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![Naval Public School, Chirawa
Maths Assessment (संकलित परीक्षा)
Class 10th
July 19 of session 2019-20
Maximum Marks: 50 Time: 1 Hrs.
General Instruction:
1. All questions are compulsory except section D.
2. The Paper consists of 21 questions divided into 4 sections A, B, C, and D.
3. Sec A comprises of 5 questions of 1 mark each. Sec B comprise of 2 marks each. Sec
C comprises of 5 questions of 3 each and Sec C comprises of questions 5 of 5 marks
each.
[Section A]
1. Find Next term of A.P {0,-3,-6,-9,…}.
2. Find the common difference of A.P. {6,9,12,15,…}.
3. Write the value of tan²60° .
4. If cosec 𝜃=
2
√3
, the find value of 𝜃.
5. Write the general equation of nth term of any A.P.
[Section B]
6. If 𝐬𝐢𝐧 𝜽 =
𝟑
𝟓
, then find 𝐜𝐨𝐬 𝜃 and 𝐜𝐬𝐜 𝜃.
7. Find the value of
𝐭𝐚𝐧𝟔𝟎°
𝐜𝐨𝐭𝟑𝟎°
8. If 𝜃 = 45° then find the value of
𝟏−𝐜𝐨𝐬𝟐𝜃
𝒔𝒊𝒏𝟐𝜃
9. If 18, a, b, -3 are in A.P. then find a+b.
10. If a=-1 , d=
𝟏
𝟐
then find first four term of A.P.
[Section C] Attend any five
11. Find 10th term of A.P. 2,7,12,…
12. Find 18th term of A.P. √ 𝟐, 𝟑√ 𝟐, 𝟒√ 𝟐, 𝟓√ 𝟐,…
13. The first and last term of A.P. is 1 and 11. If sum of its term is 36
then number of terms will be.
14. Find the value of 𝐬𝐢𝐧 𝟔𝟎°𝐜𝐨𝐬 𝟑𝟎° + 𝐬𝐢𝐧 𝟑𝟎° 𝐜𝐨𝐬 𝟔𝟎°.
15. Prove that (𝐬𝐢𝐧 𝟒𝟓° + 𝐜𝐨𝐬 𝟒𝟓°) 𝟐=2.
[Section D]
16. If A,B & C are interior angles of a ∆ABC, then prove that
𝐭𝐚𝐧(
𝑩 + 𝑪
𝟐
) = 𝐜𝐨𝐭
𝑨
𝟐
)
17. Prove that
𝟏−𝐭𝐚𝐧 𝟐 𝑨
𝐜𝐨𝐭 𝟐 𝑨−𝟏
= 𝐭𝐚𝐧 𝟐
𝑨
18. Prove that 𝟐(𝐜𝐨𝐬 𝟐 𝟒𝟓° + 𝐭𝐚𝐧 𝟐 𝟔𝟎°)− 𝟔( 𝐬𝐢𝐧 𝟐 𝟒𝟓° − 𝐭𝐚𝐧 𝟐 𝟑𝟎°) = 𝟔
19. How many three digit numbers are divisible by 7?
20. If 3rd and 9th term of A.P. is 4 and -8 respectively, then which term of
its will be zero?
21. A ladder has rungs 25 cm apart. Length of lower rungs is 45cm and it
goes decrease as goes to high and the last rugs length is 25cm.if top and
bottom rungs are 2.5m apart, what is the length of the wood required for the
rungs?
Best of Luck
“Maths is your friend if you meet with him every day; he becomes your best friend. If you leave for a time he forgets you
and you forget him.” Srinivasa Ramanujan](https://image.slidesharecdn.com/navalpublicschoolclass10mathsassessmentjuly20-190715181859/75/class-10-maths-paper-1-2048.jpg)
![Naval Public School, Chirawa
Maths Assessment (संकलित परीक्षा)
Class 10th
July 19 of session 2019-20
Maximum Marks: 50 Time: 1 Hrs.
General Instruction:
1. All questions are compulsory except section D.
2. The Paper consists of 21 questions divided into 4 sections A, B, C, and D.
3. Sec A comprises of 5 questions of 1 mark each. Sec B comprise of 2 marks each. Sec
C comprises of 5 questions of 3 each and Sec C comprises of questions 5 of 5 marks
each.
[Section A]
1. Find Next term of A.P {0,-3,-6,-9,…}.
2. Find the common difference of A.P. {6,9,12,15,…}.
3. Write the value of tan²60° .
4. If cosec 𝜃=
2
√3
, the find value of 𝜃.
5. Write the general equation of nth term of any A.P.
[Section B]
6. If 𝐬𝐢𝐧 𝜽 =
𝟑
𝟓
, then find 𝐜𝐨𝐬 𝜃 and 𝐜𝐬𝐜 𝜃.
7. Find the value of
𝐭𝐚𝐧𝟔𝟎°
𝐜𝐨𝐭𝟑𝟎°
8. If 𝜃 = 45° then find the value of
𝟏−𝐜𝐨𝐬𝟐𝜃
𝒔𝒊𝒏𝟐𝜃
9. If 18, a, b, -3 are in A.P. then find a+b.
10. If a=-1 , d=
𝟏
𝟐
then find first four term of A.P.
[Section C] Attend any five
11. Find 10th term of A.P. 2,7,12,…
12. Find 18th term of A.P. √ 𝟐, 𝟑√ 𝟐, 𝟒√ 𝟐, 𝟓√ 𝟐,…
13. The first and last term of A.P. is 1 and 11. If sum of its term is 36
then number of terms will be.
14. Find the value of 𝐬𝐢𝐧 𝟔𝟎°𝐜𝐨𝐬 𝟑𝟎° + 𝐬𝐢𝐧 𝟑𝟎° 𝐜𝐨𝐬 𝟔𝟎°.
15. Prove that (𝐬𝐢𝐧 𝟒𝟓° + 𝐜𝐨𝐬 𝟒𝟓°) 𝟐=2.
[Section D]
16. If A,B & C are interior angles of a ∆ABC, then prove that
𝐭𝐚𝐧(
𝑩 + 𝑪
𝟐
) = 𝐜𝐨𝐭
𝑨
𝟐
)
17. Prove that
𝟏−𝐭𝐚𝐧 𝟐 𝑨
𝐜𝐨𝐭 𝟐 𝑨−𝟏
= 𝐭𝐚𝐧 𝟐
𝑨
18. Prove that 𝟐(𝐜𝐨𝐬 𝟐 𝟒𝟓° + 𝐭𝐚𝐧 𝟐 𝟔𝟎°)− 𝟔( 𝐬𝐢𝐧 𝟐 𝟒𝟓° − 𝐭𝐚𝐧 𝟐 𝟑𝟎°) = 𝟔
19. How many three digit numbers are divisible by 7?
20. If 3rd and 9th term of A.P. is 4 and -8 respectively, then which term of
its will be zero?
21. A ladder has rungs 25 cm apart. Length of lower rungs is 45cm and it
goes decrease as goes to high and the last rugs length is 25cm.if top and
bottom rungs are 2.5m apart, what is the length of the wood required for the
rungs?
Best of Luck
“Maths is your friend if you meet with him every day; he becomes your best friend. If you leave for a time he forgets you
and you forget him.” Srinivasa Ramanujan](https://crownmelresort.com/image.slidesharecdn.com/navalpublicschoolclass10mathsassessmentjuly20-190715181859/75/class-10-maths-paper-1-2048.jpg)
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class 10 maths paper
- 1. Naval Public School,Chirawa Maths Assessment (संकलित परीक्षा) Class 10th July 19 of session 2019-20 Maximum Marks: 50 Time: 1 Hrs. General Instruction: 1. All questions are compulsory except section D. 2. The Paper consists of 21 questions divided into 4 sections A, B, C, and D. 3. Sec A comprises of 5 questions of 1 mark each. Sec B comprise of 2 marks each. Sec C comprises of 5 questions of 3 each and Sec C comprises of questions 5 of 5 marks each. [Section A] 1. Find Next term of A.P {0,-3,-6,-9,…}. 2. Find the common difference of A.P. {6,9,12,15,…}. 3. Write the value of tan²60° . 4. If cosec 𝜃= 2 √3 , the find value of 𝜃. 5. Write the general equation of nth term of any A.P. [Section B] 6. If 𝐬𝐢𝐧 𝜽 = 𝟑 𝟓 , then find 𝐜𝐨𝐬 𝜃 and 𝐜𝐬𝐜 𝜃. 7. Find the value of 𝐭𝐚𝐧𝟔𝟎° 𝐜𝐨𝐭𝟑𝟎° 8. If 𝜃 = 45° then find the value of 𝟏−𝐜𝐨𝐬𝟐𝜃 𝒔𝒊𝒏𝟐𝜃 9. If 18, a, b, -3 are in A.P. then find a+b. 10. If a=-1 , d= 𝟏 𝟐 then find first four term of A.P. [Section C] Attend any five 11. Find 10th term of A.P. 2,7,12,… 12. Find 18th term of A.P. √ 𝟐, 𝟑√ 𝟐, 𝟒√ 𝟐, 𝟓√ 𝟐,… 13. The first and last term of A.P. is 1 and 11. If sum of its term is 36 then number of terms will be. 14. Find the value of 𝐬𝐢𝐧 𝟔𝟎°𝐜𝐨𝐬 𝟑𝟎° + 𝐬𝐢𝐧 𝟑𝟎° 𝐜𝐨𝐬 𝟔𝟎°. 15. Prove that (𝐬𝐢𝐧 𝟒𝟓° + 𝐜𝐨𝐬 𝟒𝟓°) 𝟐=2. [Section D] 16. If A,B & C are interior angles of a ∆ABC, then prove that 𝐭𝐚𝐧( 𝑩 + 𝑪 𝟐 ) = 𝐜𝐨𝐭 𝑨 𝟐 ) 17. Prove that 𝟏−𝐭𝐚𝐧 𝟐 𝑨 𝐜𝐨𝐭 𝟐 𝑨−𝟏 = 𝐭𝐚𝐧 𝟐 𝑨 18. Prove that 𝟐(𝐜𝐨𝐬 𝟐 𝟒𝟓° + 𝐭𝐚𝐧 𝟐 𝟔𝟎°)− 𝟔( 𝐬𝐢𝐧 𝟐 𝟒𝟓° − 𝐭𝐚𝐧 𝟐 𝟑𝟎°) = 𝟔 19. How many three digit numbers are divisible by 7? 20. If 3rd and 9th term of A.P. is 4 and -8 respectively, then which term of its will be zero? 21. A ladder has rungs 25 cm apart. Length of lower rungs is 45cm and it goes decrease as goes to high and the last rugs length is 25cm.if top and bottom rungs are 2.5m apart, what is the length of the wood required for the rungs? Best of Luck “Maths is your friend if you meet with him every day; he becomes your best friend. If you leave for a time he forgets you and you forget him.” Srinivasa Ramanujan