1. A map has scale 1:25,000. The distance between two points is 8.4 cm on the map. What is the actual distance in kilometres?
The actual distance is 8.4 × 25,000 = 210,000 cm. Since 100,000 cm = 1 km, this is 2.1 km.
This public preview is being prepared so visitors can try the subject before subscribing.
This public preview page identifies the planned Year 8 Maths demo route and links it to curriculum coverage while the reviewed sample question set is being completed.
The planned public sample is for Year 8 Maths practice and will open after the demo questions are reviewed.
Practice number, algebra, measurement, space, statistics, probability, patterns, and problem solving.
The route is public now; the exercise and test preview will become available after the curated question set is ready.
Compare this demo with the Year 7-9 Maths curriculum page to scan related topics, subtopics, and pathway coverage.
These sample questions are visible on the page before login. They show Year 8 scale, linear relationships, Pythagoras, rates, probability, and algebra explanations before opening the demo.
The actual distance is 8.4 × 25,000 = 210,000 cm. Since 100,000 cm = 1 km, this is 2.1 km.
The gradient is (19 - 7) / (6 - 2) = 3. Using (2, 7), 7 = 3 × 2 + b, so b = 1. The rule is y = 3x + 1.
Use Pythagoras: rise² = 5.2² - 4.8² = 27.04 - 23.04 = 4. The rise is 2.0 m.
The added water must be 220 - 40 = 180 L. At 18 L per minute, the time is 180 / 18 = 10 minutes.
Add the late branches: 0.35 × 0.60 + 0.65 × 0.15 = 0.21 + 0.0975 = 0.3075.
The area difference is (3x)² - x² = 9x² - x² = 8x². So 8x² = 128, x² = 16, and x = 4 because a side length is positive.
Year 8 maths practice should make proportional reasoning, linear rules, Pythagoras, rates, probability, and algebra feel structured rather than guessable. These examples preview that style before the no-login Year 8 Maths demo.
Not yet. The Year 8 Maths demo route is public, but the interactive sample questions will open after the reviewed public set is ready.
No sign-up is required to view the preview status. The no-login interactive demo will be available after the sample set is completed.
This demo is linked with the Year 7-9 Maths curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.