Question 1

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) \frac{21}{33}, \frac{321}{444}, \frac{4321}{555}

Accepted Answer

i) The pattern generating these numbers is
50, 50 + 1, 51 + 2, 53 + 3, 56 + 4, 60 + 5, 65 + 6, 71 + 7,
∴ 50, 51, 53, 56, 60, 65, 71, 78, ……
∴ The next three numbers will be 65, 71, 78
ii) The pattern generating these numbers is
77, 77 – 8, 69 – 8, 61 – 8, 53 – 8, 45 – 8, 37 – 8, 29
77, 69, 61, 53, 45, 37, 29, 21,
∴ The next three numbers will be 45, 37, 29.
iii) The pattern generating these numbers is
10, 10 + 10, 20 + 20, 40 + 40, 80 + 80, 160 + 160, 320 + 320,….
10, 20, 40, 80, 160, 320, 640,….
∴ The next three numbers will be 160, 320, 640.
(iv) \(\frac{54321}{66666}\), \(\frac{654321}{777777}\), \(\frac{7654321}{8888888}\)

Question 2

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

Accepted Answer

(i) HCF of (25, 35 – 25)
25 = 5 × 5
10 = 2 × 5
HCF of (25, 10) = 5
(ii) HCF of (36, 36 – 12)
36 = 2 × 2 × 3 × 3
24 = 2 × 2 × 2 × 3
HCF of (36, 24) = 2 × 2 × 3 = 12
(iii) HCF of (15, 29 -15)
15 = 3 × 5 × 1
14 = 2 × 7 × 1
HCF of (15, 14) = 1
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 5 Information Processing Ex 5.1

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 5 Information Processing Ex 5.1

Question 3

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

Accepted Answer

HCF of 48 and 28 48 = 2 × 2 × 2 × 2 × 3 28 = 2 × 2 × 7 HCF of (48, 28) = 2 × 2 = 4 HCF of (48, 48 – 28) 48 = 2 × 2 × 2 × 2 × 3 20 = 2 × 2 × 5 HCF of (48, 20) = 4

Question 4

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

Accepted Answer

The name should be written in capital letters from left to right.
Write the date of withdrawal on the right top comer of the form.
Write the amount (in words) to be withdrawn in the space provided.
Write the amount (in figures) to be withdrawn in the box provided.
Put your signature at the right bottom above the ‘signature of the depositor’.
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 5 Information Processing Ex 5.1

Question 5

The next term in the sequence 15, 17, 20, 22, 25, … is Hint: Add 2 and 3 alternatively

Accepted Answer

(c) 27

Question 6

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

Accepted Answer

(a) B

Question 7

The difference between 6th term add 5th term in the Fibonacci sequence is ___.

Accepted Answer

(d) 3

Question 8

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

Accepted Answer

(a) 199

Question 9

If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is . Hint: HCF (54, 28) = HCF (28, 26) = 2

Accepted Answer

Question 10

Find HCF of 188 and 230 by Euclid’s game.

Accepted Answer

By Euclid’s game HCF (a, b) = HCF (a, a – b) if a > b.
Here HCF (188, 230) = HCF (230, – 188) because 230 > 188
= HCF (188, 42) = HCF (146, 42)
= HCF (104, 42) = HCF (62, 42)
= HCF (42, 20) = HCF (22, 20)
= HCF (20,2) = HCF (18, 2) = 2
∴ HCF (230, 188) = 2
Samacheer Kalvi 6th Maths Guide Term 3 Chapter 5 Information Processing Ex 5.2

Samacheer Kalvi 6th Maths Guide Term 3 Chapter 5 Information Processing Ex 5.2

Question 11

Write the numbers from 1 to 50. From that find the following. i) The numbers which are neither divisible by 2 nor 7. ii) The prime numbers between 25 and 40 iii) All square numbers upto 50.

Accepted Answer

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, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50.
i) The numbers neither divisible by 2 nor 7 are 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 37, 39, 41, 43, 45, 47.
ii) The prime numbers between 25 and 40 are 29, 31, 37.
iii) Square numbers upto 50 are 1, 4, 9, 16, 25, 36, 49

Question 12

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 (vi) 20, 19, 17, ___ , 10, 5

Accepted Answer

(i) 3, 18; 7, 22 (ii) 3; 11, 32; 11, 40 (iii) MNOPQ (iv) 14