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Placement Test Practice — Other Math
This practice test covers propositional logic, set operations, counting and combinatorics, sequences and induction, modular arithmetic, and basic graph theory. Build truth tables, compute permutations and combinations, solve recurrences, and analyze graph properties.
Placement Test Practice — Other Math
Practice Test — 18 Questions
1. What does $\neg p$ mean?
2. Find $\{1,2\} \cup \{2,3\}$.
3. Find $\{1,2\} \cap \{2,3\}$.
4. Compute $5!$.
5. Compute $P(5,2)$.
6. Compute $\binom{6}{2}$.
7. What is the next arithmetic term: $10,13,16,\dots$?
8. What is the next geometric term: $2,6,18,\dots$?
9. Name the two parts of induction.
10. Compute $19 \bmod 4$.
11. Compute $28 \bmod 7$.
12. What does congruent modulo mean?
13. What is a graph vertex?
14. What is an edge?
15. When do you use combinations?
16. When do you use permutations?
17. What is recursion?
18. What does $p \land q$ mean?
Show Answer Key
1. Not $p$
2. $\{1,2,3\}$
3. $\{2\}$
4. $120$
5. $20$
6. $15$
7. $19$
8. $54$
9. Base case and inductive step
10. $3$
11. $0$
12. Same remainder after division by the modulus
13. A node in a graph
14. A connection between vertices
15. When order does not matter
16. When order matters
17. Defining terms using earlier terms
18. Both statements are true