CBSE Class 6 Maths Playing with Numbers Question Bank

Class 6 Mathematics Practice Set: Chapter 03 Playing With Numbers

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QUESTION BANK
 
1. Write 3 pairs of twin prime numbers.
 
2. Is every pair of co-prime numbers a twin prime? Give two examples to support your answer.
 
3. Express 72 as a sum of two odd prime numbers in two different ways.
 
4. Express 37 as the sum of 3 prime numbers.
 
5. Write 5 pairs of prime numbers less than 20, whose sum is divisible by 5.
 
6. Find whether
a. 70169803 is divisible by 11.
b. 639212 is divisible by 6.
c. 372645 is divisible by 45.
 
7. In each of the following replace * by
a. the smallest digit so that the number formed is divisible by 3.
b. the greatest digit so that the number formed is divisible by 3.
i. 4*672
ii. 4756*2
 
8. Find the prime factorisation of the following.
a 172
b. 9261
c. 27830
 
9. Find the HCF of the given numbers by the division method.
a. 198, 429
b. 120, 144, 204
 
10. Find the LCM of
a. 15, 24
b. 80, 85, 90
 
11. Sugandha teaches the poor children every 9 days while her sister every 3 days. When will they be teaching together if they last taught on 13 April 2011?
 
12. Find the greatest four digit number that is exactly divisible by 12,15,18 and 27.
 
13. Find the least number that should be added to 5046 so that the sum is exactly divisible by 5,6,4 and 3.
 
14. Find the greatest number which on dividing 1657 and 2037 leaves the remainder 6 and 5 respectively.
 
15. Jennifer, the florist has 72 red flowers, 27 yellow flowers and 54 pink flowers. She wants to make the bouquets with the same number of each colour flowers in each bouquet. What is the maximum number of bouquets she can make?
 
16. Two neon signs blink every 20 seconds and 30 seconds respectively. Given that they flashed together at 8 pm, when will they flash together the next time?
 
17. Harry has 18 pens, 27 markers and 12 pencils. He wants to make packets with the same number of pens, markers and pencils. What is the maximum number of packets he can make? Find the number of pens, markers and pencils in each packet.
 
18. Peter, Sam and Ben run on a round track. Peter takes 100 seconds, Sam takes 110 seconds, Ben takes 120 seconds to run a round. If they start together, when will they meet again?
 
19. Find the HCF of 180 and 336. Hence find their LCM.
 
20. Can two numbers have 15 as their HCF and 110 as their LCM? Give reasons to justify your answer.
 
ANSWERS
 
1. 3,5; 5,7; 11, 13
 
2. No; 12, 25; 6, 15
 
3. 5, 67; 11, 61
 
4. 13, 17, 5
 
5. 2,3; 3,7; 2,13; 3,17; 11,19
 
6. a. Yes
b. No
c. Yes
 
7. a. 2, 8
b. 0, 9
 
8. a. 2×2×43
b. 3×3×3×7×7×7
c. 2×5×11×11×23
 
9. a. 33
b. 12
 
10. a. 120
b. 12240
 
11. 9 days
 
12. 9720
 
13. 54
 
14. 127
 
15. 6
 
16. 9 pm

 

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Exam Preparation Worksheet for Class 6 Mathematics Chapter 03 Playing With Numbers

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Are these Mathematics Class 6 worksheets based on the 2026-27 competency-based pattern?

Yes, our CBSE Class 6 Maths Playing with Numbers Question Bank includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 6.

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