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Quadratics Factorising Party

Total questions: 13

Worksheet time: 17mins

Name
Class
Date
1.

Factorise: x2 + 13x + 30

a)

(x + 3)(x + 10)

b)

(x + 5)(x + 6)

c)

(x + 2)(x + 15)

d)

(x + 1)(x + 30)

2.

Factorise: x2 - 2x - 24

a)

(x + 6)(x - 4)

b)

(x + 4)(x - 6)

c)

(x - 4)(x - 6))

d)

(x - 3)(x + 8)

3.

Factorise: x2 + 13x - 48

a)

(x + 3)(x - 16)

b)

(x + 16)(x - 3)

c)

(x + 4)(x - 12)

d)

(x + 12)(x - 4)

4.

What is the equation for this parabola in factorised form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

5.

 3216x+2x232-16x+2x^2  

a)

 2(x4)22\left(x-4\right)^2  

b)

 2(x+4)(x4)2\left(x+4\right)\left(x-4\right)  

c)

 (2x8)(x4)\left(2x-8\right)\left(x-4\right)  

d)

 2(2x+4)(x8)2\left(2x+4\right)\left(x-8\right)  

6.

 Factorise 8x2+2x3Factorise\ 8x^2+2x-3  

a)

 (2x+1)(4x3)\left(2x+1\right)\left(4x-3\right)  

b)


 (4x+3)(2x1)\left(4x+3\right)\left(2x-1\right)  

c)

 (8x1)(x+3)\left(8x-1\right)\left(x+3\right)  

d)

 (4x+1)(2x3)\left(4x+1\right)\left(2x-3\right)  

7.

 Fully Factorise 9x26x+1Fully\ Factorise\ 9x^2-6x+1  

a)

 (9x+1)(x1)\left(9x+1\right)\left(x-1\right)  

b)

 (3x1)2\left(3x-1\right)^2  

c)

 (3x1)(3x+1)\left(3x-1\right)\left(3x+1\right)  

d)

 (3x+1)2\left(3x+1\right)^2  

8.

 Factorise  4x2+5x6Factorise\ \ 4x^2+5x-6  

a)

 (2x3)(2x+2)\left(2x-3\right)\left(2x+2\right)  

b)

 (4x+3)(x2)\left(4x+3\right)\left(x-2\right)  

c)

 (2x+3)(2x2)\left(2x+3\right)\left(2x-2\right)  

d)

 (4x3)(x+2)\left(4x-3\right)\left(x+2\right)  

e)

 (8x+6)(x1)\left(8x+6\right)\left(x-1\right)  

9.

Factorise  4x2+8x214x^2+8x-21  

a)

 (4x+7)(x3)\left(4x+7\right)\left(x-3\right)  

b)

 (4x3)(x+7)\left(4x-3\right)\left(x+7\right)  

c)

 (2x+3)(2x+7)\left(2x+3\right)\left(2x+7\right)  

d)

 (2x+3)(2x7)\left(2x+3\right)\left(2x-7\right)  

e)

 (2x+7)(2x3)\left(2x+7\right)\left(2x-3\right)  

10.

I prefer to factorise by:

a)

Splitting the middle term

b)

The cross method

11.

 Fully factorise 3x360x+24x2Fully\ factorise\ 3x^3-60x+24x^2  

a)

 (3x2+5x)(x12)\left(3x^2+5x\right)\left(x-12\right)    \   

b)

 3x(x2+8x20)3x\left(x^2+8x-20\right)  

c)

 (3x2+4x)(x15)\left(3x^2+4x\right)\left(x-15\right)  

d)

 3x(x+10)(x2)3x\left(x+10\right)\left(x-2\right)  

e)

 3x(x5)(x+4)3x\left(x-5\right)\left(x+4\right)  

12.

I feel I can factorise Quadratics

a)

Most of the time

b)

some of the time

c)

rarely

d)

what is a quadratic?

13.

If you were to ask me how I felt about factorising monic and non-monic quadratics, I would say: (you can choose more than one)

a)

Fabulous

b)

Confident

c)

Ok - mostly

d)

I am still really struggling

I can do monics but not non-monics