Year 6 Maths: Equivalent Measures

What Are Equivalent Measures?

Hello, Year 6! Today, we are going to learn about equivalent measures. This is a way to show that two different measurements can mean the same thing.

Understanding Measures

We often use different units to measure things. For example, we can measure lengths in centimetres (cm) or metres (m). To help us understand, let’s look at some common measurements:

• 1 metre = 100 centimetres
• 1 kilometre = 1,000 metres
• 1 litre = 1,000 millilitres

These are what we call equivalents. They show us how to change one measure into another.

Key Rules

1. Length Conversions:
   • To convert from metres to centimetres, you multiply by 100.
   • To convert from centimetres to metres, you divide by 100.
2. Weight Conversions:
   • 1 kilogram = 1,000 grams.
   • To convert from kilograms to grams, you multiply by 1,000.
   • To convert from grams to kilograms, you divide by 1,000.
3. Volume Conversions:
   • 1 litre = 1,000 millilitres.
   • To convert from litres to millilitres, multiply by 1,000.
   • To convert from millilitres to litres, divide by 1,000.

Tips and Tricks

• Memorise Key Equivalents: Practice remembering the key conversions like 100 cm in a metre.
• Use a Conversion Chart: Having a chart can help you when you’re unsure.
• Practice with Real-Life Examples: When you bake or cook, try measuring ingredients in different units!

Examples

1. Length: If you have 250 cm, how many metres is that?
   • Divide 250 by 100.
   • Answer: 2.5 m (or 2 metres and 50 cm).
2. Weight: If you have 3 kg, how many grams is that?
   • Multiply 3 by 1,000.
   • Answer: 3,000 g.
3. Volume: If you have 500 ml, how many litres is that?
   • Divide 500 by 1,000.
   • Answer: 0.5 L.

Great! Now that you understand equivalent measures, let’s practice with some questions.

Questions on Equivalent Measures

Easy Level Questions

1. Convert 150 cm to metres.
2. How many grams are in 2 kg?
3. Convert 1.5 litres to millilitres.
4. How many centimetres are in 2.3 m?
5. What is 500 g in kilograms?
6. Convert 250 ml to litres.
7. How many metres are in 5,000 cm?
8. What is 1 kg in grams?
9. Convert 0.75 L to ml.
10. How many grams are in 3.5 kg?
11. Convert 120 cm to m.
12. How many litres are in 3,000 ml?
13. What is 900 g in kg?
14. Convert 4.5 m to cm.
15. How many millilitres are in 2 L?
16. What is 0.2 kg in grams?
17. Convert 1,200 ml to litres.
18. How many cm are in 0.5 m?
19. Convert 2 kg to grams.
20. What is 300 ml in litres?

Medium Level Questions

1. If you have 450 cm, how many metres is that?
2. Convert 1.2 kg to grams.
3. How many millilitres are in 3.5 litres?
4. What is 200 cm in metres?
5. Convert 4 kg to grams.
6. If you have 1,500 ml, how many litres is that?
7. Convert 350 g to kg.
8. How many centimetres are in 1.4 m?
9. What is 2.6 litres in millilitres?
10. Convert 0.75 kg to grams.
11. If you have 1.8 m, how many cm is that?
12. Convert 900 ml to litres.
13. How many grams are in 4.2 kg?
14. What is 3 m in cm?
15. Convert 2,500 ml to litres.
16. If you have 1.5 kg, how many grams is that?
17. Convert 0.3 m to cm.
18. How many grams are in 2.5 kg?
19. Convert 1.75 litres to ml.
20. If you have 600 g, how many kg is that?

Hard Level Questions

1. If you have 5.5 m, how many cm is that?
2. Convert 3.25 kg to grams.
3. How many millilitres are in 2.75 litres?
4. What is 0.9 kg in grams?
5. Convert 1,200 ml to litres and ml.
6. If you have 1.6 m, how many cm is that?
7. Convert 2.8 kg to grams.
8. How many grams are in 5.4 kg?
9. What is 3.3 litres in millilitres?
10. Convert 0.6 m to cm.
11. If you have 1,800 ml, how many litres is that?
12. Convert 4.5 kg to grams.
13. How many grams are in 7.2 kg?
14. What is 2.1 litres in ml?
15. Convert 0.4 kg to grams.
16. If you have 2,200 ml, how many litres is that?
17. Convert 3.75 m to cm.
18. How many grams are in 8.5 kg?
19. What is 6 litres in ml?
20. Convert 0.1 kg to grams.

Answers

Easy Level Answers

1. 1.5 m
2. 2,000 g
3. 500 ml
4. 2.3 m
5. 0.3 kg
6. 0.25 L
7. 50 m
8. 1,000 g
9. 750 ml
10. 3,500 g
11. 1.2 m
12. 3 L
13. 0.9 kg
14. 450 cm
15. 2,000 ml
16. 200 g
17. 1.2 L
18. 50 cm
19. 2,000 g
20. 0.3 L

Medium Level Answers

1. 4.5 m
2. 1,200 g
3. 3,500 ml
4. 2 m
5. 4,000 g
6. 1.5 L
7. 0.35 kg
8. 140 cm
9. 2,600 ml
10. 750 g
11. 180 cm
12. 0.9 L
13. 4,200 g
14. 300 cm
15. 2.5 L
16. 300 g
17. 30 cm
18. 2,500 g
19. 1,750 ml
20. 0.6 kg

Hard Level Answers

1. 550 cm
2. 3,250 g
3. 2,750 ml
4. 900 g
5. 1 L and 200 ml
6. 160 cm
7. 2,800 g
8. 5,400 g
9. 3,300 ml
10. 60 cm
11. 1.8 L
12. 4,500 g
13. 7,200 g
14. 2,100 ml
15. 400 g
16. 2.2 L
17. 375 cm
18. 8,500 g
19. 6,000 ml
20. 100 g

I hope this helps you understand equivalent measures better! Keep practicing, and soon you will be converting measures like a pro!