Mathematical Reasoning Mock Test 11: 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

  • Speed, Distance, Time: Applying S=D×T and unit consistency.
  • Unit Conversions: Consistent units within metric and mixed measures.
  • Time & Calendars: Duration, timetables, and date arithmetic.
  • Inverse Operations: Working backwards from a result to find an unknown.
  • Decimals: Place value, rounding, and decimal operations under time pressure.
  • Algebraic Substitutions: Replacing variables and evaluating expressions.

Sample Questions from Test 11

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

Mathematical Reasoning

A prize of $2,400 is shared among three winners. The first winner receives 3/8 of the prize, and the second w…

Question 1 · Multiple choice

Question

A prize of $2,400 is shared among three winners. The first winner receives 3/8 of the prize, and the second winner receives 2/5 of the prize. How much money does the third winner receive?

Options

  • A. $480
  • B. $540
  • C. $620
  • D. $720
  • E. $810

Correct answer

B. $540

Explanation

There are $2400 in total. Winner 1 gets 3/8 of the total: 3/8 x 2400 = 900 Winner 2 gets 2/5 of the total: 2/5 x 2400 = 960 Together, the first two winners get: 900 + 960 = 1860 So Winner 3 gets the rest: 2400 - 1860 = 540 So Winner 3 gets $540.

Mathematical Reasoning

An electronics store offers a 'Double Discount'. A camera originally costs $500. It is first discounted by 20…

Question 2 · Multiple choice

Question

An electronics store offers a 'Double Discount'. A camera originally costs $500. It is first discounted by 20%, and then an additional 10% is taken off the new price. What is the final price?

Options

  • A. $350
  • B. $360
  • C. $400
  • D. $420
  • E. $450

Correct answer

B. $360

Explanation

Start with $500. First discount is 20%, so you pay 80% of the original price: 500 x 0.8 = 400 Now there is another 10% discount, so you pay 90% of $400: 400 x 0.9 = 360 So the final price is $360.

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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