6th Standard Mathematics Book Back and Creative Important Question 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

Number of ordinary years between two consecutive leap years is _______________

(a)

4 years

(b)

2 years

(c)

1 year

(d)

3 years

7 km – 4200 m is equal to ____________

(a)

3 km 800 m

(b)

2 km 800 m

(c)

3 km 200 m

(d)

2 km 200 m

9 m 4 cm is equal to ____________

(a)

94 cm

(b)

904 cm

(c)

9.4 cm

(d)

0.94 cm

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

(a)

(b)

(c)

(d)

The prime factorisation of 60 is 2 \(\times\) 2 \(\times\) 3 \(\times\) 5. Any other number which has the same prime factorisation as 60 is

(a)

(b)

120

(c)

(d)

impossible

The equivalent fraction of \(\frac { 1 }{ 7 } \) is _____________

(a)

\(\frac { 2 }{ 15 } \)

(b)

\(\frac { 1 }{ 49 } \)

(c)

\(\frac { 7 }{ 49 } \)

(d)

\(\frac { 100 }{ 7 } \)

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 spaces between any two bars in a bar graph___________.

(a)

can be different

(b)

are the same

(c)

are not the same

(d)

all of these

A Pictograph is also known as____________.

(a)

Pictoword

(b)

Pictogram

(c)

Pictophrase

(d)

Pictograft

10.

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

(a)

(b)

(c)

(d)

11.

In this Figure, ∠AYZ = 45°. If point ‘A’ is shifted to point ‘B’ along the ray, then the measure of ∠BYZ is ___________
.

(a)

more than 45°

(b)

45°

(c)

Less than 45°

(d)

90°

12.

6 less to ‘n’ gives 8 is represented as

(a)

n − 6 = 8

(b)

6 − n = 8

(c)

8 − n = 6

(d)

n − 8 = 6

13.

Which list of numbers is in order from the smallest to the largest?

(a)

1468, 1486, 1484

(b)

2345, 2435, 2235

(c)

134205, 134208, 154203

(d)

383553, 383548, 383642

14.

A line is denoted as

(a)

(b)

\(\overrightarrow { AB } \)

(c)

\(\overleftrightarrow { AB } \)

(d)

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

15.

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

(a)

(b)

(c)

(d)

16.

The successor of 10 million is

(a)

1000001

(b)

10000001

(c)

9999999

(d)

100001

17.

1 billion is equal to ___________

(a)

100 crore

(b)

100 million

(c)

100 lakh

(d)

10000 lakh

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.

The ratio of the number of sides of a triangle to the number of sides of a rectangle is

(a)

4 : 3

(b)

3 : 4

(c)

3 : 5

(d)

3 : 2

20.

The ratio of Rs. 1 to 20 paise is __________.

(a)

1: 5

(b)

1: 2

(c)

2: 1

(d)

5: 1

Generic 3

11 x 3 = 33

21.

In a JRC one day camp, 150 gm of rice and 15 ml oil are needed for a student. If there are 40 students to attend the camp how much of rice and oil are needed?

22.

The LCM of two numbers is 432 and their HCF is 36. If one of the numbers is 108, then find the other number.

23.

Identify the value of the shapes and figures in the table given below the verify their addition horizontally and vertically

24.

Draw the following angles using the protractor.
180º

25.

Find the number of dots in the tenth figure of the following patterns.

26.

Chitra has to buy Laddus in order to distribute to her friends as follows:

Classes	VI	VII	VIII	IX	X
Number of Laddus	70	60	45	80	55

Draw a Bar Graph for this data.

27.

Suppose, you have two shorts, one is black and the other one is blue; three shirts which are in white, blue and red. You again wish to make different combinations, but you always want to make sure that the shorts and shirt that you wear are of different colours. List and check how many combinations are possible now.

28.

A particular high school has 1500 students 50 teachers and 5 administrators. If the school grows to 1800 students and the ratios are maintained, then find the number of teachers and administrators.

29.

Divide the numbers given below in the required ratio. 20 in the ratio 3 : 2

30.

Write the largest six digit number and put commas in the Indian and the International Systems.

31.

If ‘u’ is an even number, how would you represent
(i) the next even number?
(ii) the previous even number?

Generic 2

17 x 2 = 34

32.

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

33.

Find the sum of all the prime numbers between 10 and 20 and check whether that sum is divisible by all the single digit numbers.

34.

The LCM of two numbers is 6 times their HCF. If the HCF is 12 and one of the numbers is 36, then find the other number.

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.

Malarkodi has 10 oranges. If she ate 4 oranges, what fraction of oranges she was not eaten by her?

38.

Draw the diagram of two angles having only one common point.

39.

In the following Figure, name the angles.

40.

Complete the following pattern.
9 - 1 =
98 - 21 =
987 - 321 =
9876 - 4321 =
98765 - 54321 =
What comes next?

41.

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	-	-	-	-	-	-	-	-	-	-

42.

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

43.

Find the complementary angle of 85º

44.

Find the number of dots in the tenth figure of the following patterns.

45.

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

46.

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

47.

The teacher asked two students to write the algebraic statement for the verbal statement “8 more than a number”. Vetri wrote ‘8 + x’ but Maran wrote ‘8x’. Who gave the correct answer?

48.

How many ten thousands are there in the smallest 6 digit number?

Generic 5

6 x 5 = 30

49.

The arrival and departure timings of the Chennai - Trichy Express are given below.

Station	Arrival	Departure
Chennai Egmore	-	20:30
Chengalpattu	21:30	21:32
Villupuram junction	23:15	23:25
Virudhachalam junction	00:07	00:10
Trichy	04:30	-

(i) At what time does the train depart from Chennai Egmore to arrive at Trichy? The train departs from Egmore at 20:30 hours to arrive Trichy at 4:30 hours.
(ii) How long does it halt at Villupuram? It halts at Villupuram for 10 minutes.
(iii) How many halts are there in between Chennai and Trichy? There are 3 halts (1) Chengalpattu (2) Villupuram (3) Virudhachalam
(iv) Find the total journey time of the train from Chennai to Trichy.

50.

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?

51.

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	?

52.

Study the following table and answer the questions.

Year	No. of Tigers
1990	3500
2008	1400
2011	1706
2014	2226

(i) How many tigers were there in 2011?
(ii) How many tigers were less in 2008 than in 1990?
(iii) Did the number of tigers increase or decrease between 2011 and 2014? If yes, by how much?

53.

Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.

54.

A line segment 63 cm long is to be divided into two parts in the ratio 3 : 4. Find the length of each part.

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Answers Key:

Multiple Choice Question

20 x 1 = 20

(d)
3 years

(b)
2 km 800 m

(b)
904 cm

(d)
impossible

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

(b)
are the same

(b)
Pictogram

10.

11.

(b)
45°

12.

(a)
n − 6 = 8

13.

14.

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

15.

(a)
6

16.

(b)
10000001

17.

(a)
100 crore

18.

(a)
x − 4

19.

(b)
3 : 4

20.

(d)
5: 1

Generic 3

11 x 3 = 33

21.

1 Student = 150gm of rice
Therefore 40 students = 150gm \(\times\) 40
= 6000 gm
= 6 kg
Therefore 1 student = 15ml of oil
40 students = 40 \(\times\) 15
= 600 ml
= 0.6 ml
Therefore 6 kg of rice and 0:6 I of oil needed.

22.

We know that, the product of the two numbers = LCM \(\times\) HCF
108 \(\times\) (the other number) = 432 \(\times\) 36
The other number = (432 \(\times\) 36) \(\div \) 108 = 144

23.

				=30
				=36
				=32
				=32
=32	=32	=34	=32	=130

24.

Construction:
(i) Placed the centre of the protractor at the vertex I. Lined up the ray \(\overline { IJ } \) with the 0° line. Then draw and labelled a point K at the 180° mark on the
(a) inner scale (anticlockwise)
(b) outer scale (clockwise)
(ii) Removed the protractor and \(\overline { IK } \) draw to complete the angle.
Now < I = < JHK = < KIJ. = 180°, which is a straight Angle.

25.

The number of dots given are 1, 3, 6, 10, 15, ...

Pattern	Number of dots
1	1
2	3
3	6
4	10
5	15

1^st number = 1
2^nd number = 1 + 2 = 3
3^rd number = 3 + 3 = 6
4^th number = 6 + 4 = 10
5^th number = 10 + 5 = 15
6^th number will be 15 + 6 = 21
7^th number will be 21 + 7 = 28
8^th number will be 28 + 8 = 36
9^th number will be 36 + 9 = 45
10^th number will be 45 + 10 = 55
Number of dots in the 10^th figure = 55.

26.

27.

We have given two shorts which are black and blue colour. Take it as T black and T blue.
Also we have 3 shirts, coloured white, blue and red denoted by S white, S blue and S red.
Now fix T black and then T blue the different combinations are

Thus we get total of 6 combinations as
Black short and White shirt
Black short and Blue shirt
Black short and Red shirt
Blue short and White shirt
Blue short and Blue shirt
Blue short and Red shirt.
But it is given short and shirt are of different colours.
\(\therefore\) We give up Blue short and Blue shirt combination. So we have 5 different combinations.

28.

The ratio of Students : teachers : administrators = 1500 : 50 : 5.
The new ratio of Students : teachers : administrators = 1800 : new teachers : new administrators
Given the ratios are maintained.
i.e., they are proportional.
∴ \(\frac { 1500 }{ 1800 } =\frac { 50 }{ New\quad teachers } =\frac { 5 }{ New\quad admins } \)
From the first two ratios, taking, cross product
\(\frac { 1500 }{ 1800 } =\frac { 50 }{ New\quad teachers } \)
New Teachers \(\times\) 1500 = 50 \(\times\) 1800
New Teacher = \(\frac { 50\times 1800 }{ 1500 } \)
New Teacher = 60
Also \(\frac { 1500 }{ 1800 } =\frac { 5 }{ New(admin) } \)
New admins \(\times\) 1500 = 5 \(\times\) 1800
New admms = \(\frac { 5\times 1800 }{ 1500 } \) = 6
∴ For 1800 students 60 teachers and 6 administrators are needed.

29.

20 in the ratio 3 : 2
Dividing 20 into 3 + 2 = 5 equal parts, then
\(20\times\frac{3}{5}=12\)
\(20\times\frac{2}{5}=8\)
\(\therefore\) The required answer is 12, 8

30.

The Largest six digit number is 999999

Indian System
Lakh	Ten Thousand	Thousand	Hundred	Ten	One	The number
9	9	9	9	9	9	9,99,999

International System
Hundred thousand	Ten thousand	Thousand	Hundred	Ten	One	The number
9	9	9	9	9	9	9,99,999

31.

(i) The next even number = u + 2
(ii) The previous even number = u – 2

Generic 2

17 x 2 = 34

32.

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

33.

All the prime numbers between 10 and 20 are 11, 13, 17 and 19
sum = 11 + 13 + 17 + 19
= 60 - single digits ( 1 to 9 )
i) 60 is divisible by 1.
ii) 60 is divisible by 2.
iii) 60 is divisible by 3.
iv) 60 is divisible by 4.
v) 60 is divisible by 5.
vi) 60 is divisible by 6.
vii) 60 is not divisible by 7, 8 and 9.
Therefore the sum 60 is divisible by 1, 2, 3, 4, 5 and 6.

34.

Given LCM = 6 \(\times\) HCF
HCF = 12
one of the numbers = 36
Product of 2 given numbers = LCM \(\times\) HCF
Therefore 36 x other number = 6HCF \(\times\) 12 = 6 \(\times\) 12 \(\times\) 12
Therefore other number =( 6 \(\times\) 12 \(\times\) 12) / 36 = 6 \(\times\) 4 = 24
Other number is 24.

35.

562634 < 570000 < 572634

36.

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

37.

\(\frac { Oranges\ not\ eaten }{ Total\ oranges } =\frac { 10-4 }{ 10 } \)
\(=\frac { 6 }{ 10 } \)

38.

\(\angle COD\ and\ \angle AOB\) have the point 'O' in common

39.

\(\angle AOB,\angle BOZ,\angle AOZ\)

40.

9 -1 = 8
98 - 21 = 77
987 - 321 = 666
9876 - 4321 = 5555
98765 - 54321 = 44444
Next will be
987654 - 654321 = 333333

41.

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

42.

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

43.

Complementary angle of 85º = 90º - 85º = 5º

44.

The number of dots given are 1, 4, 9, 11, 16, 25, ...
The no. of dots are in the pattern 1 \(\times\) 1, 2 \(\times\) 2, 3 \(\times\) 3, 4 \(\times\) 4, 5 \(\times\) 5 .... 10 \(\times\) 10
\(\therefore \) The number of dots in the 10^th figure = 100.

45.

Parallel lines

46.

47.

Verbal statement of Teacher = " 8 more than a number "
Algebraic statement of Vetri = 8 + x
Algebraic statement of Maran = 8 x
Algebraic operation for more than is '+'
So Vetri's answer is correct.

48.

Smallest 6 digit number = 100000
\(\frac{6 \text { digit number }}{\text { ten thousand }}=\frac{100000}{10000}=10\)
There are 10 ten thousands in the smallest 6 digit number

Generic 5

6 x 5 = 30

49.

If the journey crosses the midnight, calculate the time duration from starting hours to midnight, then from midnight to arrival time.

Method-1	Method-2
Duration up to midnight	Total journey time = 3 hours 30 minutes+4 hours 30 minutes = 7 hours 60 minutes = 7 hours +1 hour = 8 hours
Duration from midnight to arrival = 4 hours 30 minutes Total journey time = Duration up to midnight + Duration from midnight to arrival = 3 hours 30 minutes + 4 hours 30 minutes = 7 hours 60 minutes = 7 hours + 1 hour = 8 hours

50.

The pictograph is given by

(a) 9 Full pictures and a half picture represent the number of students in the year2000
(b) 5 symbols

51.

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

52.

(i) There are 1706 tigers in 2011
(ii) No. of tigers in 2008 = 1400
No. of tigers in 1990 = 3500
There were 2100 lesser tigers
(iii) No. of tigers in 2014 = 2226
No. of tigers in 2011 = 1706
= 520
\(\therefore\) 2226 > 1706
\(\therefore\) The number of tigers increased from 2011 to 2014.
Yes, the number of tigers increased, 520 more tigers are there in 2014.

53.

The odd numbers between 1 to 17 are 1, 3, 5, 7, 9, 11, 13, 15, 17.
Step 1: Place the smaller numbers 1, 3 : 5 on the comers.

Step 2: Arrange another set of smaller numbers 7, 9 and 11 on each side.

Step 3: Arrange the remaining numbers 13, 15, 17 to give the total 30.

Magic sum = 30.

54.

Total length 63 cm, on dividing 3 + 4 = 7 equal parts, we get the line segments with lengths
\(\frac{3}{7}\times63=27\ cm\)
\(\frac{4}{7}\times63=36\ cm\)
Length of each line segment is 27 cm & 36 cm