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Archive for October, 2011

May the Force be with You!

October27

As a growing mathematician you will need to get really good at working with formulae. That is, you need to learn how to solve simple equations and use this knowledge to work with formulae. Another way of letting you in to this gently is that it is like you need to know the road rules […]

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Codes and Ciphers

October27

    Scientists announced yesterday that they have used computer translation techniques to decipher a 250 year old, coded manuscript written for a secret society. The manuscript, called The Copiale Cipher, is a beautifully-bound, 105-page, 18th century handwritten from Germany. To view this remarkable document and read of the secrets it unlocked (thanks to some […]

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Die Hard Challenge (from Maths Digest) – Help Zeus and John get 4 gallons of water!

October25

The Script. Simon> On the fountain, there should be 2 jugs, do you see them? A 5 gallon and a 3 gallon. Fill one of the jug with exactly 4 gallons of water and place it on the scale and the timer will stop. You must be precise, one ounce of more or less will result […]

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Maths Digest Recommendation

October18

I highly recommend the Maths Digest resource for schools. Here is an example of the puzzles which really do help students and teachers think about their mathematical world:

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Probably not good probability?

October15
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A Difficult Division Question

October7

I loved this question, posed by Sir Ken Robinson at one of his TED Talks; Is a 3 year old half a 6 year old?  

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how seniors solve 3×9

October7
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Organising Maths Ideas

October4

Here is a great way to help understand the strategies you need to adopt to solve mathematical problems – put them into a mind map, such as bubbl.us Here is an example – looking at the strategy steps for factorising:  

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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