Mathematical Reasoning Mock Test 8: 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

  • 3D Nets: Visualising folded and unfolded solid shapes.
  • Symmetry: Recognising reflection and rotational symmetry in diagrams.
  • Reflection & Rotation: Transformations and image positions on grids.
  • Area & Perimeter: Measuring and comparing plane figures in word problems.
  • Angle Properties: Using angles on lines, triangles, and parallel lines.
  • Volume & Capacity: 3D measures, unit conversion, and capacity word problems.

Sample Questions from Test 8

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

Mathematical Reasoning

A rectangular swimming pool is 12m long and 5m wide. A path 1m wide is built around the outside. What is the …

Question 1 · Multiple choice

Question

A rectangular swimming pool is 12m long and 5m wide. A path 1m wide is built around the outside. What is the total area of the path?

Options

  • A. 34 sq m
  • B. 38 sq m
  • C. 40 sq m
  • D. 42 sq m
  • E. 46 sq m

Correct answer

B. 38 sq m

Explanation

The inner area is 60 square metres. The outer dimensions are 14 m by 7 m. So the outer area is: 14 x 7 = 98 square metres The path takes up the space between the outer shape and the inner shape. So the area of the path is: 98 - 60 = 38 square metres So the area of the path is 38 square metres.

Mathematical Reasoning

How many common factors do the numbers 36 and 60 have?

Question 2 · Multiple choice

Question

How many common factors do the numbers 36 and 60 have?

Options

  • A. 4
  • B. 5
  • C. 6
  • D. 7
  • E. 8

Correct answer

C. 6

Explanation

List the common factors of the two numbers: 1, 2, 3, 4, 6, 12 Now count them: There are 6 common factors So the answer is 6.

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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