Grade 6 Math test Term 1 • Teacha! - Free Printable

Problem Analysis:

The task is to evaluate each statement in Question 1 as either True or False. If a statement is False, the correct answer must be provided. Let's analyze each part step by step.

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Question 1: True or False. If false, write the correct answer.

#### a) 9 is a prime number.
- Definition of a Prime Number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Analysis: The number 9 can be divided evenly by 1, 3, and 9. Since it has divisors other than 1 and itself (specifically, 3), it is not a prime number.
- Conclusion: False
- Correct Answer: 9 is not a prime number.

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#### b) All the factors of 24 are: 1; 24; 2; 3.
- Definition of Factors: Factors of a number are all the integers that divide the number without leaving a remainder.
- Analysis: The factors of 24 are the numbers that multiply together to give 24. They are: 1, 2, 3, 4, 6, 8, 12, and 24.
- Given Statement: The statement lists only 1, 24, 2, and 3, which is incomplete.
- Conclusion: False
- Correct Answer: The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

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#### c) 6 854 rounded off to the nearest 5 is 68 455.
- Rounding to the Nearest 5: To round a number to the nearest 5, look at the last digit:
- If the last digit is 0 or 5, the number is already a multiple of 5.
- If the last digit is 1 or 2, round down to the nearest multiple of 5.
- If the last digit is 3 or 4, round up to the nearest multiple of 5.
- Analysis: The number 6 854 ends in 4. According to the rounding rule, we round up to the nearest multiple of 5, which is 6 855.
- Given Statement: The statement says the result is 68 455, which is incorrect.
- Conclusion: False
- Correct Answer: 6 854 rounded off to the nearest 5 is 6 855.

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#### d) 1 is a prime number.
- Definition of a Prime Number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Analysis: The number 1 does not meet the definition of a prime number because it is not greater than 1.
- Conclusion: False
- Correct Answer: 1 is not a prime number.

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#### e) \( 80 + \frac{2}{3} \text{ of } 150 = 180 \).
- Analysis: We need to evaluate the expression step by step.
1. Calculate \(\frac{2}{3}\) of 150:
\[
\frac{2}{3} \times 150 = \frac{2 \times 150}{3} = \frac{300}{3} = 100
\]
2. Add this result to 80:
\[
80 + 100 = 180
\]
- Given Statement: The statement claims the result is 180, which is correct.
- Conclusion: True

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Final Answers:

1. a) False. Correct Answer: 9 is not a prime number.
2. b) False. Correct Answer: The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
3. c) False. Correct Answer: 6 854 rounded off to the nearest 5 is 6 855.
4. d) False. Correct Answer: 1 is not a prime number.
5. e) True.

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Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{a) False. Correct Answer: 9 is not a prime number.} \\
\text{b) False. Correct Answer: The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.} \\
\text{c) False. Correct Answer: 6 854 rounded off to the nearest 5 is 6 855.} \\
\text{d) False. Correct Answer: 1 is not a prime number.} \\
\text{e) True.}
\end{array}
}
\]