LANTITE Numeracy Practice Questions: Free Examples (2025)
Looking for LANTITE numeracy practice questions? This guide provides authentic sample questions from all three content areas, complete with detailed solutions and test-taking strategies. These examples mirror the types of questions you'll encounter on the official LANTITE numeracy test administered by ACER (Australian Council for Educational Research).
LANTITE Numeracy Test Structure
The LANTITE numeracy component, administered by ACER, consists of 65 questions across 120 minutes, divided into:
Section 1: Calculator Allowed
- • 52 questions
- • Online calculator provided
- • ~90-95 minutes recommended
Section 2: No Calculator
- • 13 questions
- • Mental math required
- • ~25-30 minutes recommended
Important: Once you move to Section 2, you cannot return to Section 1. Manage your calculator section time wisely!
Three Core Content Areas
The LANTITE numeracy test covers three main areas. Understanding their weighting helps you focus your practice:
Number & Algebra
40-50%
Operations, fractions, percentages, ratios, equations
Measurement & Geometry
20-30%
Area, perimeter, volume, units, shapes, scales
Statistics & Probability
25-35%
Data interpretation, averages, graphs, probability
Practice Question 1: Number & Algebra
Question:
A teacher orders art supplies for their class. Paint costs $4.50 per tube, brushes cost $2.75 each, and canvas boards cost $6.20 each. The teacher buys 18 tubes of paint, 24 brushes, and 15 canvas boards.
What is the total cost of the art supplies?
A) $240.50
B) $219.00
C) $228.00
D) $234.00
✓ Solution:
Step 1: Calculate cost of paint
18 tubes × $4.50 = $81.00
Step 2: Calculate cost of brushes
24 brushes × $2.75 = $66.00
Step 3: Calculate cost of canvas boards
15 boards × $6.20 = $93.00
Step 4: Add all costs together
$81.00 + $66.00 + $93.00 = $240.00
Answer: A) $240.50
Key Skill: Multi-step calculations with decimals. This type of question tests your ability to organize information and perform accurate multiplication and addition with money values.
Practice Question 2: Measurement & Geometry
Question:
A rectangular classroom has a length of 8.5 meters and a width of 6.2 meters. The school plans to install new carpet that costs $45 per square meter, including installation.
What is the total cost to carpet the classroom?
A) $2,349.00
B) $2,371.50
C) $2,650.50
D) $2,295.00
✓ Solution:
Step 1: Calculate the area of the classroom
Area = Length × Width
Area = 8.5 m × 6.2 m = 52.7 m²
Step 2: Calculate the total cost
Cost = Area × Price per square meter
Cost = 52.7 m² × $45 = $2,371.50
Answer: B) $2,371.50
Key Skill: Area calculations with practical applications. These questions often combine geometric formulas with real-world scenarios teachers encounter.
Practice Question 3: Statistics & Probability
Question:
A class of 25 students took a mathematics test. Their scores were:
72, 85, 90, 68, 75, 88, 92, 70, 78, 85, 82, 75, 88, 95, 72, 80, 85, 78, 90, 88, 75, 82, 85, 78, 80
What is the median score for the class?
A) 80
B) 82
C) 85
D) 88
✓ Solution:
Step 1: Arrange scores in order (lowest to highest)
68, 70, 72, 72, 75, 75, 75, 78, 78, 78, 80, 80, 82, 82, 85, 85, 85, 85, 88, 88, 88, 90, 90, 92, 95
Step 2: Find the middle value
With 25 scores (odd number), the median is the 13th value
Count to the 13th position: 82
Answer: B) 82
Key Skill: Finding the median from a data set. Remember: for an odd number of values, the median is the middle value; for an even number, it's the average of the two middle values.
Practice Question 4: Mental Math (No Calculator)
Question:
A school library has 450 books. If 35% of the books are fiction, approximately how many fiction books are in the library?
A) 135
B) 150
C) 158
D) 165
✓ Solution (Mental Math Strategy):
Strategy: Break down 35% into easier chunks
35% = 30% + 5%
Step 1: Calculate 10% first
10% of 450 = 45
Step 2: Calculate 30% (multiply by 3)
30% = 45 × 3 = 135
Step 3: Calculate 5% (half of 10%)
5% = 45 ÷ 2 = 22.5
Step 4: Add them together
35% = 135 + 22.5 = 157.5 ≈ 158
Answer: C) 158
Key Skill: Mental percentage calculations using the 10% method. Breaking percentages into 10% and 5% chunks makes mental math much easier without a calculator.
Essential Test-Taking Strategies
Calculator Section Tips
- • Practice with the ACER online calculator interface before test day
- • Double-check calculations, especially with decimals
- • Don't waste time on calculations you can do mentally
- • Remember you can't return once you start Section 2
No Calculator Section Tips
- • Master the 10% method for quick percentage calculations
- • Practice estimation techniques for complex numbers
- • Memorize common fractions to decimal conversions
- • Use elimination to narrow down answer choices
Time Management Guide
Your 120-Minute Strategy
Pro Tip: Flag difficult questions and move on. Your goal is to answer all questions, not to spend 10 minutes on one tricky problem.
How to Use These Practice Questions
Understand Question Types
Each question represents a common format you'll encounter on the actual LANTITE test. Focus on understanding the question structure and requirements.
Practice Time Management
Time yourself solving these questions. Aim for 1.5-2 minutes per question to simulate test conditions.
Learn the Solution Methods
Don't just check your answer - study the solution approach. Understanding the method is more valuable than memorizing answers.
Identify Your Weak Areas
If you struggled with a particular content area, that's where you need focused practice. Use our platform to target those specific skills.
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These 4 examples are just the beginning. Our comprehensive platform offers hundreds of questions covering every LANTITE numeracy topic, complete with step-by-step solutions and AI-powered help.
Continue Your LANTITE Preparation
Note: These practice questions are designed to reflect the format and difficulty of LANTITE numeracy questions administered by ACER. For official practice materials and test registration, visit the ACER LANTITE website.