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
\(x^2 + 8x-7\) = [ \({(x + 4 )}^2-23\) ]

Q1) Complete the following square
\(x^2 + 13x+2\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -40\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 6x+4\) = [ \({(x + 3 )}^2-5\) ]

Q2) Complete the following square
\(x^2 + 15x+7\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 12x-2\) = [ \({(x + 6 )}^2-38\) ]

Q3) Complete the following square
\(x^2 + 7x+9\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -3\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 6x+10\) = [ \({(x + 3 )}^2+ 1\) ]

Q4) Complete the following square
\(x^2 + 13x+3\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -39\(\frac{1}{4}\)]

Q5) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

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

Q5) Complete the following square
\(x^2 + 13x+4\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -38\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 16x-7\) = [ \({(x + 8 )}^2-71\) ]

Q6) Complete the following square
\(x^2 + 13x-7\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)]

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

Q7) Complete the following square
\(x^2 + 10x-7\) = [ \({(x + 5 )}^2-32\) ]

Q7) Complete the following square
\(x^2 + 11x+3\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -27\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 16x+8\) = [ \({(x + 8 )}^2-56\) ]

Q8) Complete the following square
\(x^2 + 9x+3\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -17\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 12x+2\) = [ \({(x + 6 )}^2-34\) ]

Q9) Complete the following square
\(x^2 + 13x-7\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 2x-6\) = [ \({(x + 1 )}^2-7\) ]

Q10) Complete the following square
\(x^2 + 9x-8\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -28\(\frac{1}{4}\)]