G8 Mixed Maths

Fractions & Ratios

100

What is three quarters of a sixth?

1/8

200

What is 1/6 ÷ 7/4

2/21

300

What is x if:

x/4 + 1/8 = 5/8

2

400

Daniel ate 40% of the pizza that is orderd. He is greedy. 

Justine, Andy and Heather share the rest. 

4 pizzas were order that are each sliced into 10 slices. How many slices did they eat each?

Daniel: 40% - 16 slices

Justine: 20% - 8 slices

Andy: 20% - 8 slices

Heather: 20% - 8 slices

Expansion / Factorising

100

Factorise: 3xz - 9 z²y

3z(x - 9zy)

200

Expand:3x(x + 2y - z)

3x² + 6xy - 3xz

300

Factorise:

9xz - 3x + 27x²

3x(3z - 1 + 9x)

400

Expand & simplify:

3(9x - 4y +xz) - 2(xz - y + 4x)

27x - 12y + 3xz - 2xz + 2y - 8x

19x - 10y + xz

Sequences

100

Give two examples of when sequenecs appear in the natural world around us

Leaf design

Shells

Flower petal layout etc.

200

What are the two missing numbers in this sequence:

6, ?, 20, 27, ?, 42

7 times table minus 1:

13, 34

300

What is the nth term (algebra expression) for this sequence:

4, 7, 10, 13...

3n + 1

400

What is the nth term (algebra expression) for this sequence:

11, 24, 37, 50, 63

13n - 2

2D shapes & Pythagoras

100

What's the area of a circle with a radius of 3cm?

28.3cm²

200

Give the two equations for the perimeter of a circle

Pi x D (diameter)

Pi x r² (radius)

300

Convert the area 0.25m² into cm²

2,500cm²

400

What's the perimeter of: 

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42.2cm