Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 + 2x\) = [ \((x + 1)^2 - 1\)]

Q1) Complete the following square
\(x^2 + 4x+6\) = [ \({(x + 2 )}^2+ 2\) ]

Q1) Complete the following square
\(x^2 + 7x+9\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -3\(\frac{1}{4}\)]

Q2) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

Q2) Complete the following square
\(x^2 + 10x-9\) = [ \({(x + 5 )}^2-34\) ]

Q2) Complete the following square
\(x^2 + 9x+5\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -15\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 10x-10\) = [ \({(x + 5 )}^2-35\) ]

Q3) Complete the following square
\(x^2 + 19x+4\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -86\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 10x-4\) = [ \({(x + 5 )}^2-29\) ]

Q4) Complete the following square
\(x^2 + 13x+4\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -38\(\frac{1}{4}\)]

Q5) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q5) Complete the following square
\(x^2 + 8x-2\) = [ \({(x + 4 )}^2-18\) ]

Q5) Complete the following square
\(x^2 + 9x+2\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -18\(\frac{1}{4}\)]

Q6) Complete the following square
\(x^2 -10x\) = [ \((x -5)^2 - 25\)]

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

Q6) Complete the following square
\(x^2 + 11x+9\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -21\(\frac{1}{4}\)]

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

Q7) Complete the following square
\(x^2 + 8x-6\) = [ \({(x + 4 )}^2-22\) ]

Q7) Complete the following square
\(x^2 + 11x-7\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -37\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 8x-8\) = [ \({(x + 4 )}^2-24\) ]

Q8) Complete the following square
\(x^2 + 9x-2\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]

Q9) Complete the following square
\(x^2 + 6x\) = [ \((x + 3)^2 - 9\)]

Q9) Complete the following square
\(x^2 + 8x+7\) = [ \({(x + 4 )}^2-9\) ]

Q9) Complete the following square
\(x^2 + 15x+5\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -51\(\frac{1}{4}\)]

Q10) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q10) Complete the following square
\(x^2 + 14x+2\) = [ \({(x + 7 )}^2-47\) ]

Q10) Complete the following square
\(x^2 + 5x+3\)= [ \((x + \) 2\(\frac{1}{2}\)\()^2\) -3\(\frac{1}{4}\)]