Mathematical Reasoning Mock Test 17: 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

  • Probability Logic: Likelihood, counting outcomes, and constraints.
  • Mean, Median & Mode: Choosing and computing the right average for the data.
  • Graph Interpretation: Reading scales, trends, and values from charts and tables.
  • Fractions: Adding, comparing, and simplifying fractional quantities in context.
  • Venn Diagrams: Overlaps, unions, and logical counts from sets.
  • Logical Deduction: Using given constraints to eliminate impossible answers.

Sample Questions from Test 17

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

Mathematical Reasoning

An Express Train leaves Central Station at 10:00 AM traveling at a constant speed of 80 km/h. A Freight Train…

Question 1 · Multiple choice

Question

An Express Train leaves Central Station at 10:00 AM traveling at a constant speed of 80 km/h. A Freight Train left the same station an hour earlier at 9:00 AM traveling at 60 km/h in the same direction. At what time will the Express Train catch up to the Freight Train?

Options

  • A. 12:00 PM
  • B. 1:00 PM
  • C. 2:00 PM
  • D. 2:30 PM
  • E. 3:00 PM

Correct answer

B. 1:00 PM

Explanation

At 10:00 AM, the Freight Train already has a head start of 60 km. The Freight Train travels at 60 km/h. The Express Train travels at 80 km/h. So the Express Train is faster by: 80 - 60 = 20 km/h That means the gap closes at 20 km/h. To catch up a 60 km gap at 20 km/h takes: 60 / 20 = 3 hours Now add 3 hours to 10:00 AM: 10:00 AM + 3 hours = 1:00 PM So the Express Train catches the Freight Train at 1:00 PM.

Mathematical Reasoning

What is the next number in this sequence? 3, 7, 15, 31, 63, ...

Question 2 · Multiple choice

Question

What is the next number in this sequence? 3, 7, 15, 31, 63, ...

Options

  • A. 95
  • B. 115
  • C. 121
  • D. 127
  • E. 132

Correct answer

D. 127

Explanation

The pattern rule is: previous number x 2 + 1 Starting from 63: 63 x 2 = 126 126 + 1 = 127 So the next number is 127.

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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