Set parabolas and rates of change for your class
Auto-marked test, shared by link
Opens the Teacher Zone with every topic in this chapter ticked. Students are marked as soon as they finish, with worked solutions.
Year 10 testYear 10A testPrintable practice exam
A PDF with marks, a suggested time and answers, including questions that need working or an explanation.
Year 10 examYear 10A examWhat Year 10 and 10A Parabolas and rates of change covers
10 topics, in textbook order. Topics marked 10A are the extension topics.
- Exploring parabolas
- Sketching parabolas using transformations
- Sketching parabolas using factorisation
- Sketching parabolas by completing the square
- Sketching parabolas using the quadratic formula and the discriminant
- Applications of parabolas
- Intersection of lines and parabolas10A
- Rates of change10A
- Average and instantaneous rates of change10A
- Direct variation and inverse variation
Printable worksheets and topic tests
Each practice sheet is a free PDF (10 questions, answers on the last page). The full 20-question test with an answer key is emailed to you.
- Year 10 Graphs of parabolas, circles, hyperbolas and exponentialsPractice sheet (PDF)Full test
- Year 10 Quadratic equationsPractice sheet (PDF)Full test
- Year 10A Factorising non-monic quadraticsPractice sheet (PDF)Full test
- Year 10A Linear and non-linear simultaneous equationsPractice sheet (PDF)Full test
- Year 10 Compound interestPractice sheet (PDF)Full test
- Year 10 Direct and inverse proportionPractice sheet (PDF)Full test
Revision mind map
Year 10 and 10A Parabolas and rates of change: the whole chapter on one page
Sketching parabolas by transformations, factorising, completing the square and the discriminant, line–parabola intersections, rates of change, and direct and inverse variation. A worked example for each topic, ready to print on A4 for revision or to put on the board.
View and download (PDF)Ideas for using them in class
Questions 1 to 4 of each topic test are the basics. Put one or two on the board to start the lesson.
Set a 5-question auto-marked test at the end of a lesson. Students see their mark straight away, and you see who needs another go when they tell you their score.
Print the practice sheet with the answers on the last page so students can self-mark, or share a Teacher Zone link and it marks itself.
The full 20-question test runs from the basics to harder problems. A week before the real test, it shows students where their gaps are.
The printable exam builder mixes topics with marks and a suggested time, for end-of-term and end-of-year revision.
The last section of each full test (questions 17 to 20) has multi-step and problem-solving questions for students who finish early.
Other Year 10 and 10A chapters
- Algebra, equations and linear relationships
- Geometry and networks
- Indices, exponentials and logarithms
- Measurement and surds
- Quadratic expressions and equations
- Trigonometry
- Probability and counting techniques
- Statistics
- Polynomials, functions and graphs
Chapter and topic names follow Cambridge Essential Mathematics for the Victorian Curriculum. Questions are Tuterly’s own. Tuterly isn’t affiliated with Cambridge University Press.