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
\(x^2 + 6x-10\) = [ \({(x + 3 )}^2-19\) ]

Q1) Complete the following square
\(x^2 + 15x-7\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -63\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 8x+7\) = [ \({(x + 4 )}^2-9\) ]

Q2) Complete the following square
\(x^2 + 13x-7\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 6x+4\) = [ \({(x + 3 )}^2-5\) ]

Q3) Complete the following square
\(x^2 + 13x+3\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -39\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 10x+4\) = [ \({(x + 5 )}^2-21\) ]

Q4) Complete the following square
\(x^2 + 13x-5\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -47\(\frac{1}{4}\)]

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

Q5) Complete the following square
\(x^2 + 8x-8\) = [ \({(x + 4 )}^2-24\) ]

Q5) Complete the following square
\(x^2 + 19x-6\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -96\(\frac{1}{4}\)]

Q6) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q6) Complete the following square
\(x^2 + 10x-7\) = [ \({(x + 5 )}^2-32\) ]

Q6) Complete the following square
\(x^2 + 15x-6\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -62\(\frac{1}{4}\)]

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

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

Q7) Complete the following square
\(x^2 + 11x+7\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -23\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 16x-2\) = [ \({(x + 8 )}^2-66\) ]

Q8) Complete the following square
\(x^2 + 3x+10\)= [ \((x + \) 1\(\frac{1}{2}\)\()^2\) + 7\(\frac{3}{4}\)]

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

Q9) Complete the following square
\(x^2 + 6x+2\) = [ \({(x + 3 )}^2-7\) ]

Q9) Complete the following square
\(x^2 + 17x-3\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -75\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 12x-6\) = [ \({(x + 6 )}^2-42\) ]

Q10) Complete the following square
\(x^2 + 17x-6\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -78\(\frac{1}{4}\)]