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BC Math 12 - Foundations practice problems

1,000 practice problems, organized by chapter and topic.

British Columbia Foundations 12: 1,000 interactive problems in probability, counting, regression models, conics, fractals and financial planning.

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Section 1.2: Venn diagrams and overlapping events.

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BC Math 12 - Foundations, section 1.2, question 12: Venn diagrams and overlapping events. The question before answering.
Venn diagrams and overlapping events · Sample question

What is in this course?

Follow the topics in order, or find the section you are studying now.

1 Sets, odds and probability review

112 practice problems

  • 1.1 Sets and complements28 problems
  • 1.2 Venn diagrams and overlapping events28 problems
  • 1.3 Odds and probability28 problems
  • 1.4 Probability rules and mutually exclusive events28 problems

2 Counting methods

112 practice problems

  • 2.1 Fundamental counting principle28 problems
  • 2.2 Permutations and arrangements28 problems
  • 2.3 Combinations and selections28 problems
  • 2.4 Pathways and Pascal’s triangle28 problems

3 Probability and decisions

112 practice problems

  • 3.1 Conditional probability28 problems
  • 3.2 Independent and dependent events28 problems
  • 3.3 Binomial probability28 problems
  • 3.4 Expected value and fair games28 problems

4 Polynomial graphs and regression

112 practice problems

  • 4.1 Reading polynomial graphs28 problems
  • 4.2 Quadratic regression and predictions28 problems
  • 4.3 Higher-degree models and fitted values28 problems
  • 4.4 Choosing models and comparing residuals28 problems

5 Exponential and logarithmic models

112 practice problems

  • 5.1 Exponential graphs and growth factors28 problems
  • 5.2 Exponential regression and contexts28 problems
  • 5.3 Logarithmic graphs and domains28 problems
  • 5.4 Logarithmic regression and predictions28 problems

6 Sinusoidal models and reliability

112 practice problems

  • 6.1 Reading sinusoidal graphs28 problems
  • 6.2 Periodic models and applications28 problems
  • 6.3 Comparing regression fits28 problems
  • 6.4 Interpolation, extrapolation and limitations28 problems

7 Constructions and conic explorations

112 practice problems

  • 7.1 Perpendicular bisectors and locus reasoning28 problems
  • 7.2 Tangents and geometric constructions28 problems
  • 7.3 Circles, ellipses, parabolas and hyperbolas28 problems
  • 7.4 Conic applications and focal properties28 problems

8 Tessellations and fractals

108 practice problems

  • 8.1 Tessellations and angle conditions27 problems
  • 8.2 Cantor sets and repeated removal27 problems
  • 8.3 Sierpinski triangles and area patterns27 problems
  • 8.4 Koch curves, perimeter and area27 problems

9 Personal financial planning

108 practice problems

  • 9.1 Mortgages and amortization models27 problems
  • 9.2 Credit cards and repayment schedules27 problems
  • 9.3 Portfolios, expected return and risk27 problems
  • 9.4 Banking options and changing rates27 problems

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