QR vs Maths - Why They Are Different on the Selective Entry Exam

Quantitative reasoning is one of the most misunderstood parts of the Victorian selective entry exam. Many parents assume that Section 1 is simply "the maths section" and focus all their child's preparation on traditional mathematics topics. But the section is called Mathematics and Quantitative Reasoning - and the QR component tests a fundamentally different set of skills.

This guide explains what quantitative reasoning actually is, how it differs from standard maths, the types of questions your child will face, and proven strategies for each one. If your child has been preparing for maths but not for QR specifically, this article shows you what is being missed and how to fix it.

What is quantitative reasoning?

Quantitative reasoning is the ability to use logic and reasoning to solve problems involving numbers, patterns, data and spatial relationships. Unlike traditional maths, QR does not rely on memorised formulas, practised procedures, or specific topic knowledge. Instead, it tests whether a student can:

• Identify patterns and relationships in numbers and shapes
• Interpret information presented in tables, charts and diagrams
• Apply logical thinking to unfamiliar problems
• Make deductions based on numerical information
• Recognise sequences and predict what comes next

In simple terms, maths tests what you have learned. Quantitative reasoning tests how you think with numbers. A student who is excellent at school maths may still find QR challenging because the skills involved are different.

Quantitative reasoning vs maths - the key differences

Understanding the difference between QR and traditional maths is essential for effective SEHS exam preparation. Here is a clear comparison:

The fact that quantitative reasoning is rarely covered in the standard school curriculum is precisely why it gives prepared students an advantage. Students who dedicate specific practice time to QR develop skills that most of their peers have not practised.

Quantitative reasoning question types on the selective entry exam

While ACER does not publish a definitive list of QR question types, analysis of past exams and official sample questions reveals several recurring categories:

1. Number sequences

The student is given a sequence of numbers and must identify the pattern (the rule) to find the next number, a missing number, or which number does not belong.

Example patterns: Add 3 each time, multiply by 2, alternating +5 and -2, square numbers, triangular numbers, two interleaved sequences.

2. Number patterns in grids

Numbers are arranged in a grid (2x2, 3x3, or cross pattern) with a relationship between them. The student must identify the relationship and find the missing value.

Common relationships: Row sums equal a constant, diagonals multiply to the same product, each cell is the sum of its neighbours.

3. Data interpretation

Information is presented in a table, bar chart, pie chart, or diagram. The student must extract data, perform calculations, compare values, or draw conclusions. These questions test careful reading and logical analysis of data rather than advanced mathematical computation.

4. Logical number puzzles

These are "if-then" problems using numbers. For example: "If swapping two digits in a number makes it 36 larger, what could the original number be?" Or: "Three friends share a total. Person A has twice as much as Person B..."

5. Spatial reasoning with numbers

Patterns involving shapes, rotations, or visual arrangements where numbers play a role. These bridge the gap between visual reasoning and numerical reasoning.

6. Proportional reasoning

Problems requiring the student to identify and apply proportional relationships - not through a formula, but through logical deduction. For example, scaling recipes, interpreting maps with scales, or comparing rates.

Sample question walkthroughs

Strategies for each quantitative reasoning question type

For number sequences

• Calculate the difference between consecutive terms first (is it constant? increasing? alternating?)
• If differences are not constant, check for multiplication or division patterns
• Look for two interleaved sequences (every second number follows a separate pattern)
• Check whether the sequence involves square numbers, cube numbers, or triangular numbers
• Always verify your rule works for at least three consecutive terms before selecting an answer

For grid patterns

• Check rows first (do they sum to the same number?)
• Then check columns
• Then check diagonals
• Consider multiplication relationships as well as addition
• Use completed rows or columns to establish the rule before tackling the missing value

For data interpretation

• Read all labels, axes, legends and footnotes before attempting the question
• Underline exactly what the question is asking for
• Be careful with scale - a bar chart axis that starts at 50 (not 0) can make differences look larger than they are
• Show your calculations even for simple questions - data interpretation errors are usually arithmetic errors, not reasoning errors

For logical puzzles

• Translate the words into numbers or equations
• Try working backwards from the answer options if you are stuck
• Draw diagrams or tables to organise the information
• Check your answer against all the conditions in the question, not just one

Common mistakes in quantitative reasoning

Students who are strong in traditional maths sometimes struggle with QR because they approach it the wrong way. Here are the most common errors:

• Trying to use formulas: QR questions rarely require formulas. If you are reaching for a memorised procedure, you are probably overthinking it. Look for the pattern instead.
• Only checking one relationship: In grid questions, students often find one pattern (rows add up) and stop checking. Always verify with at least two rows or columns.
• Rushing sequences: Students see the first two terms, guess a pattern, and select an answer without checking it against all given terms. Always verify your rule works for every number in the sequence.
• Ignoring the question: Data interpretation questions sometimes ask for "the difference" or "how many more" rather than "the total." Read the question carefully.
• Not attempting unfamiliar questions: QR questions are designed to look unfamiliar. Students who skip them because they "have not learned this" are missing the point - QR tests reasoning, not knowledge.

How to prepare for quantitative reasoning effectively

Effective QR preparation requires dedicated practice with the right types of questions. Here is a structured approach:

1. Start with a diagnostic

Before beginning targeted QR practice, find out where your child currently stands. The free SK Diagnostic includes quantitative reasoning questions alongside all other exam sections, giving you a baseline to work from.

2. Practise QR separately from maths

Do not mix QR practice into general maths sessions. Set aside dedicated time - even 15-20 minutes, three times a week - for QR-specific questions. This trains the distinct thinking skills that QR requires.

3. Use the QR Prep module

The SK Quantitative Reasoning Prep provides structured practice across all QR question types, with difficulty that progresses as your child improves. Each question includes a detailed explanation of the reasoning process, not just the answer.

4. Talk through the reasoning

After completing QR questions, ask your child to explain their reasoning process out loud. "How did you find the pattern? What did you try first? Why did you rule out option B?" This metacognitive practice strengthens reasoning skills more than simply checking whether the answer is right or wrong.

5. Practise under timed conditions

In the actual exam, QR questions are mixed in with maths questions in a 60-minute section. Students need to be able to switch between mathematical and reasoning thinking quickly. Full-length mock tests build this switching ability.

6. Review mistakes carefully

When your child gets a QR question wrong, the review process is more important than for maths. In maths, a wrong answer usually means a calculation error or a gap in knowledge. In QR, a wrong answer usually means the student identified the wrong pattern or relationship. Understanding why the wrong pattern seemed right is the key to improvement.

Practice resources on SK Edge Prep

• QR Prep - Dedicated quantitative reasoning practice with progressive difficulty and detailed explanations.
• Free SK Diagnostic - 50 questions across all exam sections including QR. See where your child stands.
• Maths Prep - Companion to QR Prep, covering the traditional maths topics on the SEHS exam.
• SK Mock Tests - Full-length timed exams with maths and QR combined, just like the real exam.

Frequently asked questions

Recommended tools: QR Prep Maths Prep SK FREE Diagnostic Test