On a Quiz There Are Four Questions
Questions: 16 · 10 minutes
1. If each of four questions is worth one point, how many different total scores are possible?
4
8
5
16
2. A student misses one question on an equally weighted four-question quiz. What percentage of the questions did the student answer correctly?
75%
25%
80%
90%
3. If someone guesses randomly on all four four-choice questions, what is the expected number of correct answers?
0.5
2
1
0.25
4. A four-question quiz contains two true-or-false questions and two questions with four choices each. How many complete answer patterns are possible?
32
64
16
256
5. Why does one incorrect response reduce the score by 25 percentage points on an equally weighted four-question quiz?
Four questions always produce a 25% passing threshold
Incorrect answers automatically remove a quarter of the earned points
Each question represents one-fourth of the available score
Every wrong answer counts twice when percentages are calculated
6. A learner answers three of four equally weighted questions correctly. What percentage score do they receive?
75%
70%
80%
60%
7. Each of four questions is worth two points, with no partial credit. Which set lists every possible total score?
0, 1, 2, 3, 4
0, 2, 4, 6, 8
2, 4, 6, 8
0, 2, 4, 8
8. A learner knows the answers to two questions and randomly guesses on the other two, which each have four choices. What is the probability of earning a perfect score?
1/8
1/16
1/4
1/32
9. A teacher has four topic areas and chooses two different areas to cover on a short quiz. How many distinct pairs of topic areas can be chosen?
6
4
8
12
10. A teacher must keep a quiz at four questions but wants it to represent the taught material more broadly. Which change best supports that goal?
Choose four questions from the final lesson only
Use four versions of the hardest calculation
Ask the same concept four times with different wording
Select one question from each of four important learning objectives
11. With random guessing on four independent four-choice questions, what is the probability of getting at least three correct?
13/256
12/256
16/256
3/16
12. What is the probability of getting all four questions wrong when guessing randomly among four choices each time?
3/16
81/256
27/256
1/256
13. A passing score is defined as at least 50% on an equally weighted four-question quiz. What is the minimum number of correct answers needed to pass?
1
3
4
2
14. On every question, a test-taker can eliminate one of four choices and then guesses among the remaining three. What is the probability of answering all four correctly?
1/12
1/27
1/64
1/81
15. Each of four questions has four answer choices. How many complete answer patterns are possible?
64
16
256
128
16. A person guesses randomly on four independent questions, each with four choices. What is the probability of getting all four correct?
1/16
1/64
1/4
1/256