete the following square
\(x^2 + 11x-4\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -34\(\frac{1}{4}\)]

Q9) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

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

Q9) Complete the following square
\(x^2 + 9x+4\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -16\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 16x+6\) = [ \({(x + 8 )}^2-58\) ]

Q10) Complete the following square
\(x^2 + 11x+4\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -26\(\frac{1}{4}\)]