Mathematical Reasoning Mock Test 4: 2027 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

2027 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

Profit & Loss: Revenue, cost, and margin reasoning in scenarios.
Time & Calendars: Duration, timetables, and date arithmetic.
Decimals: Place value, rounding, and decimal operations under time pressure.
Percentages: Discounts, changes, and comparisons expressed as percent.
Speed, Distance, Time: Applying S=D×T and unit consistency.
Inverse Operations: Working backwards from a result to find an unknown.

Sample Questions from Test 4

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

Mathematical Reasoning

A fruit shop has 516 kilograms of apples and 372 kilograms of pears. If the weight of the fruit in each box i…

Question 1 · Multiple choice

Question

A fruit shop has 516 kilograms of apples and 372 kilograms of pears. If the weight of the fruit in each box is 12 kilograms, then how many more boxes of apples than pears does the shop have?

Options

A. $43$
B. $31$
C. $74$
D. $24$
E. $12$

Correct answer

12

Explanation

Step 1: Find the number of apple boxes Apple boxes = 516 \div 12 = 43 boxes Step 2: Find the number of pear boxes Pear boxes = 372 \div 12 = 31 boxes Step 3: Find the difference Extra apple boxes = 43 - 31 = 12 more apple boxes Check: 43 \times 12 = 516 ✓ and 31 \times 12 = 372 ✓ Answer: There are 12 more boxes of apples

Mathematical Reasoning

A company needed to assemble a batch of computers. 120 computers were assembled in the first 8 days. At this …

Question 2 · Multiple choice

Question

A company needed to assemble a batch of computers. 120 computers were assembled in the first 8 days. At this rate, 24 more days were needed to finish the task. How many computers did the company need to assemble in total?

Options

A. $480$
B. $360$
C. $440$
D. $520$
E. $420$

Correct answer

480

Explanation

Step 1: Find the daily assembly rate In the first 8 days, 120 computers were assembled. Daily rate = 120 \div 8 = 15 computers per day Step 2: Find the remaining computers At the same rate, 24 more days are needed. Remaining = 15 \times 24 = 360 computers Step 3: Find the total Total = 120 + 360 = 480 computers Check: 480 \div 15 = 32 total days (8 + 24) ✓ Answer: The company needed to assemble 480 computers in total

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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