6th Standard Syllabus & Materials
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Published on: 22/09/2018
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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.
Find the numbers between 572634 and 562634 which is approximated to ten thousands place
2.
Arrange in descending order - 8461, 7535, 2943, 6214
3.
Arrange in ascending order - 123456, 123546, 123623, 123511
4.
The number lock has the password number with 3 digits. The number is least even number and less than 200. Middle digit has no value separately. Find the password. The digits are used only once.
5.
The heights of five boys in class VI are 135, 141, 129, 132, 145 (in centimeters) in height. Arrange their heights as how they stand in the assembly?
6.
What is the supplementary and complementary angles of 60°
7.
Draw the diagram of two angles having only one common point.
8.
Write the alternate name of the angle 
9.
In the following Figure, name the angles.

10.
Complete the following pattern.
9 - 1 =
98 - 21 =
987 - 321 =
9876 - 4321 =
98765 - 54321 =
What comes next?
11.
Complete the table and by inspection of the table find the value of m when m +10 = 16.
| m | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| m+10 | - | - | - | - | - | - | - | - | - | - |
12.
Price of oil per litre is Rs.5 more than three times the price of cool drinks Express algebraically. 'p' Rs. Express algebraically
13.
Given 'n' students like ice cream. What may 2n show?
14.
The table given below shows the results of the matches played by 8 teams in a Kabaddi championship tournament,
| Teams | A | B | C | D | E | F | G | H |
| Total Matches played | 8 | 7 | n | a | 9 | 10 | 8 | y |
| Matches won | 5 | 6 | 4 | 7 | b | 6 | x | 3 |
| Matches lost | k | m | 6 | 2 | 3 | c | 4 | 6 |
Find the value of all the variables in the table given above.
15.
Identify the value of the shapes and figures in the table given below the verify their addition horizontally and vertically
16.
A piece of wire is '12 s' cm long. What will be length of the side if it is formed as
(i) an equilateral triangle.
(ii) a square?
17.
The following bar graph shows the number of people visited Mahabalipuram over a period of 5
months.
Use the graph to answer the following questions
(a) How many people visited Mahabalipuram in April?
(b) How many more people visited Mahabalipuram in May than in January?
(c) In which month, were there as many visitors as on March?
(d) In which month were there 1500 more visitors than in January?
(e) How many visitors were there in 5 months?
18.
The number of mathematics books sold by a shopkeeper on six consecutive days is shown below.
| Days | Sunday | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|---|
| Number of books sold | 65 | 40 | 30 | 50 | 20 | 70 |
Draw a bar graph to represent the above information choosing the scale of your choice.
19.
The above bar graph shows the number of students in different classes of a school. Read the graph and answer the following questions.
(a) How many students are in class X?
(b) How many students are in class VII?
(c) How many students are in class IX?
20.
Ragavi's father is a mobile shop owner. She finds the following data of sale of mobiles in a week.
| Day | Number of Mobiles sold |
| Monday | 50 |
| Tuesday | 45 |
| Wednesday | 40 |
| Thursday | 20 |
| Friday | 35 |
| Saturday | 30 |
| Sunday | 55 |
Draw a vertical and horizontal bar graph
21.
The number of bottles of honey sold by three different shops are given below
| Shops | Number of bottles of Honev |
| Shoo A | 80 |
| ShooB | 140 |
| ShooC | 180 |
(A) Draw a pictograph and answer the following questions {use the scale -20 bottles)
(a) What is the total profit of shop A, if the profit gabled on each bottle is 'E'150?
(b) If the total number of bottles sold is 400 how many figures must drawn for shops?
(c) Find the difference between the number of bottles sold by shop Band number of bottles sold by shop 'C'.
22.
Total number of students of a school in different years is shown in the following table
| Years | Number of Students |
|---|---|
| 1996 | 800 |
| 1997 | 500 |
| 1998 | 450 |
| 1999 | 600 |
| 2000 | 950 |
A) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions
(a) How many symbols represent total number of students in the year 2000?
(b) How many symbols represent total number students in the year 1997?
23.
Prepare a pictograph for the students of a class in various sections and answer the following questions
| Class | Number of Students |
| VIA | 60 |
| VIB | 25 |
| VIC | 30 |
| VID | 75 |
| VIE | 20 |
(a) How many pictures represent students of class VI E
(b) Which section has the maximum number of students?
(c) Which section has the least number of students.
24.
Mariana threw a die 40 times and noted the number appearing each time as shown below.
| 1 | 3 | 5 | 6 | 6 | 3 | 5 | 4 | 1 | 4 |
| 2 | 5 | 3 | 4 | 6 | 1 | 5 | 5 | 6 | 1 |
| 1 | 2 | 2 | 3 | 5 | 2 | 4 | 5 | 5 | 6 |
| 5 | 1 | 6 | 2 | 3 | 5 | 2 | 4 | 1 | 5 |
Make a table and enter the data using tally marks.
Find the number that appeared
(a) the minimum number of times
(b) the maximum number of times
(c) Find those numbers that appear an equal number of times.
25.
Following are the choice of sports for 20 students of class VI.
| Cricket | Football | Cricket | Tennis | Cricket |
| Badminton | Football | Cricket | Football | Tennis |
| Cricket | Badminton | Basketball | Football | Golf |
| Football | Hockey | Football | Hockey | Cricket |
Arrange the names of sports in a table using tally marks.
26.
Find the variables from the clues given below and solve the cross-word puzzle.


27.
The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many smallest squares are there in each of the rectangles P, Q, Rand S?
(ii) Fill in the boxes
| Rectangles | P | Q | R | S | T |
| Number of small size squares along the breadth | 2 | 2 | ? | 2 | 2 |
| Number of squares along the length | 1 | 4 | 3 | ? | X |
| Total number of squares in rectangle | ? | 8 | ? | 10 | ? |
28.
Gopal is 8 years younger to Karan. If the sum of their ages is 30, how old is Karnan?
29.
Tally marks I represents _______
30.
A observation occuring 8 times in a data is represented as _________ using tally marks.
31.
The data can be arranged in a tabular form using ______ marks
32.
A ________ is a collection of numbers gathered to give some meaningful information.
33.

(i) 'A' , 'O' and 'B' are______________ points
(ii) 'A', 'O' and 'C' are ____________ points
(iii) 'A' 'B' and, 'C' are_________ points
(iv) _________ is the point of concurrency
1.
562634 < 570000 < 572634
2.
8461 > 7535 > 6214 > 2943
3.
123456 < 123511 < 123546 < 123623
4.
102
5.
129 cm < 132 crn < 135 cm < 141 cm < 145 cm
6.
Supplementary angle is 120°
Complementary angle is 30°
7.

8.
\(\angle ZYX \)
9.
10.
9 -1 = 8
98 - 21 = 77
987 - 321 = 666
9876 - 4321 = 5555
98765 - 54321 = 44444
Next will be
987654 - 654321 = 333333
11.
| m | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| m+10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
From the table m + 10=16 When m =6
12.
Price of cool drinks per kg =P Rs.
Three times = 3P
5 Rs. more = 3P +5
\(\therefore \) Price of oil per kg = 3P +5
13.
2n shows double the number of students who like icecream.
14.
We know that
Total matches played: Matches wont Matches lost
\(\therefore \) 5+k=8 7=6+m 4+6=n
\(\therefore \)k=3 \(\therefore \) m=1 \(\therefore \)n=10
7+2=a 6+3=9 6+c=10
\(\therefore \)a=9 \(\therefore \)b=6 \(\therefore \)c=4
k=3 m=1 n=10 a=9 b=6 c=4 x=4 y=9 x=4
x+4=8 3+6=y
\(\therefore \)a=9 \(\therefore \) y=9
15.
![]() |
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=30 |
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=36 |
![]() |
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=32 |
![]() |
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![]() |
![]() |
=32 |
| =32 | =32 | =34 | =32 | =130 |
16.
(i) An equilateral triangle has 3 equal sides.
Length of the wire = '12 s' cm
\(\therefore \) Length of each side =\(\frac { 12s }{ 3 } cm\)
Length of each side of the triangle =4s cm
(ii) A square has four equal sides.
\(\therefore \) Length of each side \(\frac { 12s }{ 3 } cm\)
Length of each side of the square = 3s cm.
17.
(a) 3500 people visited Mahabalipuram in April
(b) 500 more people
(c) January
(d) April
(e) 11,500 people
18.
19.
(a) Number of students in class X = 80
(b) Number of students in class VII = 70
(c) Number of students in class IX = 100.
20.
(i) Vertical Bar Graph.
(ii) Horizontal Bar Graph.
21.
(A) Pictograph of number of bottles sold
(a) Profit per bottle = Rs. 150
Shop A's total profit = 80 \(\times
\) 150
= Rs. 12,000
(b) For 400 bottles, the figures to be drawn is \({400\over 20}=20\) bottles for shop 'C'?
(c) Difference = No. of bottles sold by shop 'C' - No. of bottles sold by shop 'B'
= 180 - 140
= 40 bottles.
22.
The pictograph is given by
(a) 9 Full pictures and a half picture represent the number of students in the year2000
(b) 5 symbols
23.
(a) 2 pictures represent students of class VI E
(b) VI D has the maximum number of students
(c) VI E has the least number of students
24.
Table using Tally Marks
(a) The number '4' appeared minimum number of times
(b) The number '5' appeared maximum number of times
(c) Numbers '1' and '6' appeared equal number of times.
25.
26.

27.
| Rectangles | P | Q | R | S | T |
| Number of small size squares along the breadth | 2 | 2 | 2 | 2 | 2 |
| Number of squares along the length | 1 | 4 | 3 | 5 | X |
| Total number of squares in rectangle | 2 | 8 | 6 | 10 | 2x |
28.
Let karnan's age be x years
Gopals age is x-8 years
Given sum of their ages is 30.
i.e. x+(x-8) = 30
Now we will form the table to find thier sums =30
| Karnan's age(x) | Gopal's age x-8 | sum x+(x-8) | result | Is Sum=30 Yes/No |
| 10 | 10 - 8 = 2 | 10+2 | 12 | No |
| 11 | 11- 8= 3 | 11 + 3 | 14 | No |
| 12 | 12 - 8 = 4 | 12 + 4 | 16 | No |
| 13 | 13- 8= 5 | 13 + 5 | 18 | No |
| 14 | 14 - 8 = 6 | 14 + 6 | 20 | No |
| 15 | 15 - 8 = 7 | 15 + 7 | 22 | No |
| 16 | 16 - 8 = 8 | 16 + 8 | 24 | No |
| 17 | 17-8= 9 | 17 + 9 | 26 | No |
| 18 | 18-8=10 | 18 + 10 | 28 | No |
| 19 | 19-8=11 | 19 + 11 | 30 | Yes |
For x =19(Karnan's age) the sum = 30
\(\therefore \) Karnan's age = 19 years
29.
( )
6
30.
( )
31.
( )
tally
32.
( )
data
33.
( )
(i) collinear points
(ii) non collinear points
(iii) end points / non collinear points.
(iv) 0
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