Measurement and Units in 11-Plus Mathematics

Measurement and Units

Understanding units of measurement is crucial for success in the 11-plus mathematics exam. This topic covers various aspects of measurement, including metric and imperial units, and the ability to convert between them.

Metric Units

Metric units are based on the decimal system and are widely used in many countries. The primary metric units for measurement include:

• Length: millimeters (mm), centimeters (cm), meters (m), and kilometers (km)
• Mass: grams (g) and kilograms (kg)
• Capacity: milliliters (ml) and liters (l)

Converting Between Metric Units

To convert between metric units, it is essential to understand the relationships between them. Here are some key conversions:

• 1 cm = 10 mm
• 1 m = 100 cm
• 1 km = 1000 m
• 1 kg = 1000 g
• 1 l = 1000 ml

Worked Example

Problem: Convert 2500 grams to kilograms.

Solution:

• Since 1 kg = 1000 g, divide 2500 g by 1000.
• 2500 g ÷ 1000 = 2.5 kg.

Understanding Imperial Units

In addition to metric units, it is important to be familiar with imperial units, which are still used in some regions. Common imperial units include:

• Length: miles
• Mass: pounds (lbs)
• Capacity: pints

Converting Between Metric and Imperial Units

Converting between metric and imperial units requires specific conversion factors. Here are some standard conversions:

• 1 mile = 1.60934 km
• 1 pound = 0.453592 kg
• 1 pint = 0.568261 l

Worked Example

Problem: Convert 5 miles to kilometers.

Solution:

• Using the conversion factor, multiply 5 miles by 1.60934.
• 5 miles × 1.60934 = 8.0467 km.

Conclusion

Mastering measurement and units is essential for the 11-plus mathematics exam. Practice converting between different units and familiarize yourself with both metric and imperial systems to enhance your problem-solving skills.