LANTITE Numeracy: Which Formulas You Need to Know

One of the most common questions candidates ask before the LANTITE numeracy test is: "Do I need to memorise formulas?" The short answer is no, not many. But knowing which formulas are provided, which ones you are expected to recall, and how to apply all of them fluently is what separates a passing score from a failing one.

What ACER Says About Formulas

The ACER Skills and Content Guide states that measurement questions use "routine formulae," and in most cases the formula is provided within the question. This is deliberate. LANTITE is not testing rote memorisation. It is testing whether you can read a formula, understand what each part means, substitute the correct values, and calculate an accurate result.

That distinction matters. A candidate who has drilled formula lists but cannot interpret a table or apply a given formula to an unfamiliar context will still struggle. A candidate who understands what area, volume, and percentage actually represent will handle both the familiar and the unexpected.

Formulas That Are Typically Provided

Based on the Skills and Content Guide, the following formula types fall under "routine formulae" for measurement and geometry questions, and are generally supplied in the question itself:

• Area formulas for shapes beyond rectangles (triangles, circles, composite shapes)
• Volume formulas for three-dimensional objects (prisms, cylinders)
• Any algebraic formula specific to a given scenario (for example, a cost formula or a conversion formula presented in the question stem)

You will not be penalised for not having these memorised because ACER builds the question around providing them. Your job is to use them correctly.

What You Do Need to Know Without Being Prompted

There are core formulas and relationships you should have at your fingertips because they underpin so many questions across the number, algebra, and measurement content areas. These are not unusual formulas. They are the kind of routine operations the Skills and Content Guide specifically names:

• Area of a rectangle: A = L x W. Simple, but misapplication (for example, confusing length with perimeter) costs marks.
• Perimeter: the sum of all side lengths. For rectangles, P = 2L + 2W. Know this without hesitation.
• Percentage formula: Percentage = (part / whole) x 100. You will use this constantly across statistics, budgeting, and data interpretation questions.
• Percentage of an amount: Multiply the amount by the decimal equivalent (for example, 15% of 240 = 0.15 x 240).
• Basic volume of a rectangular prism: V = L x W x H. Even if a question provides a more complex formula, knowing this one lets you check your setup.
• Ratio and proportion relationships: If A:B = 3:5 and A is 120, then B = (5/3) x 120. The Skills and Content Guide lists proportional reasoning explicitly as a core numeracy skill.
• Simple interest: I = P x R x T. Budgeting, interest, and GST questions appear regularly in the number and algebra strand, which makes up 40-50% of the test.

Algebra at Level 4: Routine Representations

The Skills and Content Guide describes Level 4 algebra tasks as involving "routine algebraic representations." In practice this means substituting values into a given formula, rearranging a simple equation to solve for one unknown, and recognising how a formula models a real-world situation (such as a pay rate or a unit cost). You are not expected to factorise quadratics or work with complex algebraic manipulation. Focus on confident substitution and one-step or two-step rearrangement.

Section 2: No Calculator, Routine Operations Only

The numeracy test has two sections. Section 1 gives you 52 questions with an online calculator. Section 2 gives you 13 questions with no calculator, only scratch paper and a pen. Once you move to Section 2, you cannot return to Section 1.

The Skills and Content Guide is explicit about Section 2: it covers "common numbers, fractions, percentages" using "familiar and routine operations only" with "a small number of steps." No complex formula work appears in Section 2. The questions are designed to be solvable by a competent adult without computational aids. What this means for your preparation:

• Practise mental calculation with percentages (10%, 25%, 50% of round numbers).
• Practise fraction arithmetic: adding, comparing, and converting fractions to decimals without a calculator.
• Do not waste time drilling obscure formula recall for Section 2. The questions will not require it.

How to Prepare Effectively

The most effective approach is to practise applying formulas in context, not memorising them in isolation. Work through questions that give you a formula and ask you to use it. Pay attention to units. Measurement and geometry questions regularly involve metric conversions (centimetres to metres, grams to kilograms) that can derail an otherwise correct calculation. The Skills and Content Guide lists metric conversions as a named skill within the measurement strand.

Also practise reading tables and graphs alongside formula-based questions. Statistics and probability accounts for 25-35% of the numeracy test, and many of those questions require you to extract values from a dataset before applying a percentage or ratio formula. The formula is the easy part. Identifying the correct values from a graph or table is where candidates lose marks.

All facts on this page are sourced directly from teacheredtest.acer.edu.au. For the latest information, always refer to the ACER website.