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Primary 2 Maths Question


JackRabbit
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Hi All

 

Need some help - my kid got this question wrong for a Math Test (Primary 2).

 

I also have no clue what's the right answer.

 

Please help!

 

 

post-55099-1319626207_thumb.jpg

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ok.. i found out the correct answer.... but I'll leave this thread open so that you guys can also figure out. I'll post the answer if no one can figure out.

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I heard kids are pretending to be parents and asking people on the internet

 

for answers to their homework. That way that get their homework done for them free.

 

:D

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The smater kids even pretend to have the correct answers but sill tell people,

 

tell me yours and I will tell you mine.

 

:D

 

 

Good one... ha... psychological warfare at work.

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Neutral Newbie

Bro, i am a full time tutor, this is considered elementary and fundamental in current pri sch math. Next yr u will [bigcry] and go [hur] hee....

Edited by Subatoyo
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Neutral Newbie

The question asks how many eggs did she see on the graph being spilled by the milk ?can be interpreted both ways ba . [whip] to be precise, shoud be 14 :D

Edited by Subatoyo
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Just seeing this.

 

Correct answer: 14 eggs. (7 symbols).

 

One of the standard tools to figure out sequences (other than staring at it) is to compute the difference between successive terms.

 

Just working on number of symbols:

 

Mon: 1 -> call that T(1) (for term 1)

 

Tue: 2 -> T(2)

 

Wed: 4 -> T(3)

 

Thurs: ? -> T(4)

 

Fri: 11 -> T(5)

 

Take differences:

 

T(2) - T(1) = 1

 

T(3) - T(2) = 2

 

T(4) - T(3) = ?

 

T(5) - T(4) = ?

 

There are two "common" patterns that start with 1,2...

 

viz. the natural numbers: 1,2,3... and the geometric progression 1,2,4,8...

 

A bit of trial and error here.

 

If you try the latter, you get a value for T(4) [Thursday] of 4+4 = 8 and T(5) [Friday] of 8+16 = 24 which clearly can't be right because you know T(5) is supposed to be 11.

 

So the differences are represented by the natural numbers (the first choice), giving T(4) = 4+3 = 7 and T(5) = 7+4 = 11, which is what we want.

 

(Actually, the Fibonacci series which starts 1,1,2,3,5... from the second term onward is also a contender for the successive differences, but I would expect this to be beyond the scope of a Primary school question. In any case, it doesn't fit either).

 

So T(4) = 7 symbols, or 14 eggs.

 

For the math geeks, this is a simple linear recurrence: T(n) - T(n-1) = n-1, with T(1) = 1

 

Solving it for a closed form will yield T(n) = (n^2 - n + 2)/2 symbols, or (n^2 - n + 2) eggs. From that you can find the answer for Thursday, which is (4^2 - 4 + 2) = (16 - 4 + 2) = 14 eggs.

 

But the last bit of cheeminology is just for fun. And rigour. [:p]

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