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
\(x^2 + 18x+10\) = [ \({(x + 9 )}^2-71\) ]

Q1) Complete the following square
\(x^2 + 9x-5\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -25\(\frac{1}{4}\)]

Q2) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q2) Complete the following square
\(x^2 + 14x+7\) = [ \({(x + 7 )}^2-42\) ]

Q2) Complete the following square
\(x^2 + 13x+5\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -37\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 10x+3\) = [ \({(x + 5 )}^2-22\) ]

Q3) Complete the following square
\(x^2 + 11x-9\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -39\(\frac{1}{4}\)]

Q4) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q4) Complete the following square
\(x^2 + 4x-9\) = [ \({(x + 2 )}^2-13\) ]

Q4) Complete the following square
\(x^2 + 9x-8\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -28\(\frac{1}{4}\)]

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

Q5) Complete the following square
\(x^2 + 6x-8\) = [ \({(x + 3 )}^2-17\) ]

Q5) Complete the following square
\(x^2 + 17x+5\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -67\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 16x+4\) = [ \({(x + 8 )}^2-60\) ]

Q6) Complete the following square
\(x^2 + 9x+3\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -17\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q7) Complete the following square
\(x^2 + 10x-3\) = [ \({(x + 5 )}^2-28\) ]

Q7) Complete the following square
\(x^2 + 13x+2\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -40\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 14x+10\) = [ \({(x + 7 )}^2-39\) ]

Q8) Complete the following square
\(x^2 + 17x+3\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -69\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 18x-3\) = [ \({(x + 9 )}^2-84\) ]

Q9) Complete the following square
\(x^2 + 7x+7\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -5\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 16x+3\) = [ \({(x + 8 )}^2-61\) ]

Q10) Complete the following square
\(x^2 + 17x+2\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -70\(\frac{1}{4}\)]