**a) See below**

**b) 41 Tiles**

- Pattern 1 = 3Grey + 1White = 4 tiles
- Pattern 2 = 4Grey + 2 White = 6 tiles
- Pattern 3 = 5Grey + 3 White = 8 tiles
- So rule is (Pattern number + 1) + Pattern number = Total number of tiles
- (20+1)+20 = 41

**c) 50**

- The pattern starts at 4 tiles and goes up in 2s. But then you have to reduce it by 1 to get to the pattern number. So for Pattern 3, this is 8 tiles. 8 divided by 2 = 4. Less 1 = 3. Confirmed above that this is Pattern 3
- Therefore, if you have 102 tiles, then this is 51.
- 51 less 1 = 50

**17**

130/8 = 16.25

Cannot buy 0.25 of a packet so need to buy 17 packets

**He has enough oranges**

- Each orange in the pictogram is 4 oranges
- So 5 oranges above x 4 per picture = 20 oranges
- Plus half of an orange in the pictogram = 2 oranges
- So total number of oranges = 22 oranges
- 1 1/2 litres = 3 x 500ml. So 3 * 7 oranges per 500ml = 21 oranges
- He has enough in oranges

**4,8 & 20**

**a) 4**

BIDMAS. Do multiplication first. So 16-12 = 4

**b) 70%**

When converting decimals to percentages, just move the decimal place 2 places to the right. So 0.7 becomes 70.

**c) 0.6**

3/5ths as a decimal. To convert denominator to 100, multiply both numerator and denom by 20. So 60/100 = 0.6

**d) 18**

15/100 * 120/1

e) 20 **–** 10 **/**5 = 18

Do division first according to BIDMAS. Then subtraction. So 20-2 = 18

f) **16+(32/8/2)-1 = 16 + 2 – 1 = 17**

**a) 39**

1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39

**b) 23**

23 & 25

**c) NO. 42 is not in the sequence**

Going up in 3s. So next is 20,23,26,29,32,35,38,41,44

**d) To be updated**

**13/40**

- You have 1/4 shaded of the first square. 2/5ths shaded of the second square
- This is a question of being able to convert both fractions to the same denominator
- So this would be 20. 1/4 becomes 5/20 and 2/5ths is 8/20
- Then add both these together to get 13/40. Note its not 13/20 as you have to add the squares together which is unlike a normal fraction addition

**a) x = 6**

- 3x + 7 =25
- 3x=25-7
- 3x=18
**x = 6**

**b) 8**

- 3f – 2g
- (3*6) – (2*5)
- 18-10

**a) 5412**

**b) 45,42,41,54,52,51,24,25,21,14,15,12**

- Start with each digit at a time