GRADE 6 TERM 3 REVISION • Teacha! - Free Printable

Problem Analysis:

The worksheet involves two main sections:
1. Unit Conversion: Converting given measures from one unit to another (e.g., grams to kilograms, milligrams to grams).
2. Word Sums: Solving word problems related to unit conversions.

We will solve each part step by step.

---

Section 1: Convert the given measures to new units

#### Key Conversion Factors:
- 1 kilogram (kg) = 1000 grams (g)
- 1 gram (g) = 1000 milligrams (mg)

#### Step-by-Step Solutions:

1. 4.0 g = ______ kg
- To convert grams to kilograms, divide by 1000.
- \( 4.0 \, \text{g} \div 1000 = 0.004 \, \text{kg} \)
- Answer: \( 0.004 \, \text{kg} \)

2. 2.1 kg = ______ g
- To convert kilograms to grams, multiply by 1000.
- \( 2.1 \, \text{kg} \times 1000 = 2100 \, \text{g} \)
- Answer: \( 2100 \, \text{g} \)

3. 7.6 g = ______ kg
- To convert grams to kilograms, divide by 1000.
- \( 7.6 \, \text{g} \div 1000 = 0.0076 \, \text{kg} \)
- Answer: \( 0.0076 \, \text{kg} \)

4. 7.2 g = ______ kg
- To convert grams to kilograms, divide by 1000.
- \( 7.2 \, \text{g} \div 1000 = 0.0072 \, \text{kg} \)
- Answer: \( 0.0072 \, \text{kg} \)

5. 7.1 kg = ______ g
- To convert kilograms to grams, multiply by 1000.
- \( 7.1 \, \text{kg} \times 1000 = 7100 \, \text{g} \)
- Answer: \( 7100 \, \text{g} \)

6. 1.6 kg = ______ g
- To convert kilograms to grams, multiply by 1000.
- \( 1.6 \, \text{kg} \times 1000 = 1600 \, \text{g} \)
- Answer: \( 1600 \, \text{g} \)

7. 8.9 g = ______ mg
- To convert grams to milligrams, multiply by 1000.
- \( 8.9 \, \text{g} \times 1000 = 8900 \, \text{mg} \)
- Answer: \( 8900 \, \text{mg} \)

8. 3.6 mg = ______ g
- To convert milligrams to grams, divide by 1000.
- \( 3.6 \, \text{mg} \div 1000 = 0.0036 \, \text{g} \)
- Answer: \( 0.0036 \, \text{g} \)

9. 5.8 mg = ______ g
- To convert milligrams to grams, divide by 1000.
- \( 5.8 \, \text{mg} \div 1000 = 0.0058 \, \text{g} \)
- Answer: \( 0.0058 \, \text{g} \)

10. 8.3 mg = ______ kg
- To convert milligrams to kilograms, divide by \( 1000 \times 1000 = 1,000,000 \).
- \( 8.3 \, \text{mg} \div 1,000,000 = 0.0000083 \, \text{kg} \)
- Answer: \( 0.0000083 \, \text{kg} \)

---

Section 2: Solve the following word sums

#### Step-by-Step Solutions:

1. How many grams are there in 100 kilograms?
- To convert kilograms to grams, multiply by 1000.
- \( 100 \, \text{kg} \times 1000 = 100,000 \, \text{g} \)
- Answer: \( 100,000 \, \text{g} \)

2. How many kilograms in 75,850 grams?
- To convert grams to kilograms, divide by 1000.
- \( 75,850 \, \text{g} \div 1000 = 75.85 \, \text{kg} \)
- Answer: \( 75.85 \, \text{kg} \)

3. How many grams in 3.5 kilograms?
- To convert kilograms to grams, multiply by 1000.
- \( 3.5 \, \text{kg} \times 1000 = 3500 \, \text{g} \)
- Answer: \( 3500 \, \text{g} \)

4. How many kilograms is 63,400 grams?
- To convert grams to kilograms, divide by 1000.
- \( 63,400 \, \text{g} \div 1000 = 63.4 \, \text{kg} \)
- Answer: \( 63.4 \, \text{kg} \)

---

Final Answers:

1. Unit Conversion:
- \( 4.0 \, \text{g} = 0.004 \, \text{kg} \)
- \( 2.1 \, \text{kg} = 2100 \, \text{g} \)
- \( 7.6 \, \text{g} = 0.0076 \, \text{kg} \)
- \( 7.2 \, \text{g} = 0.0072 \, \text{kg} \)
- \( 7.1 \, \text{kg} = 7100 \, \text{g} \)
- \( 1.6 \, \text{kg} = 1600 \, \text{g} \)
- \( 8.9 \, \text{g} = 8900 \, \text{mg} \)
- \( 3.6 \, \text{mg} = 0.0036 \, \text{g} \)
- \( 5.8 \, \text{mg} = 0.0058 \, \text{g} \)
- \( 8.3 \, \text{mg} = 0.0000083 \, \text{kg} \)

2. Word Sums:
- \( 100 \, \text{kg} = 100,000 \, \text{g} \)
- \( 75,850 \, \text{g} = 75.85 \, \text{kg} \)
- \( 3.5 \, \text{kg} = 3500 \, \text{g} \)
- \( 63,400 \, \text{g} = 63.4 \, \text{kg} \)

---

Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Unit Conversion:} & \\
4.0 \, \text{g} = 0.004 \, \text{kg} & 1.6 \, \text{kg} = 1600 \, \text{g} \\
2.1 \, \text{kg} = 2100 \, \text{g} & 8.9 \, \text{g} = 8900 \, \text{mg} \\
7.6 \, \text{g} = 0.0076 \, \text{kg} & 3.6 \, \text{mg} = 0.0036 \, \text{g} \\
7.2 \, \text{g} = 0.0072 \, \text{kg} & 5.8 \, \text{mg} = 0.0058 \, \text{g} \\
7.1 \, \text{kg} = 7100 \, \text{g} & 8.3 \, \text{mg} = 0.0000083 \, \text{kg} \\
\hline
\text{Word Sums:} & \\
100 \, \text{kg} = 100,000 \, \text{g} & \\
75,850 \, \text{g} = 75.85 \, \text{kg} & \\
3.5 \, \text{kg} = 3500 \, \text{g} & \\
63,400 \, \text{g} = 63.4 \, \text{kg} &
\end{array}
}
\]