6th Standard Syllabus & Materials
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Published on: 07/09/2019
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Download Tamil Nadu 6th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Observe the pattern and find the word by hiding the numbers 1H2O3W 4A5R6E 7Y8O9U?
2.
Find HCF of 188 and 230 by Euclid's game.
3.
You need to read the instructions carefully before filling the OMR sheet. The given OMR sheet is shaded based on the following instructions
1. Observe the enrolment number written on the top row.
2. The digits are to be shaded from left to right.
3. Shade the corresponding bubbles under each of the number boxes.
4. Only one digit is to be shaded in each column.
5. Use only ball point pen for shading the bubbles.
4.
Fill in the following information
5.
Find HCF of the following pair of numbers by Euclid’s game.
i) 25 and 35
ii) 36 and 12
iii) 15 and 29
6.
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) | ? | ? |
7.
If the Highest Common Factor of 26 and 54 is 2, then HCF of 54 and 28 is...
26
2
54
1
8.
The 11th term in the Lucas sequence 1, 3, 4, 7, ... is
199
76
123
47
9.
The difference between 6th term and 5th term in the Fibonacci sequence is
6
8
5
3
10.
What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC,...
B
C
D
A
11.
The next term in the sequence 15, 17, 20, 22, 25,... is
28
29
27
26
12.
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?
13.
Find HCF of 28, 35, 42 by Euclid’s game
1.
Given: The pattern is
1 H 2 O 3 W 4 A 5 R 6 E 7 Y 8 O 9 U ?
\(\therefore\) The word is HOW ARE YOU ?
2.
Given numbers are 188 and 230
Euclid's game:
HCF of 188 and 230 \(\Rightarrow\) (188, 230)
\(\Rightarrow\) (188, 230 - 188)
\(\Rightarrow\) (188,42) = 188 - 42 = 146
\(\Rightarrow\) (146, 42) = 146 - 42 = 104
\(\Rightarrow\)(104, 42) = 104 - 42 = 62
\(\Rightarrow\) (62, 42) = 62 - 42 = 20
\(\Rightarrow\) (20, 42) = 42 - 20 = 22
\(\Rightarrow\) (22, 20) = (22 - 20) = 2
\(\Rightarrow\) (2, 20) = 20 - 2 = 18
\(\Rightarrow\)(18, 2) = 18 - 2 = 16
\(\Rightarrow\)(16, 2) = 16 - 2 = 14
\(\Rightarrow\)(14, 2)= 14 - 2 = 12
\(\Rightarrow\)(12, 2) = 12 - 2 = 10
\(\Rightarrow\)(10, 2) = 10 - 2 = 8
\(\Rightarrow\)(8, 2) \(\Rightarrow\) 8 - 2 = 6
\(\Rightarrow\) (6, 2) \(\Rightarrow\)6 - 2 = 4
\(\Rightarrow\) (4, 2) \(\Rightarrow\) 4 - 2 = 2
\(\Rightarrow\) (2, 2)
\(\therefore\) HCF of 188 and 430 is 2.
3.
4.
Candidate’s EMIS No
| 1 | 0 | 0 | 0 | 0 | 0 | 1 |
1. Name of the candidate in Capital Letters followed by initial leaving one box blank. (Do not write Miss/Master)
| R | A | N | J | I | T | H | A |
3. Father’s name in Capital Letters followed by initial leaving one box blank. (Do not write Mr./Dr./Prof)
| G | U | R | U |
4. Mother’s Name in Capital Letters followed by initial leaving one box blank. (Do not write Mrs./Dr./Prof)
| U | M | A |
5.
(i) By Euclid's game
Given numbers = 25 and 35
HCF\(\Rightarrow\)(25, 35) = HCF(25, 35 - 25)
= (25, 10)
= (25 - 10, 10) = (15, 10)
= (5, 10)
= (5, 10 - 5)
= (5, 5)
(ii) By Euclid's game
Given numbers = 36 and 12
HCF of 36 and and 12 \(\Rightarrow\)(36, 12)
\(\Rightarrow\) (36 -12, 12)
\(\Rightarrow\)(24, 12)
\(\Rightarrow\)(24 - 12, 12)
\(\Rightarrow\)(12, 12)
\(\therefore\) HCF = 12.
(iii)
Given numbers are 15 and 29
By Euclid's game:
HCF of 15 and 29 is
\(\Rightarrow\)(15, 29)
\(\Rightarrow\)(15, 29 - 15)
\(\Rightarrow\)(15, 14)
\(\Rightarrow\)(15 - 14, 14)
\(\Rightarrow\)(1, 14)\(\Rightarrow\) (1, 14 - 1) \(\Rightarrow\)(1, 13)
\(\Rightarrow\)(1, 13 -1) \(\Rightarrow\)(1, 12) \(\Rightarrow\)(1, 12 -1), (1, 11) (1, 1)
\(\therefore\) HCF = 1
6.
Fibonaxxi sequence 1,1,2,3,5,8,13,21,34,55
| Steps | Pattern 1 | Pattern 2 |
|---|---|---|
| i) | 1+3 = 4 | 5 -1 =4 |
| ii) | 1+3+8= 12 | 13--1 |
| iii) | 1+3+8+21 = 33 | 34-1 |
| iv) | 1+3+8+21+55=88 | 89-1 |
7.
(b)
2
8.
(a)
199
9.
(d)
3
10.
(a)
B
11.
(c)
27
12.
604 is common fer all postal Index numbers. Compare the remaining 3 digits are
604303, 604470, 604505, 604506 [2 times]
604509, 604510, 604515, 604516 [4 times]
604520, 604560 [2 times]
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).
604303; 604470; 604505; 604506; 604506; 604509; 604510; 604515; 604516; 604516; 604516; 604516; 604520; 604560; 604560
13.
Euclid's game
(28, 35, 41)
\(\Rightarrow\) (28, (35 - 28), (42 - 28))
\(\Rightarrow\) (28, 7, 14)
\(\Rightarrow\) (28 -7), 7, 14 - 7)
\(\Rightarrow\) (21, 7, 7) \(\Rightarrow\)((21 -7), 7, 7)
\(\Rightarrow\) (14, 7, 7)
\(\Rightarrow\) (14 - 7, 7, 7)
\(\Rightarrow\)(7, 7, 7)
\(\therefore\) HCF of (28, 35, 42) is 7
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