| Exam Board | AQA |
|---|---|
| Module | Further AS Paper 2 Discrete (Further AS Paper 2 Discrete) |
| Year | 2018 |
| Session | June |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Groups |
| Type | Non-group structures |
| Difficulty | Easy -1.2 This is a straightforward multiple-choice question requiring students to check which modular operations produce the given table entries (2⊕2=?, 2⊕3=1, 3⊕2=1, 3⊕3=?). It involves simple arithmetic calculations with no problem-solving or proof required—students just verify each option systematically. While it tests understanding of modular arithmetic, it's computationally trivial and below average difficulty for Further Maths. |
| Spec | 8.02e Finite (modular) arithmetic: integers modulo n |
| \cline { 2 - 3 } \multicolumn{1}{c|}{} | 2 | 3 |
| 2 | 1 | |
| 3 | 1 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Addition mod 4 and Multiplication mod 5 | B1 | Ticks correct box |
## Question 1:
| Answer | Marks | Guidance |
|--------|-------|----------|
| Addition mod 4 and Multiplication mod 5 | B1 | Ticks correct box |
**Total: 1 mark**
---1 The table shows some of the outcomes of performing a modular arithmetic operation.
\begin{center}
\begin{tabular}{ | l | l | l | }
\cline { 2 - 3 }
\multicolumn{1}{c|}{} & 2 & 3 \\
\hline
2 & & 1 \\
\hline
3 & 1 & \\
\hline
\end{tabular}
\end{center}
Which pair are operations that could each be represented by the table?\\
Tick ( ✓ ) one box.\\
\includegraphics[max width=\textwidth, alt={}, center]{5a826f8b-4751-4589-ad0a-109fc5c821f2-02_109_111_1338_497}
Addition $\bmod 6$ and multiplication $\bmod 5$\\
\includegraphics[max width=\textwidth, alt={}, center]{5a826f8b-4751-4589-ad0a-109fc5c821f2-02_108_109_1471_497}
Addition mod 6 and multiplication $\bmod 6$\\
\includegraphics[max width=\textwidth, alt={}, center]{5a826f8b-4751-4589-ad0a-109fc5c821f2-02_113_109_1603_497}
Addition mod 4 and multiplication $\bmod 5$\\
\includegraphics[max width=\textwidth, alt={}, center]{5a826f8b-4751-4589-ad0a-109fc5c821f2-02_107_109_1742_497}
Addition mod 4 and multiplication mod 6
\hfill \mbox{\textit{AQA Further AS Paper 2 Discrete 2018 Q1 [1]}}