Maths-11-plus-Collegiate-2009

224

30,297

-8C°

1. -12C + 4C as it increases for Tues-Fri

E & D

This is because its vertical line of symmetry is not there when you look at each of the letters

a) 45

1. May is 14 and her father is 53
2. Mays mother is therefore 45

b) 16

1. If 5 marbles cost £7.50, then 10 would cost £15. 15 would cost £22.50
2. Each marble costs £1.50
3. So remaining £1.50 to take you to £24 would get you 1 marble
4. Total number being 16 marbles

1.25

1. 0.012 + 1.238 = 1.250

31 minutes

1. Train was due at 8:05 but arrived at 8:18
2. Therefore 8:18 – 7:47
3. If not sure, go upwards from 7:47 to 8:00 – 13 minutes
4. Then 8:00 to 8:18 which gives another 18 minutes
5. Total 31 minutes

8

1. Work backwards. So 192/3 = 64
2. 64 square root = 8

1

18

1. B=2 ; A=5
2. If A = 45 turns, it has done 9 times as many as the “base case”
3. Therefore, B will also do 9 times as many so its 18 times

18

1. A=5/8; P=3/8
2. Pears therefore = 3/8 * 48/1
3. Pears = 18

20cm²

Its 10cm length x 2cm height. So 20cm²

2 cucumbers

1. 5 tomatoes = 2 pounds weight = £3.00 cost
2. So green peppers they bought 3 = 40p x 3 = £1.20 cost
3. If they got 20p change and spent £4.20, then 60p was spent on cucumbers
4. 60p/ 30p = 2 cucumbers

30cm

1. If Length is 11cm more than width, need possible combinations to give multiple of 60
2. So this could be 30×2 or 15×4. Or several others
3. 15×4 is the only combination that works and this gives a length 11cm more than the width
4. So perimeter is 11cm + 4cm + 11cm + 4cm

3124,3214,3412,3421,4123,4213,4312,4321

11

1. 24 people. 4 got off so this left 20. X people got on
2. Assume zero got on for now at the last stop
3. Second stop . 20 with 3 people getting on leaving 23
4. If there were then 34 people, it means 11 people got on at the first stop

0:1

4 children

1. 56 legs with 3:1 ratio dogs:children
2. 12 dogs = 48 legs. 4 children = 8 legs. So thats 56 legs altogether
3. For every 3 dogs there are 12 legs. For every 1 child, 2 legs. So leg ratio is 12:2 = 14 legs
4. Then work up in 14s to get to 56 which takes you to 48:8
5. So 8 legs = 4 children

Area of 1 rectangle = 15 x 5 = 75cm²

267,120

742

53424

26748

1. Add a zero on. So 267,120
2. Its rearranging the formula so it becomes 742 = 26712/36
3. Double the base answer of 26712 so it becomes 53424
4. Add on 36 to the original answer. So its 26712 + 36 = 26748. (ie an extra 1 x 36 since number changes from 742 to 743)

The number is a multiple of

64 small squares = 18 lines

4 small squares = 6 lines

9 small squares = 8 lines

16 small squares = 11 lines

64 small squares = 18 lines

225

1. In 4 nights, she ate an extra 25 + (25*2) + (25*3) so this is 150 more.
2. Take this away from the total of 1050 gives 900
3. So divide this by 4 and you get 225
4. So day 1 225, day 2 250, day 3 275 and day 4 300
5. Total reconciles back to 1050

6 DARK TOFFEES

Approach is to draw out the breakdown per below and start filling in one section at a time

1