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Use this no-login public demo to preview Skill Align's Year 11 Specialist Methods sample questions, explanations, exercise mode, and test mode before regular practice.
Try a short public sample of Year 11 Specialist Methods questions selected from the reviewed Skill Align demo set.
Practice advanced functions, calculus, probability, statistics, and extended mathematical modelling.
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Compare this demo with the ACT Year 11-12 Mathematics curriculum page to scan related topics, subtopics, and pathway coverage.
These sample questions are visible on the page before login. They show ACT BSSS Year 11 Specialist Methods advanced functions, calculus, probability, regression, and inference explanations before opening the demo.
By the chain rule, dy / dx = 5(2x² - 1)⁴ x 4x. At x = 1, this is 5 x 1⁴ x 4 = 20.
Using the product rule, f'(x) = 2xe^x + x^2e^x. At x = 1, f'(1) = 2e + e = 3e.
Factor as (2sin x + 1)(sin x - 1) = 0. Thus sin x = 1 or sin x = -1 / 2. On 0 <= x < 2π, this gives π / 2, 7π / 6, and 11π / 6, so there are 3 solutions.
Choose 2 of the 6 seniors and 2 of the 5 juniors: C(6, 2) x C(5, 2) = 15 x 10 = 150.
Set 320 = 80e^(0.18t), so 4 = e^(0.18t). Hence t = ln 4 / 0.18 = 7.70..., so 7.7 years.
The z-score is (59 - 52) / 7 = 1. Therefore P(X < 59) = Φ(1) = 0.8413.
ACT BSSS Year 11 Specialist Methods practice should make advanced functions, calculus, probability, regression, and inference feel structured rather than guessable. These examples preview that style before the no-login Specialist Methods demo.
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Yes. This public demo includes reviewed Year 11 Specialist Methods sample questions so families can preview the Skill Align practice style before regular use.
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This demo is linked with the ACT Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.
