**2367 (Smallest possible number)**

**6542 (Largest possible number)**

a) 5

b) 26

c) 112

Apply the rules of BIDMAS. Brackets, Indices, Division, Multiplication, Addition, Subtraction

**£6.42**

- If 9 pairs cost £19.26, work out the cost of 1 pair first via division
- This would be £2.14
- Cost of 3 pairs would be £6.42
- Or you look at 9 pairs and 3 pairs. HCF is 3. Just divide the £19.26 by 3

**321**

**279**

**20**

- It is one extra “21” So 321
- It is one less “21”. So 279
- It is 20

**0.029; 0.23; 0.25; 0.66; 0.667**

- Convert to the same metric if required. This makes the exercise easier
- So, can convert all of these to decimals
- 0.23, 0.667, 0.029, 0.66, 0.25

**3/12; 2/8; 1/4**

- Best way to compare fractions is to convert to the Lowest Common Denominator
- But this is tricky with tight timelines
- Therefore look for a common denominator where possible
- 3/12; 2/8 & 1/4

**33**

- Use division so you get 6240/192 = 32.5
- So we need 33 trips

**10C**

Difference between hottest and coldest = +4 – – 6 = 10C

Row 1 increases by 5,9,13,17,21

**7**

- Work backwards.
- 16 + 5 = 21
- 21/3 = 7

**3**

- Convert to 10ths and then back again
- So that would be 6/10 + 3/10
- This would convert back to 3/5 + 3/10

**a) 52**

5 x 10 + 2

**b) 127**

5 x 25 + 2

**c) 67**

Work backwards. 337 – 2 = 335

335/5 = 67

**d) Van = 2.5 metres; Car = 1.8 metres**

Additional 5 metres = 2 vans

Van = 2.5m

If a van is 2.5metres, then using the first jump of 14 metres, we take 2 vans off this which is 5 metres leaving 9 metres.

Per car, this will be 9 metres/ 5 cars = 1.8m

**8m**

- Area is LxW
- So working backwards, 72=9xW
- Rearrange. W=8

**5.75kg**

- Total weight is best done by converting into common metric. So lets say kg

**5.25kg**

**9,600cm³**

Volume = length x width x height

Volume = 3.2 x 1.5 x 2

Volume = 6.4 x 1.5

Volume = 9.6 (this is in metres. Convert to centimetres)

**9.6litres**

1 litre = 1000cm³

**65°**

- Triangle = 180°
- 180 – 50 – 130
- 130/2 = 65

**Approximately 40°**

An acute angle

**32 minutes**

- Convert time to minutes
- So 75 minutes – 43 minutes

**Tortoise**

**2o**

**17**

32-15

**20 students**

- Work on basis 6 students = 30°
- Therefore, 2 students = 10°
- So, 100° = 20 students

**24**

- 32 men = 1/4
- 3/4 women = 3 x 32 = 96
- 25% of women bought a newspaper. So 25% or 1/4 of 96

**175**

- To paint houses, 14 days per house x 14 houses = 168 days
- Add 4 days holiday = 172
- Add 3 days sick leave = 175

**38**

- Triple 16 = 48 points. Double 20 = 40 points
- Total so far is 88 points
- He therefore needs 38 with this final dart

**a) £120**

Car Hire £45

Over 200km is 150km extra driven

Cost is £0.5 per km so total cost is 150 x £0.50 = £75 extra

Total cost is £45 + £75

**b) 390km**

Cost for Daryl £140. Less 200km covered for £45.

This leaves £95

Total mileage from this would be 95/0.5 = 190km

Add base 200km so total distance travelled is 390km

**100°**

- At 4:40, hour hand will be 2/3rds of the way between 4 and 5
- Minute handle at 40
- So each hour or number on the clock is 30°
- From 4:40 to 5:00 the degree angle is 10°
- From 5:00 to 8 (Which is for 40 mins), the angle is 3 x 30 – 90°
- Add 10 degrees per note 4 and you get 100

**£15.96**

Buy 2 get 3rd free so only pay for 2

**£5.32**

£15.96/3 to get equivalent price per bottle

**All the common factors of 72**