Number and algebra is the largest content area in LANTITE numeracy, accounting for 40-50% of all numeracy questions. If you focus your preparation on one area first, this is it. Understanding exactly what ACER tests here, and how difficulty levels differ, will help you work smarter.
What Topics Are Covered
ACER's Skills and Content Guide specifies the following topic areas under number and algebra:
- Ratio and proportional reasoning
- Fractions, percentages, and decimals
- GST calculations
- Budgeting
- Interest calculations
- Simple formulae
Notice the practical, real-world slant. Questions are not abstract algebra problems. They are set in contexts drawn from everyday life, the community, and school or teaching settings. ACER specifies that 45-55% of numeracy questions use personal and community contexts, with a further 30-40% set in schools and teaching contexts.
Level 3 vs Level 4 Expectations
Eighty percent of LANTITE questions sit at ACSF Levels 3 and 4. Understanding what separates these levels helps you calibrate your preparation.
| ACSF Level | What it looks like in number and algebra |
|---|---|
| Level 3 | Routine operations with familiar numbers. Calculate a percentage of a given amount, find a fraction of a budget total, apply a straightforward ratio, or calculate GST by adding 10%. Steps are predictable and the path from question to answer is direct. |
| Level 4 | Multi-step reasoning with less familiar number relationships. Compare interest options across different periods, work backwards from a GST-inclusive price to find the original, apply proportional reasoning across several variables, or use a simple formula with substitution. You must select the right approach, not just execute a given one. |
The pass standard is set at the 70th percentile of the Australian adult population, validated against OECD PIAAC data. Reaching that benchmark requires solid Level 3 fluency plus reliable performance at Level 4.
Calculator vs No-Calculator Section
LANTITE numeracy is split into two sections:
- Section 1: 52 questions, calculator permitted (recommended 90-95 minutes)
- Section 2: 13 questions, no calculator (recommended 25-30 minutes)
Once Section 2 begins, you cannot return to Section 1. Scratch paper is provided for the no-calculator section.
ACER describes Section 2 as focusing on common numbers, fractions, and percentages using small steps and routine operations. In practice this means you need to be fluent with things like:
- Finding 10%, 25%, 50%, or 75% of a whole number mentally
- Converting between simple fractions and their decimal or percentage equivalents (e.g. 1/4 = 0.25 = 25%)
- Basic ratio comparisons without long division
- Recognising when a percentage increase or decrease is proportionally reasonable
The calculator section is where GST calculations on larger dollar amounts, multi-step interest problems, and formula substitution tend to appear. Having a calculator does not remove the need for conceptual understanding. You still need to know which calculation to perform.
Common Question Types
| Topic | Typical question framing | Section |
|---|---|---|
| GST | Calculate the GST component of a purchase, or find the pre-GST price from a GST-inclusive total. | Calculator (larger amounts) |
| Percentages | Percentage of a budget, percentage increase or decrease, comparing two percentage values. | Both sections |
| Fractions and decimals | Order or compare fractions, convert between forms, apply a fractional part to a real quantity. | Both sections |
| Ratio | Share a quantity in a given ratio, scale a recipe or resource, interpret a ratio in a school or community context. | Both sections |
| Interest | Calculate simple interest using a formula, compare loan or savings options across different terms. | Calculator |
| Budgeting | Allocate a total across categories, identify whether spending fits within a budget, interpret a budget table. | Calculator |
| Simple formulae | Substitute values into a given formula to find an unknown. The formula is always provided. | Calculator |
How the Three Processes Apply Here
ACER assesses three mathematical processes across the test. In number and algebra, they show up as:
- Identifying information (25-35%): Read a budget table or invoice and extract the relevant number.
- Using and applying (30-40%): Perform the calculation. This is the core of most number and algebra questions.
- Interpreting and communicating (25-35%): Decide what the answer means. Is the budget workable? Is the interest rate better or worse?
Knowing which process a question is testing helps you avoid over-calculating when the answer only requires careful reading, and avoids under-thinking when interpretation is required.
Practice Number and Algebra Questions
Work through LANTITE-style numeracy questions covering fractions, percentages, GST, ratio, and more. Both calculator and no-calculator question types included.
Start Numeracy PracticeAll facts on this page are sourced directly from teacheredtest.acer.edu.au. For the latest information, always refer to the ACER website.