MathsFreePrintable

Forestry Math Exploration

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Forestry Math Exploration

You are helping plan a young native-forest restoration site in Aotearoa New Zealand. Use ratios, rates and scale to make practical decisions. Show working where needed; give units with answers.

Planting patterns

The team is testing planting mixes and spacing for a restoration block.

1.A trial plot uses 6 mānuka seedlings for every 4 kānuka seedlings. Write this as a simplified ratio of mānuka to kānuka.

2.The nursery has 180 mānuka seedlings and 120 kānuka seedlings. Does this stock match the trial-plot ratio of 3:2? Explain using a calculation.

3.The planting plan uses 5 seedlings per 12 m². At the same rate, how many seedlings are needed for a 360 m² plot?

4.A planting crew places seedlings 2.5 m apart in each row. Which calculation gives the number of seedlings along a straight 50 m row, if a seedling is planted at each end?

50 ÷ 2.5 = 20 seedlings
50 ÷ 2.5 + 1 = 21 seedlings
50 × 2.5 = 125 seedlings
50 + 2.5 = 52.5 seedlings

Nursery supplies and mixtures

Use the information below to compare supplies and plan a seedling treatment.

Tray type

Seedlings per tray

Trays delivered

Mānuka

Kānuka

5.Using the tray delivery information, find the ratio of total mānuka seedlings to total kānuka seedlings. Simplify it.

6.A seedling treatment is mixed using concentrate and water in the ratio 1:24. How much water is needed for 750 mL of concentrate, and what is the total mixture volume?

7.A volunteer team plants 420 seedlings in 3.5 hours at a steady rate. How many seedlings does the team plant per hour?

Scale and decisions

Check how scale and proportional changes affect the restoration plan.

8.On a site plan, 1 cm represents 25 m. A stream buffer measures 7.2 cm on the plan. What is its real length in metres?

9.The plan ratio of planted land to protected buffer is 7:2. If the total site is 27 hectares, how many hectares are planted and how many are protected?

10.The plan originally called for 240 seedlings. A revised survey shows the planted area is 15% larger, and the planting density stays the same. How many seedlings should the team now order?

11.Explain why keeping the same seedling spacing matters when the planted area increases. Include one effect of using too few seedlings and one effect of using too many.