Factorising (Edexcel IGCSE Maths): Exam Questions

Factorise fully $20x^{2}-5$

Factorise $x^{2}+3x-10$

Factorise $y^{2}-2y$

Factorise $y^{2}-16$

Factorise $2p^{2}-p-10$

Factorise $y^{2}-10y+16$

Factorise $n^{2}-7n$

Factorise $4x^{2}-9$

(i) Factorise $x^{2}-12x+27$

(ii) Solve the equation $x^{2}-12x+27=0$

Factorise $y^{2}-100$

Factorise $x^{2}+7x$

Factorise $a^{2}-b^{2}$

Hence, or otherwise, simplify fully $( x^{2} + 4 )^{2} - ( x^{2} - 2 )^{2}$

Factorise $y^{2}+7y+6$

Factorise $6+9x$

Factorise fully $15b^{5}c-35b^{3}c^{9}$

Factorise $x^{2}+3x-4$

Factorise $3e^{2}+5e$

Factorise fully $15y^{4}+20uy^{3}$

Factorise $x^{2}-49$

Factorise $3x+6$

Factorise fully $25a^{4}c^{7}d+45a^{9}c^{3}h$

Factorise fully $8a^{2}+12a$

Factorise $y^{2}-y-2$

Simplify $3a\times5b\times2c$

Factorise $3y+6$

Factorise fully $2e^{2}--18$

Factorise $e^{2}+e-12$

Factorise $y^{2}+27y$

Factorise $4c^{2}--9d^{2}$

Factorise fully $3xy^{2}-6xy$

Factorise fully $8p^{2}--2p$

Factorise $6y^{2}--y--5$

Factorise $6m-9$

Factorise fully $2x^{2}y+4xy^{2}$

Tenzin is given this question.

Here is his answer.

Explain why Tenzin’s answer is not correct.

Factorise fully $50g^{2}-18$

Factorise fully $12pq-18p$

Factorise $3x^{2}+11x--20$

Simplify fully $\frac{n^{7}\times n^{3}}{n^{6}}$

Expand and simplify $x ( x - 2 ) + 2 x ( x + 3 )$

Factorise $5y-15$

Factorise fully $18ab+27ab^{2}$

Factorise $3x^{2}+14x+8$

Factorise completely $8x^{2}+4xy$

Factorise completely $6y^{2}-9xy$

Factorise fully $9x^{2}-6xy$

Factorise $y^{2}-2y-35$

Factorise $x^{2}--11x+24$

Circle the factor of $x^{2}-5x$

Factorise $x^{2}--64$

Circle your answer.

Factorise fully $6y^{2}+15y$

Factorise fully $16a^{2}b^{3}+20a^{3}b$