Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 -10x\) = [ \((x -5)^2 - 25\)]

Q1) Complete the following square
\(x^2 + 20x-2\) = [ \({(x + 10 )}^2-102\) ]

Q1) Complete the following square
\(x^2 + 11x-9\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -39\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 12x+8\) = [ \({(x + 6 )}^2-28\) ]

Q2) Complete the following square
\(x^2 + 17x+9\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -63\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 14x-2\) = [ \({(x + 7 )}^2-51\) ]

Q3) Complete the following square
\(x^2 + 15x+6\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -50\(\frac{1}{4}\)]

Q4) Complete the following square
\(x^2 + 8x\) = [ \((x + 4)^2 - 16\)]

Q4) Complete the following square
\(x^2 + 12x-8\) = [ \({(x + 6 )}^2-44\) ]

Q4) Complete the following square
\(x^2 + 7x+2\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -10\(\frac{1}{4}\)]

Q5) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q5) Complete the following square
\(x^2 + 12x+6\) = [ \({(x + 6 )}^2-30\) ]

Q5) Complete the following square
\(x^2 + 11x+2\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -28\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 16x+5\) = [ \({(x + 8 )}^2-59\) ]

Q6) Complete the following square
\(x^2 + 11x-4\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -34\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 + 4x\) = [ \((x + 2)^2 - 4\)]

Q7) Complete the following square
\(x^2 + 10x-6\) = [ \({(x + 5 )}^2-31\) ]

Q7) Complete the following square
\(x^2 + 19x+5\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -85\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 10x+7\) = [ \({(x + 5 )}^2-18\) ]

Q8) Complete the following square
\(x^2 + 11x+3\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -27\(\frac{1}{4}\)]

Q9) Complete the following square
\(x^2 + 2x\) = [ \((x + 1)^2 - 1\)]

Q9) Complete the following square
\(x^2 + 12x-5\) = [ \({(x + 6 )}^2-41\) ]

Q9) Complete the following square
\(x^2 + 15x+10\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -46\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 14x+5\) = [ \({(x + 7 )}^2-44\) ]

Q10) Complete the following square
\(x^2 + 11x-3\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -33\(\frac{1}{4}\)]