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Posts tagged with Tsar and Peasant

The Power of Exponential Growth

January26

It’s a take of the classic Tsar and Peasant problem, where the peasant offers the tsar a million roubles (aka dollars) for just one rouble today, two tomorrow and 4, then 16…for 30 days. Who wins? In this version, we put one drop of water on the pitcher’s mound at a baseball match, then 2 […]

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Covid-19 and the Power of Doubling

March26

Most recent data analysis on the spread of Covid-19 is that it spreads at the rate of just of 2x per day (2.1 in one reference). This “doubling” seems reasonable and controllable. However, it reminds us all of the parable (nice word that word ‘parable’) of the Tsar and the Peasant. The peasant challenges the […]

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Simple and Compound Interest

November10

We revisit the compound interest topic posted a while ago, using this excellent cartoon to illustrate the principle of growing investments faster with compound interest (note: the video is in no way associated with H3 Maths):

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Power Functions..the Tsar meets a smart Peasant

March16

The Russian Revolution has not been kind to Peasant Peter. However, he has taken advantage of moves by their leader, Tsar Alex, to make Mathematics and Science popular, and enrols in a Mathematics course. Fortunately, he bumps into the Tsar one day as they both head across the snow-filled campus. The Tsar takes a moment […]

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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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