Mathematical Reasoning Mock Test 12: 2026 NSW Selective Format

Build fluency with multi-step problems, diagrams, and data interpretation in our 35-question mock test—aligned to the Janison-style NSW Selective Mathematical Reasoning paper.

Duration

40 Minutes

Format

2026 NSW Format

Questions

35 multiple-choice

Level

Official Selective Test Level

Skills Covered in this Test

This mock test mirrors the official weightings of the NSW Department of Education exam.

The breakdown

  • Graph Interpretation: Reading scales, trends, and values from charts and tables.
  • Mean, Median & Mode: Choosing and computing the right average for the data.
  • Venn Diagrams: Overlaps, unions, and logical counts from sets.
  • Percentages: Discounts, changes, and comparisons expressed as percent.
  • Ratios: Part-part and part-whole relationships in applied settings.
  • Multi-step Word Problems: Breaking down scenarios into equations and checking reasonableness.

Sample Questions from Test 12

The first two questions of this mock test (same order and wording as the timed exam).

Mathematical Reasoning

A cordial drink is mixed in the ratio 1 part syrup to 4 parts water. If you make 2.5 liters of the drink, how…

Question 1 · Multiple choice

Question

A cordial drink is mixed in the ratio 1 part syrup to 4 parts water. If you make 2.5 liters of the drink, how much syrup was used?

Options

  • A. 0.4 liters
  • B. 0.5 liters
  • C. 0.6 liters
  • D. 0.8 liters
  • E. 1.0 liters

Correct answer

B. 0.5 liters

Explanation

The ratio of syrup to water is 1 : 4. That means there are: 1 + 4 = 5 equal parts altogether. The total drink is 2.5 litres. So 1 part is: 2.5 / 5 = 0.5 litres The syrup is 1 part, so the amount of syrup is: 0.5 litres So the syrup amount is 0.5 litres.

Mathematical Reasoning

In a frequency table of shoe sizes: Size 6 has 4 students, Size 7 has 8, and Size 8 has 3. What is the total …

Question 2 · Multiple choice

Question

In a frequency table of shoe sizes: Size 6 has 4 students, Size 7 has 8, and Size 8 has 3. What is the total number of students surveyed?

Options

  • A. 15
  • B. 18
  • C. 21
  • D. 24
  • E. 27

Correct answer

A. 15

Explanation

Add the numbers: 4 + 8 + 3 = 15 So the answer is 15.

Core Competencies

3D NetsAlgebraic SubstitutionsAngle PropertiesArea & PerimeterCartesian CoordinatesDecimalsFractionsGraph InterpretationInverse OperationsLogical DeductionMean, Median & ModeMental ArithmeticMulti-step Word ProblemsNumber SequencesOrder of OperationsPercentagesPrime NumbersProbability LogicProfit & LossRatiosReflection & RotationSpeed, Distance, TimeSquare & Cube NumbersSymmetryTime & CalendarsUnit ConversionsVenn DiagramsVolume & Capacity

Prepare with Precision

  • Sharpen accuracy on multi-step and diagram-based items.
  • Get comfortable with the Janison-style interface.
  • Identify topics to revisit before exam day.

This public page is designed so students and parents get rich, accurate information about the test structure and skills assessed. The full timed mock—including the rest of the 35 questions, scoring, and detailed review—is available to enrolled members after sign-in, matching how premium preparation platforms balance discoverability with protected content.

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