**3258**

**3/10; 0.305; 1/3; 35%**

- Estimate approximately to the same denominator
- So , 0.333; 0.305; 0.35; 0.3
- This makes it easier to rank the numbers

**£1.35**

- 15 * 35p = £5.25
- Multipack = £3.90
- Difference = £1.35

**a) 30°**

180 – Australia – Africa = 180-90-60

**b) 1/8**

45/360 = 9/72 = 1/8

**c) 30**

180/1 * 60/360 = 180*1/6 = 30

**d) 1000**

Degrees for Europe = 180 – USA = 180-45 = 135

1600 * 225/360. Simplified this is 1600 * 45/72 = 15/24

1600/1 * 15/24

**a) i) 14km**

26km – 12km

**ii) 9000m**

Must be 23km – 14km = 9km = 9000m

**b) 2 hours 30 minutes**

Josham to Moreton is 35km

At a rate of 14km = 35/14 = 2.5. So this is 2.5 hours

**40% or 2/5**

Prime Numbers between 1 & 20 are 2,3,5,7,11,13,17,19

This is 8 numbers out of 20. So as a proportion this is 40% or 8/20 = 4/10=2/5

Remember, 1 is not a Prime Number

**a) 8**

Mode = most common score. Scores were 9,6,8,4,8

**b) 5**

Range = 9-4

**c) 7**

9+6+8+4+8 = 35. Mean is average 35/5

**d) 4**

6.5 * 6 (6 being number of tests) = 39

French score is 39-35 = 4

**e) 2/3**

9/10; 6/10; 8/10; 4/10; 8/10; 4/10

He passed 4 out of 6 tests so 4/6 or 2/3

**f) 35%**

History score before was 4/10 – 40%

Now he scores 15/20 = 75%

Improvement = 35%

**10:40**

- Difference between 9am and 11am is 2 hours.
- Your dealing with ratios here 5:1. So 6 parts
- If you have 2 hours this is 120 minutes and each part is 20 minutes
- So 5 of these are 100 minutes. 1 part is 20 minutes
- So 100 minutes has passed which would mean 9am + 100mins = 10:40am

**a) 8 minutes**

If 2 chimps eat 3 in 4 minutes, to eat 6 will take double the time so 8 minutes

**b) 7 chimps**

In 8 minutes, 2 chimps eat 6 bananas

6 chimps would eat 18 bananas in 8 minutes

Each chimp added eats 3 more bananas in 8 minutes

So add 1 more chimp on to get to 7 chimps eating 21 bananas in 8 minutes

**a) to d) below**

**e) See below**