Year 9 Products and Factors

True/False

100

There are some wasps that make honey

True (The polistine/paper wasp is one such wasp)

200

The ‘black box’ in an aeroplane is black.

False – it is orange.

300

Kanye West and Kim Kardashian’s children are named North, Saint and Chicago.

True

400

The largest planet in our solar system is Neptune.

False

500

Hot water freezes faster than cold water.

True

Factorising Expressions

100

Factorise: 

24x+30

6(4x+5)

200

Factorise: 

75g^3h^2-125gh

25gh(3g^2h-5)

300

Factorise: 

-n-1

-1(n+1)

400

Factorise: 

5(2-3m)+2n(2-3m)

(5+2n)(2-3m)

500

Factorise: 

1/2p^2+1/4pq^-1/8pq^2r^3

1/2p(p+1/2q-1/4q^2r^3)

Expanding Binomials

100

Expand: 

(x+5)(x-11)

x^2-6x-55

200

Expand: 

(3t-1)(2t-5)

6t^2-17t+5

300

Expand: 

(3-4h)(2+5h)

6+7h-20h^2

400

Expand: 

2(3x+1)(x+4)

6x^2+26x+8

500

Expand: 

y(y+1)(y-2)

y^3-y^2-2y

Perfect Squares

100

Expand: 

(m-9)^2

m^2-18m+81

200

Expand: 

(7j+2k)^2

49j^2+28jk+4k^2

300

Expand: 

(8b-3c)^2

64b^2-48bc+9c^2

400

Expand: 

(pq+r)^2

p^2q^2+2pqr+r^2

500

Expand: 

(1+1/y)^2

1+2/y+1/y^2

Difference of Two Squares

100

Expand: 

(x+5)(x-5)

x^2-25

200

Expand: 

(2g+3h)(2g-3h)

4g^2-9h^2

300

Factorise: 

y^2-49

(y-7)(y+7)

400

Factorise: 

9-16b^2

(3-4b)(3+4b)

500

Factorise: 

20d^2-5a^2

5(2d-1)(2d+1)