Mathematics Faculty

From the Co-ordinator of Mathematics

Welcome back to Term 2!

Before we get straight into our first 'Numbers' game for Term 2, here is a reminder of how it works:

In the 'Numbers' game, we randomly generate 6 numbers made up of 'small' and 'large' numbers. Small numbers are between 1 and 10 inclusive, and large numbers are 25, 50, 75 or 100. All large numbers will be different, so at most four large numbers may be chosen. You will be required to use arithmetic on some or all the numbers to get as close as possible to a randomly generated three-digit target number. Fractions are not allowed - only whole numbers may be used at any stage of the calculation.

Term 2 - 'Numbers' Problem #4

Please send through your solutions to maths@tphs.nsw.edu.au.

Note: Solutions will be published in HouseUpdate Week 3.

If you struggle to wait for my next problem, then I have a ‘solution’ for you. The New York Times have come up with a similar game called Digits. This is a numerical response to the popular game 'Wordle'.

Check it out through this link: Digits: A Daily Math Puzzle - The New York Times (nytimes.com)

Mathematics 'Problem of the Week'

Reminder of how the 'Problem of the Week' works:

Every two weeks in the HouseNews school newsletter, we release our 'Problem of the Week' that all members of our school community (parents and carers included!) are invited to participate in. There are two levels of questions: the 'Green' question is a little easier, and the 'Red' question is slightly more challenging. Solutions will be posted in the following weeks' HouseUpdate.

There are two ways you can submit your answers - either send them in to your Mathematics teacher (or your childs' Mathematics teacher if you are a parent!) or your can also send answers in to maths@tphs.nsw.edu.au

At the conclusion of each term, the individual who sends in the highest number of correct solutions will receive a $10 gift card.

Term 1 winners were: Jack (P3), for the most correct answers from the GREEN problems and Ashton (P6), for the most correct answers from the RED problems!

Happy problem solving everyone!

GREEN PROBLEM - Week 2: In California, a bottle of orange juice costs $3, but when you return the bottle, you get $2 back. 

What is the largest number of bottles you can buy if you start with $10?

RED PROBLEM - Week 2: Three rectangles are lined up horizontally as shown below.

The first rectangle has a width of 2cm and a length of 4cm. The second rectangle has a width of 4cm and a length of 8cm. The third rectangle has a width of 8cm and a length of 16cm.

A straight line joins the bottom left corner to the top right corner. What is the area of the green shaded region?