Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 + 2x\) = [ \((x + 1)^2 - 1\)]

Q1) Complete the following square
\(x^2 + 16x-3\) = [ \({(x + 8 )}^2-67\) ]

Q1) Complete the following square
\(x^2 + 13x-9\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -51\(\frac{1}{4}\)]

Q2) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q2) Complete the following square
\(x^2 + 18x+7\) = [ \({(x + 9 )}^2-74\) ]

Q2) Complete the following square
\(x^2 + 13x-2\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -44\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 18x+2\) = [ \({(x + 9 )}^2-79\) ]

Q3) Complete the following square
\(x^2 + 7x+4\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -8\(\frac{1}{4}\)]

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

Q4) Complete the following square
\(x^2 + 6x+9\) = [ \({(x + 3 )}^2+0\) ]

Q4) Complete the following square
\(x^2 + 13x-4\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -46\(\frac{1}{4}\)]

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

Q5) Complete the following square
\(x^2 + 10x+4\) = [ \({(x + 5 )}^2-21\) ]

Q5) Complete the following square
\(x^2 + 9x-6\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -26\(\frac{1}{4}\)]

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

Q6) Complete the following square
\(x^2 + 4x-3\) = [ \({(x + 2 )}^2-7\) ]

Q6) Complete the following square
\(x^2 + 11x+8\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]

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

Q7) Complete the following square
\(x^2 + 10x-8\) = [ \({(x + 5 )}^2-33\) ]

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

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

Q8) Complete the following square
\(x^2 + 14x-5\) = [ \({(x + 7 )}^2-54\) ]

Q8) Complete the following square
\(x^2 + 11x+4\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -26\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 20x+10\) = [ \({(x + 10 )}^2-90\) ]

Q9) Complete the following square
\(x^2 + 3x-6\)= [ \((x + \) 1\(\frac{1}{2}\)\()^2\) -8\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 8x-9\) = [ \({(x + 4 )}^2-25\) ]

Q10) Complete the following square
\(x^2 + 9x+6\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -14\(\frac{1}{4}\)]