16 exam-style questions, easiest to hardest. The first few are warm-ups. The last one is the long, demanding one.
- 120 marks
- about 2 h
- Syllabus 1.6 rounding, bounds, percentage error, estimation; 1.1 standard form
You need: Rounding, bounds, percentage error. Also standard form (questions 3, 7c, 11c), the volume of a cylinder (9, 16), Pythagoras and right-angled trigonometry (12), compound interest (14) and sequences (15).
Goes with: 12.2.4 Rounding and percentage error
On paper
Question by question
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| Q | What it tests | Marks | Open | Sister |
|---|---|---|---|---|
| 1 | Decimal places and significant figures | 2 | NUMB-L1-0028 | NUMB-L1-0032 |
| 2 | Percentage error; over or under | 3 | NUMB-L1-0030 | NUMB-L1-30 |
| 3 | Calculating in standard form | 6 | NUMB-L2-48 | NUMB-L2-68 |
| 4 | Upper bounds; is 20 m enough? | 5 | NUMB-L2-40 | NUMB-L2-83 |
| 5 | Estimating by rounding; when it is appropriate | 7 | NUMB-L2-27 | NUMB-L2-76 |
| 6 | Greatest speed: upper ÷ lower bound | 7 | NUMB-L3-29 | NUMB-L3-0038 |
| 7 | % error, 3 s.f., standard form | 5 | APPR-L2-0002 | APPR-L2-39 |
| 8 | Fraction for √2; which is more accurate | 6 | APPR-L2-0003 | APPR-L2-29 |
| 9 | Upper bound, largest volume, % error | 6 | APPR-L2-0001 | APPR-L2-0004 |
| 10 | Working back from a 4% error | 5 | APPR-L3-0003 | APPR-L3-14 |
| 11 | Rounded conversion factor, maximum area | 8 | APPR-L3-0001 | APPR-L3-0008 |
| 12 | Bounds through Pythagoras; show it is legal | 7 | APPR-L3-0002 | APPR-L3-62 |
| 13 | Rule of thumb v actual time; units | 9 | APPR-L3-0005 | APPR-L3-86 |
| 14 | Savings: estimate, bound of a rate, decision | 12 | APPR-L3-0006 | APPR-L3-27 |
| 15 | Sequences with rounding, bounds and % error | 17 | APPR-L3-0007 | APPR-L3-15 |
| 16 | Tank: bounds of a volume, largest % error | 15 | APPR-L4-0001 | APPR-L4-0002 |