**2184**

**1.5**

- 3 1/4 – 1 3/4 = 1 1/2
- As a decimal, this is 1.5

**a) 12**

1/4 * 48/1

**b) 2**

48 * 1/2 = 24.

24 * 1/3 = 8

8 * 1/4 = 2

Remember of in maths means multiply

**a) 1/8**

45/360. Start off with 5 as the highest common denominator. Although there is a higher one

So 45/360 would become 9/72

Then 9/72 becomes 1/8

**b) 40**

Its the usual formula approach for this:

60/360 * 240/1

Then simplify each fraction (so 60/360 becomes 1/6)

Revised calculation is 1/6 * 240/1. Cross cancel and then multiply from there. See online videos on Youtube for 123tutors for further guidance

**c) 450**

Football is 135°. So 135/360 * 1200

**a) 7**

Mode is the most common number. This is 7

**b) 8**

8+7+11+6+9+7 = 48

48/6

**c) 5**

Range is highest minus lowest

**85p**

- 12 * 65p = £7.80
- £7.80 – £6.95 = 85p

**1/20; 1/5; 1/4; 6/20; 3/2**

- Use estimation if needed. So this would involve converting all of the fractions to the highest denominator which is 20
- 6/20; 4/20; 30/20; 1/20; 5/20
- This makes it easier to rank them

**a) Rhys 30 miles. Sarah 60 miles**

Work on ratios. Rhys 10:20 Sarah

This is 30 parts. So into 90, Rhys gets 30 and Sarah 60

**b) 2 hours**

Given they are travelling towards each other

**a) 1200mm²**

Area of rectangle = LxW = 60mm x 20mm

**b) 40 triangles**

2 Triangles will joined together have dimensions of LxW = 12mmx5mm. So they form a rectangle

Therefore, in 60mm across, you get 5 “blocks” of 2 triangles. And you can go to a height of 4 blocks

So in total 5 * 4 blocks = 20 blocks. 2 triangles per block so 40 triangles

**c) 1200mm**

Perimeter of 1 triangle = 12+5+13=30mm

Total number of triangles = 40

Total Perimeter =1200mm

**d) 1.2m**

10mm = 1cm

100cm = 1m

1000mm = 1m

**a) 4 plates**

BB1, BB2, BB3, BB4

**b) 16**

Per above * 4 since you have AA1-4,BB1-4,CC1-4,DD1-4

**c) 12**

AB1,AB3,AC1,AC3,AD1,AD3,BA1,BA3,CA1,CA3,DA1,DA3

**d) 3/8**

Alphabetical order: AB,AC,AD,BC,BD,CD. Each one has 4 possible plates. So AB1,AB2,AB3,AB4,AC1,AC2 etc

Total number of possible plates = 24

24/64 = 3/8

**12**

- Can use algebra to solve.
- 2(x-4) = x+4
- 2x-8=x+4
- Rearrange
- x=12

**1/4**

4 parts of 16 shaded = 4/16 = 1/4