Mr Daniels Maths
Completing the Square

Set 1

Set 2

Set 3

Q1) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q1) Complete the following square
\(x^2 + 10x+10\) = [ \({(x + 5 )}^2-15\) ]

Q1) Complete the following square
\(x^2 + 7x+10\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -2\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 16x-8\) = [ \({(x + 8 )}^2-72\) ]

Q2) Complete the following square
\(x^2 + 19x-5\)= [ \((x + \) 9\(\frac{1}{2}\)\()^2\) -95\(\frac{1}{4}\)]

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

Q3) Complete the following square
\(x^2 + 4x-8\) = [ \({(x + 2 )}^2-12\) ]

Q3) Complete the following square
\(x^2 + 5x+10\)= [ \((x + \) 2\(\frac{1}{2}\)\()^2\) + 3\(\frac{3}{4}\)]

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

Q4) Complete the following square
\(x^2 + 12x-5\) = [ \({(x + 6 )}^2-41\) ]

Q4) Complete the following square
\(x^2 + 11x-10\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -40\(\frac{1}{4}\)]

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

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

Q5) Complete the following square
\(x^2 + 7x+8\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -4\(\frac{1}{4}\)]

Q6) Complete the following square
\(x^2 + 8x\) = [ \((x + 4)^2 - 16\)]

Q6) Complete the following square
\(x^2 + 16x+8\) = [ \({(x + 8 )}^2-56\) ]

Q6) Complete the following square
\(x^2 + 7x+4\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -8\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 -10x\) = [ \((x -5)^2 - 25\)]

Q7) Complete the following square
\(x^2 + 10x-5\) = [ \({(x + 5 )}^2-30\) ]

Q7) Complete the following square
\(x^2 + 13x-10\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -52\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 8x+2\) = [ \({(x + 4 )}^2-14\) ]

Q8) Complete the following square
\(x^2 + 7x-4\)= [ \((x + \) 3\(\frac{1}{2}\)\()^2\) -16\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 12x-2\) = [ \({(x + 6 )}^2-38\) ]

Q9) Complete the following square
\(x^2 + 5x-6\)= [ \((x + \) 2\(\frac{1}{2}\)\()^2\) -12\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 10x+9\) = [ \({(x + 5 )}^2-16\) ]

Q10) Complete the following square
\(x^2 + 9x-2\)= [ \((x + \) 4\(\frac{1}{2}\)\()^2\) -22\(\frac{1}{4}\)]