Mathematical Reasoning Mock Test 2: 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.
  • Number Sequences: Identifying rules and next terms in patterns.
  • Area & Perimeter: Measuring and comparing plane figures in word problems.
  • Symmetry: Recognising reflection and rotational symmetry in diagrams.
  • Angle Properties: Using angles on lines, triangles, and parallel lines.
  • Multi-step Word Problems: Breaking down scenarios into equations and checking reasonableness.

Sample Questions from Test 2

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

Mathematical Reasoning

If 5 US dollars are equal to 7 Australian dollars, how many Australian dollars are equal to 15 US dollars?

Question 1 · Multiple choice

Question

If 5 US dollars are equal to 7 Australian dollars, how many Australian dollars are equal to 15 US dollars?

Options

  • A. $17
  • B. $19
  • C. $21
  • D. $25
  • E. $23

Correct answer

C. $21

Explanation

We know that 5 US dollars = 7 Australian dollars. 15 US dollars is 3 times 5 US dollars (because 15 ÷ 5 = 3). So we multiply the Australian dollar amount by 3 as well: 3 × 7 = **21 Australian dollars**.

Mathematical Reasoning

In a quadrilateral, three of the angles are 90°, 110°, and 75°. What is the size of the fourth angle?

Question 2 · Multiple choice

Question

In a quadrilateral, three of the angles are 90°, 110°, and 75°. What is the size of the fourth angle?

Options

  • A. 85°
  • B. 95°
  • C. 105°
  • D. 115°
  • E. 75°

Correct answer

A. 85°

Explanation

Sum = 360. 360 - (90 + 110 + 75) = 360 - 275 = 85°.

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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