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Maths-11-plus-Collegiate-2009 - 11 plus exams tutor. 11+ tutor Feltham. Eleven Plus Exams

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2/10

-8C°

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

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3/10

E & D

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

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4/10

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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

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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

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8

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

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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

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18

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

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20cm²

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

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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

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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

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

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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

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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

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Area of 1 rectangle = 15 x 5 = 75cm²

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8/10

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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)

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The number is a multiple of

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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

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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

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6 DARK TOFFEES

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

 

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