Measuring and Estimating Skills

Year 9–10 Mathematics

Name:

Date:

📏 Part 1: Estimate and Measure

Choose three classroom objects and complete the table below. First record your estimate, then use the correct tool to find the actual measurement. Finally, convert your measurement into another metric unit.

1. Object 1 — Length

Object: _______________________

Estimate: _________ cm Actual measurement: _________ cm Convert to metres: _________ m

Show your conversion working:

2. Object 2 — Mass

Object: _______________________

Estimate: _________ g Actual measurement: _________ g Convert to kilograms: _________ kg

Show your conversion working:

3. Object 3 — Volume / Capacity

Object: _______________________

Estimate: _________ mL Actual measurement: _________ mL Convert to litres: _________ L

Show your conversion working:

🔢 Part 2: Metric Conversions and Significant Figures

Use your knowledge of metric prefixes (kilo- = ×1000, centi- = ÷100, milli- = ÷1000) to solve the following problems. Show all working and include correct units.

4. Convert the following measurements:

a) 3.45 km = _________ m

b) 780 cm = _________ m

c) 2500 mL = _________ L

d) 0.65 kg = _________ g

5. A student measures a piece of string and records it as 124.7 cm.

a) Write this measurement to 3 significant figures: _________ cm

b) Write this measurement to 2 significant figures: _________ cm

c) Convert the original measurement to metres, rounded to 2 decimal places: _________ m

6. Which tool would you use to measure each of the following? Circle the best answer.

a) The mass of a book:

Ruler

Scales

Measuring jug

Thermometer

b) The volume of water in a bottle:

Ruler

Scales

Measuring jug

Stopwatch

7. Tick all the statements that are true about metric prefixes:

1 kilometre = 1000 metres

1 centimetre = 10 millimetres

1 kilogram = 100 grams

1 litre = 1000 millilitres

A larger unit always means a larger number

💭 Part 3: Reflection

Think about your estimates from Part 1 and compare them with your actual measurements.

8. How close were your estimates to the actual measurements? Were you surprised by any results? Explain.

9. Why is it important to use accurate measurements and correct units in real life? Give one specific example (e.g., cooking, building, medicine).

10. Complete this self-assessment statement:

I can / cannot (circle one) estimate and measure using correct metric units and convert between them accurately.

One thing I want to practise more is: _____________________________________________