Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 + 10x\) = [ \((x + 5)^2 - 25\)]

Q1) Complete the following square
\(x^2 + 6x-3\) = [ \({(x + 3 )}^2-12\) ]

Q1) Complete the following square
\(x^2 + 11x-2\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -32\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 10x-10\) = [ \({(x + 5 )}^2-35\) ]

Q2) Complete the following square
\(x^2 + 17x-8\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -80\(\frac{1}{4}\)]

Q3) Complete the following square
\(x^2 -8x\) = [ \((x -4)^2 - 16\)]

Q3) Complete the following square
\(x^2 + 6x-10\) = [ \({(x + 3 )}^2-19\) ]

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

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

Q4) Complete the following square
\(x^2 + 16x-5\) = [ \({(x + 8 )}^2-69\) ]

Q4) Complete the following square
\(x^2 + 9x+10\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -10\(\frac{1}{4}\)]

Q5) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q5) Complete the following square
\(x^2 + 18x-10\) = [ \({(x + 9 )}^2-91\) ]

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

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

Q6) Complete the following square
\(x^2 + 12x+7\) = [ \({(x + 6 )}^2-29\) ]

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

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

Q7) Complete the following square
\(x^2 + 12x-8\) = [ \({(x + 6 )}^2-44\) ]

Q7) Complete the following square
\(x^2 + 7x-8\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -20\(\frac{1}{4}\)]

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

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

Q8) Complete the following square
\(x^2 + 11x+10\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -20\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 8x-7\) = [ \({(x + 4 )}^2-23\) ]

Q9) Complete the following square
\(x^2 + 13x-5\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -47\(\frac{1}{4}\)]

Q10) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q10) Complete the following square
\(x^2 + 16x+10\) = [ \({(x + 8 )}^2-54\) ]

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