**C**

- In 1 hour = 60 minutes
- Therefore 3 hours = 180 minutes. 1/2 hour = 30 minutes
- Total is therefore 210 minutes

**B**

- For 0.8, convert fractions to either 10ths or 100ths.
- Convert 4/5ths to 10ths = 8/10 = 0.8

**B**

Way to rank numbers is to put them in Column Format like below:

Go Column by Column

**C**

- Logical Thinking. 17cm

**E**

- Apply the rules of BIDMAS
- 12-8+3
- 12-11
- 1

**E**

- Isosceles triangles have 2 angles the same
- So, if 30 degrees is one of the angles, then this leaves 150 degrees
- Therefore, 75 degrees is a possible other triangle

**C**

- Always use dummy numbers if not sure. So if we assume 40 children in class and 1/4 are girls, then thats 10 girls
- There are therefore 30 boys. So ratio girls to boys is 1:3

**B**

- Go 09:34 to 10:00 = 26 minutes
- Go 10:00 to 13:00 = 3 hours
- Go 13:00 to 13:21 = 21 minutes
- Total is therefore 3 hours 47 minutes

**D**

- 9 is in the hundredths column
- So answer is 9 hundredths

**D**

- If the pen costs 50p more, then the way to start with this question is to assume they cost the same
- This would be 55p each
- Then take the difference of 50p and split it into 25p and 25p
- Add 25p to the pen and take 25p from the pencil
- So the pen would be 55p + 25p = 80p

**3.55, 5.35, 5.53, 35.5, 53.5, 55.3**

**a) 3**

Mean = 3+4+2+0+1+8 = 18/(number of instances) = 18/6

**b) 8**

Range = Difference lowest v highest = 8-0

**c) 10**

If Mean increases to 4 after 7 games, then total of 28 goals scored.

Next game would be 10

**a) 7:10**

Ratio of Men:Women = 140:200. This is the same as 14:20 = 7:10

**b) 240cm**

Real tower is 120m tall. Therefore, on a scale of 1:50, smaller version will be 50x smaller

So convert firstly m to cm. So thats adding 2 zeros. 12,000

Then divide by 50 to give 240cm

**c) 3:160**

Firstly again, conversion. 80m = 8000cm

8000/150 = 160/3

**a) 49cm**

Length of cane that snapped off is 2.05m = 205cm minus 156cm

Converting all to cm makes the question much easier

**b) 14**

Would need 14 = 168m²

13 would give 156m² so not quite enough

**44 stickers**

- Use division as a starting point
- So 60/15 = 4
- 55/5 = 11
- Multiply the 2 to get 44 stickers

**a) 12 seconds**

- After 2 seconds, Gary is at 20metres which is when Andy starts running
- So Andy has 20 metres to make up
- It will take him 10 seconds to close this gap as he makes up 2 metres per second
- Add the initial 2 second start that Gary had over Andy

**b) 120 metres**

- Distance = Speed x Time
- Therefore = 12m/s x 10 seconds = 120 metres

**a-b) See below for plotted data**

**c) Coordinates of D are (1,-3)**

**d) Its a 4 by 4 square so 16 square units**

**a) 120km**

**b) Car B**

**c) Car B**

**d) 40km**

100km – 60km

**e) Car B overtook Car A**

**f) Car B between 3.15pm and 3.45pm. Speed of 70/0.5 = 140km/h**

**g) Car B as it got to its destination in a quicker time**

**A=1, B= 4, C=8**

There is a bit of trial and error involved here.

When you work through some permutations, you know C can’t be 0-3. This is because you do need a number that drives some form of carry. This impacts the tens and hundreds columns

So its 4-9

b) 1089For 4-digit numbers, let a, b, c, and d be the digits, so 9*(1000*a+100*b+10*c+d) = 1000*d + 100*c + 10*b + a 8999*a + 890*b = 10*c + 991*d This implies that d = 10 - a, by looking at last digits, which we substitute, and get 9990*a + 890*b = 10*c + 9910 When we divide by 10, we get 999*a + 89*b = c + 991 This implies that a = 1, so 89*b = c - 8 This implies that b = 0 and c = 8, and there is only one solution 9*1089 = 9801.