6th Standard Maths First Term Chengalpattu District Summative Exam Question Paper 2024 with Answer Key | English Medium

6th Maths - Term 1 Exam 2024 - Original Question Paper & Answer Key

FIRST TERM SUMMATIVE EXAMINATION - 2024

Standard: VI | Subject: MATHEMATICS

Time: 2.00 hrs | Marks: 60

Part I - Objective Type Questions (Page 1)

I. Choose the Correct answer (5x1=5)

1. The successor of 10 million is

• a) 100001
• b) 10000001
• c) 9999999
• d) 100001

Answer: b) 10000001

2. The number of days in 'W' weeks is

• a) 30+W
• b) 30W
• c) 7+W
• d) 7W

Answer: d) 7W

3. 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

Answer: b) 3:4

4. A line is denoted as

Answer: c) AB (with arrows on both ends)

5. The representation of 'one picture to many objects' in a pictograph is called ______

• a) Tally mark
• b) Pictoword
• c) Scaling
• d) Frequency

Answer: c) Scaling

II. Fill in the blanks (5x1=5)

6. 48792 ___ 48972 [> or < or =]

Answer: <

7. 17 x ___ = 34 x 17

Answer: 34

8. If 'P-5' gives 12 then 'P' is ___

Answer: 17

9. Ratio of Rs.3 to Rs.5 = ___

Answer: 3:5

10. The collected information is called ___

Answer: Data

III. Say True or False (5x1=5)

11. 3 + 9 x 8 = 96

Answer: False (Correct: 3 + 72 = 75)

12. The product of 'q' and 20 is '20q'.

Answer: True

13. The ratio of 130c.m to 1m is 13:10.

Answer: True (1m = 100cm, so 130:100 = 13:10)

14. 5:7 is equivalent to 21:15.

Answer: False (21:15 simplifies to 7:5)

15. 88° and 12° are complementary.

Answer: False (Complementary angles sum to 90°. 88° + 12° = 100°)

IV. Match the following (5x1=5)

1. 10000 - 1   -   9999
2. 59/1   -   59
3. 4:5 = __ : 10   -   8
4. 90°   -   Right angle
5. ||||| ||||   -   9

Part V & VI - Short & Long Answers (Page 2)

V. Answer any six questions from the following (6x2=12)

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

Answer: The smallest 6-digit number is 100,000. To find the number of ten thousands, we divide: 100,000 / 10,000 = 10. There are 10 ten thousands.

22. Round off 4,065 to hundred place.

Answer: The digit in the tens place is 6, which is 5 or greater. So, we round up the hundreds digit. The rounded number is 4,100.

23. If 'u' is an even number, how would you represent (i) the next even number? (ii) The previous even number?

Answer:
(i) The next even number is u + 2.
(ii) The previous even number is u - 2.

24. The cost of parking a bicycle is Rs.5 and the cost of parking scooter is Rs.15. Find the simplest ratio of the parking cost of a bicycle to that of a scooter.

Answer: The ratio is 5:15. Dividing both by 5 gives the simplest ratio: 1:3.

25. Give two equivalent ratios for 3:2.

Answer: Two equivalent ratios are 6:4 (multiplied by 2) and 9:6 (multiplied by 3).

26. Find the complementary angle of 85°.

Answer: Complementary angle = 90° - 85° = 5°.

27. Give an example for Primary Data and Secondary data.

Answer:
Primary Data: Collecting the heights of students in your class yourself.
Secondary Data: Using weather information from a newspaper.

28. How many triangles are there in the given figures?

Answer: There are 5 triangles in the figure (3 small corner triangles, 1 large outer triangle, 1 inverted middle triangle).

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

Answer: Place 4, 5, 6 at the corners. Place 3 between 4 and 5. Place 1 between 5 and 6. Place 2 between 6 and 4. The sum on each side is 12.

VI. Answer any four questions from the following (4x5=20)

30. Rajan writes a 3-digit number, using the digits 4, 7 and 9. What are the possible numbers he can write?

Answer: The possible 3-digit numbers are 479, 497, 749, 794, 947, 974.

31. Use the properties of whole numbers and simplify 50 x 102.

Answer: Using the distributive property:
50 x 102 = 50 x (100 + 2)
= (50 x 100) + (50 x 2)
= 5000 + 100
= 5100

32. Complete the table and find the value of 'K' for which 'K'/3 gives 5.

Answer: From the table pattern, when K/3 = 5, the value of K is 15.

Part VI Continued (Page 3)

33. Kumaran has Rs.600 and wants to divide it between Vimala and Yazhini in the ratio 2:3. Who will get more and how much?

Answer:
Total ratio parts = 2 + 3 = 5.
Value of 1 part = 600 / 5 = Rs. 120.
Vimala's share (2 parts) = 2 x 120 = Rs. 240.
Yazhini's share (3 parts) = 3 x 120 = Rs. 360.
Yazhini will get more. Vimala gets Rs. 240 and Yazhini gets Rs. 360.

34. From the given figure, name the (i) intersecting lines (ii) Points of intersection

Answer:
(i) Intersecting lines: (L1, L2), (L1, L3), (L1, L5), (L1, L4), (L4, L5),etc.
(ii) Points of intersection: P, Q, R.

35. Thamarai is fond of reading books. The number of pages read by her on each day during the last 40 days are given below. Make a Tally Marks table.

Answer:

Pages Read	Tally Marks	Frequency
1	||||| ||	7
2	||||| |	6
3	|||||	5
4	|||	3
5	||||| ||||| ||	12
6	||||| ||	7

36. Put the numbers 1, 2, 3, 4, 5, 6 & 7 in the circles so that each straight line of three numbers add up to the same total.

Answer: Place 4 in the center circle. Place the pairs (1,7), (2,6), and (3,5) on the ends of the three lines. Each line will add up to a total of 12.

Part VII - Construction (Page 4)

VII. Answer any one of the following (1x8=8)

37. With the help of a ruler and compass draw a line segment PQ=5.5cm.

Steps for construction:

1. Draw a line 'l' on the paper.
2. Mark a point 'P' on the line 'l'.
3. Place the pointer of the compass at the '0' mark of the ruler.
4. Open the compass to a width of 5.5 cm.
5. Place the compass pointer at point 'P' and draw an arc that cuts the line 'l'.
6. Mark the point where the arc intersects the line as 'Q'.
7. The line segment PQ is the required segment of length 5.5 cm.

38. Draw and label the angle ∠NAS=90°.

Steps for construction (using a protractor):

1. Draw a ray AS. This will be one arm of the angle.
2. Place the center of the protractor on the vertex A.
3. Align the baseline of the protractor with the ray AS.
4. Find the 90° mark on the protractor's scale and mark a point, N.
5. Remove the protractor and draw a ray from vertex A through point N.
6. The resulting angle, ∠NAS, is the required 90° angle (a right angle).

6th Maths First Term Tirupattur District Summative Assessment Question Paper with Answers 2024-25 | Samacheer Kalvi

6th Maths First Term Summative Assessment Question Paper with Solutions 2024-25

FIRST TERM - SUMMATIVE ASSESSMENT (SA) - 2024 - 25

Class: 6

Subject: Mathematics

Max. Marks: 60

Time Allowed: 2.00 Hours

வினாத்தாள் பக்கம் - 1

வினாத்தாள் பக்கம் - 2

PART - I (Marks: 15)

I. Choose the correct Answer. (5x1=5)

1. 1 Billion is equal to _____.

1. 100 crore
2. 100 million
3. 100 lakh
4. 10,000 lakh

Answer: (a) 100 crore

2. The value of Y in Y + 7 = 13 is _____.

1. Y = 5
2. Y = 6
3. Y = 7
4. Y = 8

Answer: (b) Y = 6
Explanation: Y = 13 - 7 = 6.

3. The ratio of ₹1 to 20 paise is _____.

1. 1:5
2. 1:2
3. 2:1
4. 5:1

Answer: (d) 5:1
Explanation: ₹1 = 100 paise. The ratio is 100 paise : 20 paise. Dividing by 20, we get 5:1.

4. A line is denoted as _____.

1. AB
2. AB (ray)
3. AB (line)
4. AB (length of a line segment)

Answer: (c)

5. The tally marks represents the number count _____.

1. 5
2. 8
3. 9
4. 10

Answer: (c) 9
Explanation: The first group (|||| with a slash) represents 5. The second group (||||) represents 4. Total = 5 + 4 = 9.

II. Fill in the Blanks. (5x1=5)

6. If Arulmozhi saves ₹12 per day, then she saves _____ in 30 days.

Answer: ₹360 (12 x 30 = 360)

7. The algebraic statement of 'S' divided by 5 is _____.

Answer: S/5

8. 6 : _____ = 1 : 2.

Answer: 12 (6 / 12 = 1 / 2)

9. A line through two end points 'A' and 'B' is denoted by _____.

Answer:

10. The collected information is called _____.

Answer: Data

III. Match the following. (5x1=5)

Question	Correct Match
11. x is increased by 21	x + 21
12. x - 6	x is reduced by 6
13. 10 divided by m	10/m (Note: None of the options provided in the paper are correct)
14. Complementary angle of 30°	60° (90° - 30°)
15. Supplementary angle of 165°	15° (180° - 165°) (Note: The option 25° in the paper is incorrect)

IV. Say True or False (5x1=5)

16. Multiplication is distributive over addition for whole numbers.

Answer: True

17. The product of q and 20 is 20q.

Answer: True

18. 5:7 is equivalent to 21:15.

Answer: False (5:7 is equivalent to 15:21, not 21:15)

19. 20° and 70° are complementary.

Answer: True (20° + 70° = 90°)

20. The successor of a one digit number is always a one digit number.

Answer: False (The successor of 9 is 10)

PART - II (Marks: 20)

V. Answer any 10 of the following. (10x2=20)

21. The number of employees in the Indian Railways is about ten lakhs. Write this in the International System of Numeration.

Answer: Ten Lakhs = 10,00,000. In the International System, this is written as 1,000,000, which is One Million.

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

Answer: Descending order means arranging from largest to smallest. The correct order is: 128435, 25840, 21354, 10835, 6348.

23. Use the property of whole numbers and Simplify. 50 x 102.

Answer: Using the distributive property:
50 x 102 = 50 x (100 + 2)
= (50 x 100) + (50 x 2)
= 5000 + 100
= 5100

24. Arivazhagan is 30 years younger to his father. Write Arivazhagan's age in terms of his father's age.

Answer: Let the father's age be 'F'.
Arivazhagan's age (A) = F - 30.

25. Answer the following.
i) If 'g' is equal to 300 what is the value of g-1 and g + 1?
ii) What is the value of 'S', if 2s - 6 gives 30?

i) Answer:
g - 1 = 300 - 1 = 299
g + 1 = 300 + 1 = 301

ii) Answer:
2s - 6 = 30
2s = 30 + 6
2s = 36
s = 36 / 2
s = 18

26. Akilan walks 10 Km in an hour while Selvi walks 6 Km in an hour. Find the simplest ratio of the distance covered by Akilan to that of Selvi.

Answer:
Ratio of Akilan's distance to Selvi's distance = 10 : 6
To simplify, divide both numbers by their greatest common divisor, which is 2.
10 ÷ 2 : 6 ÷ 2 = 5 : 3

27. Give two equivalent ratios of 5:4.

Answer: To find equivalent ratios, multiply both parts of the ratio by the same number.
1. Multiply by 2: (5 x 2) : (4 x 2) = 10 : 8
2. Multiply by 3: (5 x 3) : (4 x 3) = 15 : 12

28. How many line segments are there in the given line? Name them. (Points: P, A, B, C, Q)

Answer: There are 10 line segments. They are:
PA, PB, PC, PQ, AB, AC, AQ, BC, BQ, CQ.

29. Write the types of Data.

Answer: The two main types of data are:
1. Primary Data: Information collected directly from the source (first-hand).
2. Secondary Data: Information collected from already existing sources.

30. Thamarai is fond of reading books. The number of pages read by her on each day, during the last 40 days are given below. Make a Tally Marks table.

Answer: (Based on the 40 data points provided)

31. How many Triangles are there in the given figure?

Answer: Based on the standard interpretation of the figure, there are 24 triangles.

32. If a person reads 20 pages of a book in 2 hours. How many pages will be read in 8 hours at the same speed?

Answer:
Pages read per hour = 20 pages / 2 hours = 10 pages/hour.
In 8 hours, pages read = 10 pages/hour × 8 hours = 80 pages.

PART - III (Marks: 15)

VI. Answer any Three of the following questions. (3x5=15)

33. Simplify: 20 + [8 x 2 + {(6x3) - (10+5)}]

Answer:
= 20 + [8 x 2 + {18 - 15}]
= 20 + [8 x 2 + 3]
= 20 + [16 + 3]
= 20 + 19
= 39

34. In a cycle factory 1560 bicycles were manufactured every day. Find the number of bicycles manufactured in 25 days?

Answer:
Bicycles per day = 1560
Number of days = 25
Total bicycles = 1560 × 25
= 39,000 bicycles.

35. Kumaran has ₹. 600 and wants to divide it between Vimala and Yazhini in the ratio 2:3. Who will get more and how much?

Answer:
Total ratio parts = 2 + 3 = 5
Value of one part = ₹600 / 5 = ₹120
Vimala's share (2 parts) = 2 × ₹120 = ₹240
Yazhini's share (3 parts) = 3 × ₹120 = ₹360
Yazhini will get more, and she will get ₹360.

36. The Fruits liked by the students of a class are as follows. Draw a Bar graph for this data.

Fruits	Bananas	Grapes	Apples	Mangoes	Guavas	Papayas	Other Fruits
No. of Students	8	10	8	7	12	3	2

Answer:

PART - IV (Marks: 5)

VII. Answer any One of the following. (1x5=5)

37. a) With the help of ruler and Compass draw a line segment PQ = 5.5 cm.

Steps for Construction:

1. Draw a line 'l' and mark a point P on it.
2. Place the compass pointer on the 0 mark of the ruler.
3. Open the compass to a width of 5.5 cm.
4. Place the compass pointer on point P and draw an arc that cuts the line 'l'.
5. Mark the point where the arc intersects the line as Q.
6. The line segment PQ is the required segment of length 5.5 cm.

(OR)

b) From the given figure, Name the
i) Parallel lines
ii) Intersecting lines

Answer: Assuming the top and bottom horizontal lines are parallel:

i) Parallel lines: The two lines that do not meet are parallel. In the figure, line CD, Line EF and Line IJ are parallel Lines (written as CD || EF || IJ) and .

ii) Intersecting lines: Lines that cross each other at a point. Examples from the figure include:

• Line CD intersects line AB.
• Line EF intersects line AB.
• Line GH intersects line AB.
• Line IJ intersects line AB.
• Line GH intersects line IJ.
• Line EF intersects line GH. (Note if you extent the lines then they would intersect each other.)

6th Standard Maths Virudhunagar District Summative Assessment Question Paper with Solutions - September 2024

6th Maths - Term 1 Exam 2024 - Original Question Paper with Solutions

Standard: 6 Subject: Maths Assessment: Summative Assessment - September 2024 Marks: 60 Time: 2.00 Hrs

I. Choose the best answer: 5 x 1 = 5

The value of 3+5-7×1 is ______.

• a) 5
• b) 7
• c) 8
• d) 1

Answer: d) 1
Explanation: Using BODMAS, multiplication first: 7×1 = 7. Then 3+5-7 = 8-7 = 1.

Variable means that it ______.

• a) can take only a few values
• b) has a fixed value
• c) can take different values
• d) can take only 8 values

Answer: c) can take different values

If 7:5 is in proportion to x:25, then 'x' is ______.

• a) 27
• b) 49
• c) 35
• d) 14

Answer: c) 35
Explanation: 7/5 = x/25. So, x = (7 × 25) / 5 = 7 × 5 = 35.

A line is denoted as ______.

• a) AB
• b) AB
• c) A↔B
• d) AB→

Answer: c) A↔B (A line extends infinitely in both directions)

A pictograph is also known as ______.

• a) Pictoword
• b) Pictogram
• c) Pictophrase
• d) Pictograft

Answer: b) Pictogram

II. Fill in the blanks: 5 x 1 = 5

Multiplication by ______ leaves a number unchanged.

Answer: 1

If 'P-5' gives 12 then 'P' is ______.

Answer: 17 (Since P = 12 + 5)

Ratio of 75 paise to ₹ 2 = ______.

Answer: 3:8 (75 paise : 200 paise)

A ray has ______ end points.

Answer: one

The collected information is called ______.

Answer: Data

III. Say True / False: 5 x 1 = 5

Successor of a one digit number is always a one digit number.

False (Successor of 9 is 10, which is a two-digit number).

If the cost of 10 rice bags is 't', then the cost of 1 rice bag is ^t⁄₁₀.

True

If the weight of 40 books is 8 kg, then the weight of 15 books is 3 kg.

True (Weight of 1 book = 8/40 = 0.2 kg. Weight of 15 books = 15 × 0.2 = 3 kg).

88° and 12° are complementary.

False (They sum to 100°. Complementary angles sum to 90°).

The spaces between any two bars in a bar graph are the same.

True

IV. Match it: 5 x 1 = 5

Question	Given Answer Options	Correct Match
16) The whole number that does not have a predecessor is	5:4	0
17) The value of 'y' in y+7 = 13 is	9	6
18) Simplify the ratio 25:20	60°	5:4
19) Find the complementary angle of 30° is	6	60°
20) The tally marks 卌 |||| represents the number count	0	9

V. Answer any SIX questions: 6 x 2 = 12

How many thousands are there in 1 million?

1 Million = 10,00,000
1 Thousand = 1,000
Number of thousands = 10,00,000 / 1,000 = 1000.
There are 1000 thousands in 1 million.

Cheran had a bank savings of ₹ 7,50,250. He withdrew ₹ 5,34,500 for educational purpose. Find the balance amount in his account.

Initial Savings = ₹ 7,50,250
Amount Withdrawn = ₹ 5,34,500
Balance Amount = 7,50,250 - 5,34,500 = ₹ 2,15,750.
The balance amount is ₹ 2,15,750.

Name the property being illustrated in each of the cases given below:
i) 75+34 = 34+75
ii) 50×1 = 50

i) Commutative property of addition.
ii) Multiplicative identity.

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

Given 'u' is an even number.
(i) The next even number is u + 2.
(ii) The previous even number is u - 2.

Converting Algebraic statements to verbal statements:
(i) x+6
(ii) 2p-5

(i) x+6: "6 added to x" or "The sum of x and 6".
(ii) 2p-5: "5 subtracted from twice p" or "5 less than 2 times p".

What is the ratio of 40 minutes to 1 hour?

1 hour = 60 minutes.
Ratio = 40 minutes : 60 minutes
Simplifying by dividing by 20: 2:3.

By proportionality law, check whether 3:2 and 30:20 are in proportion.

For a:b and c:d to be in proportion, the product of extremes (ad) must equal the product of means (bc).
Here, a=3, b=2, c=30, d=20.
Product of extremes = a × d = 3 × 20 = 60.
Product of means = b × c = 2 × 30 = 60.
Since 60 = 60, they are in proportion.

Find the supplementary angle of 35°.

Supplementary angles add up to 180°.
Supplementary angle of 35° = 180° - 35° = 145°.

VI. Answer any SIX questions: 6 x 3 = 18

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

(i) The first figure (2x2 grid with diagonals) has 16 triangles.
(ii) The second figure (triangle with 3 levels) has 13 triangles.

If ₹ 10,00,000 was distributed in a Government scheme to 500 women in the self help groups, then find the amount given to each woman.

Total Amount = ₹ 10,00,000
Number of women = 500
Amount per woman = Total Amount / Number of women
= 10,00,000 / 500 = 10,000 / 5 = 2,000.
Each woman received ₹ 2,000.

Simplify: 100+8÷2+{(3×2)-6}÷2

Using BODMAS/BIDMAS rule:
1. Innermost Brackets: (3 × 2) = 6
2. Braces: {6 - 6} = 0
3. Division: 8 ÷ 2 = 4 and 0 ÷ 2 = 0
4. Addition: 100 + 4 + 0 = 104.

Athiyan and Mugilan are brothers. Athiyan is 'p' years old and Mugilan is elder to Athiyan by 6 years. Write an algebraic statement for this and find the age of Mugilan if Athiyan is 20 years old.

Athiyan's age = p
Mugilan is 6 years elder, so Mugilan's age = p + 6 (This is the algebraic statement).
If Athiyan's age p = 20, then Mugilan's age = 20 + 6 = 26 years old.

Complete the table and find the value of 'K' for which K/3 gives 5.

To find K when K/3 = 5, we calculate K = 3 × 5 = 15.
The completed table is:

K	3	6	9	12	15	18
K/3	1	2	3	4	5	6

Out of 50 students in a class, 30 are boys. Find the ratio of
i) number of boys to the number of girls.
ii) number of girls to the total number of students.
iii) number of boys to the total number of students.

Total students = 50
Number of boys = 30
Number of girls = 50 - 30 = 20
i) Ratio of boys to girls = 30 : 20 = 3 : 2
ii) Ratio of girls to total students = 20 : 50 = 2 : 5
iii) Ratio of boys to total students = 30 : 50 = 3 : 5

A heater uses 3 units of electricity in 40 minutes. How many units does it consume in 2 hours?

2 hours = 2 × 60 = 120 minutes.
In 40 minutes, it uses 3 units.
In 120 minutes, it uses (120 / 40) × 3 units = 3 × 3 = 9 units.

From the given figure, name the (i) parallel lines (ii) intersecting lines (iii) points of intersection

Based on the visual representation:
(i) Parallel lines: Lines CD, EF and IJ.
(ii) Intersecting lines: Line AB intersects lines CD, EF, GH, and IJ..
(iii) Points of intersection: P, Q, R

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.
1 4 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

Number	Tally Marks	Frequency
1	|||	3
2	||	2
3	||	2
4	卌 |	6
5	卌 ||||	9
6	卌 |||	8

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

This Solution to the Problem.

VII. Answer the following questions: 2 x 5 = 10

Construct a line segment using ruler and compass
AB = 7.5 cm (OR) QR = 10 cm

Steps to construct AB = 7.5 cm:
1. Draw a line and mark a point 'A' on it.
2. Place the metal tip of the compass on the '0' mark of the ruler.
3. Extend the pencil tip of the compass to the 7.5 cm mark.
4. Without changing the compass width, place the metal tip on 'A' and draw a small arc to cut the line.
5. Mark the point of intersection as 'B'.
6. AB is the required line segment of length 7.5 cm.
(The steps for QR = 10 cm are identical, just using points Q, R and length 10 cm).

Draw and label each of the angles.
∠NAS = 90° (OR) ∠BIG = 35°

Steps to draw ∠NAS = 90°:
1. Draw a ray AS.
2. Place the center of the protractor on the vertex A and the baseline along the ray AS.
3. Mark a point 'N' at the 90° mark on the protractor.
4. Remove the protractor and draw a ray AN from the vertex A passing through the point N.
5. ∠NAS is the required right angle of 90°.

Steps to draw ∠BIG = 35°:
1. Draw a ray IG.
2. Place the center of the protractor on the vertex I and the baseline along the ray IG.
3. Mark a point 'B' at the 35° mark on the protractor (using the inner scale).
4. Remove the protractor and draw a ray IB from the vertex I passing through the point B.
5. ∠BIG is the required acute angle of 35°.

6th Maths - Term 1 Exam 2024 - Original Question Paper with Solutions | Chennai District

6th Maths - Term 1 Exam 2024-25 | Solved Paper

This post contains the complete solutions for the First Term Summative Assessment (SA) 2024-25 for Class 6 Mathematics, held in the Chennai district. Students can use this to verify their answers and understand the problem-solving methods for each question.

PART - I

I. Choose the correct Answer. (5 x 1 = 5)

1. The value of 24 ÷ {8 - (3 x 2)} is _______

Calculation: 24 ÷ {8 - 6} = 24 ÷ 2 = 12

a) 0    b) 12    c) 3    d) 4

Answer: b) 12

2. The value of 'y' in y + 7 = 13 is _______

Calculation: y = 13 - 7 = 6

a) y = 5    b) y = 6    c) y = 7    d) y = 8

Answer: b) y = 6

3. If 2 : 3 = 4 : x, Then the value of x is _______

Calculation: \(\frac{2}{3} = \frac{4}{x} \implies 2x = 4 \times 3 \implies 2x = 12 \implies x = 6\)

a) 6    b) 2    c) 4    d) 3

Answer: a) 6

4. An angle between more than 180° to less than 360° is called _______

a) Acute angle    b) Obtuse angle    c) Straight angle    d) Reflex angle

Answer: d) Reflex angle

5. The representation of 'One picture to many objects' in a pictograph is called _______

a) Tally mark    b) Pictoword    c) Scaling    d) Frequency

Answer: c) Scaling

II. Fill in the blanks (5 x 1 = 5)

6. The nearest thousand (1000) of 756 is _______

Answer: 1000 (Since 756 is greater than 500, we round up)

7. If A's age is 'n' years now, 7 years ago A's age was _______

Answer: n - 7

8. Ratio of 3m to 200 cm = _______

First, convert to the same unit: 3 m = 300 cm.
The ratio is 300 cm : 200 cm.
Simplifying by dividing by 100 gives 3 : 2.

Answer: 3 : 2

9. A ray has _______ end point(s).

Answer: one

10. Representation of data by using pictures is known as _______

Answer: Pictograph

III. Say True or False: (5 x 1 = 5)

11. 139 is rounded off as 100 to the nearest 100.

Answer: True (Since 39 is less than 50, we round down)

12. 10 more to three times 'C' is '10C + 3'.

Answer: False (The correct expression is 3C + 10)

13. One of the terms in a ratio cannot be 1.

Answer: False (For example, the ratio 5:1 is a valid ratio)

14. 0° and 180° are supplementary.

Answer: True (Supplementary angles add up to 180°. 0° + 180° = 180°)

15. The collected information is called Data.

Answer: True

IV. Match the following. (5 x 1 = 5)

Question	Column A	Column B
16.	(53+49) x 0	0
17.	If 2m = 10 then value of m	5
18.	Value of 12 : 12 in fraction	1
19.	No. of. end points in the line segment	2
20.	Tally mark |||| represents the No.	4

Correct Matches:

• 16. (53+49) x 0 → 0
• 17. If 2m = 10 then value of m → 5
• 18. Value of 12 : 12 in fraction (12/12) → 1
• 19. No. of end points in the line segment → 2
• 20. Tally mark |||| represents the No. → 4

PART - II

IV. Answer any 10 of the following. Q.No.34 is compulsory. (10 x 2 = 20)

21. Of the numbers 1386787215, 137698890, 86720560, Which one is the largest? Which one is the smallest.

• The number with the most digits is the largest. 1386787215 has 10 digits.
• The number with the fewest digits is the smallest. 86720560 has 8 digits.

Largest: 1386787215
Smallest: 86720560

22. Simplify: 24 ÷ 2 x 8 + 2 - 1.

Using BODMAS/PEMDAS rule (Division and Multiplication have same priority, so we go from left to right):

24 ÷ 2 x 8 + 2 - 1
= 12 x 8 + 2 - 1
= 96 + 2 - 1
= 98 - 1
= 97

23. Estimate by rounding off each number to the nearest hundred. 8074 + 4178.

• 8074 rounded to the nearest hundred is 8100 (since 74 > 50).
• 4178 rounded to the nearest hundred is 4200 (since 78 > 50).

Estimated Sum = 8100 + 4200 = 12300

24. What is the value of 'S', if '2S-6' gives 30?

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

25. A piece of wire is '12S' cm long. What will be the length of the side of an Equilateral Triangle formed from it.

Perimeter of the equilateral triangle = Length of the wire = 12S cm.
An equilateral triangle has 3 equal sides.
Length of one side = Perimeter / 3 = 12S / 3 = 4S cm.

26. Find the ratio of 500g to 250g.

Ratio = 500 : 250
Divide both sides by the greatest common divisor, which is 250.
(500/250) : (250/250) = 2 : 1
Answer: 2 : 1

27. Give two equivalent ratios for 3 : 2.

To find equivalent ratios, multiply both terms by the same non-zero number.

• Multiply by 2: (3 x 2) : (2 x 2) = 6 : 4
• Multiply by 3: (3 x 3) : (2 x 3) = 9 : 6

28. Find the number of line segments in the given figure and represent its name also.

The figure shows three collinear points A, B, C.

The line segments are:

1. AB
2. BC
3. AC

Total number of line segments = 3.

29. Find the Complementary angle of i) 30° ii) 85°

Complementary angles add up to 90°.

• i) Complement of 30° = 90° - 30° = 60°
• ii) Complement of 85° = 90° - 85° = 5°

30. Draw any 3 lines to have a point of concurrency.

To show a point of concurrency, draw three or more straight lines that all intersect at a single common point. This point is called the point of concurrency.

31. Write the types of Data.

The two main types of data are:

1. Primary Data: Information collected directly by the investigator for a specific purpose.
2. Secondary Data: Information that has already been collected by someone else and is available from other sources.

32. 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.

Shorts = {Black, Blue}, Shirts = {White, Blue, Red}

Combinations with Black Shorts:
1. Black Shorts + White Shirt
2. Black Shorts + Blue Shirt
3. Black Shorts + Red Shirt

Combinations with Blue Shorts (shirt must be a different color):
4. Blue Shorts + White Shirt
5. Blue Shorts + Red Shirt
(Cannot pair Blue Shorts with Blue Shirt)

Total possible combinations = 3 + 2 = 5.

33. Name the Vertex and Sides of the angles.

From the given angle ∠EDF:

• Vertex: The common point where the two rays meet is D.
• Sides: The two rays that form the angle are Ray ED and Ray DF.

34. (Compulsory) How many triangles are there in the given figures?

The figure shows a large triangle with its interior divided by connecting the midpoints of its sides. This creates 4 smaller triangles inside and 1 large outer triangle.

1. The top small triangle.
2. The bottom-left small triangle.
3. The bottom-right small triangle.
4. The central inverted small triangle.
5. The large outer triangle itself.

Total number of triangles = 5.

PART - III

V. Answer any five of the following questions. (5 x 3 = 15)

35. Tamilnadu has about twenty six thousand three hundred forty five square kilometre of forest land. Write the number mentioned in the statement in Indian System.

Twenty six thousand = 26,000
Three hundred forty five = 345
The number is 26,000 + 345 = 26345.
In the Indian System, this is written as 26,345.

36. In a Cycle factory, 1560 bicycles were manufactured everyday. Find the number of bicycles manufactured in 25 days.

Bicycles manufactured per day = 1560
Number of days = 25
Total bicycles manufactured = 1560 x 25
= 1560 x (100 / 4) = 156000 / 4 = 39000
Answer: 39,000 bicycles.

37. Name the property being illustrated in each of the cases given below.
i) 75 + 34 = 34 + 75
ii) 5 + 0 = 5
iii) 50 x 1 = 50

• i) Commutative property of addition (The order of numbers can be changed without affecting the sum).
• ii) Additive Identity (Adding zero to a number does not change the number).
• iii) Multiplicative Identity (Multiplying a number by one does not change the number).

38. If g is equal to 300 what is the value of g - 1 and 'g+1'?

Given g = 300

• g - 1 = 300 - 1 = 299
• g + 1 = 300 + 1 = 301

39. A piece of wire is '12S' cm long. What will be the length of the side, If it is formed as
i) An equilateral Triangle
ii) A Square

Total length of wire (Perimeter) = 12S cm

• i) Equilateral Triangle: It has 3 equal sides.
  Length of one side = Perimeter / 3 = 12S / 3 = 4S cm.
• ii) A Square: It has 4 equal sides.
  Length of one side = Perimeter / 4 = 12S / 4 = 3S cm.

40. If a person reads 20 pages of a book in 2 hours, How many pages will be read in 8 hours at the same speed?

Method 1: Unitary Method
Pages read in 2 hours = 20
Pages read in 1 hour = 20 / 2 = 10 pages.
Pages read in 8 hours = 10 x 8 = 80 pages.

Method 2: Ratio and Proportion
Let x be the number of pages read in 8 hours.
20 pages : 2 hours = x pages : 8 hours
\(\frac{20}{2} = \frac{x}{8} \implies 10 = \frac{x}{8} \implies x = 10 \times 8 = 80\)
Answer: 80 pages.

41. From the given figure, Name the
i) Parallel lines
ii) Intersecting lines
iii) Point of intersection

Based on the provided diagram:

• i) Parallel lines: Lines that do not intersect. The pairs are (l1, l2) and (EF, GH).
• ii) Intersecting lines: Lines that cross each other. The pairs are (AB, CD), (l1, l3), (l2, l3), etc.
• iii) Point of intersection: The point where lines cross. For example, point I is the intersection of AB and CD. Point P is the intersection of l1 and l3.

42. Name the following angle names
i) 0°   ii) 89°   iii) 245°   iv) 90°   v) 180°   vi) 135°

• i) 0° → Zero Angle
• ii) 89° → Acute Angle (less than 90°)
• iii) 245° → Reflex Angle (between 180° and 360°)
• iv) 90° → Right Angle
• v) 180° → Straight Angle
• vi) 135° → Obtuse Angle (between 90° and 180°)

PART - IV

VI. Answer any One of the following. (1 x 5 = 5)

43. a) With the help of Ruler and Compass, Draw a line segment AB = 7.5 cm.

Steps to construct AB = 7.5 cm:
1. Draw a line and mark a point 'A' on it.
2. Place the metal tip of the compass on the '0' mark of the ruler.
3. Extend the pencil tip of the compass to the 7.5 cm mark.
4. Without changing the compass width, place the metal tip on 'A' and draw a small arc to cut the line.
5. Mark the point of intersection as 'B'.
6. AB is the required line segment of length 7.5 cm.

43. (OR) b) Use a protractor to draw an angle 90°.

Steps of Construction:

1. Draw a ray and name it OA. This will be one side of the angle.
2. Place the center point of the protractor on the vertex O.
3. Align the baseline of the protractor with the ray OA.
4. Find the 90° mark on the protractor's scale and mark a small dot. Name this point B.
5. Remove the protractor.
6. With a ruler, draw a ray from the vertex O through the point B.
7. The resulting angle, ∠AOB, is the required 90° angle.