Samacheer Class 6 Maths Information Processing Book Back Answers & Solutions (Term 3)

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1Book Back Questions20 questions

Q.2Find 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) \(\frac{21}{33}\), \(\frac{321}{444}\), \(\frac{4321}{555}\)v

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) \(\frac{54321}{66666}\), \(\frac{654321}{777777}\), \(\frac{7654321}{8888888}\)

Q.5Find the HCF of the following pair of numbers by Euclid’s game (i) 25 and 35 (ii) 36 and 12 (iii) 15 and 29v

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

Q.6Find HCF of 48 and 28. Also find the HCF of 48 and the number obtained by finding their difference.v

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

Q.7Give instructions to fill in a bank withdrawal form issued in a bank.v

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Write the amount (in words) to be withdrawn in the space provided.
Write the amount (in figures) to be withdrawn in the box provided.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’.

Q.8Arrange the name of your classmates alphabetically.v

Answer:

Q.9Follow 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.v

Answer:

Q.11The next term in the sequence 15, 17, 20, 22, 25, … is Hint: Add 2 and 3 alternativelyv

A. 28
B. 29
C. 27

Answer:

Q.12What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC,…v

A. B
B. C
C. D
D. A

Answer:

(a) B

Q.13The difference between 6th term add 5th term in the Fibonacci sequence is ___.v

A. 6
B. 8
C. 5
D. 3

Answer:

(d) 3

Q.14The 11th term in the Lucas sequence 1, 3, 4, 7, isv

A. 199
B. 76
C. 123
D. 47

Answer:

(a) 199

Q.15If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is . Hint: HCF (54, 28) = HCF (28, 26) = 2v

A. 26
B. 2
C. 54
D. 1

Answer:

(b) 2

Q.1Find HCF of 188 and 230 by Euclid’s game.v

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

Q.2Write 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.v

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

Q.3Complete 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, 5v

Answer:

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

Q.5Assign the number for English alphabets as 1 for A, 2 for B upto 26 for Z. Find the meaning of v

Answer:

GOOD MORNING

Q.6Replace the letter with symbols as + for A, – for B, × for C, and ÷ for D. Find the answer for the pattern 4B3C5A30D2 by doing the given operations.v

Answer:

Given the symbols + for A; – for B; × for C; + for D .
∴ 4B3C5A30D2 becomes
4 – 3 × 5 + 30 ÷ 2 Using BIDMAS rule
4 – 3 × 5 + 30 ÷ 2 = 4 – 3 × 5 + 15[× done first]
= 4 – 15 + 15 [+ done second]
= 4 – 0 [+ done third]
= 4 [- done last]

Q.7Observe the pattern and find the word by hiding the Numbers 1 H 2 0 3 W, 4 A 5 R 6 E, 7 Y 8 0 9 U.v

Answer:

HOW ARE YOU

Q.9Prepare a daily time schedule for evening study at home.v

Answer:

5.00 pm to 6.00 pm – Mathematics
6.0 pm to 7.00 pm – Science
7.0 pm to 8.00 pm – Social Science
8. pm to 9.00 pm – Dinner & Recreation
9. pm to 10.00 pm – Tamil and English

Q.11Find the HCF of 28, 35, 42 by Euclid’s game.v

Answer:

HCF of 28, 35, 42
HCF of (28, 35 – 28, 42 – 28)
28 = 2 × 2 × 7
7 = 1 × 7
14 = 2 × 7
HCF of (28, 7, 14) = 7

Q.13Consider 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?v

Answer:

604 is common for all postal index numbers. Compare the remaining 3 digits, 303, 470, 505, 506 (two) 509, 510. 515, 516 (Four), 520, 560 (two).

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Class 6 Maths