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Skill map
Year 10 Mathematics
Consumer arithmetic
Chapter 2
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Equivalent fractions
CH 4
Percentages
Profit, mark-up and discount
Income, wages and commission
Income taxation
Budgeting and best buys
Simple interest
Compound interest
Purchase repayments and bank interest
Comparing simple and compound interest
Percent as parts per hundred
Convert a fraction to a percentage
Convert a decimal to a percentage
Convert a percentage to a fraction
Convert a percentage to a decimal
Percentage of a quantity
Express one quantity as a percentage of another
Simplify a fraction
Multiply and divide fractions
Rounding
Decimal place value
Multiplication and division
Compute profit or loss as selling price minus cost price, and express it as a percentage of the cost price
Find the selling price from a cost price and a desired profit percentage, and total the profit on a batch
Compute the discount amount and sale price from an original price, express the discount as a percentage, and recover the original price
Apply a percentage increase or decrease
Calculate a percentage change
Percentage change as a multiplier
Find the original amount from a percentage
Signed numbers
Classify a pay arrangement, compute gross and net income, and convert between weekly, fortnightly, monthly and annual pay
Compute pay from segmented time bands at ordinary, overtime and shift rates without double-counting hours
Compute commission as a percentage of a sales total and gross income as a fixed retainer plus commission
Unitary method
Compute taxable income as gross income minus allowed deductions, identifying income and deduction amounts
Locate the correct bracket, compute tax payable with its fixed amount and marginal rate, add the Medicare levy and determine refund or liability
Substitute known values into a formula and evaluate it correctly
Allocate a stated income across categories by percentages, computing each category amount and the savings remaining
Annualise a set of fixed periodic expenses, total them, compute a per-payment or per-week amount, and express a component as a percentage of income
Compare unit prices to find the best buy
Convert between units
Apply I = Prt/100 to compute interest and total amount with time converted to years
Rearrange I = Prt/100 to determine an unknown principal, annual rate or time from the other three values
Compute the total amount owed on a simple-interest loan and the equal periodic repayment
Solve a one-step linear equation
Apply A = P(1 + r/100)^n for annual compounding to compute amount and interest, and build the repeated-simple-interest table
Convert an annual rate and a time in years into a per-period rate and number of periods, and apply them in the compound formula
Apply the unitary method to a rate
Compute the deposit, total instalments, total cost and interest charged for a purchase on terms
Compute interest credited on a minimum monthly balance, subtract account fees, and state the net amount as a credit or debit
Compute simple- and compound-interest final amounts for the same principal, annual rate and term, and decide which plan is better for a saver or borrower