Year 8 Factorising Simple Expressions

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What is the highest common factor of 32 and 72?

1 point

Clear selection

Factorise 3x – 6

1 point

3(x – 6)

3(x + 2)

3(x – 2)

3(x – 3)

Clear selection

Factorise 3k + 12

1 point

3(k + 3)

3(k + 4)

3(k + 12)

–3(k – 4)

Clear selection

Factorise 3x + 15

1 point

3(x + 15)

3(x + 5)

5(3x + 3)

3(3x + 5)

Clear selection

Factorise 12x + 32y fully

1 point

2(6x + 16y)

12(x + 20y)

4(3x + 8y)

6(2x + 26y)

Clear selection

Factorise –9x – 27 fully

1 point

–9(x – 3)

–9(–x – 3)

–9(x + 3)

–9(–x + 3)

Clear selection

Factorise 48x + 8 fully

1 point

8(6x + 1)

8(6 + 8x)

8(6x)

8(6x + x)

Clear selection

12a + 24 completely factorises to

1 point

12(a + 2)

12(a + 24)

6(2a + 4)

12a(1 + 2)

Clear selection

Factorise –14x + 28 fully

1 point

–7(2x + 4)

–14(x – 2)

7(–2x – 4)

7(2x – 4)

Clear selection

Factorise 9x – 28

1 point

cannot be factored

9(x + 3)

3(3x + 9)

3(9x + 3)

Clear selection

Factorise 7x - 49

1 point

7(x - 7)

7(x - 49)

-7(x + 7)

-7(x - 49)

Clear selection

b is a factor of ab + bc. What is the other factor?

1 point

a + bc

a + c

Clear selection

If 7 is a factor of 7a + 7b, what is the other factor?

1 point

a + 7b

a + b

Clear selection

x is a factor of xy + xz. What is the other factor?

1 point

y + xz

y + z

Clear selection

Factorise 21-7b

1 point

21(1 – 7b)

7(3 – 7b)

7(3 – b)

7(21 -b)

Clear selection

The fully factorised form of 8xy – 24y is

1 point

4y(2x – 6y)

8(xy – 3y)

8y(x – 24)

8y(x – 3)

Clear selection

The correct factorisation of 3xy – x is

1 point

3x(y – 1)

3x(y – x)

x(3y – 1)

x(3y – x)

Clear selection

The fully factorised form of 3x² -12x is

1 point

3x(x – 4x)

3x(x – 4)

4x(3x² – 3)

3(x² - 4)

Clear selection

Factorise 4a² – 12a:

1 point

4(a² – 6)

2a(a – 6)

4a(a – 3)

4a(a + 1)

Clear selection

The fully factorised form of 3a² – 6ab is

1 point

3a²(1 – 2b)

3a(a – 2b)

3a(a – b)

3(a² – 2ab)

Clear selection

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