Grade 5- Final Test - Math Interactive Worksheet - Edform - Free Printable
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Step-by-step solution for: Grade 5- Final Test - Math Interactive Worksheet - Edform
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5- Final Test - Math Interactive Worksheet - Edform
Let's solve each problem step by step:
---
- Step 1: Identify the digit in the tens place. In 6050.287, the tens place is the "5" in "6050".
- Step 2: Look at the digit immediately to the right of the tens place (the ones place). Here, it is "0".
- Step 3: Since the digit in the ones place is less than 5, we do not round up. The number remains the same in the tens place.
- Answer: The number rounded to the nearest ten is 6050.
Correct Answer: A. 6050
---
- Step 1: Identify the digit in the thousands place. In 3,537,438, the thousands place is the "7" in "3,537".
- Step 2: Look at the digit immediately to the right of the thousands place (the hundreds place). Here, it is "4".
- Step 3: Since the digit in the hundreds place is less than 5, we do not round up. The number remains the same in the thousands place.
- Answer: The number rounded to the nearest thousand is 3,537,000.
Correct Answer: B. 3,537,000
---
- Step 1: Convert the percentage to a decimal. \( 40\% = 0.40 \).
- Step 2: Multiply 250 by 0.40:
\[
250 \times 0.40 = 100
\]
- Answer: 40% of 250 is 100.
Correct Answer: B. 100
---
- Step 1: Convert the fraction to a decimal by dividing the numerator by the denominator:
\[
\frac{3}{8} = 0.375
\]
- Step 2: Convert the decimal to a percentage by multiplying by 100:
\[
0.375 \times 100 = 37.5\%
\]
- Answer: \(\frac{3}{8}\) as a percent is 37.5%.
Correct Answer: C. 37.5%
---
- Step 1: Write the decimal as a fraction. The decimal 0.7 means 7 tenths:
\[
0.7 = \frac{7}{10}
\]
- Step 2: Simplify if possible. In this case, \(\frac{7}{10}\) is already in its simplest form.
- Answer: The decimal 0.7 as a fraction is \(\frac{7}{10}\).
Correct Answer: D. \(\frac{7}{10}\)
---
- Step 1: Use the formula for percentage:
\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\]
- Step 2: Substitute the values:
\[
\text{Percentage} = \left( \frac{70}{200} \right) \times 100
\]
- Step 3: Simplify the fraction:
\[
\frac{70}{200} = \frac{7}{20}
\]
- Step 4: Multiply by 100:
\[
\frac{7}{20} \times 100 = 35
\]
- Answer: 35% of the donated books are fiction.
Correct Answer: A. 35%
---
- Step 1: Convert the ratio "1 out of every 8" to a fraction:
\[
\frac{1}{8}
\]
- Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator:
\[
\frac{1}{8} = 0.125
\]
- Step 3: Convert the decimal to a percentage by multiplying by 100:
\[
0.125 \times 100 = 12.5\%
\]
- Answer: 12.5% of the cars in the lot are blue.
Correct Answer: D. 12.5%
---
1. A. 6050
2. B. 3,537,000
3. B. 100
4. C. 37.5%
5. D. \(\frac{7}{10}\)
6. A. 35%
7. D. 12.5%
Boxed Final Answer:
\[
\boxed{A, B, B, C, D, A, D}
\]
---
Problem 1: What is 6050.287 rounded to the nearest ten?
- Step 1: Identify the digit in the tens place. In 6050.287, the tens place is the "5" in "6050".
- Step 2: Look at the digit immediately to the right of the tens place (the ones place). Here, it is "0".
- Step 3: Since the digit in the ones place is less than 5, we do not round up. The number remains the same in the tens place.
- Answer: The number rounded to the nearest ten is 6050.
Correct Answer: A. 6050
---
Problem 2: The total land area for the United States is 3,537,438 square miles. What is this value rounded to the nearest thousand square miles?
- Step 1: Identify the digit in the thousands place. In 3,537,438, the thousands place is the "7" in "3,537".
- Step 2: Look at the digit immediately to the right of the thousands place (the hundreds place). Here, it is "4".
- Step 3: Since the digit in the hundreds place is less than 5, we do not round up. The number remains the same in the thousands place.
- Answer: The number rounded to the nearest thousand is 3,537,000.
Correct Answer: B. 3,537,000
---
Problem 3: What is 40% of 250?
- Step 1: Convert the percentage to a decimal. \( 40\% = 0.40 \).
- Step 2: Multiply 250 by 0.40:
\[
250 \times 0.40 = 100
\]
- Answer: 40% of 250 is 100.
Correct Answer: B. 100
---
Problem 4: What is \(\frac{3}{8}\) written as a percent?
- Step 1: Convert the fraction to a decimal by dividing the numerator by the denominator:
\[
\frac{3}{8} = 0.375
\]
- Step 2: Convert the decimal to a percentage by multiplying by 100:
\[
0.375 \times 100 = 37.5\%
\]
- Answer: \(\frac{3}{8}\) as a percent is 37.5%.
Correct Answer: C. 37.5%
---
Problem 5: What is the decimal 0.7 written as a fraction?
- Step 1: Write the decimal as a fraction. The decimal 0.7 means 7 tenths:
\[
0.7 = \frac{7}{10}
\]
- Step 2: Simplify if possible. In this case, \(\frac{7}{10}\) is already in its simplest form.
- Answer: The decimal 0.7 as a fraction is \(\frac{7}{10}\).
Correct Answer: D. \(\frac{7}{10}\)
---
Problem 6: A company donated 200 books to a local library. If 70 of them are fiction, what percent of the donated books are fiction?
- Step 1: Use the formula for percentage:
\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\]
- Step 2: Substitute the values:
\[
\text{Percentage} = \left( \frac{70}{200} \right) \times 100
\]
- Step 3: Simplify the fraction:
\[
\frac{70}{200} = \frac{7}{20}
\]
- Step 4: Multiply by 100:
\[
\frac{7}{20} \times 100 = 35
\]
- Answer: 35% of the donated books are fiction.
Correct Answer: A. 35%
---
Problem 7: In a parking lot, 1 out of every 8 cars is blue. What percent of the cars in this lot are blue?
- Step 1: Convert the ratio "1 out of every 8" to a fraction:
\[
\frac{1}{8}
\]
- Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator:
\[
\frac{1}{8} = 0.125
\]
- Step 3: Convert the decimal to a percentage by multiplying by 100:
\[
0.125 \times 100 = 12.5\%
\]
- Answer: 12.5% of the cars in the lot are blue.
Correct Answer: D. 12.5%
---
Final Answers:
1. A. 6050
2. B. 3,537,000
3. B. 100
4. C. 37.5%
5. D. \(\frac{7}{10}\)
6. A. 35%
7. D. 12.5%
Boxed Final Answer:
\[
\boxed{A, B, B, C, D, A, D}
\]
Parent Tip: Review the logic above to help your child master the concept of test 5th grade math worksheet.