TN 8th Question Paper 2022 Maths

TN ESLC Question Paper 2022 Maths
No. of Printed Pages : 11
6203
!6203Mathematics! £vÄ Gs
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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 and the corresponding answer.

8 −6
1. QøhUP __________ GßÓ Gsøn &C¼¸¢x PÈUP ÷Ásk®.
9 11

34 −142 142 −34
(A) (B) (C) (D)
99 99 99 99

−6 8
The number which is subtracted from to get is __________.
11 9

34 −142 142 −34
(a) (b) (c) (d)
99 99 99 99

6203 2

3 5  −7 
2. + +  &Cß vmh ÁiÁ® __________ BS®.
4 6  12 

−1 1 1
(A) 1 (B) (C) (D)
2 12 22

3 5  −7 
The standard form of the sum + +  is __________.
4 6  12 

−1 1 1
(a) 1 (b) (c) (d)
2 12 22

3. ÂQu•Ö GsPÐUS __________ GßÓ GsnõÀ AøhÄ £s£õÚx ÁSzu¾US
Esø©¯õPõx.
1
(A) 1 (B) −1 (C) 0 (D)
2
Closure property is not true for division of rational numbers because of the number :

1
(a) 1 (b) −1 (c) 0 (d)
2

2
4. 7P3 ©ØÖ® (2P2) &ß ö£¸UPØ£»ß __________.
(A) 14P12 (B) 28P7 (C) 9P7 (D) 11P12
2
The product of 7P3 and (2P2) is __________.
(a) 14P 12 (b) 28P 7 (c) 9P 7 (d) 11P 12

5. x2−y2=16 ©ØÖ® (x+y)=8 GÛÀ (x−y) Gߣx :

(A) 8 (B) 3 (C) 2 (D) 1
If x2−y2=16 and (x+y)=8 then (x−y) is __________.
(a) 8 (b) 3 (c) 2 (d) 1

6. 9x2+6xy &ß PõµoPÒ __________.

(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)

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7. 250 ¼mh›ß 12% Gߣx 150 ¼mh›ß __________ US \©©õS®.
(A) 10% (B) 15% (C) 20% (D) 30%
12% of 250 litres is the same as __________ of 150 litres.
(a) 10% (b) 15% (c) 20% (d) 30%

8. J¸ £Ç ¯õ£õ› ` 200 &US £Ç[PøÍ ÂØÖ ` 40 &I C»õ£©õP¨ ö£ÖQÓõº.
AÁ›ß C»õ£ \uÃu® __________.
2
(A) 20% (B) 22% (C) 25% (D) 16 %
3
A fruit vendor sells fruits for ` 200 and gains ` 40. His gain percentage is :

2
(a) 20% (b) 22% (c) 25% (d) 16 %
3

9. C¸ ÁiöÁõzu •U÷Põn[PÒ G¨÷£õx® __________ ö£ØÔ¸US®.
(A) SÖ[÷Põn[Pøͨ (B) ›÷Põn[Pøͨ
(C) ö\[÷Põn[Pøͨ (D) ö£õ¸zu©õÚ ÷Põn[Pøͨ
Two similar triangles will always have __________.
(a) acute angles (b) obtuse angles
(c) right angles (d) matching angles

10. 12 ö\.«. ©ØÖ® 16 ö\.«. £UP AÍÄ öPõsh 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, 16 cm is __________.
(a) 28 cm (b) 20 cm (c) 24 cm (d) 21 cm

11. uµÄ Gߣx _________ Cß öuõS¨¦.
(A) GsPÒ (B) GÊzxPÒ
(C) AÍÄPÒ (D) CøÁ AøÚzx®
Data is a collection of _________.
(a) numbers (b) words
(c) measurements (d) all the above

6203 4

12. öPõkUP¨£mh ÂÁµ[PÎÀ ªP¨ö£›¯ ©ØÖ® ªPa]Ô¯ AÍÄPÎß
Âzv¯õ\® :
(A) Ãa_ (B) {PÌöÁs
(C) ©õÔ (D) \µõ\›
The difference between the largest value and the smallest value of the given data is :

(a) range (b) frequency

(c) variable (d) average

13. £ÒÎPÐUQøh°»õÚ ÂÚõi&ÂÚõ ÷£õmiUS £Ò롧 \õº£õP J¸Áøµ
÷uº¢öukUP 26 ©õnÁºPÒ ©ØÖ® 15 ©õnÂPÐUS B]›¯º £°Ø] AÎUQÓõº.
GÛÀ CÁºPμ¸¢x J¸Áøµ B]›¯º ÷uº¢öukUP GzuøÚ Âu©õÚ
Áõ´¨¦PÒ EÒÍx ?
(A) 41 (B) 26 (C) 15 (D) 390
In a class there are 26 boys and 15 girls. The teacher wants to select a boy or a girl.
To represent a quiz competition, in how many ways can teacher make this selection ?

(a) 41 (b) 26 (c) 15 (d) 390

14. ‰ßÖ |õn¯[PøÍ J÷µ \©¯zvÀ _sk® ÷£õx GzuøÚ Âu©õÚ ÂøÍÄPÒ
QøhUS® ?
(A) 6 (B) 8 (C) 3 (D) 2
How many outcomes can you get when you toss three coins at a time ?

(a) 6 (b) 8 (c) 3 (d) 2

15. £v÷ÚõÓõÁx ¤£÷Úõ] Gs GßÚ ?
(A) 55 (B) 77 (C) 89 (D) 144
What is the eleventh Fibonacci number ?

(a) 55 (b) 77 (c) 89 (d) 144

5 6203

£Sv - II / PART - II

ö£õ¸zxP : 5x1=5
Match the following :

θ
16. Ámhzvß £µ¨£ÍÄ - × πr 2
360

θ
Area of a circle - × πr 2
360

17. Ámhzvß _ØÓÍÄ - (π+2)r
Circumference of a circle - (π+2)r

θ
18. Ámh ÷Põn¨£Sv°ß £µ¨£ÍÄ -
360
× 2 πr

θ
Area of the sector - × 2 πr
360

19. AøµÁmhzvß _ØÓÍÄ - 2πr
Perimeter of the semi circle - 2πr

20. ÁmhU ÷Põn¨£Sv°ß ÂÀ¼ß }Í® - πr2
Length of the arc - πr2

£Sv & III / PART - III
GøÁ÷¯Ý® 10 ÂÚõUPÐUS Âøh¯ÎUPÄ®. 10x2=20
Answer any ten of the following :

13
21. u\© ÁiÁ® PõsP :
4

13
Write the decimal form of
4

6203 6

−6 8 −12
22. TmhÄ® : 11 , 11 , 11

−6 8 −12
Add : , ,
11 11 11

−12 9
23.
17
&C¼¸¢x 17
&IU PÈUPÄ®.

9 −12
Subtract : from
17 17

24. 108 &BÚx J¸ •Ê ÁºUP Gs BS©õ ?

Is 108 - a perfect square number ?

25. 2x2y2, 3y2z ©ØÖ® −z2x3 &ö£¸USP.

Find the product of 2x2y2, 3y2z and −z2x3.

26. ÁSUP : 27y3 ÷ 3y

Divide 27y3 by 3y.

27. (3a+4c)2&ß ©v¨ø£ (a+b)2 GßÓ •ØöÓõ¸ø©ø¯¨ £¯ß£kzvU PõsP.

Find the value of (3a+4c)2 by using (a+b)2 identity.

7 6203

28. 600 &ß x% Gߣx 450 GÛÀ, x &ß ©v¨ø£U PõsP.

It x% of 600 is 450, then find the value of x.

29. Tmk Ámi PõsP.
A\À=` 4000, Bsk Ámi Ãu® r=5%, n=2 BskPÒ. BskUS J¸ •øÓ
Ámi PnUQh¨£kQÓx.
Find the C.I for data given below :

principal=` 4000, r=5% p.a, n=2 years. Interest compounded annually.

30. J¸ ö\[÷Põn •U÷Põn©õÚx 5 ö\.«., 12 ö\.«., 13 ö\.«. BQ¯ AÍÄPøÍU
öPõsh £UP[Pøͨ ö£ØÔ¸UP •i²©õ ?
Can a right angled triangle have sides that measure 5 cm, 12 cm and 13 cm ?

31. (i) (3, −4),

(ii) (5, 7) C¨¦ÒÎPÒ Aø©²® PõÀ£SvPøÍU PõsP.

Find the quadrants in which the following points lie on ?

(i) (3, −4)

(ii) (5, 7)

32. x &ß ©v¨ø£U PõsP.

Find the value of x.

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33. x, y &ß ©v¨¦ PõsP.

Find the value of x and y.

34. Ãa_ PõsP.
60, 15, 20, 25, 30, 35, 10
Find the range.
60, 15, 20, 25, 30, 35, 10

£Sv & IV / PART - IV
GøÁ÷¯Ý® 8 ÂÚõUPÐUS Âøh¯ÎUPÄ®. 8x5=40

Answer any eight of the following :

−5 −4 7
35. TmhÄ® : 9
, ,
3 12

−5 −4 7
Add : , ,
9 3 12

−2 3
36. C¸ ÂQu•Ö GsPÎß ö£¸UPØ£»ß 3 BS®. Kº Gs GÛÀ ©Ø÷Óõº
7
GsønU PõsP.
−2 3
The product of two rational numbers is . If one number is then, find the other.
3 7

37. }Ò ÁSzuÀ •øÓ°À 1764 &ß ÁºUP ‰»® PõsP.
Find the square root of 1764 by long division method.

9 6203

38. (35÷38)5×3−5 AkUS SÔ±miÀ GÊxP.

Simplify and write the answer in exponential form (35÷38)5×3−5.

39. ¤ßÁ¸® £hzvÀ {Ǽmh £Sv°ß £µ¨£ÍÄ PõsP.

Find the area of the shaded part.

40. (32y2−8yz) &I 2y &BÀ ÁSUPÄ®.

Divide (32y2−8yz) by 2y

41. 9982 &ß ©v¨ø£ (a−b)2 GßÓ •ØöÓõ¸ø©ø¯¨ £¯ß£kzvU PõsP.

Find the value of 9982 by using (a−b)2 identity.

42. ›ÁõUSP : (x+3) (x+5) (x+2)

Expand : (x+3) (x+5) (x+2)

43. x2+8x+15 &I Põµo¨£kzxP.

Factorise : x 2 +8x+15

6203 10

44. 48 BsPÒ J¸ ÷Áø»ø¯ |õöÍõßÖUS 7 ©o ÷|µ® ÷Áø» ö\´x 24 |õmPÎÀ
•i¨£º GÛÀ, 28 BsPÒ A÷u ÷Áø»ø¯ |õöÍõßÖUS 8 ©o ÷|µ® ÷Áø»
ö\´x GzuøÚ |õmPÎÀ •i¨£º ?
If 48 men working 7 hours a day can complete a work in 24 days, then in how many days
will 28 men working 8 hours a day can complete the same work ?

45. C¨£hzvÀ x, y ©ØÖ® z &ß ©v¨¦PøÍU PõsP.
Find the value of x, y and z.

46. 25 Sk®£[PξÒÍ SÇ¢øuPÎß GsoUøP R÷Ç öPõkUP¨£mkÒÍx. CuØS
öuõSUP¨£hõu {PÌöÁs £µÁÀ ‰»® AmhÁønø¯ u¯õº ö\´P.
1, 3, 0, 2, 5, 2, 3, 4, 1, 0, 5, 4, 3, 1, 3, 2, 5, 2, 1, 1, 2, 6, 2, 1, 4.
Represent the following data in ungrouped frequency table which gives the number of children
in 25 families.
1, 3, 0, 2, 5, 2, 3, 4, 1, 0, 5, 4, 3, 1, 3, 2, 5, 2, 1, 1, 2, 6, 2, 1, 4.

£Sv - V / PART - V
¤ßÁ¸® ÂÚõUPÐUS Âøh¯ÎUPÄ®. 2x10=20
Answer the following questions.

47. (A) DE=6 ö\.«., EA=5 ö\.«., AR=5.5 ö\.«., RD=5.2 ö\.«., ©ØÖ® DA=10 ö\.«.
BQ¯ AÍÄPøÍU öPõsh DEAR GßÓ |õØPµ® Áøµ¢x £µ¨£ÍøÁU
PõsP.
AÀ»x
(B) AIMS, AI ᎂᎂ SM , AI=6 ö\.«., IM=5 ö\.«., AM=9 ö\.«., MS=6.5 ö\.«.
AÍÄPøÍ Eøh¯ \›ÁP® Áøµ¢x £µ¨£ÍøÁU PõsP.
(a) Construct a quadrilateral DEAR with DE=6 cm, EA=5 cm, AR=5.5 cm, RD=5.2 cm
and DA=10 cm and find its area.
OR
(b) Construct a trapezium AIMS with AI ᎂᎂ SM , AI=6 cm, IM=5 cm, AM=9 cm and
MS=6.5 cm and find its area.

11 6203

48. (A) A(−2, 6), B(4, −3) BQ¯ ¦ÒÎPøÍ Cønzx ÷|º÷Põk ÁøµP.
AÀ»x
(B) y=5x GßÓ \©ß£õmiØS Áøµ£h® ÁøµP.
(a) Draw a straight line by joining the points A(−2, 6) and B(4, −3).
OR
(b) Draw a graph of y=5x.

-oOo-