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Year 11: Mathematics Applications ATAR

Listed Mathematics syllabus content points at Year 11 · Units 1 and 2, in the words of the School Curriculum and Standards Authority (SCSA), Western Australia, with the practice on this site that covers it. Checked against the source on 4 September 2026.

For teaching from 2026. Mathematical notation is flattened out of the syllabus PDF, so fractions and indices read on one line here. The wording is the syllabus's own.

  • 49syllabus content points
  • 49skills mapped
  • 96%have practice

Coverage is the percentage of listed syllabus content points with at least one linked practice skill; it does not measure how fully every part of an entry is practised. A skill can practise more than one syllabus content point, so some appear more than once below.

Topic 1.1: Consumer arithmetic

  1. 1.1.1calculate weekly or monthly wage from an annual salary, wages from an hourly rate, including situations involving overtime and other allowances, and earnings based on commission or piecework

  2. 1.1.2calculate payments based on government allowances and pensions

  3. 1.1.3prepare a personal budget for a given income taking into account fixed and discretionary spending

  4. 1.1.4compare prices and values using the unit cost method

  5. 1.1.5apply percentage increase or decrease in contexts, including determining the impact of inflation on costs and wages over time, calculating percentage mark-ups and discounts, calculating GST, calculating profit or loss in absolute and percentage terms, and calculating simple and compound interest

  6. 1.1.6use currency exchange rates to determine the cost in Australian dollars of purchasing a given amount of a foreign currency, or the value of a given amount of foreign currency, when converted to Australian dollars

  7. 1.1.7calculate the dividend paid on a portfolio of shares given the percentage dividend or dividend paid for each share, and compare share values by calculating a price-to-earnings ratio

  8. 1.1.8use a spreadsheet to display examples of the above computations when multiple or repeated computations are required; for example, preparing a wage-sheet displaying the weekly earnings of workers in a fast food store where hours of employment and hourly rates of pay may differ, preparing a budget, or investigating the potential cost of owning and operating a car over a year

    No practice for this one yet.

Topic 1.2: Algebra and matrices

  1. 1.2.1substitute numerical values into algebraic expressions, and evaluate (with the aid of technology where complicated numerical manipulation is required)

  2. 1.2.2determine the value of the subject of a formula, given the values of the other pronumerals in the formula (transposition not required)

  3. 1.2.3use a spreadsheet or an equivalent technology to construct a table of values from a formula, including tables for formulas with two variable quantities; for example, a table displaying the body mass index (BMI) of people of different weights and heights

    No practice for this one yet.

  4. 1.2.4use matrices for storing and displaying information that can be presented in rows and columns; for example, databases, links in social or road networks

  5. 1.2.5recognise different types of matrices (row, column, square, zero, identity) and determine their size

  6. 1.2.6perform matrix addition, subtraction, multiplication by a scalar, and matrix multiplication, including determining the power of a matrix using technology with matrix arithmetic capabilities when appropriate

  7. 1.2.7use matrices, including matrix products and powers of matrices, to model and solve problems; for example, costing or pricing problems, squaring a matrix to determine the number of ways pairs of people in a communication network can communicate with each other via a third person

Topic 1.3: Shape and measurement

  1. 1.3.1use Pythagoras’ theorem to solve practical problems in two dimensions and for simple applications in three dimensions

  2. 1.3.2solve practical problems requiring the calculation of perimeters and areas of circles, sectors of circles, triangles, rectangles, parallelograms and composites

  3. 1.3.3calculate the volumes of standard three-dimensional objects, such as spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations, for example, the volume of water contained in a swimming pool

  4. 1.3.4calculate the surface areas of standard three-dimensional objects, such as spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations; for example, the surface area of a cylindrical food container

  5. 1.3.5review the conditions for similarity of two-dimensional figures, including similar triangles

  6. 1.3.6use the scale factor for two similar figures to solve linear scaling problems

  7. 1.3.7obtain measurements from scale drawings, such as maps or building plans, to solve problems

  8. 1.3.8obtain a scale factor and use it to solve scaling problems involving the calculation of the areas of similar figures and surface areas and volumes of similar solids

Topic 2.1: Univariate data analysis and the statistical investigation process

  1. 2.1.1review the statistical investigation process; identifying a problem and posing a statistical question, collecting or obtaining data, analysing the data, interpreting and communicating the results

  2. 2.1.2classify a categorical variable as ordinal, such as income level (high, medium, low) or nominal, such as place of birth (Australia, overseas) and use tables and bar charts to organise and display data

  3. 2.1.3classify a numerical variable as discrete, such as the number of rooms in a house, or continuous, such as the temperature in degrees Celsius

  4. 2.1.4with the aid of an appropriate graphical display (chosen from dot plot, stem plot, bar chart or histogram), describe the distribution of a numerical data set in terms of modality (uni or multimodal), shape (symmetric versus positively or negatively skewed), location, spread and outliers, and interpret this information in the context of the data

  5. 2.1.5determine the mean and standard deviation of a data set using technology and interpret these statistics as measures of location and spread of a data distribution, being aware of their limitations

  6. 2.1.6use the number of deviations from the mean (standard scores) to describe deviations from the mean in normally distributed data sets

  7. 2.1.7calculate quantiles for normally distributed data with known mean and standard deviation in practical situations

  8. 2.1.8use the 68%, 95%, 99.7% rule for data one, two and three standard deviations from the mean in practical situations

  9. 2.1.9calculate probabilities for normal distributions with known mean  and standard deviation  in practical situations

  10. 2.1.10construct and use parallel box plots (including the use of the ‘Q1 – 1.5 x IQR’ and ‘Q3 + 1.5 x IQR’ criteria for identifying possible outliers) to compare groups in terms of location (median), spread (IQR and range) and outliers, and interpret and communicate the differences observed in the context of the data

  11. 2.1.11compare groups within a single numerical variable using medians, means, IQRs, ranges or standard deviations, as appropriate; interpret the differences observed in the context of the data and report the findings in a systematic and concise manner

  12. 2.1.12implement the statistical investigation process to answer questions that involve comparing the data for a numerical variable across two or more groups; for example, are Year 11 students the fittest in the school?

Topic 2.2: Applications of trigonometry

  1. 2.2.1use trigonometric ratios to determine the length of an unknown side, or the size of an unknown angle in a right-angled triangle

  2. 2.2.2determine the area of a triangle, given two sides and an included angle by using the rule 𝑎𝑟𝑒𝑎 = (1/2)𝑎𝑏 sin 𝐶, or given three sides by using Heron’s rule, and solve related practical problems

  3. 2.2.3solve problems involving non-right-angled triangles using the sine rule (acute triangles only when determining the size of an angle) and the cosine rule

  4. 2.2.4solve practical problems involving right-angled and non-right-angled triangles, including problems involving angles of elevation and depression and the use of bearings in navigation

Topic 2.3: Linear equations and their graphs

  1. 2.3.1identify and solve linear equations (with the aid of technology where complicated manipulations are required)

  2. 2.3.2develop a linear equation from a word description, solve the equation and interpret the result

  3. 2.3.3construct straight-line graphs both with and without the aid of technology

  4. 2.3.4determine the slope and intercepts of a straight-line graph from both its equation and its plot

  5. 2.3.5construct and analyse a straight-line graph to model a given linear relationship; for example, modelling the cost of filling a fuel tank of a car against the number of litres of petrol required.

  6. 2.3.6interpret, in context, the slope and intercepts of a straight-line graph used to model and analyse a practical situation

  7. 2.3.7solve a pair of simultaneous linear equations graphically or algebraically, using technology when appropriate

  8. 2.3.8solve practical problems that involve determining the point of intersection of two straight- line graphs; for example, determining the break-even point where cost and revenue are represented by linear equations

  9. 2.3.9sketch piece-wise linear graphs and step graphs, using technology when appropriate

  10. 2.3.10interpret piece-wise linear and step graphs used to model practical situations; for example, the tax paid as income increases, the change in the level of water in a tank over time when water is drawn off at different intervals and for different periods of time, the charging scheme for sending parcels of different weights through the post

Other Year 11 skills

Year 11 skills not currently linked to an entry on this page. These may include revision, extension practice, or skills still awaiting a curriculum mapping.

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