AP Calculus AB Applications of Integration — Unit Test
A full end-of-unit test, written to the shape of the real thing: 14 multiple choice and 5 free response, 106 marks in 80 minutes, calculator not permitted. This page describes the paper. The paper and its mark scheme come with the AP Calculus AB bundle.
Unit test — in the bundle
Not sold separately. The printed paper has working space under every part, which is what you want if you are timing yourself.
What is on the paper
19 questions, plus 2 bonus questions outside the marks and the time. The free-response half is 5 questions in 19 parts.
Part I — Multiple choice
- 14 multiple-choice questions, 3 marks each
Part II — Free response
- Free response 1 — 13 marks, 4 parts
- Free response 2 — 14 marks, 4 parts
- Free response 3 — 13 marks, 4 parts
- Free response 4 — 13 marks, 4 parts
- Free response 5 — 11 marks, 3 parts
Bonus — not counted
- 2 bonus questions, not counted
How to get something out of it. Do the whole paper in one sitting, closed-book, with a timer — a test taken with the notes open measures your reading, not your recall. Mark it afterwards, and treat every question you got right for the wrong reason as one you got wrong.
The paper and its mark scheme
The mark scheme gives each question's answer and says what each mark is for, which matters most on the free-response half: on a question that asks you to justify, the sentence is the mark. Both documents are in the AP Calculus AB Solutions Bundle. The Applications of Integration practice worksheet is free, and it practises the same unit.
Every AP Calculus AB topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 8 AP Calculus AB units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — this paper and its mark scheme included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions