4A Factorisation using common factors
15A Grouping
15B Factorising the general Quadratic
15C Simplifying Algebraic Fractions
Random (but challenging?)
100

Factorise: 

6x+24

6(x+4)

100

Factorise: 

x(x+2)+5(x+2)

(x+2)(x+5)

100

Factorise: 

x^2+7x+12

(x+4)(x+3)

100

Simplify:

(n-m)/(m-n)

-1

100

Multiply  -8ab^2 and  (11a^3b-7a^3b^3-9a^2b^4) .

56a^4b^5+72a^3b^6-88a^4b^3

200

Factorise: 

x^2-14x+24

(x-12)(x-2)

200

Factorise: 

3x(5-2x)+5(5-2x)

(3x+5)(5-2x)

200

Factorise: 

2x^2+11x+5

(x+5)(2x+1)

200

Simplify: 

(12p^2-27q^2)/(6p^2-9pq)

(2p+3q)/p

200

What is the mean of the first 6 natural numbers (counting numbers)?

3.5

300

Factorise using the appropriate perfect square identity:

x^2+13x+169/4

(x+13/2)^2

300

Factorise: 

mx+3m+2x+6

(m+2)(x+3)

300

Factorise: 

3x^2-14x+8

(3x-2)(x-4)

300

Simplify: 

(x^2-4)/(x^2-3x-10)

(x-2)/(x-5)

300

What is the value of the expression  (r-q)^3  if p=5, q=4, and r= -2

-216

400

Factorise: 

(x+2)^2-4

(x+6)(x+2)

400

Evaluate: 

6x^2-4xy+3xy-2y^2

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

400

Factorise: 

10x^2-7x+1

(5x-1)(2x-1)

400

Simplify: 

(4x^2-1)/(4x-2)

(2x+1)/2

400

Bill had $25, but after buying seven pies, he was left with $8.20. 

What was the price of each pie?

Each pie costs $2.40.

500

Factorise: 

2x^2-18x+36

2(x-3)(x-6)

500

Factorise: 

2x^2-2x+x-1

(2x+1)(x-1)

500

How many brothers does Miss Beyza have?

2

500

Simplify: 

(x^2-x-2)/(x^2+3x)*(5x)/(x-2)

(5x+5)/(x+3)

500

What is the value of angle  x ?

 107 degrees.

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