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TN PUBLIC EXAM
QUESTION
PAPER
2024
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No. of Printed Pages : 11
7303
!7303Mathematics! £vÄ Gs
Register Number
Pou® / MATHEMATICS
( uªÌ ©ØÖ® B[Q» ÁÈ / Tamil & English Version )
Põ» AÍÄ : 2.00 ©o ÷|µ® ] [ ö©õzu ©v¨ö£sPÒ : 100
Time Allowed : 2.00 Hours ] [ Maximum Marks : 100
AÔÄøµPÒ : (1) AøÚzx ÂÚõUPЮ \›¯õP¨ £vÁõQ EÒÍuõ GߣuøÚa
\›£õºzxU öPõÒÍÄ®. Aa_¨£vÂÀ SøÓ°¸¨¤ß, AøÓU
PsPõo¨£õÍ›h® EhÚi¯õPz öu›ÂUPÄ®.
(2) }»® AÀ»x P¸¨¦ ø©°øÚ ©mk÷© GÊxÁuØS®
AiU÷PõikÁuØS® £¯ß£kzu ÷Ásk®. £h[PÒ ÁøµÁuØS
ö£ß]À £¯ß£kzuÄ®.
Instructions : (1) Check the question paper for fairness of printing. If there is any lack of fairness,
inform the Hall Supervisor immediately.
(2) Use Blue or Black ink to write and underline and pencil to draw diagrams.
£Sv & I / PART - I
öPõkUP¨£mkÒÍ ©õØÖ ÂøhPÎÀ ªPÄ® Hئøh¯ Âøhø¯z
÷uº¢öukzxU SÔ±mkhß Âøh°øÚ²® ÷\ºzx GÊuÄ®. 15x1=15
Choose the most appropriate answer from the given four alternatives and write the option
code along with the corresponding answer.
1. (−2) −3 ×(−2) −2 =__________ .
−1 1
(A) (B) (C) 32 (D) −32
32 32
(−2) −3 ×(−2) −2 =__________.
−1 1
(a) (b) (c) 32 (d) −32
32 32
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7303 2
10 x
2. = 109 GÛÀ x BÚx __________.
−3
10
(A) 4 (B) 5 (C) 6 (D) 7
10 x
If = 109 then, x is __________.
−3
10
(a) 4 (b) 5 (c) 6 (d) 7
3. 242 Ehß __________ IU TmiÚõÀ 252 I ö£Ó»õ®.
(A) 42 (B) 52 (C) 62 (D) 72
__________ is added to 242 to get 252.
(a) 42 (b) 52 (c) 62 (d) 72
4. x3+y3 Cß J¸ Põµo __________ BS®.
(A) x−y (B) x+y (C) (x+y)3 (D) (x−y)3
One factor of x3+y3 is __________.
(a) x−y (b) x+y (c) (x+y)3 (d) (x−y)3
5. 9x2+6xy Cß PõµoPÒ __________ BS®.
(A) 3y, (x+2) (B) 3x, (3x+3y) (C) 6x, (3x+2y) (D) 3x, (3x+2y)
Factors of 9x2+6xy are :
(a) 3y, (x+2) (b) 3x, (3x+3y) (c) 6x, (3x+2y) (d) 3x, (3x+2y)
6. x2−5x+6 Cß PõµoPÒ (x−2) (x−p) GÛÀ, p Cß ©v¨¦ __________ BS®.
(A) −3 (B) 3 (C) 2 (D) −2
If the factors of x2−5x+6 are (x−2) (x−p) then, the value of p is __________.
(a) −3 (b) 3 (c) 2 (d) −2
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7. J¸ £Ç ¯õ£õ› ` 200 US £Ç[PøÍ ÂØÖ ` 40 I C»õ£©õP¨ ö£ÖQÓõº.
AÁ›ß C»õ£ \uÃu® __________ BS®.
2
(A) 20 (B) 22 (C) 25 (D) 16
3
A fruit vendor sells fruits for ` 200 gaining ` 40. His gain percentage is __________.
2
(a) 20 (b) 22 (c) 25 (d) 16
3
8. 16% uÒУi°À ` 210 US Áõ[P¨£mh J¸ öuõ¨¤°ß SÔzu Âø» GßÚ ?
(A) ` 243 (B) ` 176 (C) ` 230 (D) ` 250
What is the marked price of a hat which is bought for ` 210 at 16% discount ?
(a) ` 243 (b) ` 176 (c) ` 230 (d) ` 250
9. Cµsk öuõhº uÒУiPÍõÚ 20% ©ØÖ® 25% BQ¯ÁØÔØUS {PµõÚ J÷µ
uÒУi \uÃu® __________ BS®.
(A) 40 (B) 45 (C) 5 (D) 22.5
The single discount in % which is equivalent to two successive discount of 20%
and 25% is __________.
(a) 40 (b) 45 (c) 5 (d) 22.5
10. 12 ö\.« ©ØÖ® 16 ö\.« £UP AÍÄPøÍU öPõsh J¸ ö\[÷Põn •U÷Põnzvß
Pºn® __________ BS®.
(A) 28 ö\.« (B) 20 ö\.« (C) 24 ö\.« (D) 21 ö\.«
The hypotenuse of a right angled triangle of sides 12 cm and 16 cm is __________.
(a) 28 cm (b) 20 cm (c) 24 cm (d) 21 cm
11. }Í® 21 ö\.« ©ØÖ® ‰ø»Âmh® 29 ö\.« AÍÄøh¯ J¸ ö\ÆÁPzvß
£µ¨£ÍÄ __________.
(A) 609 ö\.«2 (B) 580 ö\.«2 (C) 420 ö\.«2 (D) 210 ö\.«2
The area of a rectangle of length 21 cm and diagonal 29 cm is __________.
(a) 609 cm2 (b) 580 cm2 (c) 420 cm2 (d) 210 cm2
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12. Cµsk GsPÎß «¨ö£¸ ö£õxU Põµo __________ GÛÀ, AøÁ \õº £Põ
GsPÒ GÚ¨£k®.
(A) 2 (B) 3 (C) 0 (D) 1
Two numbers are said to be co-prime numbers if their HCF is __________.
(a) 2 (b) 3 (c) 0 (d) 1
13. 36, 60 ©ØÖ® 72 Cß ö£õx £Põ PõµoPÒ __________ BS®.
(A) 2×2 (B) 2×3 (C) 3×3 (D) 3×2×2
Common prime factors of 36, 60 and 72 are __________.
(a) 2×2 (b) 2×3 (c) 3×3 (d) 3×2×2
14. £vöÚmhõÁx ©ØÖ® £v÷ÚÇõÁx ¤£÷Úõ] GsPÐUQøh°»õÚ Âzv¯õ\®
__________ BS®.
(A) 233 (B) 377 (C) 610 ( D) 987
The difference between the 18th and 17th Fibonacci number is __________.
(a) 233 (b) 377 (c) 610 (d) 987
15. ¤£÷Úõ] Gs öuõh›À JÆöÁõ¸ __________ EÖ¨¦® 8&Cß ©h[S BS®.
(A) 2 BÁx (B) 4 BÁx (C) 6 BÁx (D) 8 BÁx
Every __________ number of the Fibonacci sequence is a multiple of 8.
(a) 2nd (b) 4th (c) 6th (d) 8th
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5 7303
£Sv & II/PART - II
ö£õ¸zxP. 5x1=5
Match the following.
1
16. \xµzvß £µ¨£ÍÄ - × d1 × d2
2
1
Area of square - × d1 × d2
2
17. (a+b)2 - (a+b) (a−b)
(a+b)2 - (a+b) (a−b)
18. (a−b)2 - a2
(a−b)2 - a2
19. a2−b2 - a2−2ab+b2
a2−b2 - a2−2ab+b2
20. \õ´ \xµzvß £µ¨£ÍÄ - a2+2ab+b2
Area of rhombus - a2+2ab+b2
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7303 6
£Sv & III/PART - III
GøÁ÷¯Ý® 10 ÂÚõUPÐUS Âøh¯ÎUPÄ®. 10x2=20
Answer any ten of the following :
21. ©v¨¦ PõsP : 4−3
Find the value of 4−3.
22. 27,000- Cß PÚ‰»zøu PõsP.
Find the cube root of 27,000.
23. 17- Cß ÁºUP® PõsP.
Find the square of 17.
4
_¸USP : (−3)4 ×
5
24.
3
4
4 5
Simplify (−3) ×
3
3
©v¨¦ PõsP :
1
25.
2
3
1
Evaluate
2
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26. 7.5 ö\.« Bµ•ÒÍ J¸ ì¤ßÚµõÚx BÖ \© AÍÄÒÍ ÁmhU÷Põn¨
£SvPÍõP¨ ¤›UP¨ £mkÒÍx GÛÀ, JÆöÁõ¸ ÁmhU÷Põn¨ £Sv°ß
£µ¨£ÍøÁ²® PõsP.
A spinner of radius 7.5 cm is divided into 6 equal sectors. Find the area of each of
the sectors.
27. Põµo¨ £kzxP : x2+8x+15.
Factorise x2+8x+15.
28. (98)3 -ß ©v¨ø£ PõsP.
Find the value of (98)3.
29. ›ÁõUSP : (x+3) (x+5) (x+2).
Expand (x+3) (x+5) (x+2).
30. wºUP : 2x+5=9.
Solve 2x+5=9.
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31. 400 &ß 30% ©v¨¤ß 25% GßÚ ?
What is 25% of 30% of 400 ?
32. ¤uõPµì ÷uØÓzøu GÊxP.
State Pythagoras Theorem.
33. \xµzvß H÷uÝ® Cµsk £s¦PøÍ GÊxP.
Write any two properties of square.
34. öuõhº ÁSzuÀ •øÓ°À «¨ö£¸ ö£õxU Põµoø¯U PõsP.
455 ©ØÖ® 26.
Using repeated division method, find the H.C.F.
455 and 26.
£Sv & IV/PART - IV
GøÁ÷¯Ý® 8 ÂÚõUPÐUS Âøh¯ÎUPÄ®. 8x5=40
Answer any eight of the following :
35. }Ò ÁSzuÀ •øÓ°À ÁºUP ‰»zøuU PõsP.
11025
Find the square root by long division method.
11025
36. 24×36×80×25 &Cß PÚ‰»® PõsP.
Find the cube root of
24×36×80×25
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−6 8 −12
37. TmhÄ® : , ,
11 11 11
−6 8 −12
Add , ,
11 11 11
38. (−7)x+2×(−7)5=(−7)10 GÛÀ x IU PõsP.
Find x, so that
(−7)x+2×(−7)5=(−7)10
39. ÁmhU ÷Põn¨£Sv°ß £µ¨£ÍÄ PõsP. Ámh ÂÀ¼ß }Í®=48 «, r=10 «.
Find the area of the sector. Length of arc=48 m, r=10 m.
40. (2x+5y) ©ØÖ® (3x−4y) I¨ ö£¸USP.
Multiply : (2x+5y) and (3x−4y)
41. Põµo¨ £kzxP : 7c2+2c−5.
Factorise : 7c2+2c−5.
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42. Cµsk GsPÎß TkuÀ 36. ÷©¾® AÁØÖÒ Kº Gs ©Ø÷Óõº Gsøn Âh
8 AvP® GÛÀ, A¢u GsPøÍU PõsP.
The sum of two numbers is 36 and one number exceeds another by 8. Find the
numbers.
43. Kº Gsoß ©v¨ø£ 25% SøÓzuõÀ 120 QøhUQÓx GÛÀ, A¢u GsønU
PõsP.
When a number is decreased by 25% it becomes 120. Find the number.
44. A ©ØÖ® B BQ¯ C¸Á¸® Cøn¢x J¸ ÷Áø»ø¯ 16 |õmPÎÀ •i¨£º.
A uÛ÷¯ A¢u ÷Áø»ø¯ 48 |õmPÎÀ •i¨£õº GÛÀ, B uÛ÷¯ A¢u
÷Áø»ø¯ GzuøÚ |õmPÎÀ •i¨£õº ?
A and B together can do a piece of work in 16 days and A alone can do it in
48 days. How long will B take to complete the work ?
45. Kº C¸ \©£UP •U÷PõnzvÀ \©£UP[PÒ JÆöÁõßÖ® 13 ö\.« ©ØÖ®
Ai¨£UP® 24 ö\.« GÛÀ Auß E¯µzøuU PõsP.
An isosceles triangle has equal sides each 13 cm and a base 24 cm in length.
Find its height.
46. öuõhº PÈzuÀ •øÓ°À «¨ö£¸ ö£õxUPõµoø¯U PõsP.
280 ©ØÖ® 420.
Using repeated subtraction method find the H.C.F. 280 and 420.
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£Sv & V/PART - V
¤ßÁ¸® ÂÚõUPÐUS Âøh¯ÎUPÄ®. 2x10=20
Answer the following questions.
47. (A) NI=4.5 ö\.«, IC=4.3 ö\.«, NE=3.5 ö\.«, NC=5.5 ö\.« ©ØÖ® IE=5 ö\.«
BQ¯ AÍÄPøÍU öPõsh NICE GßÓ |õØPµ® Áøµ¢x Auß £µ¨£ÍøÁU
PõsP.
AÀ»x
(B) NS=9 ö\.« ©ØÖ® ET=8 ö\.« AÍÄPÒ öPõsh NEST GßÓ \õ´\xµ®
Áøµ¢x Auß £µ¨£ÍøÁU PõsP.
(a) Construct a quadrilateral NICE with NI=4.5 cm, IC=4.3 cm, NE=3.5 cm,
NC=5.5 cm, IE=5 cm. Find its area.
OR
(b) Construct a rhombus NEST with NS=9 cm and ET=8 cm. Also find its area.
48. (A) y=7x GßÓ \©ß£õmiØS Áøµ£h® ÁøµP.
AÀ»x
(B) y=6 GßÓ \©ß£õmiØS Áøµ£h® ÁøµP.
(a) Draw the graph of y=7x.
OR
(b) Draw the graph of y=6.
-o0o-
[ v¸¨¦P / Turn over
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