**a)i) 1/4**

- 3/12. In its simplest form, this is 1/4

**a)ii) 0.25**

- Convert to a decimal = 0.25

**b) i) See below**

**b) ii) 80%**

**a) i) 31°**

W = 180 – 107 – 42 = 31

180° in a straight line

a)ii) Reason is 180 in a straight line so its 180 less 107 less 42 to give the missing angle

**b) x = 52°; y= 47°**

For x…given JKL & MKN are straight lines, opposite angles in this set up are equal. Hence x = 52

For y….180 – 52 – 81 = 47°

**a) 0.03**

**b) 7**

If 7.50 or above, then rounds to 8. Between 6.500 and 7.499, rounds to 7

**c) 0.75**

**d) 0.07; 0.14; 0.306; 0.35; 0.4**

**e) 31/100**

Remember 1.00 is 100% is 1/1. So 0.5 is 50% is 50/100. Work from there

**a) Cardiff**

**b) -8C**

If temperature had fallen by 5C in London by midnight, temperature would now be -3-5 = -8

**c) 3C**

2 – -1

**a) Equilateral Triangle**

**b) Octagon**

**c) a,c,d,e,h,i**

**a) 40%**

12 toffee = 60%.

8/20 are not toffees

**a) 2**

Mode is the most common number

**b) 15**

Range is highest – lowest

**c) 4**

Mean = Average. Add up all of the numbers and divide by the number of instances

40/10

**a) 8.23**

**b) 1 hour 35 mins**

08:45 – 09:00 = 00:15

09:00 – 10:00 = 01:00

10:00 – 10:20 = 00:20

Total time is 0.15 + 1.00 + 0.2 = 1hour 35mins

**a) 20mins**

Use HCF & LCM. Work on the normal basis that 3 is 1/3 of 9. So if 9km = 1 hour, 3km = 1/3rd of 1 hour

**b) 2km**

1/4 of the 8km/h = 15mins. So this is 2km

**72cm**

(15 * 4) + (3*4) = 60 + 12