16 exam-style questions, easiest to hardest. The first few are warm-ups. The last one is the long, demanding one.
- 143 marks
- about 2 h 25
- Syllabus 1.2 arithmetic, 1.3 geometric
You need: Terms and sums, sigma notation, a calculator table or graph. Percentage error in question 13 only.
Goes with: 12.1.1 Arithmetic Sequences · 12.1.2 Arithmetic Series · 12.1.3 Geometric Sequences · 12.1.4 Series & Sigma Notation · 12.1.5 Geometric Series · 12.1.6 Mixed Practice & Exam Prep
On paper
Question by question
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| Q | What it tests | Marks | Open | Sister |
|---|---|---|---|---|
| 1 | Sigma notation, evaluate a sum | 5 | NUMB-L2-80 | NUMB-L2-74 |
| 2 | Arithmetic model against an actual value | 6 | NUMB-L2-92 | NUMB-L2-14 |
| 3 | Geometric term, sum, partial sum | 6 | GEOM-L2-0050 | GEOM-L2-0053 |
| 4 | Arithmetic term, sum, mean | 7 | ARIT-L2-0002 | ARIT-L2-57 |
| 5 | Geometric, ratio 2/3: term and sum | 5 | GEOM-L2-0052 | GEOM-L2-82 |
| 6 | Simple interest as an arithmetic sequence | 8 | ARIT-L2-0003 | ARIT-L2-98 |
| 7 | Expressions in n; rows from a total | 11 | ARIT-L2-0001 | ARIT-L2-0004 |
| 8 | Second-year total, S24 − S12 | 7 | GEOM-L3-0014 | GEOM-L3-52 |
| 9 | Table, kth term, total of increases | 7 | GEOM-L3-0012 | GEOM-L3-95 |
| 10 | Show that r is negative; total distance | 7 | GEOM-L3-0011 | GEOM-L3-0015 |
| 11 | Arithmetic v geometric: who gets there first | 6 | ARIT-L3-0001 | ARIT-L3-78 |
| 12 | Sigma notation in context | 12 | ARIT-L3-0003 | ARIT-L3-0005 |
| 13 | Data that is not perfectly arithmetic | 12 | ARIT-L3-0004 | ARIT-L3-66 |
| 14 | Two terms, run-out, sigma, comment on model | 13 | GEOM-L3-0013 | GEOM-L3-80 |
| 15 | Minimum integer d; step back a term | 15 | ARIT-L3-0002 | ARIT-L3-58 |
| 16 | Geometric v arithmetic, justify, reverse | 16 | GEOM-L4-0004 | GEOM-L4-0005 |