Mathematical Reasoning Mock Test 3: 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.
  • Ratios: Part-part and part-whole relationships in applied settings.
  • Percentages: Discounts, changes, and comparisons expressed as percent.
  • Mean, Median & Mode: Choosing and computing the right average for the data.
  • Venn Diagrams: Overlaps, unions, and logical counts from sets.
  • Logical Deduction: Using given constraints to eliminate impossible answers.

Sample Questions from Test 3

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

Mathematical Reasoning

A group of friends share a large pizza. Tom eats 1/4 of the pizza, Jerry eats 1/3 of the pizza, and Spike eat…

Question 1 · Multiple choice

Question

A group of friends share a large pizza. Tom eats 1/4 of the pizza, Jerry eats 1/3 of the pizza, and Spike eats 1/6 of the pizza. What fraction of the pizza is left for Tyke?

Options

  • A. 1/4
  • B. 1/6
  • C. 1/12
  • D. 3/4
  • E. 1/2

Correct answer

A. 1/4

Explanation

First add the fractions that were eaten. 1/4 + 1/3 + 1/6 Use a common denominator of 12: 1/4 = 3/12 1/3 = 4/12 1/6 = 2/12 Now add them: 3/12 + 4/12 + 2/12 = 9/12 Simplify 9/12: 9/12 = 3/4 So 3/4 was eaten. That means the fraction left is: 1 - 3/4 = 1/4 So the remaining fraction is 1/4.

Mathematical Reasoning

A laptop is on sale for $900 after a 10% discount. A further 5% discount is applied to the sale price at the …

Question 2 · Multiple choice

Question

A laptop is on sale for $900 after a 10% discount. A further 5% discount is applied to the sale price at the checkout. What is the final price of the laptop?

Options

  • A. $855.00
  • B. $850.50
  • C. $765.00
  • D. $845.00
  • E. $810.00

Correct answer

A. $855.00

Explanation

We need to find 5% of $900. 5% means 5 out of 100, or 0.05. So the discount is: 0.05 x 900 = 45 Now subtract the discount from the original price: 900 - 45 = 855 So the final price is $855.

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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