Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

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

Q1) Complete the following square
\(x^2 + 10x+8\) = [ \({(x + 5 )}^2-17\) ]

Q1) Complete the following square
\(x^2 + 11x+6\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -24\(\frac{1}{4}\)]

Q2) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q2) Complete the following square
\(x^2 + 14x-6\) = [ \({(x + 7 )}^2-55\) ]

Q2) Complete the following square
\(x^2 + 13x-6\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -48\(\frac{1}{4}\)]

Q3) Complete the following square
\(x^2 + 6x\) = [ \((x + 3)^2 - 9\)]

Q3) Complete the following square
\(x^2 + 14x-3\) = [ \({(x + 7 )}^2-52\) ]

Q3) Complete the following square
\(x^2 + 9x-2\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 12x+6\) = [ \({(x + 6 )}^2-30\) ]

Q4) Complete the following square
\(x^2 + 17x+9\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -63\(\frac{1}{4}\)]

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

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

Q5) Complete the following square
\(x^2 + 7x-9\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -21\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 14x+9\) = [ \({(x + 7 )}^2-40\) ]

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
\(x^2 + 14x+3\) = [ \({(x + 7 )}^2-46\) ]

Q7) Complete the following square
\(x^2 + 7x-10\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]

Q8) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q8) Complete the following square
\(x^2 + 8x-10\) = [ \({(x + 4 )}^2-26\) ]

Q8) Complete the following square
\(x^2 + 7x+5\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -7\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 6x+4\) = [ \({(x + 3 )}^2-5\) ]

Q9) Complete the following square
\(x^2 + 13x-2\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -44\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 12x+4\) = [ \({(x + 6 )}^2-32\) ]

Q10) Complete the following square
\(x^2 + 9x+5\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -15\(\frac{1}{4}\)]