Company Tax Rates Versus Personal Tax Rates

28 04 2018

This article prompted me to investigate current company tax rates. They’re currently 27.5-30% without a tax free threshold.

I then investigated personal income tax rates. A person earning $37000 and hence at the bottom of the 19% bracket pays 9.7% of each dollar earned.

A person earning $87000 and hence at the bottom of the 37% bracket pays 22.8% of each dollar earned.

A person earning $180000 and hence at the bottom of the 45% bracket pays 30% of each dollar earned. I was not able to find what proportion of tax payers this would be.

I then went in search of past personal tax rates because I could recall the top bracket being 66.7%.

This is what I found for the 1971-72 financial year.

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Latest News From Jo Boaler and the Team

24 04 2018

Here’s the latest update with links to some exciting resources. Thank you Jo and team.





Retirement Village Contracts Will Require Doing the Sums by Rachel Lane

8 04 2018

Here’s another article with data suitable for some classroom mathematics questions. Even rearranging the information into a table or graphically would make for a good exercise.





Farm Wifi

7 04 2018

My brother has just installed wifi across part of his farm. It’s an expensive process as the base at the house costs about $1800 and each repeater tower $800. Each radiates about 3 km. Then there’s the receivers which need to be in the main vehicles and machinery in use at that time of the year. These cost $450 each and are able to be changed between machines for the different operations during the year.

The property is 6 km wide along the front and almost 3 km deep. The house is near the back of the property and at one end.

The decision of where to place the repeater towers makes for a brilliant realistic mathematics problem. Google maps allows the measurement of distances as one solution. Then there’s a scale map and a pair of compasses as another.

In reality there is the added complication of terrain and interference from trees but there are ways to check this out before the tower installation.

This is new technology. I think my brother is the 5th property the installer has done. It has revolutionised his communication powers. We can now text one another, which most people take for granted but we haven’t been able to do until now.. We had our first FaceTime call about 3 weeks ago.

The best feature is that he can now communicate with visitors to the farm, who may be commercial carriers of stock or grain. This will save a lot of time waiting for them to arrive when there are unexpected delays. Previously there’s been no way of their being in touch with the paddock unless they are close (within a few km) and able to use the two way radio.

The blue dot marks the house in the image below.

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Estimating Wheat Yield

15 10 2017

I recently looked at the growing wheat, in a variety of paddocks, with my brother.


Notice how the tip of the head on the left, has been hit by a severe frost and will only have grain in the lower part of the head, if there’s enough moisture to allow the grain to fill. The middle head is from a different variety, which has a shorter growing time and so the impact of the frost is not as noticeable. The head on the right is a third variety developed for dry conditions. Notice how the lower part of the head is filling wider than the other two.

I then asked how he estimated yield before harvesting.

Being old school he has some quick estimations. Take an average square foot (30cm by 30cm). Count the number of grains. Every 26 grains is 1 bushel. 3 bushels equates to 1 bag. 12 bags equates to 1 ton. The difference between a ton (1016 kg) and the current tonne (1000 kg) is 16 kilograms. This is insignificant in that the whole process is only an estimate anyhow, and yield varies across the paddock. The only precise measurement is what was harvested. This yield is per acre and there are 2.5 acres per hectare. Wow. What a calculation!

There are other methods here but they use a square metre which is more counting than a square foot. 





The 400-year-old Kepler Conjecture that your local greengrocer knows how to solve

22 06 2017

This afternoon the second meeting of the “Mathematics Matters @ UTS” Club will occur. 

I intend to share this article with those attending, as I endeavour to foster the enthusiasm I hold for many things mathematical.





Imaginary Oil Spill Mathematics Lesson by Nanci Hutson

3 02 2017

Here’s an idea connecting Measurement to its applications in the adult world.