Factorize Easy
Expand Easy
Find the HCF
Expand Hard
Factorize Hard
100

Fully Factorise: 3x + 3y

3(x + y)

100

Expand and simplify 4(x − 1) + 3(2x + 5)

What is 10x + 11?

100

The HCF of 3xand 12x

What is 3x?

100

Fully Expand: (y - 4)(y + 7)

y2 + 3y - 28

100

Factorize 7w2 - 6x - wy

What is  w( 7w - 6 - wy)?

200

Fully Factorize 6x- 15x

What is 3x(2x - 5)?

200

Fully Expand: 3x(2x - 4)

6x2 - 12x

200

The HCF of 8ab2 and 10ab

What is 2ab?

200

Expand and Simplify 2(7y − 3x) − 8(x − 4y)

What is 46y - 14x?

200

Factorize 11g2h + 22h2

What is 11h(g2 + 2h)?

300

Fully Factorise: 6y - 24ya

6y(1 - 4a)

300

Fully Expand: (x + 3)(x + 2)

x2 + 5x + 6

300

The HCF of 6c2d and 24cd2

What is 6cd?

300

Fully Expand: (5y - 3j)(2j + 4y)

20y2 - 6j2 - 2jy

300

Explain why 8x + 3y cannot be factorized. 

There are no common factors between them.

400

Fully factorize 20a2c - 30ac = 5ac ( 4a2 - 6).

Spot the mistakes.

It should only be 4a and not 4a2

it should be 10ac(2a + 3) if fully factorized

400

Fully Expand: (a - 9)2

a2 - 18a + 81

400

The HCF of 14x3y and 56x2y2

What is 7x2y?

400

Fully Expand: (2a + 8)2 

What is 4a2 + 64 + 32a? 

400

Factorize -10w3z + 15w2z - 25wz2

What is 5wz( -2w+ 3wz - 5z)

500

Fully Factorise: 12xyz - 18xy

6xy(2z - 3)

500

Fully Expand: -2x(x + y - 3)

-2x2 - 2xy + 6x

500
The HCF of 18x3 , 3x2 and 6x

What is 2x?

500

Expand and simplify (m − 3)(2m + 3) 

  

What is 2m2 -3m - 9?

500

Factorize 4xy2 + 6xy + 2x2y

What is 2xy( 2y + 3 + x)?

500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500