Mathematical Reasoning Mock Test 20: 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

  • Multi-step Word Problems: Breaking down scenarios into equations and checking reasonableness.
  • Logical Deduction: Using given constraints to eliminate impossible answers.
  • Probability Logic: Likelihood, counting outcomes, and constraints.
  • 3D Nets: Visualising folded and unfolded solid shapes.
  • Algebraic Substitutions: Replacing variables and evaluating expressions.
  • Graph Interpretation: Reading scales, trends, and values from charts and tables.
  • Speed, Distance, Time: Applying S=D×T and unit consistency.

Sample Questions from Test 20

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

Mathematical Reasoning

If a digital clock shows 14:45, what will the time be in 1000 minutes?

Question 1 · Multiple choice

Question

If a digital clock shows 14:45, what will the time be in 1000 minutes?

Options

  • A. 06:25 the next day
  • B. 07:25 the next day
  • C. 08:25 the next day
  • D. 09:25 the next day
  • E. 10:25 the next day

Correct answer

B. 07:25 the next day

Explanation

First convert 1000 minutes into hours and minutes. There are 60 minutes in 1 hour. 1000 / 60 = 16 hours with 40 minutes left over So 1000 minutes = 16 hours 40 minutes. Now start from 14:45. Add 16 hours: 14:45 + 16 hours = 06:45 the next day Now add the remaining 40 minutes: 06:45 + 40 minutes = 07:25 So the time will be 07:25 the next day.

Mathematical Reasoning

In a class of 32 students, 3/4 are right-handed. How many students are left-handed?

Question 2 · Multiple choice

Question

In a class of 32 students, 3/4 are right-handed. How many students are left-handed?

Options

  • A. 4
  • B. 8
  • C. 12
  • D. 24
  • E. 28

Correct answer

B. 8

Explanation

There are 32 students altogether. If 3/4 are right-handed, then the remaining 1/4 are left-handed. Find 1/4 of 32: 32 / 4 = 8 So 8 students are left-handed.

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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