6th Standard Syllabus & Materials
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Published on: 05/09/2026
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 Test
1.
Representation of data by using pictures is known as__________.
2.
Fill in the blanks with > or < or =.
1248654 _____ 1246854
3.
A ray has ____________ end point(s).
4.
The letters a, b, c, … x, y, z are used to represent______________.
5.
Ratio of 3 m to 200 c.m = __________.
6.
8567 is rounded off as 8600 to the nearest 10.
7.
88° and 12° are complementary.
8.
If the cost of 10 rice bags is Rs. ‘t’, then the cost of 1 rice bag is Rs.\(\frac{'t'}{10}.\)
9.
5 : 7 is equivalent to 21 : 15
10.
Successor of a one digit number is always a one digit number
11.
Viji threw a die 30 times and noted down the result each time as follows. Prepare a table on the numbers shown using Tally Marks.
14 3 5 5 6 6 4 3 5 4 5 6 5 2
4 2 6 5 5 6 6 4 5 6 6 5 4 1 1
12.
Answer the following questions.
If ‘n’ takes the value 3 then find the value of ‘n + 10’?
13.
Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?
14.
Express the following verbal statement to algebraic statement.
56 added to 2 times ‘x’.
15.
Find the ratio of 500 g to 250 g
16.
Observe the commas and write down the place value of 7. 56,74,56,345
17.
Draw the following angles using the protractor.
135º
18.
Construct a line segment using ruler and compass AB = 7.5 cm
19.
The tally marks 
represents the number count
5
8
9
10
20.
The value of ‘y’ in y + 7 = 13 is
y = 5
y = 6
y = 7
y = 8
21.
A line is denoted as
AB
\(\overrightarrow { AB } \)
\(\overleftrightarrow { AB } \)
\(\overline{\mathrm{AB}}\)
22.
The expanded form of the number 6,70,905 is
6 \(\times\) 10000 + 7 \(\times\) 1000 + 9 \(\times\) 100 + 5 \(\times\) 1
6 \(\times\) 10000 + 7 \(\times\) 1000 + 0 \(\times\) 100 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1
6 \(\times\) 1000000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1
6 \(\times\) 100000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1
23.
‘6y’ means
6 + y
6 − y
6 × y
\(\frac{6}{y}\)
24.
For the given ratios, find two equivalent ratios and complete the table.
| Ratio | Fraction Form | Equivalent ratio | |
| (i) | 1 : 3 | \( \frac{1}{3} \) | \(\frac{1}{3} \times \frac{2}{2}=\frac{2}{6}=2: 6 \text { and } \frac{1}{3} \times \frac{3}{3}=\frac{3}{9}=3: 9\) |
| (ii) | 3 : 7 | \( \frac{3}{7} \) | |
| (iii) | 5 : 8 | \( \frac{5}{8} \) |
25.
From the figures given below, classify the following pairs of angles into complementary and non complementary
26.
In the following magic triangle, arrange the numbers from 1 to 6, so that you get the same sum on all its sides.
27.
Round off the number 8,436 to the nearest hundreds.
28.
A piece of wire is ‘12s’ cm long. What will be the length of the side, if it is formed as
(i) an equilateral triangle
(ii) a square
29.
The heights (in metres) of the mountains in Tamil Nadu are as follows:
| SI.No | Mountains | Height (in metres) |
| 1 | Doddabetta | 2637 |
| 2 | Mahendragiri | 1647 |
| 3 | Anaimudi | 2695 |
| 4 | Velliangiri | 1778 |
(i) Which is the highest mountain listed above?
(ii) Order the mountains from the highest to the lowest.
(iii) What is the difference between the heights of the mountains Anaimudi and Mahendragiri?
30.
From the given figure, name
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines.
(iii) pair of lines whose point of intersection is ‘V’.
(iv) point of intersection of the lines ‘ l2’ and ‘l3’.
(v) point of intersection of the lines ‘l1’ and ‘l5’.
1.
( )
Pictograph
2.
( )
>
3.
( )
One
4.
( )
Variables
5.
( )
3 : 2
6.
(b)
7.
(b)
8.
(a)
9.
(b)
10.
(b)
11.
12.
13
13.
The greatest number is 1386787215
The smallest number is 86720560
14.
56 + 2x
15.
500 g to 250 g = 500 : 250 \(\Rightarrow\) \({500\over 250}={500 \div 250\over 250\div 250}={2\over1}=2:1\)
This is the ratio in the simplest form.
16.
56, 74, 56, 345
Place value of 7 is 7 \(\times\) 10,00,000
= 70,00,000
= Seventy Lakhs
17.
Construction:
(i) Placed the centre of the protractor at the Vertex A. Lined up the \(\overline { EG } \) ray with the 0° line. Then draw and labelled a point F at the 135° mark on the (a) inner scale (anti clockwise) and (b) outer scale (clockwise)
(ii) Removed the protractor and draw \(\overline { EF } \) to complete the angle.
Now LE= LFEG = LGEF = 135°.
18.
AB = 7.5 cm
Construction:
Step 1: Drawn a line I and marked the point A
Step 2: Measured 7.5 cm using compass placing the pointer at 'O' and pencil pointer at 7.5 cm
Step 3: Placing compass pointer at A, drawn an arc on l with the pencil pointer. It cut 'l' at B
Step 4: AB is the required segment of length 7.5 cm
19.
(c)
9
20.
(b)
y = 6
21.
(d)
\(\overline{\mathrm{AB}}\)
22.
(d)
6 \(\times\) 100000 + 7 \(\times\) 10000 + 0 \(\times\) 1000 + 9 \(\times\) 100 + 0 \(\times\) 10 + 5 \(\times\) 1
23.
(c)
6 × y
24.
ii) Ratio = 3 : 7
Fraction = \(\frac{3}{7}\)
Equivalent Ratio = \(\frac{3}{7} \times \frac{2}{2}=\frac{6}{14}=6: 14\) and \(\frac{3}{7} \times \frac{3}{3}=\frac{9}{21}=9: 21\)
ii) Ratio = 5 : 8
Fraction = \( \frac{5}{8} \)
Equivalent Ratio \( =\frac{5}{8} \times \frac{2}{2}=\frac{10}{16}=10: 16 \ and\ \frac{5}{8} \times \frac{3}{3}=\frac{15}{24} \)
= 15 : 24
25.
(i) and (iv) are complementary angles
(ii) and (iii) are non-complementary angles
26.
Step 1: Complete the corners with smaller numbers 1, 2 and 3.
Step 2: The side having smallest numbers 1 & 2 are to be filled with the greatest number 6, the second smallest 1 & 3 side to be filled with the second largest 5 at the middle and so on.
a.JPG)
The magic sum is 1 + 6 + 2 = 2 + 4 + 3 = 3 + 5 + 1 = 9. Some other ways are given below
b.JPG)
The magic sum = 1 + 6 + 3 = 3 + 2 + 5 = 5 + 4 + 1 = 10
c.JPG)
The magic sum 6 + 1 + 4 = 4 + 5 + 2= 2 T 3 + 6 = 11.
d.JPG)
The magic sum 4 + 3 + 5 = 5 + 1 + 6= 6 + 2 + 4 = 12.
27.
| Step | To do | 8,436 to hundreds |
| Step 1 | Find the digit in hundreds place | 8,436 |
| Step 2 | Look at the digit to its right | 8,436 |
| Step 3 | If this digit is 5 or greater, add 1 to it. If it is less than 5, leave it unchanged | 8,436 (3<5) Leave 4 unchanged |
| Step 4 | Change the digits to the right of 4 to zeros | 8,400 |
28.
(i) Length of wire = '12 s' cm
Sum of 3 sides of equilateral triangle = '12 s'
3 \(\times\) side = 12 s
The length of a side = \(\frac{12 \mathrm{~s}}{3}=\) '4 s' cm
(ii) Sum of 4 sides of square = '12 s'
The length of a side = \(\frac{12 \mathrm{~s}}{4}=\) '3 s' cm
29.
Arranging the numbers in place value chart
| Mountains | TH | H | T | O |
|---|---|---|---|---|
| Doddabetta | 2 | 6 | 3 | 7 |
| Mahendragiri | 1 | 6 | 4 | 7 |
| Anaimudi | 2 | 6 | 9 | 5 |
| Velliangiri | 1 | 7 | 7 | 8 |
(i) Highest mountain is Anaimudi [Comparing left most digits]
(ii) From the above chart
In thousands place, Doddabetta and Anaimudi have greater value 2.
Comparing digits of 2637 and 2695
2 = 2, 6 = 6, 3 < 9.
\(\therefore\) 2637 < 2695
Again comparing the digits of 1647 and 1778
1=1,6 < 7
\(\therefore\) 1647 < 1778.
\(\therefore\) The required order is 2695 > 2637 > 1778> 1647.
\(\therefore\) Anaimudi > Doddabetta > Veliangiri > Mahendragiri
(iii)
| The height of Anaimudi mountain | = 2695 m |
| The height of mahendragiri mountain | = 1647 m |
| The difference | = 1048 m |
30.
(i) all pairs of parallel lines.
l3 and l4 ,l4 and l5 ,l3 and l5
(ii) all pairs of intersecting lines.
l1 and l2, l1 and l3 , l1 and l4 , l1 and l5 , l2 and l3 , l2 and l4, l2 and l5
(iii) pair of lines whose point of intersection is ‘V’.
l1 and l2
(iv) point of intersection of the lines ‘ l2’ and ‘l3’. l1 and l2
Q
(v) point of intersection of the lines ‘l1’ and ‘l5’.
U
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