Mathematical Reasoning Mock Test 4: 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

  • Profit & Loss: Revenue, cost, and margin reasoning in scenarios.
  • Time & Calendars: Duration, timetables, and date arithmetic.
  • Decimals: Place value, rounding, and decimal operations under time pressure.
  • Percentages: Discounts, changes, and comparisons expressed as percent.
  • Speed, Distance, Time: Applying S=D×T and unit consistency.
  • Inverse Operations: Working backwards from a result to find an unknown.

Sample Questions from Test 4

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

Mathematical Reasoning

A runner covers 100 meters in 12.5 seconds. What is their speed in meters per minute?

Question 1 · Multiple choice

Question

A runner covers 100 meters in 12.5 seconds. What is their speed in meters per minute?

Options

  • A. 400 m/min
  • B. 480 m/min
  • C. 500 m/min
  • D. 600 m/min
  • E. 540 m/min

Correct answer

B. 480 m/min

Explanation

Use the formula: speed = distance / time Distance = 100 metres Time = 12.5 seconds So the speed in metres per second is: 100 / 12.5 = 8 m/s Now convert metres per second into metres per minute. There are 60 seconds in 1 minute, so: 8 x 60 = 480 So the speed is 480 m/min.

Mathematical Reasoning

A square has a side length of 6cm. A triangle has the same area as the square. If the base of the triangle is…

Question 2 · Multiple choice

Question

A square has a side length of 6cm. A triangle has the same area as the square. If the base of the triangle is 9cm, what is its height?

Options

  • A. 4cm
  • B. 6cm
  • C. 8cm
  • D. 12cm
  • E. 18cm

Correct answer

C. 8cm

Explanation

The square has area 36. So the triangle must also have area 36. Use the triangle area formula: Area = 1/2 x base x height The base is 9, and the height is h, so: 1/2 x 9 x h = 36 That gives: 4.5h = 36 Now divide both sides by 4.5: h = 8 So the height of the triangle is 8.

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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