Mathematical Reasoning Mock Test 9: 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

  • Venn Diagrams: Overlaps, unions, and logical counts from sets.
  • Ratios: Part-part and part-whole relationships in applied settings.
  • Speed, Distance, Time: Applying S=D×T and unit consistency.
  • Profit & Loss: Revenue, cost, and margin reasoning in scenarios.
  • Logical Deduction: Using given constraints to eliminate impossible answers.
  • Graph Interpretation: Reading scales, trends, and values from charts and tables.
  • Decimals: Place value, rounding, and decimal operations under time pressure.

Sample Questions from Test 9

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

Mathematical Reasoning

A pie chart shows a budget: 35% Rent, 25% Food, 15% Travel. If the remaining $1,500 is spent on Savings, what…

Question 1 · Multiple choice

Question

A pie chart shows a budget: 35% Rent, 25% Food, 15% Travel. If the remaining $1,500 is spent on Savings, what is the total budget?

Options

  • A. $4,500
  • B. $5,000
  • C. $6,000
  • D. $7,500
  • E. $10,000

Correct answer

C. $6,000

Explanation

First work out the total percentage already listed. 35% + 25% + 15% = 75% So the percentage left is: 100% - 75% = 25% We are told this 25% is worth $1500. So 1% is: 1500 / 25 = 60 Now find 100%: 60 x 100 = 6000 So the total amount is $6000.

Mathematical Reasoning

A number is multiplied by 5, then 18 is subtracted. The result is the same as if the number was multiplied by…

Question 2 · Multiple choice

Question

A number is multiplied by 5, then 18 is subtracted. The result is the same as if the number was multiplied by 3 and 4 was added. What is the number?

Options

  • A. 8
  • B. 9
  • C. 10
  • D. 11
  • E. 12

Correct answer

D. 11

Explanation

Start with the equation: 5x - 18 = 3x + 4 Subtract 3x from both sides: 2x - 18 = 4 Add 18 to both sides: 2x = 22 Divide by 2: x = 11 So the answer is 11.

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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