Exploring maths through problem solving

Problem of the Week

Reading out loud

Reading out loud

How would you go about reading this number out loud?

Capacity percentages

Capacity percentages

3% of Burrendong Dam’s capacity is 35 640 ML. What is 144% of this dam’s capacity?

Sydney House Prices

Sydney House Prices

In last Saturday’s newspaper, an article on Sydney house prices argued that they are falling from their peak. In this table you can see that house prices in the suburb of Cabramatta have fallen by 2.27%: from a peak price of $1.1 million to a price of $1.1 million. How is this possible?

Petrol Price Comparison

Petrol Price Comparison

To compare petrol prices (cost/volume) across countries, you need to know the exchange rate for the currency (we use AUD) and use the same unit of volume (we use litres). Last week, regular petrol in New Zealand was selling for 2.859 New Zealand dollars (NZD) per litre, while in the United States regular petrol was selling for 4.699 US dollars (USD) per gallon. Which was the less expensive? (Use these conversions: 1 gallon = 3.8 L, 1 USD = 1.37 AUD, 1 NZD = 0.93 AUD)

Perimeter to Area Ratio

Perimeter to Area Ratio

What happens to the ratio of the area of these shapes compared to their perimeter, as they increase in size?

Peg Pattern

Peg Pattern

If there is 10cm between consecutive pegs within a group of 2 or 3 pegs, and there is 15cm between groups, how far is it between the first peg and the last peg pictured here? How did you work it out? If this pattern continues for 100 socks, what will be the distance between the first and last peg?

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