Purpose: Identify gaps in prerequisite knowledge from MCR3U (sets, basic probability, fractions, ratios).
Be honest — this is descriptive feedback, not a grade. Topics: simplifying fractions, simple probability, set notation, basic counting.
Prerequisite Knowledge from MCR3U
Question 1 [3 marks]
Reduce the following fractions to lowest terms:
a) \( \dfrac{12}{16} \) b) \( \dfrac{45}{60} \) c) \( \dfrac{144}{384} \)
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Question 2 [3 marks]
A standard deck has 52 cards: 4 suits, 13 ranks each. State, as fractions in lowest terms:
a) \( P(\text{Heart}) \) b) \( P(\text{King}) \) c) \( P(\text{Red card}) \)
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Question 3 [2 marks]
If a fair die is rolled once, list the sample space \( S \) and find \( P(\text{rolling a prime number}) \). Recall: a prime number has exactly two distinct positive divisors.
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Question 4 [2 marks]
Two sets are given: \( A = \{1,2,3,4,5\} \) and \( B = \{4,5,6,7\} \). Find:
a) \( A \cup B \) b) \( A \cap B \) c) \( |A| + |B| - |A \cap B| \)
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Question 5 [3 marks]
A spinner has 8 equal sectors numbered 1–8. Find:
a) \( P(\text{even}) \) b) \( P(\text{multiple of 3}) \) c) \( P(\text{even AND multiple of 3}) \)
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Question 6 [3 marks]
A restaurant menu has 4 appetizers and 5 main courses. How many different two-course meals (1 appetizer + 1 main) are possible? Show your reasoning.
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Question 7 [3 marks]
Reflection: Which prerequisite skill from MCR3U do you feel least confident about: simplifying fractions, basic probability, or set notation? What concept is unclear?
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