LANTITE practice questions
11 free sample questions in the style of the real LANTITE, across numeracy and literacy, each with a worked solution. No sign-up needed to try them. Want a full picture of your strengths and gaps? Take the free diagnostic.
Numeracy samples
Percentages
Q1. A class of 28 students sat a test and 21 of them passed. What percentage of the class passed?
- A 68%
- B 72%
- C 75%
- D 78%
Show answer
Answer: C — 75%
21 out of 28 is 21 ÷ 28 = 0.75, which is 75%.
Proportional reasoning
Q2. A recipe for 24 biscuits uses 300 g of flour. Keeping the same proportions, how much flour is needed to make 36 biscuits?
- A 400 g
- B 420 g
- C 450 g
- D 480 g
Show answer
Answer: C — 450 g
Flour per biscuit is 300 ÷ 24 = 12.5 g. For 36 biscuits: 12.5 × 36 = 450 g.
Mean (average)
Q3. A student scored 12, 15, 9, 14 and 15 on five short quizzes. What is the mean score?
- A 12
- B 13
- C 14
- D 15
Show answer
Answer: B — 13
The total is 12 + 15 + 9 + 14 + 15 = 65. The mean is 65 ÷ 5 = 13.
Area and fractions
Q4. A rectangular classroom is 8 m long and 6 m wide. A rug covers exactly one quarter of the floor. What area does the rug cover?
- A 6 m²
- B 12 m²
- C 18 m²
- D 24 m²
Show answer
Answer: B — 12 m²
The floor area is 8 × 6 = 48 m². One quarter of 48 is 48 ÷ 4 = 12 m².
Rates and time
Q5. A teacher marks 5 essays in 40 minutes at a steady rate. At the same rate, how long will it take to mark 18 essays?
- A 2 h 10 min
- B 2 h 24 min
- C 2 h 40 min
- D 3 h
Show answer
Answer: B — 2 h 24 min
Each essay takes 40 ÷ 5 = 8 minutes. For 18 essays: 8 × 18 = 144 minutes, which is 2 hours 24 minutes.
Ratio
Q6. In a school the ratio of students to teachers is 15 to 1. If there are 420 students, how many teachers are there?
- A 24
- B 28
- C 30
- D 32
Show answer
Answer: B — 28
Divide the students by 15: 420 ÷ 15 = 28 teachers.
Literacy samples
Read the passage, then answer Q7–Q9
Retrieval practice, the act of recalling information from memory rather than simply re-reading it, is one of the most reliable ways to strengthen long-term learning. When students are asked to bring information to mind, the effort of retrieval consolidates the memory and makes it easier to access later. Re-reading, by contrast, can create a false sense of fluency: the material feels familiar, but that familiarity is not the same as being able to recall it under exam conditions. Short, low-stakes quizzes are a practical way to build retrieval practice into everyday teaching.
Reading comprehension · main idea
Q7. Which statement best captures the main idea of the passage above?
- A Re-reading is the most effective way to study for an exam.
- B Retrieval practice strengthens learning more reliably than re-reading.
- C Familiarity with material guarantees success under exam conditions.
- D Quizzes are only useful when they carry high stakes.
Show answer
Answer: B — Retrieval practice strengthens learning more reliably than re-reading.
The passage argues that recalling information (retrieval practice) consolidates memory more reliably than re-reading, which only feels familiar.
Reading comprehension · inference
Q8. In the passage, 'a false sense of fluency' suggests that re-reading can make students:
- A recall information more accurately under pressure
- B believe they know the material better than they actually do
- C enjoy their studying a great deal more
- D forget the material almost immediately
Show answer
Answer: B — believe they know the material better than they actually do
A 'false sense of fluency' means the material feels known, but that feeling overstates how well it can actually be recalled.
Reading comprehension · author purpose
Q9. The author's main purpose in the passage is to:
- A argue that quizzes should replace all other teaching
- B criticise students who choose to re-read their notes
- C explain why retrieval practice supports learning and suggest a classroom use
- D compare two unrelated approaches to classroom management
Show answer
Answer: C — explain why retrieval practice supports learning and suggest a classroom use
The passage explains the benefit of retrieval practice and ends by suggesting a practical classroom application (low-stakes quizzes).
Technical writing · modifiers
Q10. Which sentence is written most clearly and correctly?
- A Walking into the classroom, the whiteboard was covered in notes.
- B Walking into the classroom, the teacher saw that the whiteboard was covered in notes.
- C The whiteboard, walking into the classroom, was covered in notes.
- D Covered in notes, the teacher saw the whiteboard while walking in.
Show answer
Answer: B — Walking into the classroom, the teacher saw that the whiteboard was covered in notes.
The opening phrase 'Walking into the classroom' must describe the person doing the walking. Only option B places 'the teacher' correctly after it, avoiding a dangling modifier.
Technical writing · concision
Q11. Which sentence expresses the idea most concisely without losing its meaning?
- A Due to the fact that the test was difficult, many students required additional time in order to finish it.
- B Because the test was difficult, many students needed extra time to finish.
- C The test being difficult in nature, additional time was a thing many students needed.
- D On account of its difficulty, extra time for finishing was needed by many of the students.
Show answer
Answer: B — Because the test was difficult, many students needed extra time to finish.
Option B keeps the full meaning while removing wordy phrases like 'due to the fact that' and 'in order to'.
Want to know exactly where you stand?
These samples are a taster. Our free 20-question diagnostic scores your literacy and numeracy across five domains and builds a personalised study plan, pointing you at the right guides for your gaps.
These are original, Teacher Passport-authored practice questions written to resemble the style and difficulty of LANTITE. They are not real LANTITE questions and are not an official practice test. Teacher Passport is not affiliated with ACER. The only official practice materials are free from ACER at teacheredtest.acer.edu.au.