Free LANTITE Numeracy Practice Questions (With Worked Solutions)

The best way to prepare for the LANTITE Numeracy test isn’t to re-learn high-school maths — it’s to practise the kind of questions the test actually asks, and to learn a reliable method for each. Below are 8 practice questions pitched at LANTITE level, each with a full worked solution that shows you the method — not just the answer. Every one is designed to be done in your head or on paper, the way the test’s non-calculator section expects.

Work through them, then sit the complete, full-length LANTITE mock exam — free to see exactly where you stand, with instant marking and worked explanations for every question.

Tip: try each question first, then read the solution. Getting it wrong and understanding why is worth more than getting it right by luck.

The questions

1. Percentages — a discount

A set of readers costs $80. In a sale it’s discounted 15%. What’s the sale price?

Worked solution. Build 15% from parts you can do in your head. 10% of $80 = $8; half of that (5%) = $4; so 15% = 8 + 4 = $12. Sale price = 80 − 12 = $68.

2. Percentage of a quantity

A class has 25 students. 60% of them walk to school. How many students walk?

Worked solution. 10% of 25 = 2.5. 60% is six lots of 10%, so 6 × 2.5 = 15 students.

3. Sharing in a ratio

A $720 book grant is shared between two classrooms in the ratio 5 : 4. How much does the classroom on the smaller share receive?

Worked solution. Add the parts: 5 + 4 = 9 parts. One part = 720 ÷ 9 = $80. The smaller share is 4 parts: 4 × 80 = $320. (Read carefully — the test often asks for the smaller or second share to catch people who stop at “one part”.)

4. A fraction of an amount

A lesson runs for 90 minutes. Students spend two-thirds of it on group work. How long is the group work?

Worked solution. Find one-third first: 90 ÷ 3 = 30 minutes. Two-thirds = 2 × 30 = 60 minutes.

5. A rate

A photocopier prints 24 pages per minute. How long does it take to print 300 pages?

Worked solution. Divide the total by the rate: 300 ÷ 24. Since 24 × 12 = 288, and 300 − 288 = 12, that’s another half a minute. So 12.5 minutes (12 minutes 30 seconds).

6. Reading data — the mean

Five students score 15, 18, 21, 18, 23 on a quiz. What is the mean (average) score?

Worked solution. Add them: 15 + 18 + 21 + 18 + 23 = 95. Divide by how many: 95 ÷ 5 = 19.

7. Reverse percentages — the classic trap

A tablet is on sale for $180, which is after a 20% discount. What was the original price?

Worked solution. Don’t add 20% back on — that’s the trap. If 20% was taken off, $180 is 80% of the original. So 1% = 180 ÷ 80 = $2.25, and 100% = 2.25 × 100 = $225. (Quick check: 20% of 225 = 45, and 225 − 45 = 180. ✓)

8. Time

A test session starts at 9:45 am and lasts 2 hours 20 minutes. What time does it finish?

Worked solution. Add the hours first: 9:45 + 2 hours = 11:45. Then the minutes: 11:45 + 20 = 12:05 pm.

How to use these to actually improve

Getting an answer right once isn’t the goal — being able to repeat the method under time pressure is. For every question you missed, write down the one step that tripped you, and redo a similar question a day later. The LANTITE Numeracy test rewards a small set of reliable methods (percentages from 10%, sharing by parts, “of means multiply”, checking your answer) far more than raw calculation speed.

If you’re not sure which topics to focus on, start with the 6 numeracy topics that appear in almost every test, and pace yourself with a study plan.

Ready for the real thing?

These 8 are a taste. Sit the full-length LANTITE Numeracy mock exam — free, no card — you’ll get instant marking, a worked solution for every question, and a clear read on which topics to prioritise. Walk into the LANTITE knowing you’re ready.

FAQ

Are these real LANTITE questions? No — LANTITE questions are confidential. These are original practice questions written at the same level and testing the same skills, so the method transfers directly.

Can I use a calculator? The LANTITE Numeracy test has both a calculator and a non-calculator section. Every question above is designed to be done without one — building that mental fluency is what saves you time on the day.

How many questions are on the real test? The full test is longer and timed. The free mock exam mirrors the real length and timing so you can practise pacing, not just the maths.

What score do I need to pass? See what score you need to pass the LANTITE Numeracy test for how the standard works.