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
\(x^2 + 14x-4\) = [ \({(x + 7 )}^2-53\) ]

Q1) Complete the following square
\(x^2 + 15x+7\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 16x-9\) = [ \({(x + 8 )}^2-73\) ]

Q2) Complete the following square
\(x^2 + 11x+3\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -27\(\frac{1}{4}\)]

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

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

Q3) Complete the following square
\(x^2 + 11x+9\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -21\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 6x+10\) = [ \({(x + 3 )}^2+ 1\) ]

Q4) Complete the following square
\(x^2 + 11x-8\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -38\(\frac{1}{4}\)]

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

Q5) Complete the following square
\(x^2 + 8x-5\) = [ \({(x + 4 )}^2-21\) ]

Q5) Complete the following square
\(x^2 + 19x-5\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -95\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 6x-7\) = [ \({(x + 3 )}^2-16\) ]

Q6) Complete the following square
\(x^2 + 11x-4\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -34\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 + 6x\) = [ \((x + 3)^2 - 9\)]

Q7) Complete the following square
\(x^2 + 20x+5\) = [ \({(x + 10 )}^2-95\) ]

Q7) Complete the following square
\(x^2 + 11x-10\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -40\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 14x+5\) = [ \({(x + 7 )}^2-44\) ]

Q8) Complete the following square
\(x^2 + 15x+4\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -52\(\frac{1}{4}\)]

Q9) Complete the following square
\(x^2 + 8x\) = [ \((x + 4)^2 - 16\)]

Q9) Complete the following square
\(x^2 + 18x+3\) = [ \({(x + 9 )}^2-78\) ]

Q9) Complete the following square
\(x^2 + 5x-10\)= [ \((x + \) 2\(\frac{1}{2}\)\()^2\) -16\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 12x+6\) = [ \({(x + 6 )}^2-30\) ]

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