Australia · Year 10 entry

EduTest Year 10 Numerical Reasoning free practice questions with answers

Read the opening questions and their worked answers from paper 1 of our 20-paper EduTest Year 10 Numerical Reasoning set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

EduTest Year 10 Numerical Reasoning free sample: the opening questions — The opening questions of paper 1

EduTest Year 10 Numerical Reasoning free sample: the worked answer — The worked answer

What this sample covers

Topics: Numerical reasoning: [tables]; Numerical reasoning: [odd one out]; Numerical reasoning: [negative numbers].

Total = (sum of the counts) × price per unit.
For 'odd one out', test multiples, squares, primes and digit sums: three numbers will share a property.
Picture a thermometer: a drop moves down the scale, a rise moves up; negatives sit below zero.

Read the text of this sample

Questions

Work through the questions in order. If a question stalls you, move on and come back. Then check your work against the worked solutions.

1. The table shows how many passengers a ferry carried each trip. Each passenger pays $4. What was the total fare revenue? Trip Passengers Mon 34 Tue 13 Wed 8 Thu 61

A 460

B 116

C 468

D 976 E 464

2. Which number does NOT belong with the others? 22, 12, 121, 264, 253

A 22

B 121

C 12

D 264 E 253

3. The temperature at noon is -11°C. It drops by 4 degrees by evening and then rises by 5 degrees overnight. What is the temperature then?

A -9

B -10

C -2

D -11 E -20 NUMERICAL REASONING — 50 QUESTIONS Multiple choice · 30 minutes

Worked answers

1. The table shows how many passengers a ferry carried each trip. Each passenger pays $4. What was the total fare revenue? [Tables]

Trip Passengers Mon 34 Tue 13 Wed 8 Thu 61

Correct answer: E — 464

• Total passengers = 34 + 13 + 8 + 61 = 116.

• Revenue = 116 × $4 = $464.

• Why the other options are wrong:

• A (460): This is the correct answer (464) minus 3: 3 was taken off at the end of the calculation (an off-by-3 error).

• B (116): Multiply by the $4 fare.

• C (468): This is the correct answer (464) plus 3: an extra 3 was added at the end of the calculation (an off-by-3 error).

• D (976): Add all four trips.

2. Which number does NOT belong with the others? 22, 12, 121, 264, 253 [Odd one out]

Correct answer: C — 12

• Look for what the numbers share. Try dividing each by 11.

• 22, 121, 264, 253 are all multiples of 11.

• 12 is not (12 ÷ 11 leaves a remainder), so it is the odd one out.

• Why the other options are wrong:

• A (22): 22 is a multiple of 11, like the others.

• B (121): 121 is a multiple of 11, like the others.

• D (264): 264 is a multiple of 11, like the others.

• E (253): 253 is a multiple of 11, like the others.

3. The temperature at noon is -11°C. It drops by 4 degrees by evening and then rises by 5 degrees overnight. What is the temperature then? [Negative numbers]

Correct answer: B — -10

• Start at -11.

• Drop by 4: -11 - 4 = -15.

• Rise by 5: -15 + 5 = -10.

• Why the other options are wrong:

• A (-9): This is the correct answer (-10) plus 1: an extra 1 was added at the end of the calculation (an off-by-1 error).

• C (-2): A drop means subtract.

• D (-11): This is the correct answer (-10) minus 1: 1 was taken off at the end of the calculation (an off-by-1 error).

• E (-20): A rise means add.

Download the free sample: 3 questions and answers (PDF)