Measurement and geometry questions make up a significant portion of the LANTITE numeracy test. Understanding how to solve practical, real-world problems is key to success. Let's explore these concepts through a real example from our question bank.
A Real-World Example
Sample Question:
A bedroom wall is 4.2m wide and 2.5m high. If it is going to be covered in wallpaper at a cost of $30 per square metre, how much will the wallpaper cost?
Step-by-Step Solution:
- 1. Calculate the wall area:
- • Area = Width × Height
- • Area = 4.2m × 2.5m
- • Area = 10.5 square metres
- 2. Calculate the total cost:
- • Cost = Area × Cost per square metre
- • Cost = 10.5m² × $30/m²
- • Cost = $315.00
Key Concepts in Measurement
Area Calculations
- Rectangles: length × width
- Triangles: ½ × base × height
- Circles: π × radius²
Common Unit Conversions
- 1 m = 100 cm = 1000 mm
- 1 m² = 10000 cm²
- 1 m³ = 1000 L
Problem-Solving Strategy
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Read Carefully:
Identify the given measurements and what you need to find. In our example: wall dimensions and cost per square metre.
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Draw a Diagram:
Visualize the problem by sketching the shape and labeling dimensions when possible.
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Check Units:
Ensure all measurements are in compatible units before calculating.
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Verify Answer:
Check if your answer is reasonable. For area cost problems, estimate rough figures first.
Common Pitfalls to Avoid
- Confusing area and perimeter calculations
- Forgetting to convert units before calculating
- Not reading the full question requirements
- Missing steps in multi-step problems
Ready to Master Measurement & Geometry?
Practice with our comprehensive question bank and step-by-step solutions.