1 Reasoning and problem solving
112 practice problems
- 1.1 Patterns and conjectures28 problems
- 1.2 Counterexamples28 problems
- 1.3 Deductive reasoning and number proofs28 problems
- 1.4 Puzzles and winning strategies28 problems
← All courses
The cosine law and area · Sample question
BC Math 11 - Foundations practice problems
1,000 practice problems, organized by chapter and topic.
British Columbia Foundations 11: 1,000 interactive problems in reasoning, angles and trigonometry, graphical analysis and optimization, statistics, scale models and financial decisions.
Easy, medium and hard problems. Your student profile saves your completed work.
See a sample question
Section 3.3: The cosine law and area.
This screenshot shows question 12 as it appears inside the course.
The preview is free to view. Start your trial to work through the full course and track your progress.
What is in this course?
Follow the topics in order, or find the section you are studying now.
2 Angles and geometry
112 practice problems
- 2.1 Parallel lines and transversals28 problems
- 2.2 Angles in triangles28 problems
- 2.3 Polygons and exterior angles28 problems
- 2.4 Angle constructions and proof decisions28 problems
3 Triangle trigonometry
112 practice problems
- 3.1 Right-triangle review28 problems
- 3.2 The sine law28 problems
- 3.3 The cosine law and area28 problems
- 3.4 Obtuse triangles and the ambiguous case28 problems
4 Graphical quadratic analysis
112 practice problems
- 4.1 Vertices, symmetry and intercepts28 problems
- 4.2 Matching equations to graphs28 problems
- 4.3 Graphical systems of equations28 problems
- 4.4 Quadratic models and maximum values28 problems
5 Inequalities and optimization
112 practice problems
- 5.1 Boundary lines and solution regions28 problems
- 5.2 Feasible regions and intersections28 problems
- 5.3 Linear programming and objective functions28 problems
- 5.4 Area and perimeter optimization28 problems
6 Describing data
112 practice problems
- 6.1 Means, medians and weighted means28 problems
- 6.2 Frequency tables and data comparisons28 problems
- 6.3 Population and sample standard deviation28 problems
- 6.4 Sampling and claims about variation28 problems
7 Normal models and inference
112 practice problems
- 7.1 The normal model and empirical rule28 problems
- 7.2 z-scores and comparisons28 problems
- 7.3 Normal probabilities with supplied calculator results28 problems
- 7.4 Confidence intervals and their meaning28 problems
8 Proportional reasoning and scale models
108 practice problems
- 8.1 Length scales and unit conversions27 problems
- 8.2 Area scales and similar shapes27 problems
- 8.3 Volume scales and similar solids27 problems
- 8.4 The square-cube law and applications27 problems
9 Compound interest and financial decisions
108 practice problems
- 9.1 Compound interest and periodic rates27 problems
- 9.2 Present value and comparing investments27 problems
- 9.3 Regular deposits and loan payments27 problems
- 9.4 Comparing buying, renting and leasing27 problems
Ready to start practicing?
Your 14-day trial includes every published course.
Start your free trial