Free Year 9 Sample space and probability Practice | Skillo
Skillo provides free Year 9 NAPLAN Sample space and probability practice (AC9M7P01) for Australian students. No signup, no email, no credit card. Practice questions aligned with the ACARA Australian Curriculum v9.0 strand. Open and start in 10 seconds.
Year 9 students sitting their final NAPLAN need to be confident with sample space and probability. Identify the sample space for single-stage events; assign probabilities to outcomes. Skillo has targeted practice questions for this exact skill, mapped to the Australian Curriculum v9.0, free and ready to go.
No account needed. No email. No credit card.
What does the Year 9 NAPLAN Sample space and probability test cover?
- Identify the sample space for single-stage events; assign probabilities to outcomes.
- Questions may include word problems set in real Australian contexts
- Both calculator and non-calculator question types are covered
Try a sample Sample space and probability question
Question 1 — Easy
In a sample of 40 weather observations: 15 sunny, 18 cloudy, 7 rainy. What is P(not cloudy)?
Answer: Not cloudy = sunny + rainy = 15 + 7 = 22 days. P(not cloudy) = 22/40 = 11/20. Option A (7/40) = P(rainy only). Option C (9/20) = 18/40 ÷ 2 — half of cloudy probability. Option D (18/40) = P(cloudy) — the opposite of what was asked.
Question 2 — Medium
A school tuck shop in Melbourne sells fruit boxes. The probability that a randomly selected box contains a mango is 0.35, and the probability it contains a banana is 0.45. Assuming no box contains both fruits, what is the probability that a student selects a box containing neither mango nor banana?
Answer: P(mango or banana) = 0.35 + 0.45 = 0.80. P(neither) = 1 − 0.80 = 0.20.
Question 3 — Hard
A spinner at the festival has 8 equal sections: 3 red, 2 blue, 2 green, 1 yellow. What is the probability of landing on blue OR green?
Answer: P(blue or green) = (2 + 2)/8 = 4/8 = 1/2. For mutually exclusive events, add their probabilities. Option A (1/4 = 2/8) is the probability of blue only OR green only — not both. Option C (5/8) is the probability of not red (5 non-red sections out of 8). Option D (3/8) is the probability of red.
How should my child prepare for Year 9 NAPLAN Sample space and probability?
- Select Year 9 and Numeracy on the home screen
- Use Quick Practice — questions on sample space and probability will appear as part of the session
- Check the Skill Breakdown on your profile to track your accuracy on sample space and probability specifically
- Review explanations after each question to understand the reasoning behind correct answers
Skillo is free, requires no email or account details, and is built specifically for Australian students. Every question is mapped to the Australian Curriculum v9.0 and filtered by skill so your child practises exactly what they need.
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Is Skillo really free?
Yes. Skillo is completely free for all Australian students — no subscription, no credit card, no hidden paywall. No free trial that converts to paid.
Does my child need an account?
No. Skillo doesn't require an account to practise. Open any page and start immediately — no email, no registration.
Does Skillo collect any personal information?
No. Skillo is built to require zero personal information. No name, no email, no date of birth is collected from students.
Is Skillo affiliated with NAPLAN?
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.
No account needed. No email. No credit card.
About this practice
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.