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)?

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