| Exam Board | AQA |
|---|---|
| Module | Paper 3 (Paper 3) |
| Session | Specimen |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Areas by integration |
| Type | Area under polynomial curve |
| Difficulty | Easy -1.8 This is a 1-mark multiple choice question requiring recognition that the area under y = x² - 9 from x = -3 to x = 3 equals ∫(x² - 9)dx = [x³/3 - 9x] = 0 - (-18) = -18, or that by symmetry it's 2∫₀³(x² - 9)dx. It's purely routine integration with no problem-solving, made even easier by being multiple choice where students can eliminate obviously wrong answers. |
| Spec | 1.08e Area between curve and x-axis: using definite integrals |
| Answer | Marks | Guidance |
|---|---|---|
| 1 | Circles correct answer | AO1.1b |
| Total | 1 |
Question 1:
1 | Circles correct answer | AO1.1b | B1 | 18
Total | 1The graph of $y = x^2 - 9$ is shown below.
\includegraphics{figure_1}
Find the area of the shaded region.
Circle your answer.
[1 mark]
$-18$ \quad\quad $-6$ \quad\quad $6$ \quad\quad $18$
\hfill \mbox{\textit{AQA Paper 3 Q1 [1]}}