Mathematical Reasoning Mock Test 16: 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.
  • Unit Conversions: Consistent units within metric and mixed measures.
  • Area & Perimeter: Measuring and comparing plane figures in word problems.
  • Decimals: Place value, rounding, and decimal operations under time pressure.
  • Fractions: Adding, comparing, and simplifying fractional quantities in context.
  • Inverse Operations: Working backwards from a result to find an unknown.

Sample Questions from Test 16

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

Mathematical Reasoning

In the pie chart below, the 'Electronics' sector has an angle of 108 degrees. If total sales were $150,000, h…

Question 1 · Multiple choice

Question

In the pie chart below, the 'Electronics' sector has an angle of 108 degrees. If total sales were $150,000, how much revenue came from sectors other than Electronics?

Options

  • A. $45,000
  • B. $60,000
  • C. $90,000
  • D. $105,000
  • E. $120,000

Correct answer

D. $105,000

Explanation

Electronics = 30%. Other = 70% of 150,000 = $105,000.

Mathematical Reasoning

A village population increases by 10% in the first year and then decreases by 5% in the second year. If the p…

Question 2 · Multiple choice

Question

A village population increases by 10% in the first year and then decreases by 5% in the second year. If the population at the end of the second year is 20,900, what was the initial population?

Options

  • A. 19,000
  • B. 19,500
  • C. 20,000
  • D. 20,500
  • E. 21,000

Correct answer

C. 20,000

Explanation

1.045x = 20,900 -> x = 20,000.

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.