I want to grow this community with students who are genuinely serious about improving their maths. So here’s a little reward 👇 Invite 5 friends to join our Skool community and I’ll give you ONE A Star Maths digital maths book FREE 📚⭐ You can choose a book suitable for your year level/subject. How to claim it: Invite 5 friends → once they’ve joined, comment DONE below and I’ll organise your free book. And yes… you can keep inviting people. 👀 Let’s build the biggest maths community in Australia. 🇦🇺📈

I want to grow this community with more students who genuinely want to improve their maths, so I’m starting a little challenge! Invite 5 friends who would benefit from the A Star Maths community. Once 5 of your invited friends join, you can choose ONE A Star Maths digital book FREE 📚⭐ That’s it. Invite 5 friends → 5 join → choose your free book. 🎉 There’s no purchase required. Please only invite students, parents or friends who would genuinely find the maths resources and help in this community useful. Once your 5 friends have joined, comment DONE below and I’ll organise your book. ⭐ A Star Maths

Here's something I've noticed after 15+ years of tutoring maths: The students who achieve the highest results are almost never the ones who sit quietly and pretend they understand. They are the ones who ask questions. Constantly. They ask when they're confused. They ask when they think they understand but want to make sure. They ask when they get the right answer but aren't sure why it's right. And here's the thing about asking questions in maths: There is no such thing as a stupid question in maths. Every question you ask reveals a gap in your understanding. And every gap you close brings you closer to that 99+. The students who don't ask questions? They carry their gaps all the way into the EA. And those gaps cost them marks on questions they could have answered if they'd just asked earlier. So here's my challenge for you this week: Every time you get stuck — don't sit with it for more than 10 minutes. Post your question in this community. Tag me if you need to. I check this every day and I will answer you. That's what this community is here for. Not just tips and worked solutions — but real answers to your real questions. What question have you been too afraid to ask? Drop it below right now 👇 No judgment. Only answers. 💪

What a week! Here's everything we covered: ✅ Problem of the Week #5 — probability distributions ✅ How to check your answers in the EA without a worked solution ✅ Integration by substitution — the foolproof 5 step method ✅ Worked solution with common mistakes breakdown If you missed any of these — scroll back through the feed and catch up. Everything is there for you. Here's something worth thinking about this weekend: You are now 5 weeks into consistent maths practice. That means you have: - Attempted 5 Problems of the Week - Read 15+ exam tips and concept breakdowns - Had access to a complete QCAA-aligned course in the Classroom tab The students who use all of this — who attempt the problems, read the tips and work through the classroom content — are the ones who walk into the EA with genuine confidence. Are you using everything available to you? If not — this weekend is a great time to catch up. Head to the Classroom tab and pick one topic you've been avoiding. Spend 30 minutes on it today. That's all. Just 30 minutes on one topic you've been putting off. Drop a comment below — which topic are you tackling this weekend? 👇 Let's hold each other accountable. 💪

Here's the full worked solution to this week's problem! Problem: A discrete random variable X has the probability distribution shown above. Part a) Find k: All probabilities must sum to 1: 0.1 + 0.3 + k + 0.2 = 1 0.6 + k = 1 k = 0.4 ✅ Part b) Find E(X): E(X) = 1(0.1) + 2(0.3) + 3(0.4) + 4(0.2) = 0.1 + 0.6 + 1.2 + 0.8 = 2.7 ✅ Part c) Find Var(X): First find E(X²): E(X²) = 1²(0.1) + 2²(0.3) + 3²(0.4) + 4²(0.2) = 0.1 + 1.2 + 3.6 + 3.2 = 8.1 Then: Var(X) = E(X²) - [E(X)]² = 8.1 - (2.7)² = 8.1 - 7.29 = 0.81 ✅ Standard deviation = √0.81 = 0.9 Part d) Find P(X > 2): P(X > 2) = P(X = 3) + P(X = 4) = 0.4 + 0.2 = 0.6 ✅ Common mistakes to avoid: Mistake 1 — Var(X) = E(X²) - [E(X)]² — NOT E(X²) - E(X²). Make sure you square E(X) correctly. Mistake 2 — P(X > 2) does NOT include X = 2. Greater than means strictly greater than — always read the inequality carefully. Mistake 3 — Always verify your probabilities sum to 1 before solving any other part. If they don't sum to 1 your distribution is invalid. New Problem of the Week drops Monday! 💪