#### Term 2 Numbers Model Question Paper

6th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. The difference between two successive odd numbers is

(a)

1

(b)

2

(c)

3

(d)

0

2. The prime factorisation of 60 is 2 $\times$ 2 $\times$ 3 $\times$ 5. Any other number which has the same prime factorisation as 60 is

(a)

30

(b)

120

(c)

90

(d)

impossible

3. If the number 6354 * 97 is divisible by 9, then the value * is

(a)

2

(b)

4

(c)

6

(d)

7

4. The number 87846 is divisible by

(a)

2 only

(b)

3 only

(c)

11 only

(d)

all of these

5. Which of the following cannot be the HCF of two numbers whose LCM is 120?

(a)

60

(b)

40

(c)

80

(d)

30

6. 6 x 2 = 12
7. Write the smallest and the biggest three digit composite number.

8. The sum of any three odd natural numbers is odd. Justify this statement with an example.

9. If there are 143 math books to be arranged in equal numbers in all the stacks, then find the number of books in each stack and also the number of stacks.

10. Every even number greater than 2 can be expressed as the sum of two prime numbers. Verify this statement for every even number upto 16.

11. Find the sum of all the prime numbers between 10 and 20 and check whether that sum is divisible by all the single digit numbers.

12. Find the smallest number which is exactly divisible by all the numbers from 1 to 9.

13. 6 x 3 = 18
14. What is the greatest number that will divide 62, 78 and 109 leaving remainders 2, 3 and 4 respectively?

15. The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.

16. The LCM of two co-prime numbers is 5005. If one of the numbers is 65, then find the other number.

17. The product of 2 two digit numbers is 300 and their HCF is 5. What are the numbers?

18. Numbers divisible by 4 and 6 are divisible by 24. Verify this statement and support your answer with an example

19. The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example

20. 3 x 5 = 15
21. Find the HCF of the numbers 18, 24 and 30 by factor tree method.

22. Find the LCM of 156 and 124.

23. There are four Mobile Phones in a house. At 5 a.m, all the four Mobile Phones will ring together. Thereafter, the first one rings every 15 minutes, the second one rings every 20 minutes, the third one rings every 25 minutes and the fourth one rings every 30 minutes. At what time, will the four Mobile Phones ring together again?