Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 + 8x\) = [ \((x + 4)^2 - 16\)]

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

Q1) Complete the following square
\(x^2 + 5x-6\)= [ \((x + \) 2\(\frac{1}{2}\)\()^2\) -12\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 18x-3\) = [ \({(x + 9 )}^2-84\) ]

Q2) Complete the following square
\(x^2 + 9x+3\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -17\(\frac{1}{4}\)]

Q3) Complete the following square
\(x^2 -10x\) = [ \((x -5)^2 - 25\)]

Q3) Complete the following square
\(x^2 + 10x-4\) = [ \({(x + 5 )}^2-29\) ]

Q3) Complete the following square
\(x^2 + 9x+6\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -14\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 6x-9\) = [ \({(x + 3 )}^2-18\) ]

Q4) Complete the following square
\(x^2 + 11x-2\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -32\(\frac{1}{4}\)]

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

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

Q5) Complete the following square
\(x^2 + 9x-3\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -23\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 12x-10\) = [ \({(x + 6 )}^2-46\) ]

Q6) Complete the following square
\(x^2 + 13x-2\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -44\(\frac{1}{4}\)]

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

Q7) Complete the following square
\(x^2 + 12x-10\) = [ \({(x + 6 )}^2-46\) ]

Q7) Complete the following square
\(x^2 + 17x-6\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -78\(\frac{1}{4}\)]

Q8) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

Q8) Complete the following square
\(x^2 + 14x-9\) = [ \({(x + 7 )}^2-58\) ]

Q8) Complete the following square
\(x^2 + 7x-6\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -18\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 14x+10\) = [ \({(x + 7 )}^2-39\) ]

Q9) Complete the following square
\(x^2 + 19x-6\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -96\(\frac{1}{4}\)]

Q10) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

Q10) Complete the following square
\(x^2 + 8x-8\) = [ \({(x + 4 )}^2-24\) ]

Q10) Complete the following square
\(x^2 + 7x-10\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]