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#### Class 6 - Information Processing - Study Material

6th Standard

Reg.No. :
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Maths

Time : 02:30:00 Hrs
Total Marks : 80
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. 10 x 2 = 20
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. Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8,13, 21, 34, 55,… Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.

Steps Pattern 1 Pattern 2
i) 1+3 = 4 5 -1 =4
ii) 1+3+8=_____ ?
iii) 1+3+8+21 =__________ ?
iv) ? ?
10. Complete the following patterns.

11. Find HCF of the following pair of numbers by Euclid’s game.
i) 25 and 35
ii) 36 and 12
iii) 15 and 29

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

13. Give instructions to fill in a bank withdrawal form issued in a bank

14. Arrange the name of your classmates alphabetically.

15. 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

16. Fill in the following information

17. 10 x 3 = 30
18. Follow the instructions in the given puzzle to arrive at the same number (36).
Instructions
Think of a number from 1 to 9.
Multiply it by 9.
If you have two digit number, add the digits together.
Subtract 3 from the answer.
Multiply the number by itself.

19. You need to read the instructions carefully before filling the OMR sheet. The given OMR sheet is shaded based on the following instructions
Observe the enrolment number written on the top row.
The digits are to be shaded from left to right.
Shade the corresponding bubbles under each of the number boxes.
Only one digit is to be shaded in each column.
Use only ball point pen for shading the bubbles.

20. Observe the given 4 x 4 square grid and follow the instructions given below to appreciate the uniqueness of the arrangement of numbers that gives the total 139.
Instructions
Add the numbers horizontally.
Add the numbers vertically.
Add the numbers diagonally.
Add the numbers in the four corners of the square.
Divide the square into four 2 x 2 squares and add all the numbers in each of the squares.

21. 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.

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

23. 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

24. Complete the table by using the following instructions.

 A B C D E F G H I

A: It is the 6th term in the Fibonacci sequence.
B: The predecessor of 2.
C: LCM of 2 and 3.
D: HCF of 6 and 20
E: The reciprocal of 1/5.
F: The opposite number of –7.
G: The fi rst composite number.
H: Area of a square of side 3 cm.
I: The number of lines of symmetry of an equilateral triangle.
After completing the table, what do you observe? Discuss

25. Assign the number for English alphabets as 1 for A, 2 for B upto 26 for Z. Find the meaning of

26. 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.

27. Arrange the following from the eldest to the youngest. What do you get?

28. 5 x 5 = 25
29. Prepare a daily time schedule for evening study at home

30. Observe the geometrical pattern and answer the following questions

i) Write down the number of sticks used in each of the iterative pattern.
ii) Draw the next figure in the pattern also find the total number sticks used in it

31. Find HCF of 28,35,42 by Euclid’s game

32. Follow the given instructions to fill your name in the OMR sheet.
The name should be written in capital letters from left to right.
One alphabet is to be entered in each box.
If any empty boxes are there at the end they should be left blank.
Ballpoint pen is to be used for shading the bubbles for the corresponding alphabets.

33. 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?