Printable Year 2 Maths Worksheets - Free Printable
Educational worksheet: Printable Year 2 Maths Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Printable Year 2 Maths Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Printable Year 2 Maths Worksheets
This worksheet involves adding fractions using visual representations (circles divided into parts). Each problem shows two circles with shaded portions, and the task is to determine the total shaded portion when the two are combined. Below is a step-by-step explanation of how to solve each problem.
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#### Problem 1:
- Left Circle: 2/3 shaded (green)
- Right Circle: 2/3 shaded (green)
- Total Shaded: \( \frac{2}{3} + \frac{2}{3} = \frac{4}{3} \)
- Since \( \frac{4}{3} \) is greater than 1, it means one whole circle plus \( \frac{1}{3} \) of another circle.
- Answer: Color 1 whole circle and \( \frac{1}{3} \) of another circle. Write \( \frac{4}{3} \).
#### Problem 2:
- Left Circle: 2/4 shaded (yellow)
- Right Circle: 2/4 shaded (yellow)
- Total Shaded: \( \frac{2}{4} + \frac{2}{4} = \frac{4}{4} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
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#### Problem 3:
- Left Circle: 1/8 shaded (brown)
- Right Circle: 5/8 shaded (brown)
- Total Shaded: \( \frac{1}{8} + \frac{5}{8} = \frac{6}{8} = \frac{3}{4} \)
- Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
- Answer: Color \( \frac{3}{4} \) of the circle. Write \( \frac{3}{4} \).
#### Problem 4:
- Left Circle: 3/8 shaded (pink)
- Right Circle: 5/8 shaded (pink)
- Total Shaded: \( \frac{3}{8} + \frac{5}{8} = \frac{8}{8} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
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#### Problem 5:
- Left Circle: 3/8 shaded (orange)
- Right Circle: 3/8 shaded (orange)
- Total Shaded: \( \frac{3}{8} + \frac{3}{8} = \frac{6}{8} = \frac{3}{4} \)
- Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
- Answer: Color \( \frac{3}{4} \) of the circle. Write \( \frac{3}{4} \).
#### Problem 6:
- Left Circle: 3/8 shaded (red)
- Right Circle: 3/8 shaded (red)
- Total Shaded: \( \frac{3}{8} + \frac{3}{8} = \frac{6}{8} = \frac{3}{4} \)
- Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
- Answer: Color \( \frac{3}{4} \) of the circle. Write \( \frac{3}{4} \).
---
#### Problem 7:
- Left Circle: 2/4 shaded (blue)
- Right Circle: 2/4 shaded (blue)
- Total Shaded: \( \frac{2}{4} + \frac{2}{4} = \frac{4}{4} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
#### Problem 8:
- Left Circle: 2/8 shaded (green)
- Right Circle: 6/8 shaded (green)
- Total Shaded: \( \frac{2}{8} + \frac{6}{8} = \frac{8}{8} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
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1. \( \frac{4}{3} \)
2. \( 1 \)
3. \( \frac{3}{4} \)
4. \( 1 \)
5. \( \frac{3}{4} \)
6. \( \frac{3}{4} \)
7. \( 1 \)
8. \( 1 \)
---
\[
\boxed{\frac{4}{3}, 1, \frac{3}{4}, 1, \frac{3}{4}, \frac{3}{4}, 1, 1}
\]
---
Row 1:
#### Problem 1:
- Left Circle: 2/3 shaded (green)
- Right Circle: 2/3 shaded (green)
- Total Shaded: \( \frac{2}{3} + \frac{2}{3} = \frac{4}{3} \)
- Since \( \frac{4}{3} \) is greater than 1, it means one whole circle plus \( \frac{1}{3} \) of another circle.
- Answer: Color 1 whole circle and \( \frac{1}{3} \) of another circle. Write \( \frac{4}{3} \).
#### Problem 2:
- Left Circle: 2/4 shaded (yellow)
- Right Circle: 2/4 shaded (yellow)
- Total Shaded: \( \frac{2}{4} + \frac{2}{4} = \frac{4}{4} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
---
Row 2:
#### Problem 3:
- Left Circle: 1/8 shaded (brown)
- Right Circle: 5/8 shaded (brown)
- Total Shaded: \( \frac{1}{8} + \frac{5}{8} = \frac{6}{8} = \frac{3}{4} \)
- Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
- Answer: Color \( \frac{3}{4} \) of the circle. Write \( \frac{3}{4} \).
#### Problem 4:
- Left Circle: 3/8 shaded (pink)
- Right Circle: 5/8 shaded (pink)
- Total Shaded: \( \frac{3}{8} + \frac{5}{8} = \frac{8}{8} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
---
Row 3:
#### Problem 5:
- Left Circle: 3/8 shaded (orange)
- Right Circle: 3/8 shaded (orange)
- Total Shaded: \( \frac{3}{8} + \frac{3}{8} = \frac{6}{8} = \frac{3}{4} \)
- Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
- Answer: Color \( \frac{3}{4} \) of the circle. Write \( \frac{3}{4} \).
#### Problem 6:
- Left Circle: 3/8 shaded (red)
- Right Circle: 3/8 shaded (red)
- Total Shaded: \( \frac{3}{8} + \frac{3}{8} = \frac{6}{8} = \frac{3}{4} \)
- Simplify \( \frac{6}{8} \) to \( \frac{3}{4} \).
- Answer: Color \( \frac{3}{4} \) of the circle. Write \( \frac{3}{4} \).
---
Row 4:
#### Problem 7:
- Left Circle: 2/4 shaded (blue)
- Right Circle: 2/4 shaded (blue)
- Total Shaded: \( \frac{2}{4} + \frac{2}{4} = \frac{4}{4} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
#### Problem 8:
- Left Circle: 2/8 shaded (green)
- Right Circle: 6/8 shaded (green)
- Total Shaded: \( \frac{2}{8} + \frac{6}{8} = \frac{8}{8} = 1 \)
- This means one whole circle is shaded.
- Answer: Color 1 whole circle. Write \( 1 \).
---
Final Answers:
1. \( \frac{4}{3} \)
2. \( 1 \)
3. \( \frac{3}{4} \)
4. \( 1 \)
5. \( \frac{3}{4} \)
6. \( \frac{3}{4} \)
7. \( 1 \)
8. \( 1 \)
---
Boxed Final Answer:
\[
\boxed{\frac{4}{3}, 1, \frac{3}{4}, 1, \frac{3}{4}, \frac{3}{4}, 1, 1}
\]
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet for grade 2.