Length, Mass and Capacity Revision

Preliminary Numeracy - Assessment Task 2 Revision

Get your worksheet ready - we’ll work through these together

Conversion Between Units - Length

Key Conversions to Remember:

  • 1 km = 1000 m
  • 1 m = 100 cm
  • 1 cm = 10 mm
  • 1 m = 1000 mm

Copy these conversion factors down

Length Conversions - Question 1

1a) 3.5 km = _____ m

Method: × 1000 (km to m)

3.5 × 1000 = 3500 m

1b) 2500 mm = _____ m

Method: ÷ 1000 (mm to m)

2500 ÷ 1000 = 2.5 m

Complete question 1c on your worksheet

Length Conversions - Question 2

2a) 4200 m = _____ km

Method: ÷ 1000 (m to km)

4200 ÷ 1000 = 4.2 km

2b) 85 cm = _____ mm

Method: × 10 (cm to mm)

85 × 10 = 850 mm

Conversion Between Units - Mass

Key Conversions to Remember:

  • 1 t = 1000 kg
  • 1 kg = 1000 g

Add these to your notes

Mass Conversions - Question 3

3a) 2.8 kg = _____ g

Method: × 1000 (kg to g)

2.8 × 1000 = 2800 g

3b) 5400 g = _____ kg

Method: ÷ 1000 (g to kg)

5400 ÷ 1000 = 5.4 kg

Complete question 3c on your worksheet

Conversion Between Units - Capacity

Key Conversions to Remember:

  • 1 L = 1000 mL
  • 1 m³ = 1000 L

Add these to your notes

Capacity Conversions - Question 4

4a) 3.2 L = _____ mL

Method: × 1000 (L to mL)

3.2 × 1000 = 3200 mL

4b) 750 mL = _____ L

Method: ÷ 1000 (mL to L)

750 ÷ 1000 = 0.75 L

Complete question 4c on your worksheet

Four Operations Using Length

Key Formulas:

  • Perimeter of rectangle = 2(length + width)
  • When dividing: Total length ÷ number of pieces
  • When adding: Add all lengths together

Copy these formulas down

Length Operations - Question 5

Garden bed: 3.5 m long and 2.8 m wide. Find the perimeter.

Method: Perimeter = 2(length + width) = 2(3.5 + 2.8) = 2(6.3) = 12.6 m

Check your working matches this

Length Operations - Question 6

Cut 5.2 m timber into 4 equal pieces. Length of each piece?

Method: Total length ÷ number of pieces = 5.2 ÷ 4 = 1.3 m

Complete questions 7 and 8 on your worksheet

Volume Calculations

Key Formulas:

  • Volume of rectangular prism = length × width × height
  • Volume of cube = side³
  • Volume conversions: 1 m³ = 1000 L

Copy these formulas down

Volume - Question 9

Rectangular prism: 6 cm × 4 cm × 3 cm

Method: Volume = length × width × height = 6 × 4 × 3 = 72 cm³

Check your working matches this

Volume - Question 10

Water tank volume: 2500 L = _____ m³

Method: 1 m³ = 1000 L So: 2500 L ÷ 1000 = 2.5 m³

Complete question 11 on your worksheet

Mixed Problems Strategy

Problem-Solving Steps:

  1. Read carefully - what are you being asked?
  2. Identify the operation needed
  3. Convert units if necessary
  4. Calculate step by step
  5. Check your answer makes sense

Use these steps for questions 12-14

Mixed Problem - Question 12

Recipe needs 350 mL milk. How many litres for 6 batches?

Method: Step 1: Total mL needed = 350 × 6 = 2100 mL Step 2: Convert to L = 2100 ÷ 1000 = 2.1 L

Work through questions 13 and 14 with your partner

Assessment Reminders

For Your Test:

  • Show ALL working - marks are awarded for method
  • Include units in your final answers
  • Convert carefully - check your conversion factors
  • Read questions twice - make sure you understand what’s being asked

Review your worksheet answers and ask questions now