1. If 3ᵃ = 27 and 3ᵇ = 9, what is 3ᵃ⁺ᵇ?
Since 27 = 3³, a = 3. Since 9 = 3², b = 2. Therefore 3ᵃ⁺ᵇ = 3⁵ = 243.
Skill Align helps Australian Year 9 students practise topic by topic, with public sample questions first and structured sessions after the student has learned the material at school. Includes exercise questions for families who search for exercise-based revision.
Year 9 Maths includes 102 practice skills across Algebra, Measurement, Number, Probability, and Space.
A practice skill is a focused topic or question type designed to help students practise one curriculum-aligned concept with instant feedback and explanations. Skill Align uses practice skills to organise questions by year level, subject, strand, and curriculum focus.
These sample questions are visible on the page before login. They show Year 9 index laws, linear graphs, trigonometry, similarity, statistics, and probability explanations before opening the demo.
Since 27 = 3³, a = 3. Since 9 = 3², b = 2. Therefore 3ᵃ⁺ᵇ = 3⁵ = 243.
Subtract the fixed charge: 31.20 - 4.20 = 27.00. Then divide by 1.80, giving d = 15 km.
Use tan(36°) = height / 42. The height is 42 × tan(36°) = 30.516..., which rounds to 30.5 m.
Areas scale by the square of the length scale factor. The area factor is (3 / 2)² = 9 / 4, so the larger area is 48 × 9 / 4 = 108 cm².
The six known values sum to 85. Seven values with mean 15 must sum to 105, so x = 105 - 85 = 20.
The probability is 5 / 8 for the first blue and 4 / 7 for the second blue after one blue is removed. So P(two blue) = 5 / 8 × 4 / 7 = 20 / 56 = 5 / 14.
Year 9 maths practice should build senior-readiness through index laws, linear modelling, trigonometry, similarity, statistics, and probability. These examples show the worked reasoning before the no-login Year 9 Maths demo.
These related pages help students and parents move from this search result to the exact year, state pathway, or subject they need.
Australian Curriculum-aligned maths coverage with topic and subtopic filters for focused revision, plus structured sample questions through the Year 9 maths demo.
Practice sessions include exercise mode for instant feedback, test mode for delayed results, and parent review when the student signs in through a managed account. Skill Align treats practice questions and exercise questions as the same learning workflow: students answer curriculum-aligned questions, review explanations, and move between exercise mode and test mode.
Start with the public sample questions to check the question style, then use the curriculum coverage page to choose a topic that matches the student's current classwork.
These examples are not the full topic list. Use the curriculum coverage page for the complete mapped pathway.
Year 9 students preparing for stronger Year 10 and senior maths foundations, including families looking for Australian Curriculum-aligned revision at home.
Yes. Public sample pages let visitors preview curated Skill Align questions without creating a saved student test record.
No. Skill Align is designed for structured practice after students have learned topics at school or with a teacher.
Yes. Families may search for either wording; Skill Align uses one curriculum-aligned practice page for both practice questions and exercise questions.
Public samples are free before sign-in. Regular full subject access uses a parent-managed account with included access to start and an optional monthly subject subscription when more practice is needed. Exam packs are separate one-off PDF purchases.