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How will changes to the GST impact your family?
In this investigation you will consider what effect it would have on families if the GST increased to 12.5%, 15% or even 20%. What effect would it have if every item was subject to GST?
Part A: Raising the GST
A packet of crackers has a price tag of $3.50. What was its price before GST was added? If you need help, refer to Calculating GST at 10 percent – How-to-sheet.
Which method did you use to work it out?
Price/11*10…
InvestigationMathematicsYear 8Reforming Australia’s income tax system
Stage 3 Tax CutsChanges to Australia’s taxation system were legislated by the Australian Parliament in 2019. The first 2 stages were implemented on the 25 January 2024, the government announced changes to individual income tax rates and thresholds from 1 July 2024.From 1 July 2024, the tax cuts:reduced the 19 per cent tax rate to 16 per centreduced the 32.5 per cent tax rate to 30 per centincreased the threshold above which the 37 per cent tax…
ExplainerMathematicsYear 8Changes to the income tax system
Part 1: Constructing and reading a piecewise graphUse the tax rates tables in the explainer to construct a piece-wise graph to represent tax rates at each bracket before and after the tax cuts on 1 July 2024. Remember, the point of origin of your piece-wise graph for both income tax systems will begin at $18,200.Use your graph to estimate how much tax a person would pay on the following incomes and their average rate of tax, before and after the…
InvestigationMathematicsYear 8Saving versus Investing
What is the difference between saving and investing?
Have you ever saved up to buy something? Maybe you are putting money aside now to buy something important to you. Money can also be saved for a rainy day, or unexpected expenses or events. Putting money aside into a savings account offers security or a sense of comfort regarding the future.
If you save your money in a bank, you begin with a deposit and contribute regular amounts over time.…
ExplainerMathematicsYear 8Simple saver
Part 1: The difference between saving and investingIn your groups, complete the following tables. SavingInvestingDefinitionHow does it work?Purpose SavingInvestingRewardReturnRiskTrade-offsPart 2: Savings and InvestmentsComplete the following table using the Simple Interest formula.PrincipalRateTimeInterestAmountEg. $20004.5%2 years$180$2,180$5,0006%4 years4.5%3 years 6 months$1,2603%pa36 months$108$12,0005 years$16,800Part 3: Loan…
WorksheetMathematicsYear 8Absolute, relative and percentage errors
Linked activity:
The Budget and forecasting
VisualiserMathematicsYear 9Budget forecasting - Errors and exaggerations
Part 1: Calculating and interpreting absolute, relative and percentage errors
Refer to the data table in The Budget and forecasting data sheet. If possible, use spreadsheets to assist you with the following calculations.
For both the Government revenue and spending calculate the:
Absolute error
Relative error
Percentage error
For both the Government revenue and spending determine if the estimate was an…
WorksheetMathematicsYear 9The Budget and forecasting
Definitions
To help you understand the data in this sheet, the following definitions have been provided.
The Budget
Outlines what the government estimates it will receive in revenue and how much it expects to spend each year. Typically, the Budget is released by the government on the second Tuesday of May.
Final Budget Outcome
Shows how much the government actually spent or received rather than how much it expected to spend or receive, and…
Data sheetMathematicsYear 9