ATARMAxxing · Essential Mathematics
SACE Essential Mathematics Practice Exams with Worked Solutions
20 full-length papers · worked solutions for every question
The 20 practice exams inside the SACE Essential Mathematics Mastery Pack, each set out like the real paper with a separate worked-solution guide. Open any paper to see what it covers.
- Simpson's rule for an irregular dam surface, including the zero offsets at each end
- Right-angled trigonometry for the rise and rafter length of a roof truss
- Stratified sampling of a workplace and the explanation of one source of bias
- Comparing two machine output samples using mean, interquartile range and standard deviation
- Future-value annuity for a vehicle deposit and the interest actually earned
- Surface area and paint quantity for a cylindrical water tank
- Cosine rule applied to a non-right-angled paddock boundary
- Stem-and-leaf comparison of two sets of delivery times
- Least squares regression of fertiliser rate against fruit yield
- Reducing-balance car loan: minimum repayment and total interest paid
- Composite perimeter and fencing cost for an L-shaped block
- Volume, capacity and density of a delivered load of garden soil
- Systematic sampling on a production line and the coverage error it can hide
- Box-and-whisker plots and what the quartiles say about 25% of the data
- Simple interest compared with compound interest on the same lump sum
- Sine rule for a surveyed triangular allotment
- Sector area and arc length for a curved garden edge
- Self-selected online survey and non-response error
- Pearson's r, the coefficient of determination and a strong negative association
- Superannuation built from quarterly contributions over a working life
- Angle of depression from a crane jib to a load on the ground
- Surface area and volume of a silo with a conical top using supplied formulae
- Census versus sample: cost, time and the quality of the estimate
- Removing an outlier and the effect on the strength of the relationship
- Inflation-adjusted savings target twelve years ahead
- Simpson's rule where the offsets include a zero at one end only
- Mass and density of a steel plate and the number of transport loads
- Sample size and how closely the sample mean tracks the population mean
- Interpolation and extrapolation from a fitted line of best fit
- Interest-minimising strategies on a home loan
- Pythagoras in three dimensions for a diagonal brace
- Area of a composite tiled floor with an allowance for wastage
- Measurement error introduced by a poorly calibrated instrument
- Resistant and non-resistant measures applied to a skewed data set
- Present-value annuity: how many months a pension account will last
- Trapezium approximation compared with Simpson's rule for a block of land
- Capacity of a rainwater tank expressed in litres and in kilolitres
- Simple random sampling using a random number generator
- Comparing spread with standard deviation and with interquartile range
- Choosing between a simple-interest account and a compound-interest account
- Converting between square metres, hectares and acres
- Cosine rule used to find an obtuse angle in a kite frame
- Survey question wording and the bias it introduces
- Building a scatter plot and describing direction, form and strength
- Effect of changing the deposit frequency on a savings annuity
- Arc length and perimeter of a running track with semicircular ends
- Surface area of a sphere and of a hemisphere using the supplied formulae
- Stratified sample proportions across year levels in a school
- Coefficient of determination read as a percentage of variation explained
- Outstanding loan balance after a period of higher repayments
- Angle of elevation to the top of a communications tower
- Volume of a triangular prism roof space and its capacity
- Combining two samples and the resulting change in the sample mean
- Reading quartiles and the median from a supplied box plot
- Tax on interest earned and its effect on the real return
- Estimating an irregular area by decomposition into simple shapes
- Density used to find the mass of gravel for a trailer load
- Advantages and disadvantages of the four sampling methods
- Predicting from a least squares line and judging the reliability of the prediction
- Choosing between two loans using published comparison rates
- Perimeter of a composite shape with a semicircular end
- Practical bearing problem solved with the sine rule without the ambiguous case
- Non-response error in a postal survey
- Stem-and-leaf plot with a chosen stem size and a stated key
- Time taken to repay the remainder of a loan after a change of repayment
- Surface area to be painted on a cylinder that is partly unpainted
- Converting cubic centimetres to millilitres for a moulded product
- Identifying the dependent and the independent variable in a study
- Correlation without causation in a workplace data set
- Regular deposits needed to reach a stated future value
- Pythagoras and trigonometry combined in an access ramp design
- Simpson's rule applied to a swimming-pool surface
- Sampling error and how it differs from measurement error
- Comparing two distributions using mean, median and range
- Effect of an interest-rate change on a superannuation balance
- Area of a parallelogram and a trapezium in a frame design
- Capacity of a cylindrical vat and the number of fills it allows
- Designing a survey so that coverage error is avoided
- Drawing and labelling parallel box plots on a common axis
- Total interest paid over the life of a reducing-balance loan
- Angle between two rafters found with the cosine rule
- Surface area of a square-based pyramid using the supplied formula
- Choosing a sampling method for a business with distinct departments
- Effect of one erroneous data point on r and on the line of best fit
- Lump sum needed now to produce a stated future value
- Composite area with a circular cut-out removed
- Mass, volume and density of a concrete footing
- Interpreting a stratified calculation that does not give a whole number
- Using the coefficient of determination to decide whether prediction is justified
- Comparing monthly and fortnightly repayments on the same loan
- Finding a diameter by reversing the circumference formula from a measured perimeter
- Volume of a composite solid made of a prism and a half-cylinder
- Explaining the impact of a biased sample on the conclusion drawn
- Reading a value from a regression equation and checking it is plausible
- Interest earned by a future-value annuity over thirty years
- Trigonometric ratios used to find a missing angle in a truss
- Area of an irregular garden bed from offsets at equal spacing
- Comparing consistency between two years of sales data
- Describing an association as negative, strong and linear
- Effect of shortening the loan term on the total interest paid
Included in the SACE Essential Mathematics Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
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