6th Standard Mathematics Model Questions Full Chapter 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

2 ½ years is equal to ______________ months.

(a)

(b)

(c)

(d)

What time will it be 5 hours after 22:35 hours?

(a)

2:30 hours

(b)

3:35 hours

(c)

4:35 hours

(d)

5:35 hours

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

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 sum of the factors of 27 is

(a)

(b)

(c)

(d)

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

The representation of ‘one picture to many objects’ in a Pictograph is called__________.

(a)

Tally mark

(b)

Pictoword

(c)

Scaling

(d)

Frequency

A point of concurrency in the figure is _________.

(a)

(b)

(c)

(d)

A set of collinear points in the figure are _________.

(a)

A, B, C

(b)

A, F, C

(c)

B, C, D

(d)

A, C, D

10.

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

(a)

(b)

(c)

(d)

11.

The number 9785764 is rounded off to the nearest lakh as

(a)

9800000

(b)

9786000

(c)

9795600

(d)

9795000

12.

If a barbie doll costs Rs. 90, then the cost of 3 such dolls is Rs. ___________.

(a)

260

(b)

270

(c)

(d)

13.

The value of 24 \(\div \) {8-(3\(\times\)2)} is

(a)

(b)

(c)

(d)

14.

If the ratios formed using the numbers 2, 5, x, 20 in the same order are in proportion, then ‘x’ is

(a)

(b)

(c)

(d)

15.

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

16.

If Rs. 1600 is divided among A and B in the ratio 3 : 5 then, B’s share is

(a)

Rs 480

(b)

Rs 800

(c)

Rs 1000

(d)

Rs 200

17.

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

(a)

(b)

(c)

(d)

18.

The successor of 10 million is

(a)

1000001

(b)

10000001

(c)

9999999

(d)

100001

19.

The number of days in ‘w’ weeks is

(a)

30 + w

(b)

30w

(c)

7 + w

(d)

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.

Thenmozhi’s height is 1.25 m now. She grows 5 cm every year. What would be her height after 6 years?

22.

The product of 2 two digit numbers is 300 and their HCF is 5. What are the numbers?

23.

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.

24.

Draw the following angles using the protractor.
38º

25.

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

26.

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

27.

The following table shows the number of tourists who visited the places in the month of May. Draw a pictograph.

Place	Mahabalipuram	Vedanthangal	Hogenakkal	Ooty
Number of Tourists	20,000	15,000	40,000	35,000

(Choose your own suitable scale)

28.

Cholan walks 6 km in 1 hour at constant speed. Find the distance covered by him in 20 minutes at the same speed.

29.

Which of the two ratios is larger? 4 : 5 or 8 : 15

30.

Express the following algebraic statement to verbal statement.
x ÷ 3

31.

Write the number names of the following numerals in the Indian System. 9,75,63,453

Generic 2

17 x 2 = 34

32.

A bag contains 81 kg of sugar. If the shopkeeper fill up these into small packets of 750 g each, then how many packets can be made from 81 kg of sugar?

33.

I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?

34.

Express 42 and 100 as the sum of two consecutive primes.

35.

Arrange in descending order - 8461, 7535, 2943, 6214

36.

Arrange in ascending order - 123456, 123546, 123623, 123511

37.

What is the supplementary and complementary angles of 60°

38.

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

39.

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

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.

Find the supplementary angle of 95º

43.

Find the supplementary angle of 35º

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.

Round off the following to the given nearest place. 86,943; ten thousand

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.

Answer the following questions.
If ‘n’ takes the value 3 then find the value of ‘n + 10’?

48.

Madhavi and Anbu bought two tables for Rs. 750 and Rs. 900 respectively. What is the ratio of the prices of tables bought by Anbu and Madhavi?

Generic 5

6 x 5 = 30

49.

Find the duration between 6 a.m and 4 p.m

50.

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?

51.

Find the variables from the clues given below and solve the cross-word puzzle.

52.

Count the number of squares in each of the following figures?

53.

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.

54.

The ingredients required for the preparation of Ragi Kali, a healthy dish of Tamilnadu is given below.

Ingredients	Quantity
Ragi flour	4 cups
Raw rice broken	1 cup
Water	8 cups
Sesame oil	15 ml
Salt	10 mg

(a) If one cup of ragi flour is used then, what would be the amount of raw rice required?
(b) If 16 cups of water is used, then how much of ragi flour should be used?
(c) Which of these ingredients cannot be expressed as a ratio? Why?

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Answers Key:

Multiple Choice Question

20 x 1 = 20

(b)
30

(b)
3:35 hours

(a)
1 kg 6 g

(d)
impossible

(b)
are the same

(b)
F

(b)
A, F, C

10.

11.

(a)
9800000

12.

(b)
270

13.

(b)
12

14.

(d)
8

15.

(a)
n − 6 = 8

16.

17.

(a)
6

18.

(b)
10000001

19.

(d)
7w

20.

(d)
10 : 7

Generic 3

11 x 3 = 33

21.

Thenmozhi's height 1m 25 cm Therefore 1 student = 15ml of oil
= 125 cm
She grows in 1year = 5 cm
Therefore 6 years = 5 \(\times\) 6 = 30 cm
After 6 years,
Thenmozhi's height = (125 + 30) cm needed.
= 155 cm

22.

Given
The product of 2 two digit numbers = 300, HCF = 5
300 = \(15 \times 20=60 \times 5=100 \times 3=2 \times 150=75 \times 4\)
But, given that, two digit numbers.
Therefore 60 \(\times\) 5, 100 \(\times\) 3, 2 \(\times\) 150, 75 \(\times\) 4 is not possible.
300 = 15 \(\times\) 20

HCF = 5
Therefore numbers are 15, 20.

23.

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

24.

Construction:
(i) Placed the centre of the protractor at the vertex L. Lined up the ray \(\overline { LM } \) with the 0° line. Then draw and labelled a point N at 38° mark on the
(a) inner scale (anticlockwise) and
(b) outer scale (clockwise).
(ii) Removed the protractor and draw \(\overline { LN } \) to complete the 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.

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.

27.

28.

1 hour = 60 minutes
Distance covered by cholan in 60 minutes = 6 km
Distance covered in one minutes = \(\frac{6}{60}\)
Distance covered in 20 minutes = \(\frac{6}{60} \times 20\)
= 2 km

29.

\(4:5=\frac{4}{5}\times\frac{3}{3}=\frac{12}{15}\)
\(8:15=\frac{8}{15}\)
Here \(\frac{12}{15}\) larger than \(\frac{8}{15}\) and 4: 5 is larger than 8: 15

30.

x divided by 3

31.

9,75,63,453

C	TL	L	TTH	TH	H	T	O
9	7	5	6	3	4	5	3

Nine crore seventy five lakh sixty three thousand four hundred fifty three

Generic 2

17 x 2 = 34

32.

Quantity of sugar in the bag = 81 kg
Quantity of sugar in each packet =750 g
Number of packets required = 81 kg \(\div \) 750 g
= 81 \(\times\) 1000 g \(\div \) 750 g
= 81000 g \(\div \) 750 g
= 108

33.

Given Sum of my digits is 10.
Factors of 57 are 1, 3, 19, 57
Here, 19 and 57 are two digit prime numbers.
Therefore 19 = 1 + 9 = 10.
Therefore I am 19.

34.

42 = 19+23;
100 = 47+53

35.

8461 > 7535 > 6214 > 2943

36.

123456 < 123511 < 123546 < 123623

37.

Supplementary angle is 120°
Complementary angle is 30°

38.

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

39.

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

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.

85˚

43.

supplementary angle of 35º = 180º - 35º = 145º

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.

To round off 86,943 to ten thousand
The digit in ten thousands place is 8
The digit to the right is 6 > 5
Adding 1 to 8 \(\Rightarrow\) 8 + 1 = 9.
Changing the digits to the right of 9 to zeroes we get 90,000
\(\therefore\) 86943 \(\simeq \) 90,000

46.

47.

48.

The ratio of the price, of tables bought by Anbu and Madhavi
\(=900:750={900\over 750}\Rightarrow {900\div 150\over 750\div 150}={6\over5}=6:5\)
This is the ratio in the simplest form.

Generic 5

6 x 5 = 30

49.

Method-1	Method-2
Conversion of 6 a.m to Railway time = 06:00 hours Conversion of 4 p.m to Railway time = (4+12) hours = 16:00 hours Time duration between 6 a.m and 4 p.m = The difference between 16 hours and 6 hours = 16 hours - 6 hours = 10 hours	= 6 hours + 4 hours = 10 hours

50.

(a) Number of students in class X = 80
(b) Number of students in class VII = 70
(c) Number of students in class IX = 100.

51.

52.

As we see in the figure in the middle 1, 2, 3 and 4 are 4 small squares.
Also we have 9 and 10 => 2 big squares. Outer squares 5, 6, 7, & 8 => 4.
Total = 4 + 4 + 1 + 1 = 10 squares.

53.

(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

54.

(a) Given Ragi flour:raw rice = 4 : 1
If one cup of ragi flour used then the ratio of ragi flour : raw rice = \(\frac { 4 }{ 4 } :\frac { 1 }{ 4 } =1:\frac { 1 }{ 4 } \)
Raw rice required = \(\frac { 1 }{ 4 } \) cup
(b) Ratio of water : ragi flour = 8 : 4
If 16 cups of water used then ratio of water : ragi flour = 8\(\times\)2 : 4\(\times\)2 = 16 : 8.
So, 8 cups of ragi flour is used.
(c) We know that the quantities of same units can be compared. Here Ragi flour, Raw rice and water are in one unit, Sesame oil and salt are in different units, these different units cannot be compared and cannot be expressed as a ratio.