Sample math questions from the California Standards Test for Grade 5, featuring problems on rounding numbers, converting decimals to fractions, calculating percentages, and solving word problems.

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

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

Step-by-step:
- We are rounding to the nearest ten, so we look at the ones digit (the digit in the tens place is 5, and the ones digit is 0).
- The number is 6050.287.
- The digit in the ones place is 0.
- The digit to the right (tenths) is 2, which is less than 5 → do not round up.
- So, we keep the tens digit as is.

→ Rounded to the nearest ten: 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're rounding to the nearest thousand, so we look at the hundreds digit.
- Number: 3,537,438
- The thousands digit is 7 (in 3,537,000), and the hundreds digit is 4.
- Since 4 < 5, we do not round up.
- So, 3,537,438 rounds to 3,537,000

✔ Answer: B) 3,537,000

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Question 3: What is 40% of 250?

Step-by-step:
- 40% = 40/100 = 0.4
- Multiply: 0.4 × 250 = 100

✔ Answer: B) 100

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Question 4: What is 3/8 written as a percent?

Step-by-step:
- Convert fraction to decimal:
$ \frac{3}{8} = 0.375 $
- Convert decimal to percent:
$ 0.375 × 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 = 7/10 (since it's seven tenths)

✔ Answer: D) 7/10

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Question 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-by-step:
- Total books = 200
- Fiction books = 70
- Percent = $ \frac{70}{200} × 100 $
- Simplify: $ \frac{70}{200} = \frac{7}{20} = 0.35 $
- $ 0.35 × 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 in this lot 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 × 100 = 12.5\% $

✔ Answer: D) 12.5%

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✔ Final Answers:

| Question | Answer |
|--------|--------|
| 1 | A) 6050 |
| 2 | B) 3,537,000 |
| 3 | B) 100 |
| 4 | C) 37.5% |
| 5 | D) 7/10 |
| 6 | A) 35% |
| 7 | D) 12.5% |

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