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

A pie chart of shop sales shows that the Electronics sector has a sector angle of 108°. Total sales were $150…

Question 1 · Multiple choice

Question

A pie chart of shop sales shows that the Electronics sector has a sector angle of 108°. Total sales were $150,000. How much revenue came from all 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

The Electronics sector is 108 degrees out of the full 360-degree circle. So the fraction for Electronics is: 108 / 360 = 0.30 = 30% That means all the other sectors together make up: 100% - 30% = 70% Now find 70% of $150,000: 0.70 x 150000 = 105000 So the revenue from all sectors other than Electronics is $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

Let the initial population be x. After a 10% increase, the population becomes: 1.10x Then it decreases by 5%, so it becomes: 1.10x x 0.95 = 1.045x We are told the final population is 20,900, so: 1.045x = 20900 Now divide both sides by 1.045: x = 20900 / 1.045 = 20000 So the initial population was 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.

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