Sample Questions from Test 2

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

Mathematical Reasoning

Father is four times as old as Paul. Seven years ago, Father was 24 years older than Paul. How old is Father …

Question 1 · Multiple choice

Question

Father is four times as old as Paul. Seven years ago, Father was 24 years older than Paul. How old is Father now?

Options

A. $24$
B. $28$
C. $32$
D. $36$
E. $40$

Correct answer

C.

32

Explanation

Step 1: Understand that the age gap never changes The difference in ages between two people stays the same forever — it doesn't matter what year you look at. Step 2: Express the age gap in terms of Paul's current age Let Paul's current age = P Father's current age = 4P Age gap = 4P - P = 3P Step 3: Use the clue from 7 years ago The problem says 7 years ago, Father was 24 years older than Paul. Since the gap never changes, the gap right NOW is also 24 years: 3P = 24 P = 24 \div 3 = 8 (Paul is 8 years old now) Step 4: Find Father's age Father = 4 \times P = 4 \times 8 = 32 years old Check: 7 years ago \to Paul was 1, Father was 25. 25 - 1 = 24 ✓ Answer: Father is 32 years old

Mathematical Reasoning

Three friends, P, Q and R, shared the cost of a present among themselves. The present they had chosen cost \$…

Question 2 · Multiple choice

Question

Three friends, P, Q and R, shared the cost of a present among themselves. The present they had chosen cost $450. Q contributed 20% more than P while R contributed 20% less than P. How much more did Q contribute than R?

Options

A. $$30$
B. $$45$
C. $$60$
D. $$75$
E. $$90$

Correct answer

C.

$60

Explanation

Step 1: Write each contribution in terms of P Let P's contribution = $p Q contributed 20% MORE than P: Q = 1.2p R contributed 20% LESS than P: R = 0.8p Step 2: Use the total to find p P + Q + R = $450 p + 1.2p + 0.8p = 450 3p = 450 p = $150 Step 3: Calculate each contribution Person Calculation Amount P $150 $150 Q 1.2 \times $150 $180 R 0.8 \times $150 $120 Check: $150 + $180 + $120 = $450 ✓ Step 4: Find how much more Q paid than R Q - R = $180 - $120 = $60 Answer: Q contributed $60 more than R

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.

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Mathematical Reasoning Mock Test 2: 2027 NSW Selective Format

Skills Covered in this Test

Sample Questions from Test 2

Core Competencies

Prepare with Precision