Mathematical Reasoning Mock Test 5: 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

  • Volume & Capacity: 3D measures, unit conversion, and capacity word problems.
  • Algebraic Substitutions: Replacing variables and evaluating expressions.
  • Unit Conversions: Consistent units within metric and mixed measures.
  • Area & Perimeter: Measuring and comparing plane figures in word problems.
  • Prime Numbers: Divisibility, factors, and prime-related reasoning.
  • Fractions: Adding, comparing, and simplifying fractional quantities in context.

Sample Questions from Test 5

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

Mathematical Reasoning

The ratio of boys to girls in a club is 3:4. If 6 boys join, the ratio becomes 1:1. How many girls are in the…

Question 1 · Multiple choice

Question

The ratio of boys to girls in a club is 3:4. If 6 boys join, the ratio becomes 1:1. How many girls are in the club?

Options

  • A. 18
  • B. 24
  • C. 21
  • D. 28
  • E. 32

Correct answer

B. 24

Explanation

Let the number of boys be x. Then the number of girls is 4x. We are told: 3x + 6 = 4x Subtract 3x from both sides: 6 = x So the number of boys is 6. Now find the number of girls: 4x = 4 x 6 = 24 So there are 24 girls.

Mathematical Reasoning

A table shows student preferences: Pizza (40%), Burgers (35%), Tacos (25%). If 80 students chose Pizza, how m…

Question 2 · Multiple choice

Question

A table shows student preferences: Pizza (40%), Burgers (35%), Tacos (25%). If 80 students chose Pizza, how many chose Tacos?

Options

  • A. 40
  • B. 50
  • C. 60
  • D. 70
  • E. 30

Correct answer

B. 50

Explanation

We are told 40% of the total is 80. First find 1%: 80 / 40 = 2 Now find 25%: 25 x 2 = 50 So 25% of the total is 50.

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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