Mathematical Reasoning Mock Test 14: 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

  • Algebraic Substitutions: Replacing variables and evaluating expressions.
  • Inverse Operations: Working backwards from a result to find an unknown.
  • Order of Operations: Applying brackets, indices, and operation priority correctly.
  • Number Sequences: Identifying rules and next terms in patterns.
  • Prime Numbers: Divisibility, factors, and prime-related reasoning.
  • Multi-step Word Problems: Breaking down scenarios into equations and checking reasonableness.

Sample Questions from Test 14

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

Mathematical Reasoning

Two separate 3D models sit on a table — they are not glued or joined into one shape. One model is a hexagonal…

Question 1 · Multiple choice

Question

Two separate 3D models sit on a table — they are not glued or joined into one shape. One model is a hexagonal prism (12 vertices). The other is a tetrahedron, also called a triangular pyramid (4 vertices). What is the total number of vertices on both models added together?

Options

  • A. 10
  • B. 12
  • C. 14
  • D. 16
  • E. 18

Correct answer

D. 16

Explanation

The two solids are separate, so count the vertices on each one and then add them. The hexagonal prism has 12 vertices. The tetrahedron has 4 vertices. So the total number of vertices is: 12 + 4 = 16 So the answer is 16 vertices.

Mathematical Reasoning

What is the 10th term in the sequence: 5, 8, 11, 14, ...?

Question 2 · Multiple choice

Question

What is the 10th term in the sequence: 5, 8, 11, 14, ...?

Options

  • A. 29
  • B. 32
  • C. 35
  • D. 38
  • E. 41

Correct answer

B. 32

Explanation

This is an arithmetic sequence that starts at 5 and goes up by 3 each time. So the terms are: 1st = 5 2nd = 8 3rd = 11 4th = 14 and so on. To find the 10th term: first term + 9 x common difference = 5 + 9 x 3 = 5 + 27 = 32 So the 10th term is 32.

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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