# Test: Factors I - Normal

Double click on maths expressions to zoom
Question 1:   Factorise using prime factors: $15=...$
$3×4$
$1×3×3$
$3×5$
$1×3×5$
Question 2:   Factorise using prime factors: $40=...$
$1×2×5$
$1×2×2×2×5$
$2×2×5$
$2×2×2×5$
Question 3:   Factorise: $9{x}^{2}-16=...$
$\left(3x-1\right)\left(3x+4\right)$
$\left(3x-1\right)\left(3x+1\right)$
$\left(x-4\right)\left(x+4\right)$
$\left(3x-4\right)\left(3x+4\right)$
Question 4:   Factorise: $6{x}^{2}+2{x}^{3}=...$
$2{x}^{2}\left(3+x\right)$
${x}^{2}\left(6+2x\right)$
${x}^{2}\left(3+x\right)$
$2x\left(3x+{x}^{2}\right)$
Question 5:   Factorise: ${x}^{2}-5x=...$
$x\left(x-5\right)$
${\left(x-5\right)}^{2}$
$\left(x-1\right)\left(x-5\right)$
$x$
Question 6:   Factorise: $4{x}^{2}-12x+9=...$
${\left(2x-3\right)}^{2}$
$\left(2x-3\right)\left(x-3\right)$
${\left(2x-5\right)}^{2}$
${\left(x-3\right)}^{2}$
Question 7:   Factorise: ${x}^{10}-{y}^{10}=...$
$\left({x}^{5}-{y}^{5}\right){x}^{5}$
${\left({x}^{5}-{y}^{5}\right)}^{2}$
$\left({x}^{2}-{y}^{2}\right)\left({x}^{2}+{y}^{2}\right)$
$\left({x}^{5}-{y}^{5}\right)\left({x}^{5}+{y}^{5}\right)$
Question 8:   Factorise: $5{x}^{2}-20=...$
$\left(x-2\right)\left(x+2\right)$
$5\left(x-2\right)\left(x+2\right)$
$5\left({x}^{2}-4\right)$
$5{\left(x-2\right)}^{2}$
Question 9:   Factorise: $27{x}^{3}-8{y}^{3}=...$
$\left(3x-2y\right)\left(9{x}^{2}+6xy+4{y}^{2}\right)$
$\left(3x-2y\right){\left(3x+2y\right)}^{2}$
$\left(3x-2y\right)\left(9{x}^{2}-6xy+4{y}^{2}\right)$
$\left(3x+2y\right)\left(9{x}^{2}-6xy+4{y}^{2}\right)$
Question 10:   Factorise: $16{x}^{2}+8xy+{y}^{2}=...$
${\left(4x-y\right)}^{2}$
$\left(4x+y\right)\left(x+y\right)$
${\left(4x+y\right)}^{2}$
$\left(4x+y\right)\left(4x-y\right)$