Everyone has the same aim that is to reach the top rank list. We are paving the way for you to reach your goal. Practice with important questions from all chapters and get set ready to crack your exams with confidence. It's nearing the examination and right time to grab the model question papers and practice for the board exams.

Here is the most important question paper for samacheer 6th Maths for the chapter Ratio and Proportion. The question paper is prepared based on the new samacheer syllabus. Get thorough knowledge in individual chapters helps you to score more. The question paper is created with value-added questions.

It's the right time to grab chapter wise model question papers and practice for the exams. By practicing repeatedly you will get the idea of answering the questions and this improves the speed of answering. This will save the time and you can complete all the questions without any last our tension. Get more model question papers and practice for SSLC Class 6 Maths examination.

From this question paper, it covers the important question of half yearly syllabus of the current academic year. From this students can get high marks in their exam.
Half Yearly syllabus covers all units.

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

15 x 1 = 15

Which of the following can be the sides of an isosceles triangle?

(a)

6cm, 3cm, 3cm

(b)

5cm, 2cm, 2cm

(c)

6cm, 6cm,7cm

(d)

4cm, 4cm, 8cm

Which of the following is not possible?

(a)

An obtuse isosceles triangle

(b)

An acute isosceles triangle

(c)

An obtuse equilateral triangle

(d)

An acute equilateral triangle

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

Which is the greatest? 0.007 g, 70 mg, 0.07 cg

(a)

0.07 cg

(b)

0.007 g

(c)

70 mg

(d)

all are equal

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

(a)

Tally mark

(b)

Pictoword

(c)

Scaling

(d)

Frequency

Which of the following is not true?

(a)

(4237 + 5498) + 3439 = 4237 + (5498 + 3439)

(b)

(4237 \(\times\) 5498) \(\times\) 3439= 4237 \(\times\) (5498 \(\times\) 3439)

(c)

4237 + 5498 \(\times\) 3439 = (4237 + 5498) \(\times\) 3439

(d)

4237 \(\times\) (5498 + 3439) = (4237 \(\times\) 5498) + (4237 \(\times\) 3439)

The estimated difference of 167826 and 2765 rounded off to the nearest thousand is

(a)

180000

(b)

165000

(c)

140000

(d)

155000

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°

The value of ‘y’ in y + 7 = 13 is

(a)

y = 5

(b)

y = 6

(c)

y = 7

(d)

y = 8

10.

A line is denoted as

(a)

(b)

\(\overrightarrow { AB } \)

(c)

\(\overleftrightarrow { AB } \)

(d)

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

11.

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

(a)

(b)

(c)

(d)

12.

The difference between the successor and the predecessor of 99999 is

(a)

90000

(b)

(c)

(d)

99001

13.

1 billion is equal to ___________

(a)

100 crore

(b)

100 million

(c)

100 lakh

(d)

10000 lakh

14.

‘6y’ means

(a)

6 + y

(b)

6 − y

(c)

6 × y

(d)

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

15.

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 2

5 x 2 = 10

16.

If one angle of an isosceles triangle is 70°, then find the possibilities for the other two angles.

17.

Manimegalai purchased a house for Rs. 25,52,500 and spent Rs. 2,28,350 for its repair. She sold it for Rs. 30,52,000. Find her gain or loss.

18.

Find the HCF and the LCM of the numbers 154, 198 and 286.

19.

A car covers a distance of 125 km in 5 kg of LP Gas. How much distance will it cover in 3 kg of LP Gas?

20.

Observe the commas and write down the place value of 7. 567,456,345

Generic 3

10 x 3 = 30

21.

Check whether the Tree diagrams are equal or not.

22.

In one year, a paper company had sold 6,25,610 notebooks out of a stock of 7,50,800 notebooks. Find the number of notebooks left unsold.

23.

Muthu has a car worth Rs. 8,50,000 and he wants to sell it at a profit of Rs. 25,000. What should be the selling price of the car?

24.

Raghu buys a chair for Rs. 3000. He wants to sell it at a profit of Rs. 500 after making a discount of Rs. 300. What is the M.P. of the chair?

25.

Convert into indicated units:
(i) 10 l and 50 ml into ml
(ii) 4 km and 300 m into m
(iii) 300 mg into g

26.

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

27.

From the figure name a pair of
(i) name a pair of complementary angles
(ii) name a pair of supplementary angles

28.

How many triangles are there in the given figures?

29.

Simplify : 24 + 2 \(\times\) 8 ÷ 2 + 1

30.

Divide the numbers given below in the required ratio. 27 in the ratio 4 : 5

Generic 5

7 x 5 = 35

31.

Convert the following questions into tree diagrams:
(i) The number of people who visited a library in the last 5 months were 1210, 2100, 2550, 3160 and 3310. Draw the tree diagram of the total number of people who had used the library for the 5 months.
(ii) Ram had a bank deposit of Rs. 7,55,250 and he had withdrawn Rs. 5,34,500 for educational purpose. Find the amount left in his account. Draw a tree diagram for this.
(iii) In a cycle factory, 1,600 bicycles were manufactured on a day. Draw tree diagram to find the number of bicycles produced in 20 days.
(iv) A company with 30 employees decided to distribute Rs. 90,000 as a special bonus equally among its employees. Draw tree diagram to show how much will each receive?

32.

The lengths (in the nearest centimetre) of 30 drumsticks are given as follows.

Draw the bar graph showing the same information.

33.

A Music concert is taking place in a stadium. A total of 7,689 chairs are to be put in rows of 90.
(i) How many rows will there be?
(ii) Will there be any chairs left over?

34.

The following are the marks obtained by 30 students in a class test out of 20 in Mathematics subject.
11 12 13 12 12 15 16 17 18 12
20 13 13 14 14 14 15 15 15 15
16 16 16 15 14 13 12 11 19 17
Prepare a table using Tally Marks.

35.

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?

36.

The amount deposited by a Gold merchant in his bank account in the month of January is Rs 17,53,740 and in the month of February is Rs 15,34,300. Estimate the sum and difference of the amount deposited to the nearest thousand.

37.

Complete the following pattern.
9 − 1 =
98 − 21 =
987 − 32 =
9876 − 432 =
98765 − 54321 =
What comes next?

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

Multiple Choice Question

15 x 1 = 15

(b)
3:35 hours

(b)
165000

(b)
45°

(b)
y = 6

10.

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

11.

(a)
6

12.

13.

(a)
100 crore

14.

15.

(d)
10 : 7

Generic 2

5 x 2 = 10

16.

Given
One angle of an isoceles triangle is 70.
Two angles are same.
Therefore the possibilities for the other two angles are 70, 40 (or) 55, 55.

17.

C.P. = Rs. 25,52,500 + Rs. 2,28,350 = Rs. 27,80,850
S.P. = Rs. 30,52,000.
C.P. < S.P. \(\Rightarrow\) Profit = S.P. - C.P.= Rs. 30,52,000 - Rs. 27,80,850 = Rs. 2,71,150.

18.

i) LCM

Therefore LCM = \(2 \times 11 \times 7 \times 9 \times 13\) = 18018
ii) HCF

Therefore HCF = 2 \(\times\) 11 = 22

19.

Distance covered in 1 hr ie., 60 minutes = 6 km
Distance covered in 1 minutes = \(\frac { 6 }{ 10 } \)km
Distance covered in 20 minutes = \(\frac { 6 }{ 60 } \) \(\times\) 20 = 2 km
∴ Cholan cover 2 km in 20 minutes.

20.

567,456,345
Place value of 7 is 7 \(\times\) 1,000,000
= 7,000,000
= Seven Million.

Generic 3

10 x 3 = 30

21.

From the tree diagrams, algebraic expressions are
c / (a / b) and a / (b / c)
c / (a / b) \(\neq\) a / (b / c)
No, they are not equal.

22.

Number of Notebooks in stock	= 7,50,800
Number of Notebooks sold	= 6,25,610
Number of notebooks left unsold	= 1,25,190

23.

Given
Muthu has a car worth = Rs. 8,50,000
Profit = Rs. 25,000
s.p = c.p + profit
= 8,50,000 + 25,000
Therefore = Rs. 8,75,000

24.

C.P. = Rs. 3000; Profit = Rs. 500; Discount = Rs. 300
S.P. = M.P. - Discount = M.P. - Rs. 300
Profit = S.P. - C.P.
Rs. 500 = M.P. - Rs. 300 - Rs. 3000
M.P. = Rs. 500 + Rs. 300 + Rs. 3000 = Rs. 3800

25.

(i) 10 I and 50 ml into ml
1 l = 1000 ml
10 l = 10 \(\times\) 1000 = 10000 ml
Therefore 10 I and 50 ml
= 10000 ml + 50 ml
= 10050 ml
(ii) 4 km and 300 minto m
1000 m = 1 km
4 km = 4 (1000) = 4000 m
Therefore 4 km and 300 m
= 4000 m + 300 m
= 4300 m
(iii) 300 mg into g
1000 mg = 1g
Therefore 300 mg = 1/ 100 \(\times\) 300
= 3/ 100 = 0.3 g

26.

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

27.

(i) name a pair of complementary angles:
∠FAE;∠EAD
(ii) name a pair of supplementary angles:
∠FAD;∠DAC
∠BAC;∠CAE
∠FAB;∠BAC
∠FAB;∠FAE
∠EAD;∠DAB

28.

A, B, C, D, & E are five triangles.
No combination of these triangles taken 2 at a time, form any triangle.
Only the combinations of A, F & C; A, F & D; B, F & E; B, F & D and C, F & E form triangles when taken 3 triangles at a time.
Hence, the total number of triangles = 5 + 5 = 10.

29.

24 + 2 × 8 ÷ 2 − 1 (given question)
= 24 + 2 × 4 − 1 ( ÷ operation, completed first)
= 24 + 8 − 1 ( \(\times\) operation, completed second)
= 32 − 1 ( + operation, completed third)
= 31 (− operation , completed last)

30.

27 in the ratio 4: 5.
Dividing 27 into 4 + 5 = 9 equal parts, and
\(27\times\frac{4}{9}=12\)
\(27\times\frac{5}{9}=15\)
\(\therefore\) The numbers are 12, 15

Generic 5

7 x 5 = 35

31.

(i) Given
1^st month = 1210
2^nd month = 2100
3^rdmonth = 2550
4^th month = 3160
5^thmonth = 3310
Tree diagram

Total = 1210 + 2100 + 2550 + 3160 + 3310.
ii) Given
Ram had a bank deposit = Rs. 7,55,250
He had withdrawn = Rs. 5,34,500
Therefore the amount left in his amount
= Rs. 7,55,250 - Rs. 5,34,500
Tree diagram

iii) Given
No. of bicycles produced in 1 day = 1,600
No. of bicycles produced in 20 days
= 1600 \(\times\) 20
Tree Diagram

iv) Given
Total amount = Rs. 90,000
No. of employees = 30
= 90,000 / 30
Tree Diagram

32.

The bar graph showing the same information is given below:

33.

(i) Total chairs in a stadium = 7,689
Chairs in one row = 90
\(\frac{7689}{90}=85\ \frac{39}{90}\)
There will be 85 rows
(ii) Yes, There are 39 chairs left over.

34.

35.

(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.

36.

Rounding off to the nearest thousand is as follows.

	Actual Amount	Estimated Amount
Amount deposited in January	Rs. 17,53,740	Rs. 17,54,000
Amount deposited in February	Rs 15,34,400	Rs. 15,34,000
Total amount deposited	Rs 32,88,140	Rs. 32,88,000
Difference between the amounts deposited	Rs 2,19,340	Rs 2,20,000