Whitgift sample 11+ Maths papers answers

[Mittleme]

Hi All

could someone please kindly help with the following answers to the Maths sample questions


url is
http://www.whitgift.co.uk/docs/614-101112MathsEn.pdf" onclick="window.open(this.href);return false;



Question is in 2 parts


1.Groups a,b and c



18 and 19



heres questions and answer to 18.

To go and watch a film at the cinema, the seats cost £3 each for a child and £7 each for an adult. I was charged £51 for all of the seats I bought.
(a) Did I buy more than 7 adult tickets?
(b) If there were more adult tickets than child tickets, how many of each did I buy?
(c) If there were more child tickets than adult tickets, how many of each did I buy?


please confirm we are correct

a) no
b)6 adults and 3 child
c)3 adults and 10 child



Second Part

2. Group B and C

Questions 8,9 and 10



Thanks in anticipation

[Guest55]

To go and watch a film at the cinema, the seats cost £3 each for a child and £7 each for an adult. I was charged £51 for all of the seats I bought.
(a) Did I buy more than 7 adult tickets?
(b) If there were more adult tickets than child tickets, how many of each did I buy?
(c) If there were more child tickets than adult tickets, how many of each did I buy?

Hints

(a) How much does 7 adult tickets cost?

(b) what combinations give £51 as a cost? Try some numbers

(c) ditto

Sorry haven't got time to look up the questions. If you post them I'll give more hints.

[Mittleme]

OK thanks but sorry am unable to copy and paste the ones with a diagram which to be honest are the ones i really need help with.

but heres the rest






9. A box of kiddimix contains 20 chocolates of which 8 are plain chocolates and 12 are milk chocolates. If 16 of the 20 have soft-centres, what can you say about how many plain chocolates there are with soft-centres



18.i already answered in my original post above.please kindly check and confirm.thank you




[Guest55]

9. A box of kiddimix contains 20 chocolates of which 8 are plain chocolates and 12 are milk chocolates. If 16 of the 20 have soft-centres, what can you say about how many plain chocolates there are with soft-centres

SO only 4 don't have soft centres ... those four could be either plain or milk.

But at least 4 of the plain must be soft centred ... does that make sense?

[Mittleme]

Great . well explained.


This is what my daughter wrote

All the plain chocolates could be soft centre. what do you think? is that the same as your answer or is yours more correct English?



thanks Guest 55.

[Guest55]

19 - I got one quarter. Not sure how to explain it as I tried two ways to check.

Triangle CMD if all shaded would be half x side x side = half square

subtract triangle COD = half side x half side = quarter square

half - quarter = quarter of the square.

You can do it by drawing but I can't show that ....

[Mittleme]

19. thanks . daughter got one quarter but she can't seem to explain to me.

i will study your explanation.

[Guest55]

The soft centres one - I think they are looking for the fact you know at least four MUST be. Yes they all could be but you cannot know that for sure ....

[Mittleme]

Guest 55 wrote


The soft centres one - I think they are looking for the fact you know at least four MUST be. Yes they all could be but you cannot know that for sure ..




Ok correct will use your wording.


Thanks

[Mittleme]

heres questions and answer to 18.

To go and watch a film at the cinema, the seats cost £3 each for a child and £7 each for an adult. I was charged £51 for all of the seats I bought.
(a) Did I buy more than 7 adult tickets?
(b) If there were more adult tickets than child tickets, how many of each did I buy?
(c) If there were more child tickets than adult tickets, how many of each did I buy?


please confirm we are correct

a) no because then we would have £2 left .
b)6 adults and 3 child
c)3 adults and 10 child