#### Information Processing Model Question Paper

6th Standard

Reg.No. :
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Maths

Time : 02:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. The next term in the sequence 15, 17, 20, 22, 25,... is

(a)

28

(b)

29

(c)

27

(d)

26

2. What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC,...

(a)

B

(b)

C

(c)

D

(d)

A

3. The difference between 6th term and 5th term in the Fibonacci sequence is

(a)

6

(b)

8

(c)

5

(d)

3

4. The 11th term in the Lucas sequence 1, 3, 4, 7, ... is

(a)

199

(b)

76

(c)

123

(d)

47

5. If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is...

(a)

26

(b)

2

(c)

54

(d)

1

6. 5 x 2 = 10
7. Study and complete the following pattern
i) 1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = ?
11111 x 11111 = ?

8. Find next three numbers in the following number patterns.
i) 50, 51, 53, 56, 60, …
ii) 77, 69, 61, 53,…
iii) 10, 20, 40, 80, …
$iv) {21\over33},{321\over444},{4321\over5555},.....$

9. Find HCF of 48 and 28. Also find the HCF of 48 and the number obtained by finding their
difference

10. Arrange the name of your classmates alphabetically.

11. Follow and execute the instructions given below.
i) Write the number 10 in the place common to the three figures
ii) Write the number 5 in the place common for square and circle only.
iii) Write the number 7 in the place common for triangle and circle only.
iv) Write the number 2 in the place common for triangle and square only.
v) Write the numbers 12, 14 and 8 only in square, circle and triangle respectively

12. 5 x 3 = 15
13. Find the HCF of two numbers 16 and 28.

14. Observe the calendar showing the month of January 2019.

JANUARY 2019
S M T W T F S
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31

Answer the following questions
i) Sort out the prime and composite numbers from the calendar.
ii) Sort out the odd and even numbers.
iii) Sort out the multiples of 6; multiples of 4; the common multiples of 4 and 6 and LCM of the two numbers.
iv) Sort out the dates which fall on Monday.

15. Find HCF of 188 and 230 by Euclid's game.

16. Complete the following pattern
i) 1+2+3+4 = 10
2+3+4+5 = 14
__+4+5+6 =__
4+5+6+__=__
ii) 1+3+5+7 = 16
__+5+7+9 = 24
5+7+9+__=__
7+9+__+13=__
iii) AB, DEF, HIJK, ____, STUVWX
iv) 20, 19, 17,___, 10, 5

17. Replace the letter by symbols as + for A, – for B, × for C and ÷ for D. Find the answer for the pattern 4B3C5A30D2 by doing the given operations.

18. 2 x 5 = 10
19. Find HCF of 28,35,42 by Euclid’s game

20. Consider the Postal Index Number (PIN) written on the letters as follows:604506; 604516; 604560; 604506; 604516; 604516; 604560; 604516; 604505; 604470; 604515; 604520; 604303; 604509; 604470. How the letters can be sorted as per Postal Index Numbers?