**D**

- 60 seconds per minute. 4 minutes = 60 x 4 – 240

**A**

- 0.3 = 3/10

**0.07**. Put numbers in a column format to help assess if needed

**D**

250cm = 2.5m

**D**

- Use BIDMAS. Therefore…
- 32-8
- 24

**B**

- 180 – 25 – 107 = 48

**A**

36cm² as area means sides must be 6cm long each.

Therefore, total is 24cm

**A**

- 10:28 to 11:00 is 32 minutes
- 11:00 to 16:00 is 5 hours
- 16:00 to 16:06 is 6 minutes
- Add them together gives 5 hours 38 minutes

**C**

Value of digit 5 is in tenths

**E**

- £1.99 x 6 = £11.94
- Change would be £20.00 – £11.94

**a) 672**

**b) 264**

**c) 1,081**

**d) 843**

**a) 1/3**

**b) 7/8**

**c) 1/3**

**d) 6 4/7**

**3.44, 4.34, 4.43, 34.4, 43.4, 44.3**

**a) 10**

Mean is average. So its 17+12+8+16+2+5+10 = 70 / number of instances = 70/7

**b) 15**

Range is Highest – Lowest

**c) 14**

If mean is 10, then work backwards. Mean = Total/number of instances

This means 40 = Total/4

So total has to come to 40 and therefore, missing number is 40-5-7-12

**a) 7:10**

140:200 = 14:20 = 7:10

**b) 30cm**

If model is 9m, = 900cm. Therefore 900/30 = 30cm

**c) 1:50**

120cm:6000cm = 1:50

**a) 127cm**

Convert to cm. 214-87

**b) 25 bags**

290/12 = 24.2

Round up as you need to cover the “0.2” requirement. So 25 bags

**72 stickers**

- 80/10 = 8
- 45/5 = 9
- 8 * 9 = 72

**a) 3.5 hours**

Time = Distance/Speed = 420/120

**b) 180 miles**

Distance = 180miles

120mph so after 1.5 hours, train will travel 180 miles

**a) 3.7**

(3.5+3.9)/2 = 7.4/2

**b) 1.55**

(1.3+1.8)/2 = 3.1/2

**D Coordinates are (1,0)**

**Area = 3 square units**

**42857**

It is possible to make the following equation:

3(100000 + x) = 10x+1

(Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number)

Solving this gives:

10x+1 = 3(100000 + x)

10x+1 = 300000 + 3x

10x = 299999 + 3x

7x = 299999

x = 299999/7 = 42857

The answer is 42857 (142857 is three times smaller than 428571)