Questions and Answers
Which of the following numbers is the smallest?
How many prime numbers are there between 25 and 55?
How many prime numbers are smaller than 50?
Which of the following is not a prime number?
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What is the difference between the largest and smallest prime number between 30 and 90?
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What is the difference between the largest and smallest prime number between 40 and 100?
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What is the difference between the largest four-digit number and the largest two-digit number?
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Which of these statements about prime numbers is true?
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What is the LCM of two numbers if their GCD is 86 and their product is 1376?
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If the GCD and LCM of two numbers are 2 and 360 respectively, what is the other number if one number is 10?
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Which smallest number leaves a remainder of 1 when divided by 2, 3, 4, 5, and 6, but none when divided by 7?
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How many numbers between 5 and 95 are divisible by 5?
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What is the largest number that leaves a remainder of 6 when dividing both 102 and 186?
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What is the LCM of 8 and 12?
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Which smallest multiple of 9 leaves a remainder of 4 when divided by 5?
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If the numbers between 1 and 100 that are multiples of 7 and 3 are sought, how many such numbers exist?
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What is the largest prime number between 19 and 20?
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How many prime numbers are there between 18 and 90?
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What is the smallest odd prime number?
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What is the difference between the largest and smallest prime numbers between 6 and 19?
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Which number is not a prime number?
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What is the GCD of two numbers if they are not divisible by a prime number?
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Which is the smallest number that leaves a remainder of 5 when divided by 7, 8, or 9?
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What number, when added to 1, will be divisible by 3, 6, 9, 12, or 15?
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If a five-digit number has a certain smallest number subtracted from it, which resulting number will be divisible by 5, 10, or 15?
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What is the product of the GCD and LCM of two numbers equal to?
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Which of the following is a prime number?
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Which number is the least common multiple (LCM) of 5 and 10?
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Which of these numbers is not a composite number?
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Study Notes
Mathematics Evaluation 2024 Overview
- Subject: Mathematics
- Total Marks: 20
- Duration: 20 minutes
Key Questions Summary
- Fundamental Numbers: Questions involve understanding prime numbers and their divisibility properties.
- Divisibility: Assessing which numbers leave a specified remainder when divided by others.
- Greatest Common Divisor (GCD) and Least Common Multiple (LCM): GCD and LCM properties of pairs of numbers are tested.
- Prime Numbers Counting: Identification of prime numbers in specific ranges.
- Basic Arithmetic Operations: Operations like addition, subtraction, multiplication as they relate to properties of numbers.
Specific Question Focus
- Divisibility with Conditions: Finding the smallest number that, when divided by 7, 8, or 9, leaves a remainder of 5.
- Remainder Problems: Exploring conditions under which numbers divided by a set leave specific remainders, especially relating to prime numbers.
- Counting Primes: Counting the number of prime numbers within a defined range, e.g., between 25 and 55.
- Comparison of Number Properties: Determining the difference between the largest and smallest prime numbers in specific intervals.
Conceptual Understanding
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Understanding GCD and LCM:
- The product of GCD and LCM of two numbers equals the product of those two numbers.
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Identifying Primality:
- Fundamental understanding of what constitutes a prime number.
- Key ranges including four-digit potential prime numbers and determining their order.
Conclusion
- The evaluation tests foundational mathematical skills including number theory, divisibility, and basic operations with special focus on prime numbers and their properties.
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Description
This quiz assesses essential mathematical concepts including prime numbers, divisibility, GCD, and LCM. Test your skills with questions that involve identifying properties of numbers and solving remainder problems. Ideal for students looking to reinforce their understanding of fundamental mathematics topics.
