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
\(x^2 + 14x-3\) = [ \({(x + 7 )}^2-52\) ]

Q1) Complete the following square
\(x^2 + 15x-8\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -64\(\frac{1}{4}\)]

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

Q2) Complete the following square
\(x^2 + 14x-5\) = [ \({(x + 7 )}^2-54\) ]

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

Q3) Complete the following square
\(x^2 + 2x\) = [ \((x + 1)^2 - 1\)]

Q3) Complete the following square
\(x^2 + 4x-7\) = [ \({(x + 2 )}^2-11\) ]

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

Q4) Complete the following square
\(x^2 -6x\) = [ \((x -3)^2 - 9\)]

Q4) Complete the following square
\(x^2 + 20x-7\) = [ \({(x + 10 )}^2-107\) ]

Q4) Complete the following square
\(x^2 + 13x+9\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -33\(\frac{1}{4}\)]

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

Q5) Complete the following square
\(x^2 + 12x-8\) = [ \({(x + 6 )}^2-44\) ]

Q5) Complete the following square
\(x^2 + 11x-3\)= [ \((x + \) 5\(\frac{1}{2}\)\()^2\) -33\(\frac{1}{4}\)]

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

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

Q6) Complete the following square
\(x^2 + 13x+2\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -40\(\frac{1}{4}\)]

Q7) Complete the following square
\(x^2 -2x\) = [ \((x -1)^2 - 1\)]

Q7) Complete the following square
\(x^2 + 12x-2\) = [ \({(x + 6 )}^2-38\) ]

Q7) Complete the following square
\(x^2 + 15x-2\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -58\(\frac{1}{4}\)]

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

Q8) Complete the following square
\(x^2 + 8x+5\) = [ \({(x + 4 )}^2-11\) ]

Q8) Complete the following square
\(x^2 + 13x-7\)= [ \((x + \) 6\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)]

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

Q9) Complete the following square
\(x^2 + 10x+8\) = [ \({(x + 5 )}^2-17\) ]

Q9) Complete the following square
\(x^2 + 15x-10\)= [ \((x + \) 7\(\frac{1}{2}\)\()^2\) -66\(\frac{1}{4}\)]

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

Q10) Complete the following square
\(x^2 + 6x-10\) = [ \({(x + 3 )}^2-19\) ]

Q10) Complete the following square
\(x^2 + 17x-9\)= [ \((x + \) 8\(\frac{1}{2}\)\()^2\) -81\(\frac{1}{4}\)]