Participation: The exam was written by 179 students, although 189 had registered and paid the non-refundable fee. Among the 179 students who wrote, 166 earned a raw score of 10% or higher. All statistics that follow refer to this group of 166.
Summary: Of the 166 students discussed below, 110 earned a score of 50% or better. In other words, 66% of the participants passed the test and are eligible to claim credit at a sponsoring university. The median grade was 61%. (These scores reflect a modest upward scaling.)
Scores of 85% or higher were earned by 19 students; scores below 30% were recorded by 14 students. There were six raw scores above 85%: scaling boosted these into the 90's.
Details: For each question, the following table shows the scores that separate the participants into four equally-sized groups. The median score divides the group in half; quartiles 1 and 3 bisect the lower and upper halves again. Scores are reported using percentages instead of individual points to make comparisons easier.
Question | Point Value | Quartile 1 (%) | Median (%) | Quartile 3 (%) |
Q1 (derivatives) | 6 | 83 | 100 | 100 |
Q2 (tan line) | 4 | 50 | 100 | 100 |
Q3 (implicit diff) | 5 | 40 | 100 | 100 |
Q4 (linear approx) | 7 | 0 | 14 | 43 |
Q5 (limits) | 6 | 50 | 50 | 83 |
Q6 (logarithmic diff) | 6 | 17 | 33 | 79 |
Q7 (given accel) | 8 | 53 | 75 | 100 |
Q8 (Newton's Law of Cooling) | 9 | 22 | 33 | 89 |
Q9 (differentiability) | 6 | 0 | 0 | 0 |
Q10 (related rates) | 9 | 11 | 22 | 56 |
Q11 (practical optimization) | 9 | 11 | 44 | 89 |
Q12 (moving particle) | 9 | 46 | 67 | 82 |
Q13 (curve sketching) | 9 | 0 | 22 | 44 |
Q14 (finding areas) | 7 | 0 | 14 | 57 |
Here are links to the Exam Questions, Detailed Sample Solutions, and Comments from the Graders.
Scaling: Modest upward scaling was applied.