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Archive for April, 2021

Way Crazy Counting!

April14

Super fast counting to produce super large numbers—the art of the abacus!

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We Use Statistics Every Day

April14

It was a crazy idea—to skateboard across Australia. With those snakes, deserts, and wilderness, it could be…very dangerous! Mathematics comes to the rescue in the form of summary statistics. Students often overlook the importance of using statistics for practical activities. Statistics are widely used across all sports. Check out more about Tom Dury’s 4000km trek […]

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Pythagoras Statue on Island of Samos

April12

Pythagorio is built on the ancient city of Samos. Some ruins of the ancient city are today incorporated in modern houses of Pythagorio. The ancient city reached affluence around 530 B.C. under the tyrant Polycrates. At that time Samos became a powerful nautical state. This power led to richness and prosperity, which is evident from […]

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Two More Problems

April5

The following problems proved popular: What are your answers (see Post Support for solutions). You might want to refer to the BEMA RULES first! The full video is available here

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Post Support

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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