Mathematical Reasoning Mock Test 13: 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

  • Cartesian Coordinates: Plotting, distance, and reading coordinates from grids.
  • Angle Properties: Using angles on lines, triangles, and parallel lines.
  • 3D Nets: Visualising folded and unfolded solid shapes.
  • Area & Perimeter: Measuring and comparing plane figures in word problems.
  • Reflection & Rotation: Transformations and image positions on grids.
  • Symmetry: Recognising reflection and rotational symmetry in diagrams.

Sample Questions from Test 13

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

Mathematical Reasoning

The price of gold is $1,200 on Monday. Each day after that — on Tuesday, Wednesday, Thursday, Friday, Saturda…

Question 1 · Multiple choice

Question

The price of gold is $1,200 on Monday. Each day after that — on Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday — the price is $5 more than it was the previous day. What is the price on Sunday?

Options

  • A. $1,225
  • B. $1,230
  • C. $1,235
  • D. $1,240
  • E. $1,245

Correct answer

B. $1,230

Explanation

The price increases by $5 each day from Monday to Sunday. From Monday to Sunday there are 6 increases: Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday So the total increase is: 6 x 5 = 30 dollars Now add that to Monday's price: 1200 + 30 = 1230 So Sunday's price is $1,230.

Mathematical Reasoning

The ratio of boys to girls in a class is 2:3. If there are 12 boys, how many girls are in the class?

Question 2 · Multiple choice

Question

The ratio of boys to girls in a class is 2:3. If there are 12 boys, how many girls are in the class?

Options

  • A. 15
  • B. 18
  • C. 20
  • D. 24
  • E. 16

Correct answer

B. 18

Explanation

The ratio of boys to girls is 2 : 3. We are told 2 parts = 12 boys. So 1 part is: 12 / 2 = 6 Girls are 3 parts, so: 3 x 6 = 18 So there are 18 girls.

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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