S5 Geography | River Landforms and Management Paper 3 (Challenge)
- 2026-11-04
S5 Geography | River Landforms and Management Paper 3 (Challenge)
Paper 3 turns to planning and management decisions: levee cost, detention basin fill time, the effect of cut-offs on velocity, wetland storage share, bank erosion losses, reservoir life, payback and mixing of effluent.
Price the management options Allow about thirty-five minutes; state your assumptions, since cost, payback and mixing all use simplified models.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 items |
| Suggested time | About 35 minutes |
| Difficulty mix | Foundation 2 · Intermediate 3 · Challenge 4 · Error redo 1 |
| Chapter | Chapter: S5 Geography | River Landforms and Management |
| Level | S5 (Secondary 5) Geography |
02 Questions (10 items)
- FoundationA 4.2 km levee costs $2,800 per metre. What is the total cost?
- FoundationA detention basin holds 120,000 m³ with inflow of 45 m³/s and outflow of 12 m³/s. How long to fill from empty?
- IntermediateA cut-off shortens a channel from 6.8 km to 4.2 km. By what factor does the gradient rise, and the velocity if it scales with the square root of gradient?
- IntermediateEighteen hectares of wetland can hold 0.15 m of water. What volume is that, and what share of the 4,590,000 m³ flood?
- IntermediateA bank retreats 0.8 m a year along a 1,200 m reach. How much farmland is lost each year, and how long to lose 2.5 hectares?
- ChallengeA reservoir of 60 million m³ silt up 2.4 million m³ a year. When is it full, and when has it lost 40% of its storage?
- ChallengeA scheme cuts annual flood losses from $4.5M to $0.8M and costs $74M. What is the simple payback period?
- ChallengeA 2-year flood peaks at 120 m³/s and a 50-year flood at 620 m³/s. What is the ratio, and what does it imply?
- ChallengeA factory discharges 0.35 m³/s at 12 mg/L BOD into a river flowing at 1.4 m³/s with 2 mg/L. What is the mixed BOD?
- Error redoError retry: a student argues that upstream tree planting cutting peak flow by 25% makes a levee unnecessary. On a 212.5 m³/s peak, what is left, and why may it still flood?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | $11,760,000 (4,200 × 2,800). | Work in metres: 4.2 km is 4,200 m, and using kilometres understates the cost a thousandfold. |
| 2 | About 60.6 minutes, on a net inflow of 33 m³/s. | Use the net rate, 45 minus 12; using the gross inflow understates how long the basin takes to fill. |
| 3 | Gradient 1.62 times; velocity about 1.27 times. | Velocity is not proportional to gradient; the square-root relation makes the velocity gain smaller than the gradient gain. |
| 4 | 27,000 m³, about 0.59% of the flood. | Wetland storage is small against total flood volume; its value is in slowing the flow, not containing all of it. |
| 5 | 960 m² or 0.096 hectares a year; about 26 years for 2.5 hectares. | Divide square metres by 10,000 for hectares; treating 960 as hectares is out by a factor of ten thousand. |
| 6 | Full in 25 years; 40% of storage is lost after 15 years (36 million m³). | Track both the full-capacity and the effective-storage thresholds; the second arrives far earlier. |
| 7 | 20 years (74 / 3.7). | This counts direct losses only; avoided casualties and business interruption usually make the real return better. |
| 8 | About 5.17 times; discharge is not linear in return period, so rare floods are far more destructive than intuition suggests. | Designing on an average flow badly understates the load; design must use the discharge for a stated return period. |
| 9 | 4.0 mg/L ((12×0.35 + 2×1.4) / 1.75). | Use a flow-weighted mean; simply averaging the two concentrations overstates river pollution. |
| 10 | 159.4 m³/s; if the channel safe capacity is lower than that it still floods, so soft measures must be combined with hard ones. | Soft measures cut the peak modestly but cheaply and with ecological gains; hard engineering holds water back at high cost. It is not either-or. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
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