Mathematical Reasoning Mock Test 7: 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

  • Number Sequences: Identifying rules and next terms in patterns.
  • Prime Numbers: Divisibility, factors, and prime-related reasoning.
  • Square & Cube Numbers: Powers, roots, and number patterns.
  • Algebraic Substitutions: Replacing variables and evaluating expressions.
  • Multi-step Word Problems: Breaking down scenarios into equations and checking reasonableness.
  • Mental Arithmetic: Fast, accurate calculation without a calculator.

Sample Questions from Test 7

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

Mathematical Reasoning

A pizza is cut into 12 slices. Mark eats 1/4 of the pizza, Sarah eats 1/3, and John eats the rest. How many s…

Question 1 · Multiple choice

Question

A pizza is cut into 12 slices. Mark eats 1/4 of the pizza, Sarah eats 1/3, and John eats the rest. How many slices did John eat?

Options

  • A. 3
  • B. 4
  • C. 5
  • D. 6
  • E. 2

Correct answer

C. 5

Explanation

There are 12 slices altogether. Mark eats 1/4 of the pizza: 1/4 x 12 = 3 slices Sarah eats 1/3 of the pizza: 1/3 x 12 = 4 slices Together they eat: 3 + 4 = 7 slices So John gets the rest: 12 - 7 = 5 slices So John gets 5 slices.

Mathematical Reasoning

A pair of shoes is marked down by 30% from its original price of $120. During a special weekend event, an add…

Question 2 · Multiple choice

Question

A pair of shoes is marked down by 30% from its original price of $120. During a special weekend event, an additional 10% is taken off the sale price. What is the final price of the shoes?

Options

  • A. $72.00
  • B. $75.60
  • C. $80.00
  • D. $84.00
  • E. $74.40

Correct answer

B. $75.60

Explanation

Start with the original price of $120. First there is a 30% discount. That means you pay 70% of the original price: 120 x 0.70 = 84 Now there is another 10% weekend discount. That means you pay 90% of $84: 84 x 0.90 = 75.60 So the final price is $75.60.

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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