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Archive for July, 2019

Crime fighting, etc. with Inverse Math

July27

Inverse problems are mathematical detective problems. An example of an inverse problem is trying to find the shape of an object only knowing its shadows. Is it possible to do this at all? What sort of errors are we likely to make, and how much extra information is needed? Other examples of inverse problems are […]

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Problem-Solving Problems

July18

Check out the sets of problem-solving questions on the NZMaths website. Copymasters are included and there are excellent problems for all levels, covering Algebra, Measurement, Geometry, Statistics, etc. Here is one example, from Level 2: “There are 2 pirates and 4 treasure chests on an island. The pirates have 1 small boat to take the […]

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Math is about solving problems!

July18

There is a dilemma in Mathematics – the pressure to get students through coursework versus the joy of problem-solving and mathematical investigation. As sure as one plus one equals two, it happens year after year. Kids who have been bringing home A’s in chemistry and acing AP Calculus arrive at college with visions of STEM […]

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Another Mathcamp bytes the dust

July16

Mathcamp is an immersive summer experience for mathematically talented students ages 13‑18 from all over the world. Mathcamp was founded in 1993, with just two students, and has since grown into an amazing community of 120 students each summer and 1500+ alumni who share a love of mathematics. Mathcamp is an intensive 5-week-long summer program for mathematically talented high […]

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The Privacy Puzzle Improved

July14

A team of Reed Statistics students won first place in a prestigious national competition for an innovative algorithm that helps researchers glean information from datasets—without compromising individual privacy. That right – a technique for ensuing your privacy while allowing statistical analysis of data! Zeki Kazan ’20, Kaiyan Shi ’20, and Simon Couch ’21 (seen here) […]

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Math Menu at Reed College

July13
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When dividing by a fraction the answer gets bigger?

July13

That’s right. Here is a typical problem that asks you to divide a number by a fraction: Think of it this way – how many halves are there in 30? Answer: Well, there will be 60 halves in 30. So the answer will be 60 + 10 = 70. Note that we do the division […]

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Chicken question leaves math students scratching their heads

July10

A 13-year-old boy from Texas recently won a national math competition with an answer rooted in probabilities — and a dash of farming. The boy, Luke Robitaille, took less than a second to buzz in at the Raytheon Mathcounts National Competition with the correct answer. The question? In a barn, 100 chicks sit peacefully in a circle. […]

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Math is Fun – Hands on Activities

July10

There are some wonderful activities and helpful topics at the Math is Fun website, including ones for projects …

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Buying a car with the help of Math

July9
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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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