Grade 5- Final Test - Math Interactive Worksheet - Edform - Free Printable

Let's solve each of these math problems step by step and explain the reasoning behind each solution.

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Question 1: What is 6050.287 rounded to the nearest ten?

Step-by-step:
- To round to the nearest ten, look at the ones digit (the digit in the ones place).
- The number is 6050.287.
- The tens digit is 5 (in 6050), and the ones digit is 0.
- Since the ones digit is 0 (less than 5), we do not round up.
- So, 6050.287 rounded to the nearest ten is 6050.

✔ Answer: A) 6050

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Question 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-by-step:
- We are rounding to the nearest thousand, so look at the hundreds digit.
- Number: 3,537,438
- The thousands digit is 7 (in 537,438 → 537 thousands)
- The hundreds digit is 4 (from 438)
- Since 4 < 5, we do not round up.
- So, 3,537,438 rounded to the nearest thousand is 3,537,000

✔ Answer: B) 3,537,000

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Question 3: What is 40% of 250?

Step-by-step:
- 40% means 40 per 100, or 0.40 in decimal form.
- Multiply:
$$
0.40 \times 250 = 100
$$

✔ Answer: B) 100

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Question 4: What is $\frac{3}{8}$ written as a percent?

Step-by-step:
- Divide numerator by denominator:
$$
\frac{3}{8} = 0.375
$$
- Convert to percent:
$$
0.375 \times 100 = 37.5\%
$$

✔ Answer: C) 37.5%

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Question 5: What is the decimal 0.7 written as a fraction?

Step-by-step:
- 0.7 means 7 tenths →
$$
\frac{7}{10}
$$
- This fraction is already in simplest form.

✔ Answer: D) $\frac{7}{10}$

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Question 6: A company donated 200 books. If 70 are fiction, what percent are fiction?

Step-by-step:
- Use the formula:
$$
\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$
- Plug in:
$$
\frac{70}{200} \times 100 = 0.35 \times 100 = 35\%
$$

✔ Answer: A) 35%

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Question 7: In a parking lot, 1 out of every 8 cars is blue. What percent of the cars are blue?

Step-by-step:
- Fraction of blue cars:
$$
\frac{1}{8}
$$
- Convert to decimal:
$$
\frac{1}{8} = 0.125
$$
- Convert to percent:
$$
0.125 \times 100 = 12.5\%
$$

✔ Answer: D) 12.5%

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✔ 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%

Let me know if you'd like explanations in simpler terms or visual aids!