Quick Mental Checks: Real-world Applications in Nature & Environment
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on quick mental estimation techniques applied to real-world environmental scenarios. Designed to develop quick calculation skills and reasoning.
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Quick Mental Checks: Real-world Applications in Nature & Environment
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Estimate the total number of trees in a forest area of approximately 150 hectares if each hectare contains about 150 trees.
[2 marks]2.
A river basin covers roughly 800 square kilometers. If about 5% of this area is wetlands, estimate the area of wetlands in square kilometers.
[2 marks]3.
Plot the graph of y=2x for x values from 0 to 10 on the grid.
[2 marks]4.
Construct a triangle with sides approximately 7, 10, and 12 units on the grid. Ensure the sides are roughly proportional to these lengths.
[3 marks]5.
Estimate the number of plastic bottles recycled in a city where about 60,000 bottles are recycled daily. If recycling efficiency is about 85%, how many bottles are effectively processed?
[2 marks]6.
A forest regenerates approximately 250 new trees each month. If the forest is currently estimated to have about 120,000 trees, roughly how many months will it take to double the current number assuming steady growth?
[2 marks]7.
A nature reserve is 45 km long. If a patrol team covers about 8 km each day, estimate how many days it will take to patrol the entire reserve.
[2 marks]8.
Common mistake: Estimating 150 hectares as 1500 hectares. Identify and correct this error in estimation.
[3 marks]9.
In a coastal region, approximately 3,000 liters of rain fall daily. If 25% of this water drains into the ocean, estimate the volume of rainwater contributing to ocean flow each day.
[2 marks]10.
Challenge Question: A wetland stretches over 120 km². If approximately 2.5% of the wetland is made up of small ponds, estimate the total area of ponds.
[3 marks]11.
Estimate the number of leaves in a single tree if one branch has about 200 leaves, and the tree has roughly 20 branches. Round your estimate to the nearest hundred.
[2 marks]12.
Error Analysis: A student estimates the total CO2 absorption of a forest to be 1,500,000 kg annually by multiplying 10,000 kg per hectare by 150 hectares. The actual absorption rate per hectare is closer to 12,000 kg. What is the corrected total absorption estimate?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet