6th Standard Maths First Term Exam Question Paper 2024 with Answer Key | Ranipet District

6th Maths First Term Exam Question Paper & Answer Key 2024

FIRST TERM SUMMATIVE EXAMINATION - 2024

Standard: VI | Subject: MATHEMATICS

Time: 2.00 hrs | Marks: 60

I. Choose the Correct answer (5 x 1 = 5)

1. \( \frac{59}{1} \) is

• a) 1
• b) 0
• c) \( \frac{1}{59} \)
• d) 59

Answer: d) 59

Explanation: Any number divided by 1 is the number itself.

2. If y + 7 = 13, then the value of y is

• a) y=5
• b) y=6
• c) y=7
• d) y=8

Answer: b) y=6

Explanation: y = 13 - 7 = 6.

3. An equivalent ratio of 4 : 7 is

• a) 1:3
• b) 8:15
• c) 14:8
• d) 12:21

Answer: d) 12:21

Explanation: To find an equivalent ratio, multiply both parts of the ratio by the same number. Here, 4 x 3 = 12 and 7 x 3 = 21.

4. Which of the following represent a line segment?

Answer: d) AB with endpoints

Explanation: A line segment has two definite endpoints.

5. The tally marks represent the number count

• a) 5
• b) 8
• c) 9
• d) 10

Answer: c) 9

Explanation: The first group (||||) represents 5, and the second group (||||) represents 4. Total count is 5 + 4 = 9.

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

6. The place value of 5 in 7005380 is __________.

Answer: 5000 (Thousands)

7. If 7 x 46 = 322 then 46 x 7 = __________.

Answer: 322

8. 3 : 5 = 9 : __________.

Answer: 15 (Since 3 x 3 = 9, we must have 5 x 3 = 15)

9. A ray has __________ end points.

Answer: one

10. The collected information is called __________.

Answer: data

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

11. 3 + 9 x 8 = 96

Answer: False (3 + 72 = 75, not 96)

12. 0 is the identity for multiplication of whole numbers.

Answer: False (1 is the multiplicative identity)

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

Answer: True

14. If 40 is divided in the ratio 3:2, then the larger part is 24.

Answer: True (Total parts = 5. Value of one part = 40/5 = 8. Larger part = 3 x 8 = 24)

15. 90° is the right angle.

Answer: True

IV. Match the following (6 x 1 = 6)

Question	Answer
16. The successor of 4576	4577
17. (53+49) x 0	0
18. Twice P	2P
19. 4 weeks	28 days
20. Pictograph	pictogram

V. Answer any 10 questions (10 x 2 = 20)

21. Simplify: (10+17)+3

Solution: (10 + 17) + 3 = 27 + 3 = 30

22. How many thousands are there in 1 lakh?

Solution: 1 lakh = 1,00,000. So, 1,00,000 / 1000 = 100. There are 100 thousands in 1 lakh.

23. Write the number name of the numeral 345,678 in the Indian System.

Solution: Three lakh forty-five thousand six hundred seventy-eight.

24. Complete the following Pattern.

9 - 1 = ?

98 - 21 = ?

987 - 321 = ?

9876 - 4321 = ?

98765 - 54321 = ?

Solution:

9 - 1 = 8

98 - 21 = 77

987 - 321 = 666

9876 - 4321 = 5555

98765 - 54321 = 44444

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

Solution: 2S - 6 = 30 => 2S = 30 + 6 => 2S = 36 => S = 36 / 2 = 18.

26. Find the simplified form of the ratio 20 : 5.

Solution: Dividing both sides by 5, we get 4 : 1.

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

Solution: Product of extremes = 3 x 20 = 60. Product of means = 2 x 30 = 60. Since the products are equal, the ratios are in proportion.

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

Solution: Ratio = 10 : 6. Simplified form (dividing by 2) = 5 : 3.

29. Find the complementary angle of 85°.

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

30. What is the tally marks for the number 8?

Solution: |||| |||

31. How many triangles are there in the figure?

Solution: There are 4 small triangles and 1 large outer triangle. Total = 5 triangles.

32. Fill up the circle with the numbers from 1 to 6 without repetition so that each side of the magic triangle adds sum of 12.

Solution:

• The vertices (corners) of the triangle should be 4, 5, 6.
• The numbers on the sides between the vertices are:
• Between 4 and 5, place 3. (4+3+5=12)
• Between 5 and 6, place 1. (5+1+6=12)
• Between 6 and 4, place 2. (6+2+4=12)

33. Find the value of x in the given figure.

Solution: The angles x° and 25° form a linear pair on a straight line. Therefore, their sum is 180°.
x + 25 = 180 => x = 180 - 25 = 155°.

VI. Answer any 5 questions (5 x 3 = 15)

34. Write the following numbers in the descending order: 128435, 10835, 21354, 6348, 25840

Solution: 128435, 25840, 21354, 10835, 6348

35. Simplify: 24 + 2 x 8 ÷ 2 - 1

Solution: Using BODMAS/PEMDAS rule:
24 + 2 x (8 ÷ 2) - 1
= 24 + 2 x 4 - 1
= 24 + 8 - 1
= 32 - 1 = 31.

36. 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.

Algebraic statement: Mugilan's age = P + 6.

Solution: If Athiyan's age (P) = 20, then Mugilan's age = 20 + 6 = 26 years.

37. 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?

Solution:

• Total ratio parts = 2 + 3 = 5.
• Value of 1 part = Rs. 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 by Rs. 360 - Rs. 240 = Rs. 120.

38. Two complementary angles are in ratio 7 : 2. Find the angles.

Solution:

• Total ratio parts = 7 + 2 = 9.
• Sum of complementary angles = 90°.
• Value of 1 part = 90° / 9 = 10°.
• First angle (7 parts) = 7 x 10° = 70°.
• Second angle (2 parts) = 2 x 10° = 20°.

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

Data: 1 3 5 6 6 3 5 4 1 6 2 5 3 4 1 6 6 5 5 1 1 2 3 2 5 2 4 1 6 2 5 5 6 5 5 3 5 2 5 1

Solution: Tally Marks Table

Pages Read	Tally Marks	Frequency
1	|||| ||	7
2	|||| |	6
3	||||	5
4	|||	3
5	|||| |||| ||	12
6	|||| ||	7
Total		40

40. Put the numbers from 1 to 7 in the circles so that each straight line of three numbers add up to the same total.

Solution:

• The number in the center circle is 4.
• The sum of each line is 12.
• The three lines are:
• 1 + 4 + 7 = 12
• 2 + 4 + 6 = 12
• 3 + 4 + 5 = 12

VII. Answer any one question (1 x 5 = 5)

41. a) Use a protractor to draw an angle 90°.

Steps:

1. Draw a ray AB.
2. Place the center of the protractor on point A and align the base line with the ray AB.
3. Mark a point C at the 90° mark on the protractor.
4. Remove the protractor and draw a ray from A passing through C.
5. The angle ∠CAB is the required 90° angle.

(OR)

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

Steps:

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.

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).