Maths-11-plus-Eltham-College-sample

a) See below

b) 41 Tiles

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

c) 50

1. 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
2. Therefore, if you have 102 tiles, then this is 51.
3. 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

1. Each orange in the pictogram is 4 oranges
2. So 5 oranges above x 4 per picture = 20 oranges
3. Plus half of an orange in the pictogram = 2 oranges
4. So total number of oranges = 22 oranges
5. 1 1/2 litres = 3 x 500ml. So 3 * 7 oranges per 500ml = 21 oranges
6. 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

1. You have 1/4 shaded of the first square. 2/5ths shaded of the second square
2. This is a question of being able to convert both fractions to the same denominator
3. So this would be 20. 1/4 becomes 5/20 and 2/5ths is 8/20
4. 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

1. 3x + 7 =25
2. 3x=25-7
3. 3x=18
4. x = 6

b) 8

1. 3f – 2g
2. (3*6) – (2*5)
3. 18-10

a) 5412

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

1. Start with each digit at a time

5

60°