Essential Mathematics: should I choose it?

What will I learn?

How will I be assessed?

Progression and companion subjects

No complete companion or exclusion review is attached to this profile. Check the official course-entry conditions, language eligibility and your school’s sequence before enrolling. Links between resource hubs show related learning; they do not establish a compulsory prerequisite.

Will I find it hard?

Difficulty depends on your experience, interests, teaching and assessment. These are our reflection prompts, not an official difficulty rating.

• How do you feel about explaining a method and working through unfamiliar multi-step problems?
• Try the sample without looking at a worked answer, then check the steps you need to practise.

Does it scale up or down?

Table 6 of QTAC’s 2025 report publishes separate raw and scaled subject medians for General subjects with at least 50 students. No exact course match is attached to this profile. Check the official report; do not infer a direction.

Scaling is not a measure of difficulty or a guaranteed bonus. Prioritise content you can engage with and required subjects for courses you are considering.

Try a little of the subject

Fundamental topic: Calculations

Almost every practical calculation is built from the four basic operations: addition, subtraction, multiplication and division. The skill is deciding which operation a situation needs. Words such as total , altogether and increase usually signal addition. Words such as difference , change and left over signal subtraction. Each , per and times usually signal multiplication, while share , split equally and how many fit signal division. Before touching a calculator, read the problem twice, underline the numbers and units, and write a short plan such as "cost of coffees + cost of muffins, then divide by the number of staff". When an expression contains more than one operation, the answer depends on the order in which you work. Mathematicians agree on one order so that everyone gets the same result. Remember it as BODMAS (or BIDMAS, or PEMDAS in some books): B rackets (and anything grouped, such as the top and bottom of a fraction bar) first. O rders (indices): squares, cubes and square roots next. D ivision and M ultiplication together, working from left to right. A ddition and S ubtraction together, working from left to right. The most common confusion is thinking that multiplication always comes before division, or addition always before subtraction. They do not. Division and multiplication share the same level, so you move left to right. For example, 24 ÷ 4 × 3 is 6 × 3 = 18, not 24 ÷ 12 = 2. In the same way, 10 − 3 + 2 is 7 + 2 = 9, not 10 − 5 = 5. Setting your working out clearly makes errors easier to find. Write one line per step, copy down everything you have not yet used, and change only the part you are working on. Keep the equals signs lined up under each other. If an answer involves money, keep two decimal places during the working and round only at the end. Pra

Original practice question: Evaluate 8 + 6 × 3 − 4 ÷ 2.

This is ATARMAxxing’s original sample learning material. It is not an official assessment task or a prediction of your school’s workload.

Explore the resources

Open the Essential Mathematics subject hub and free preview (opens in a new tab)

• Essential Mathematics — QCE Applied (Essential) Units 3 & 4 (opens in a new tab)

Core subject information and planning are free. Full study resources are optional.