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 Post subject: Tricky QuestionsPosted: Fri Sep 02, 2011 8:14 pm

Joined: Tue May 10, 2011 1:12 pm
Posts: 117
Can somebody help us solve these questions?
1. Sharpay is going shopping for some new stationery.
She can buy 3 pencils and 1 ruler for 50p, or 2 pencils and 2 rulers for 56p.
How much does each pencil cost?

2. In a magic square, the total for each row, column and diagnol is the same.
What is the value of m?
(sorry, I cannot draw the magic square, but I am sure you guys will get the idea)

? 4 17
? ? m
5 ? ?

I would very much appreciate if someone can assist in solving these questions.

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 Post subject: Re: Tricky QuestionsPosted: Fri Sep 02, 2011 9:33 pm
3pencils and 1ruler costs 50p
6 pencil and 2 ruler costs 100p

2pencil and 2ruler costs 56p

So 4 pencil costs 44 p (subtracting the 2 lines)
So 1 pencil costs 11p

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 Post subject: Re: Tricky QuestionsPosted: Fri Sep 02, 2011 9:51 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 14000
Errr - that's a bit complicated.

3 pencils and 1 ruler for 50p
2 pencils and 2 rulers for 56p, so easier to say that 1 pencil and 1 ruler is 28p.

This means the extra 2 pencils cost 22p ie 11p each..

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 Post subject: Re: Tricky QuestionsPosted: Fri Sep 02, 2011 10:04 pm
That's a bit illogical alright.

In my method the ruler is eliminated and only left with pencil. You. Your method does not explain the leap if faith.

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 Post subject: Re: Tricky QuestionsPosted: Sat Sep 03, 2011 7:56 am

Joined: Fri Sep 15, 2006 8:51 am
Posts: 8598
hmm .. I would do it G55's way, there are often questions around where it comes down to an amount for a basic unit eg 1 apple + 1 orange + 1 raspeberry and all other answers come from there.

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 Post subject: Re: Tricky QuestionsPosted: Sat Sep 03, 2011 9:02 am
There are several factors to consider here..child's ability, time pressure, etc..

It's a case of horses for courses, as long as the principle is grasped and repeated successfully, then getting the right answer is the main consideration.

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 Post subject: Re: Tricky QuestionsPosted: Sat Sep 03, 2011 10:27 am

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 14000
Your method is much longer - I have 'subtracted' the rulers because there are the same number in each sentence.

As a teacher I recommend to 'keep it simple' ...

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 Post subject: Re: Tricky QuestionsPosted: Sat Sep 03, 2011 11:19 am

Joined: Tue May 10, 2011 1:12 pm
Posts: 117
Thank you so much. I hope I can explain this to my DD properly though.

Anybody with thoughts on the 2nd question? Its a number grid which I wasn't able to draw

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 Post subject: Re: Tricky QuestionsPosted: Sat Sep 03, 2011 12:10 pm
As a chartered engineer I personally prefer to teach from first principles; then if a question is worded differently but uses the same process, then child is not thrown backwards for six.

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 Post subject: Re: Tricky QuestionsPosted: Sat Sep 03, 2011 12:16 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 14000
But your method overcomplicates it - and we are off topic

Perhaps that's the difference between mathematicians and engineers

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