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Per-capita water consumption

Divide total daily community water use by population to find per-capita consumption in litres. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 13-15

Per-capita water consumption

Take your time. Show your thinking.

1. Population density is 7700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 4 km from the centre?
7700 · 75 · 4 km · Per-capita water consumption
2. Population density is 5800 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 2 km from the centre?
5800 · 200 · 2 km · Per-capita water consumption
3. Population density is 8400 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 7 km from the centre?
8400 · 125 · 7 km · Per-capita water consumption
4. Population density is 4200 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 8 km from the centre?
4200 · 75 · 8 km · Per-capita water consumption
5. Population density is 6100 people/km² in the city centre and falls by 175 people/km² for each kilometre outward. What is the density 2 km from the centre?
6100 · 175 · 2 km · Per-capita water consumption
6. Population density is 7100 people/km² in the city centre and falls by 225 people/km² for each kilometre outward. What is the density 6 km from the centre?
7100 · 225 · 6 km · Per-capita water consumption
7. Population density is 7900 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 6 km from the centre?
7900 · 125 · 6 km · Per-capita water consumption
8. Population density is 3400 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 2 km from the centre?
3400 · 75 · 2 km · Per-capita water consumption
9. Population density is 5500 people/km² in the city centre and falls by 50 people/km² for each kilometre outward. What is the density 5 km from the centre?
5500 · 50 · 5 km · Per-capita water consumption
10. Population density is 4000 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 8 km from the centre?
4000 · 125 · 8 km · Per-capita water consumption
11. Population density is 5400 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 7 km from the centre?
5400 · 200 · 7 km · Per-capita water consumption
12. Population density is 8700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 7 km from the centre?
8700 · 75 · 7 km · Per-capita water consumption

12 questions · Seed 43 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Per-capita water consumption

Answers and reasoning. Review before teaching.

1. Population density is 7700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 4 km from the centre?
7400 people/km²
Density drop = 4 × 75 = 300; 7700 − 300 = 7400 people/km².
2. Population density is 5800 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 2 km from the centre?
5400 people/km²
Density drop = 2 × 200 = 400; 5800 − 400 = 5400 people/km².
3. Population density is 8400 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 7 km from the centre?
7525 people/km²
Density drop = 7 × 125 = 875; 8400 − 875 = 7525 people/km².
4. Population density is 4200 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 8 km from the centre?
3600 people/km²
Density drop = 8 × 75 = 600; 4200 − 600 = 3600 people/km².
5. Population density is 6100 people/km² in the city centre and falls by 175 people/km² for each kilometre outward. What is the density 2 km from the centre?
5750 people/km²
Density drop = 2 × 175 = 350; 6100 − 350 = 5750 people/km².
6. Population density is 7100 people/km² in the city centre and falls by 225 people/km² for each kilometre outward. What is the density 6 km from the centre?
5750 people/km²
Density drop = 6 × 225 = 1350; 7100 − 1350 = 5750 people/km².
7. Population density is 7900 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 6 km from the centre?
7150 people/km²
Density drop = 6 × 125 = 750; 7900 − 750 = 7150 people/km².
8. Population density is 3400 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 2 km from the centre?
3250 people/km²
Density drop = 2 × 75 = 150; 3400 − 150 = 3250 people/km².
9. Population density is 5500 people/km² in the city centre and falls by 50 people/km² for each kilometre outward. What is the density 5 km from the centre?
5250 people/km²
Density drop = 5 × 50 = 250; 5500 − 250 = 5250 people/km².
10. Population density is 4000 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 8 km from the centre?
3000 people/km²
Density drop = 8 × 125 = 1000; 4000 − 1000 = 3000 people/km².
11. Population density is 5400 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 7 km from the centre?
4000 people/km²
Density drop = 7 × 200 = 1400; 5400 − 1400 = 4000 people/km².
12. Population density is 8700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 7 km from the centre?
8175 people/km²
Density drop = 7 × 75 = 525; 8700 − 525 = 8175 people/km².

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Per-capita water consumption

Take your time. Show your thinking.

1. Population density is 7700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 4 km from the centre?
7700 · 75 · 4 km · Per-capita water consumption
2. Population density is 5800 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 2 km from the centre?
5800 · 200 · 2 km · Per-capita water consumption
3. Population density is 8400 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 7 km from the centre?
8400 · 125 · 7 km · Per-capita water consumption
4. Population density is 4200 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 8 km from the centre?
4200 · 75 · 8 km · Per-capita water consumption
5. Population density is 6100 people/km² in the city centre and falls by 175 people/km² for each kilometre outward. What is the density 2 km from the centre?
6100 · 175 · 2 km · Per-capita water consumption
6. Population density is 7100 people/km² in the city centre and falls by 225 people/km² for each kilometre outward. What is the density 6 km from the centre?
7100 · 225 · 6 km · Per-capita water consumption
7. Population density is 7900 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 6 km from the centre?
7900 · 125 · 6 km · Per-capita water consumption
8. Population density is 3400 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 2 km from the centre?
3400 · 75 · 2 km · Per-capita water consumption
9. Population density is 5500 people/km² in the city centre and falls by 50 people/km² for each kilometre outward. What is the density 5 km from the centre?
5500 · 50 · 5 km · Per-capita water consumption
10. Population density is 4000 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 8 km from the centre?
4000 · 125 · 8 km · Per-capita water consumption
11. Population density is 5400 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 7 km from the centre?
5400 · 200 · 7 km · Per-capita water consumption
12. Population density is 8700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 7 km from the centre?
8700 · 75 · 7 km · Per-capita water consumption

12 questions · Seed 43 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Per-capita water consumption

Answers and reasoning. Review before teaching.

1. Population density is 7700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 4 km from the centre?
7400 people/km²
Density drop = 4 × 75 = 300; 7700 − 300 = 7400 people/km².
2. Population density is 5800 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 2 km from the centre?
5400 people/km²
Density drop = 2 × 200 = 400; 5800 − 400 = 5400 people/km².
3. Population density is 8400 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 7 km from the centre?
7525 people/km²
Density drop = 7 × 125 = 875; 8400 − 875 = 7525 people/km².
4. Population density is 4200 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 8 km from the centre?
3600 people/km²
Density drop = 8 × 75 = 600; 4200 − 600 = 3600 people/km².
5. Population density is 6100 people/km² in the city centre and falls by 175 people/km² for each kilometre outward. What is the density 2 km from the centre?
5750 people/km²
Density drop = 2 × 175 = 350; 6100 − 350 = 5750 people/km².
6. Population density is 7100 people/km² in the city centre and falls by 225 people/km² for each kilometre outward. What is the density 6 km from the centre?
5750 people/km²
Density drop = 6 × 225 = 1350; 7100 − 1350 = 5750 people/km².
7. Population density is 7900 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 6 km from the centre?
7150 people/km²
Density drop = 6 × 125 = 750; 7900 − 750 = 7150 people/km².
8. Population density is 3400 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 2 km from the centre?
3250 people/km²
Density drop = 2 × 75 = 150; 3400 − 150 = 3250 people/km².
9. Population density is 5500 people/km² in the city centre and falls by 50 people/km² for each kilometre outward. What is the density 5 km from the centre?
5250 people/km²
Density drop = 5 × 50 = 250; 5500 − 250 = 5250 people/km².
10. Population density is 4000 people/km² in the city centre and falls by 125 people/km² for each kilometre outward. What is the density 8 km from the centre?
3000 people/km²
Density drop = 8 × 125 = 1000; 4000 − 1000 = 3000 people/km².
11. Population density is 5400 people/km² in the city centre and falls by 200 people/km² for each kilometre outward. What is the density 7 km from the centre?
4000 people/km²
Density drop = 7 × 200 = 1400; 5400 − 1400 = 4000 people/km².
12. Population density is 8700 people/km² in the city centre and falls by 75 people/km² for each kilometre outward. What is the density 7 km from the centre?
8175 people/km²
Density drop = 7 × 75 = 525; 8700 − 525 = 8175 people/km².

12 questions · Seed 43 · Age guidance, not curriculum certification