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CBSE Class 6  >  Class 6 Notes  >  Maths Olympiad   >  Worksheet: Prime Time - 1

Worksheet: Prime Time - 1 | Maths Olympiad Class 6 PDF Download

Multiple Choice Questions (MCQs)

Q1: Which of the following is a prime number?
(a) 49
(b) 51
(c) 53
(d) 55

Q2: What is the first common multiple of 3 and 5?
(a) 10
(b) 12
(c) 15
(d) 20

Q3: How many prime numbers are there between 1 and 10?
(a) 2
(b) 3
(c) 4
(d) 5

Q4: Which pair of numbers is co-prime?
(a) 12 and 18
(b) 14 and 21
(c) 8 and 9
(d) 10 and 20

Q5: The smallest number that is a multiple of both 3 and 4 is:
(a) 6
(b) 9
(c) 12
(d) 15

Fill in the Blanks

Q1: The smallest prime number is _____.

Q2: Numbers that have only two factors, 1 and the number itself, are called _____.

Q3: The common multiples of 3 and 5 within the first 100 numbers are _____, _____, and _____.

Q4: The Sieve of _____ is a method used to find all prime numbers up to a certain number.

Q5: Numbers that are neither prime nor composite are _____.

True or False

Q1: 9 is a prime number.

Q2: The number 2 is the only even prime number.

Q3: All multiples of 4 are also multiples of 2.

Q4: If a number is divisible by 8, it is also divisible by 4.

Q5: The number 37 is a composite number.

Answer the following questions

Q1: List all the prime numbers between 10 and 20.
Q2: Find the common factors of 24 and 36.
Q3: What is the prime factorisation of 72?
Q4: Identify two numbers between 1 and 50 that are co-prime.
Q5: What is the smallest multiple of 5 that is also a multiple of 3?

Q6.Is the first number divisible by the second? Use prime factorisation.

a. 150 and 25

b. 84 and 12

Q7: Find prime numbers, all less than 50, whose product is 2310.

Q8: What is the smallest number whose prime factorisation has:

a. Three different prime numbers?

b. Four different prime numbers?

Q9: Who am I?
I am a number less than 50.
I am a multiple of 6.
The sum of my digits is 9.
I am greater than 30.

Q10. Which of the following numbers is the product of exactly three distinct prime numbers: 50, 84, 105, 280?

You can access the solutions to this worksheet here.

The document Worksheet: Prime Time - 1 is a part of the Class 6 Course Maths Olympiad Class 6.
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FAQs on Worksheet: Prime Time - 1

1. How do I identify prime numbers quickly in Class 6 Maths Olympiad problems?
Ans. Prime numbers are natural numbers greater than 1 with only two factors: 1 and themselves. To identify them quickly, check divisibility by small primes like 2, 3, and 5 first. Numbers like 2, 3, 5, 7, 11, and 13 are prime, while 4, 6, 8, and 9 are composite. Practice with prime number flashcards and visual worksheets available on EduRev to strengthen recognition speed during competitions.
2. What's the difference between prime and composite numbers for Olympiad worksheets?
Ans. Prime numbers have exactly two factors (1 and the number itself), while composite numbers have more than two factors. For example, 7 is prime, but 12 is composite with factors 1, 2, 3, 4, 6, and 12. Understanding this distinction is essential for solving factor-based Olympiad questions accurately and efficiently.
3. Why do I keep getting confused about whether 1 is a prime number?
Ans. The number 1 is neither prime nor composite by definition. Prime numbers must be greater than 1 and have exactly two factors. Since 1 only has one factor (itself), it doesn't meet the prime criteria. This is a common misconception in Class 6-remember that prime time always starts from 2, the smallest prime number.
4. How can I use factor trees to find all prime factors in Maths Olympiad questions?
Ans. Factor trees break down numbers into prime components by repeatedly dividing by the smallest possible prime divisors. Start with any number, divide by a prime (like 2 or 3), and continue until only primes remain at the bottom. This method reveals prime factorisation patterns essential for solving advanced Olympiad problems on divisibility and number properties.
5. What's the fastest way to check if a large number is prime for timed Olympiad tests?
Ans. Test divisibility by primes up to the number's square root only-if no prime divides it within this range, it's prime. For instance, to check 97, test primes up to √97 ≈ 10. This shortcut saves time during Olympiad worksheets. Refer to mind maps on EduRev showing prime-checking algorithms for visual learners tackling competitive mathematics problems efficiently.
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