Expanding brackets
DOPS
Factorise
Factorising using DOPS
Factorise by grouping in pairs
Bonus Questions
100

(x+4)(x-8)

x2-4x-32

100

a2-b2 factorised is...

(a+b)(a-b)

100

4x + 20

4(x + 5)

100

x2-9

x2-32

(x+3)(x-3)

100

x2+2x+3x+6

x(x + 2) + 3(x + 2)

(x+2)(x+3)

100

What is the world's largest land mammal?

Elephant

200

(2m + 8)(4m-3)

8m2-6m+32m-24

8m2-26m-24

200
Expand the following:


(x-4)2

x2-8x+16

200

6a + 18

6(a + 3)

200

25a2-b2

(5a)2-b2

(5a+b)(5a-b)

200

Factorise  

2x2−9−18x+x

x(2x + 1) − 9(2x + 1)

(2x + 1)(x − 9)

200

In which year and city were the first modern Olympic Games held? 

1896, Athens

300

2a(3a - 6) + 3a

= 6a- 12a + 3a

= 6a2 - 9a

300

Expand the following:


(2x-9)2

4x2-18x-18x+81

4x2-36x+81

300

4(x+3)+x(x+3)

(x+3)(4+x)

300

2b2-128

2(b2-64)

2(b2-82)

2(b+8)(b-8)

300

x2−3x−3xc+9c

x(x-3)-3c(x-3)

(x-3)(x-3c)

300

What is the name of Rapunzel's chameleon?

Pascal

400

(2x + 3)(x + 5)

= 2x2 + 10x + 3x + 15

= 2x2 + 13x + 15

400

(5x-3y)(5x+3y)

(5x)2-(3y)2

or 

25x2-9y2

400

6ab-10a2b+8ab2

2ab(3-5a+4b)

400

(x+2)2-9

(x+2)2-32

(x+2+3)(x+2-3)

(x+5)(x-1)

400

2x2−7−14x+x

2x2+x-14x-7

x(2x+1)-7(2x+1)

(2x+1)(x-7)

400

What is the highest-grossing film of all time?

Avatar (2009)

500

What are the missing terms in this expression?

(x+2)(____+_____)=7x2+____+6

(7x+3)

answer missing: 17x

500

(6x-11y)(6x+11y)

(6x)2-(11y)2

or

36x2-121y2

500

If a rectangle has a length of 2x and a width of 4, what is its perimeter in factorised form?

2x+4+2x+4

4x+8

4(x+2)

500

(x + 8)2-81

(x+8)2-92

(x+8+9)(x+8-9)

(x+17)(x-1)

500

2(a-3)-x(a-3)-c(a-3)

(a-3)(2-x-c)

500

Which country was the first to grant women the right to vote?

New Zealand in 1893

M
e
n
u