6th Standard Mathematics Book Back and Creative Important Question For All Chapter 2019-2020

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:

Multiple Choice Question

20 x 1 = 20

3 weeks = ___________ days

(a)

(b)

(c)

(d)

Every day 150 l of water is sprayed in the garden. Water sprayed in a week is ____________

(a)

700 l

(b)

1000 l

(c)

950 l

(d)

1050 l

1006 g is equal to _________

(a)

1 kg 6 g

(b)

10 kg 6 g

(c)

100 kg 6 g

(d)

1 kg 600 g

Which of the following cannot be the HCF of two numbers whose LCM is 120?

(a)

(b)

(c)

(d)

The greatest 4 digit number which is exactly divisible by 8, 9 and 12 is

(a)

9999

(b)

9996

(c)

9696

(d)

9936

Which of the following fractions is not a proper fraction?

(a)

\(\frac { 1 }{ 3 } \)

(b)

\(\frac { 2 }{ 3 } \)

(c)

\(\frac { 5 }{ 10 } \)

(d)

\(\frac { 10 }{ 5 } \)

The plural form of ‘datum’ is

(a)

datum

(b)

datums

(c)

data

(d)

datas

The tally marks represents the number count

(a)

(b)

(c)

(d)

The tally marks for the number 7 in standard form is_____________.

(a)

(b)

(c)

(d)

10.

The number 9785764 is rounded off to the nearest lakh as

(a)

9800000

(b)

9786000

(c)

9795600

(d)

9795000

11.

In this Figure, which is not the correct way of naming an angle?

(a)

∠Y

(b)

∠ZXY

(c)

∠ZYX

(d)

∠XYZ

12.

If a man walks 2 k.m. in 15 minutes, then he will walk ___________ k.m. in 45 minutes.

(a)

(b)

(c)

(d)

13.

The chart below shows the number of newspapers sold as per Indian Readership Survey in 2018. Which could be the missing number in the table?

Name of the Newspaper	Ranking	Sold (in Lakh)
A	1	70
B	2	50
C	3	?
D	4	10

(a)

(b)

(c)

(d)

14.

The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?

(a)

1489000 and 1492540

(b)

1489000 and 1490540

(c)

1490000 and 1490100

(d)

1480000 and 1490000

15.

A line is denoted as

(a)

(b)

\(\overrightarrow { AB } \)

(c)

\(\overleftrightarrow { AB } \)

(d)

\(\overline{\mathrm{AB}}\)

16.

An equivalent ratio of 4 : 7 is

(a)

1 : 3

(b)

8 : 15

(c)

14 : 8

(d)

12 : 21

17.

If 2 : 3 and 4: __________ are equivalent ratios, then the missing term is

(a)

(b)

(c)

(d)

18.

Radha is ‘x’ years of age now. 4 years ago, her age was

(a)

x − 4

(b)

4 − x

(c)

4 + x

(d)

19.

‘6y’ means

(a)

6 + y

(b)

6 − y

(c)

6 × y

(d)

\(\frac{6}{y}\)

20.

The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is ____________.

(a)

1 : 7

(b)

7 : 1

(c)

7 : 10

(d)

10 : 7

Generic 3

11 x 3 = 33

21.

In a school, 200 litres of lemon juice is prepared. If 250 ml lemon juice is given to each student, how many students get the juice?

22.

Find the HCF of the numbers 40 and 56 by division method.

23.

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?

24.

Draw the following angles using the protractor.
90º

25.

How many Triangles are there in each of the following figures?

26.

How many Triangles are there in each of the following figures?

27.

Draw a pictograph for the given data.

Month	June	July	August	September
Number of Computers sold	300	450	600	550

(Choose your own suitable scale)

28.

If the cost of a copy of Thirukkural book is Rs. 188, then find the estimated cost of 31 copies of such books. (Note: Find the rounded values of 188 and 31 and then find the result)

29.

The number of correct answers given by Kaarmugilan and Kavitha in a quiz competition are in the ratio 10 : 11. If they had scored a total of 84 points in the competition, then how many points did Kavitha get?

30.

Divide the numbers given below in the required ratio. 40 in the ratio 6 : 14

31.

Draw the next two patterns and complete the table.

Shapes	1^st Pattern	2^nd Pattern	3^rd Pattern	4^th Pattern	5^thPattern
Squares	1	2	3
Circles	1	2	3
Triangles	2	4	6

Generic 2

17 x 2 = 34

32.

Explain your answer with reason for the following statements
A number is divisible by 6, if it is divisible by 12.

33.

Observe and Collect the data for a minute:

i.	Number of times a person breathes	ii.	Number of situps
ii.	Number of times heart beats	iv.	Number of claps
iii.	Number of times the eyes blink	vi.	Number of lines to write
iv.	Distance by walking	viii.	Number of lines to read
v.	Distance by running	x.	Number of Tamil verbs to say

34.

The sum of any three odd natural numbers is odd. Justify this statement with an example.

35.

Find the numbers between 572634 and 562634 which is approximated to ten thousands place

36.

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?

37.

What is the supplementary and complementary angles of 60°

38.

Write the alternate name of the angle

39.

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	-	-	-	-	-	-	-	-	-	-

40.

Price of oil per litre is Rs.5 more than three times the price of cool drinks Express algebraically. 'p' Rs. Express algebraically

41.

Given 'n' students like ice cream. What may 2n show?

42.

There are 1000 students in a school. Data regarding the mode of transport of the students is given below. Draw a pictograph to represent the data.

Mode of Travel	On Foot	Bicycle	Scooter	Bus	Car
Number of Students	350	300	150	100	100

43.

Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).

44.

You have two red and two blue blocks. How many different towers can you build that are four blocks high using these blocks? List all the possibilities.

45.

Identify the types of angles shown by the hands of the given clock.
(i)

(ii)

(iii)

(iv)

(v)

46.

Answer the following questions.
What is the value of ‘s’, if '2s - 6' gives 30?

47.

Arrange the following numbers in the descending order:
128435, 10835, 21354, 6348, 25840

48.

Give two equivalent ratios for each of the following 3 : 2

Generic 5

6 x 5 = 30

49.

A handloom weaver takes 6 hours 20 minutes 30 seconds and 5 hours 50 minutes 45 seconds to weave two silk sarees. What is the total time to weave the two silk sarees?

50.

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

51.

Gopal is 8 years younger to Karan. If the sum of their ages is 30, how old is Karnan?

52.

Read the table and answer the following questions.

Name of the Star	Diameter (in miles)
Sun	864730
Sirius	1556500
Canopus	25941900
Alpha Centauri	1037700
Arcturus	19888800
Vega	2594200

(i) Write the Canopus star’s diameter in words, in the Indian and the International System.
(ii) Write the sum of the place values of 5 in Sirius star’s diameter in the Indian System.
(iii) Eight hundred sixty four million seven hundred thirty. Write in Indian System.
(iv) Write the diameter in words of Arcturus star in the International System.
(v) Write the difference of the diameters of Canopus and Arcturus stars in the Indian and the International Systems.

53.

In the following magic triangle, arrange the numbers from 1 to 6, so that you get the same sum on all its sides.

54.

Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumalgal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

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Answers Key:

Multiple Choice Question

20 x 1 = 20

(a)
21

(d)
1050 l

(a)
1 kg 6 g

(d)
9936

(d)
\(\frac { 10 }{ 5 } \)

10.

(a)
9800000

11.

(b)
∠ZXY

12.

13.

(d)
26

14.

(a)
1489000 and 1492540

15.

(d)
\(\overline{\mathrm{AB}}\)

16.

(d)
12 : 21

17.

(a)
6

18.

(a)
x − 4

19.

20.

(d)
10 : 7

Generic 3

11 x 3 = 33

21.

Total Quantity of Lemon Juice
= 200 l - 200000 ml
Each student get = 250 ml
No. of students get the juice
= 200000 ml
250ml
= 800 ml
800 students got the juice

22.

The product of common factors of 40 and 56
= 2 \(\times\) 2 \(\times\) 2 = 8 and so, HCF (40, 56) = 8
Dividing by the common factor 2, (in 3 steps)
HCF = Product of common factors
= 2 \(\times\) 2 \(\times\) 2 = 8

23.

(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.

24.

Construction:
(i) Placed the centre of the protractor at the vertex '0', Lined up the ray \(\overline { OP } \) with the 0° line. Then draw and labelled a point Qat 90° mark on the
(a) inner scale (anticlockwise) and
(b) outer scale (clockwise)
(ii) Removed the protractor and draw \(\overline { OQ } \) to complete the angle.
Now < O = < POQ == < QOP= 90°.

25.

Taking smaller triangles we have AFB, BFG, BGC, CGH, HCD, DHI, DIE, EIJ, EJA and AJF \(\Rightarrow \)10 triangles.
Taking the combination of 2.
CGD, CID, DJE, DHE, EIA, EFA, AGB, AJB, BHC and BFC are 10 triangles.
Combining 3 at a time we have CED, DAE, EBA, ACB, BDC, CEF, DBJ, GDA, EBH, ACI => 10 triangles.
Other triangles are BCE, CAD, DBE, ADB and ACE are 5 triangles.
\(\therefore \) Total 10 + 10 + 10 + 5 = 35 triangles.

26.

(iii) Every part A, B, C, D, E, F, G, H, I, J, K, L, M, N, O and P are 16 triangles.
Combining two at a time. A & B, B & C, C & D, D & A, J & K, L & M, N & O, P & I are 8 triangles.
Taking the combination of 4, we have I, J, E & A; K, L, F and B, M, N, G and C, P, O, H and D are 4 triangles.
Taking 8 parts together we have QRS, RST, STQ, and TRQ are 4 triangles.
\(\therefore \) Total triangles = 16 + 8 + 4 + 4 = 32 triangles.

27.

Pictograph of Number of computers sold

28.

Here, 188 is nearer to 200 and 31 is nearer to 30.
The exact cost of 31 copies is 188 \(\times\) 31 = Rs. 5828 whereas,
The estimated cost of 31 copies = 200 \(\times\) 30 = Rs. 6000
Therefore, the estimated cost of 31 copies of Thirukkural books is Rs. 6000.

29.

Correct answers given by Kaarmugilan and Kavitha are in the ratio 10:11
Total of 84 points will be divided into 10 + 11 = 21 equal parts
Points scored by Kavitha = \(\frac { 11 }{ 21 } \) \(\times\) 84 = 44 points
∴ Kavitha scored 44 points in the quiz.

30.

40 in the ratio 6 : 14.
Dividing 40 into 6 + 14 = 20 equal parts and
\(40\times\frac{6}{20}=12\)
\(40\times\frac{14}{20}=28\)
\(\therefore\) The numbers are 12, 28.

31.

Shapes	1^st Pattern	2^nd Pattern	3^rd Pattern	4^th Pattern	5^th Pattern
Squares	1	2	3	4	5
Circles	1	2	3	4	5
Triangles	2	4	6	8	10

Generic 2

17 x 2 = 34

32.

True, because 72 is divisible by 72, and also 72 is divisible by 6.
Therefore this statement is true.

33.

i.	Number of times a person breathes	15	ii.	Number of situps	30
ii.	Number of times heart beats	72	iv.	Number of claps	80
iii.	Number of times the eyes blink	62	vi.	Number of lines to write	4
iv.	Distance by walking	100 m	viii.	Number of lines to read	12
v.	Distance by running	200 m	x.	Number of Tamil verbs to say	35

34.

Let 3 odd natural numbers are 3, 7 and 9.
Sum = 3 + 7 + 9 = 19 is odd.
This statement is true.

35.

562634 < 570000 < 572634

36.

129 cm < 132 crn < 135 cm < 141 cm < 145 cm

37.

Supplementary angle is 120°
Complementary angle is 30°

38.

\(\angle ZYX \)

39.

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

40.

Price of cool drinks per kg =P Rs.
Three times = 3P
5 Rs. more = 3P +5
\(\therefore \) Price of oil per kg = 3P +5

41.

2n shows double the number of students who like icecream.

42.

The pictograph for the mode of transport of students

43.

Parallel and perpendicular lines

44.

6 possibilities,
i) R - B - R - B
ii) R - R - B - B
iii) B - R - R - B
iv) B - R - B - R
v) B - B - R - R
vi) R - B - B - R
(R- RED, B- BLUE)

45.

(i) Obtuse angle
(ii) Zero angle
(iii) Straight angle
(iv) Acute angle
(v) Right angle

46.

2s - 6 = 30
2s = 30 + 6
2s = 36
s = 36/2
s = 18

47.

Place value chart is given by

Qn.No	Given Number	L	TTH	TH	H	T	O
(i)	128435	1	2	8	4	3	5
(ii)	10835		1	0	8	3	5
(iii)	21354		2	1	3	5	4
(iv)	6348			6	3	4	8
(v)	25840		2	5	8	4	0

\(\Rightarrow\) The number with more digits is the greater number
Step 1: \(\therefore\) 128435 is the larger number and 6348 is the least number
Step 2: For the remaining 5 digit numbers we can compare the left most digits and find 25840 > 21354 > 10835
\(\therefore\) The descending order:
128435> 25840 > 21354 > 10835> 6348

48.

3:2
\(\frac{3}{2}\times\frac{2}{2}=\frac{6}{4}=6:4\)
\(\frac{3}{2}\times\frac{3}{3}=\frac{9}{6}=9:6\)
6 : 4 and 9 : 6 are equivalent to 3 : 2

Generic 5

6 x 5 = 30

49.

50.

(i) Vertical Bar Graph.

(ii) Horizontal Bar Graph.

51.

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

52.

(i) Indian System :Two crore fifty nine lakh forty one thousand nine hundred
International System : Twenty five million nine hundred forty one thousand nine hundred
(ii) 5,50,500
(iii) Eighty six crore forty lakh seven hundred thirty
(iv) Ninteen million eight hundred eighty eight thousand eight hundred
(v) Indian System : 60,53,100 - Sixty lakh fifty three thousand one hundred
International System : 6,053,100 - Six million fifty three thousand one hundred

53.

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.

The magic sum is 1 + 6 + 2 = 2 + 4 + 3 = 3 + 5 + 1 = 9. Some other ways are given below

The magic sum = 1 + 6 + 3 = 3 + 2 + 5 = 5 + 4 + 1 = 10

The magic sum 6 + 1 + 4 = 4 + 5 + 2= 2 T 3 + 6 = 11.

The magic sum 4 + 3 + 5 = 5 + 1 + 6= 6 + 2 + 4 = 12.

54.

Ratio of red beads: blue beads = 35: 30
Fraction of 35 : 30 \(=\frac{35}{30}\)
= 7:6
Also given that the bracelet made is smaller in size
∴ The possible ways are red beads: blue beads
The equivalent ways are
\( \frac{7 \times 2}{6 \times 2}=\frac{14}{12}=14: 12 \)
\( \frac{7 \times 3}{6 \times 3}=\frac{21}{18}=21: 18 \)
\( \frac{7 \times 4}{6 \times 4}=\frac{28}{24}=28: 24\)
= 7 : 6 (or) 14: 12 (or) 21 : 18 (or) 28 : 24
In 4 different way can she made.