Karnataka 8th Model Question Paper Maths

SAMPLE PAPER

Karnataka
Board
Model Paper

PÀ£ÁðlPÀ ±Á¯Á ¥ÀjÃPÉë 1ªÀÄvÀÄÛ ªÀiË®å¤tðAiÀÄ ªÀÄAqÀ°
PÉJ¸ïPÀÄåJJ¹, ªÀįÉèñÀégÀA, ¨ÉAUÀ¼ÀÆgÀÄ-560003.
KARNATAKA SCHOOL EXAMINATION AND ASSESSMENT BOARD
KSQAAC, Malleshwaram, Bengaluru-560003.
ªÀi˯ÁåAPÀ£À - ªÀiÁzÀj ¥Àæ±ÉÆßÃvÀÛgÀ ¥ÀwæPÉ
Assessment - Model Question Paper
Marks : 50
Class : 8 Subject : Mathematics
Time : 2 Hours 30 Min
Information to be filled by the Student
Name of the Student : _____________________________________________________________

Student SATS No : Signature
of the Student :________________

Information to be filled by the Room Invigilator
School DISE Code :

School Name :____________________________________________________________________

Cluster :__________________ Block :______________________ District :__________________
School Type : Govt. Aided Un-aided
(Put “” mark for applicable information)
Signature of the Room Invigilator : ______________________
Information to be filled by the Evaluator at the time of evaluation
Question Obtained Question Obtained Question Obtained
Number marks Number marks Number marks
1 11 21
2 12 22
3 13 23
4 14 24
5 15 25
6 16 26
7 17 27
8 18 28
9 19 29
10 20 30
- - 31
Total marks Total marks Total marks
Grand Total

Total marks obtained (in words) :____________________________________________________
Signature of the Evaluator : _______________________

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I. Four alternatives are given for each of the following questions / incomplete statements.
Choose the appropriate one and write along with the alphabets.
16 x 1 = 16

1. The rational number that does not have a reciprocal is

3
A. -1 B. 0 C. D. 1
5

Answer: ____________________

2. The operation that is not closed for rational numbers is

A. Addition B. Subtraction

C. Multiplication D. Division

Answer: ____________________

3. Unit digit of the square of 169 is

A. 1 B. 3 C. 6 D. 9

Answer: ____________________

4. A linear equation in one variable among the following is

A. x2 + 2x = 8 B. x + x3 = -6

5 7 2 5 x 5
C. x+ = D. + =
3 5 7 x 3 7

Answer: ____________________

3
5. One of the like term of 7xy is
2
A. - xy B. 7 + x + y
3

C. -7x + y D. 7 + xy

Answer: ____________________

6. If x and y are in direct proportion, then for some non-zero real constant k,

A. xy = k B. x + y = k

x
C. =k D. x - y = k
y

Answer: ____________________

7. One or more outcomes of a random experiment make

A. an experiment B. chance

C. a trial D. an event

Answer: ____________________

8. A nine sided polygon is called

A. heptagon B. nonagon

C. octagon D. decagon

Answer: ____________________
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9. With the usual notations, Euler's formula for a polyhedron is

A. F + E = V +2 B. F + E = V - 2

C. F + V = E + 2 D. F + V = E - 2

Answer: ____________________

10. Among these numbers, 108 is completely divisible by

A. 5 B. 11 C. 7 D. 9

Answer: ____________________

11. Usual form of 100 × a + 10 × c + b is

A. abc B. acb

C. 111 abc D. 111 acb

Answer: ____________________

12. Perfect cube among the following is

A. 1728 B. 827

C. 888 D. 2700

Answer: ____________________

5
13. Standard form (Scientific notation) of 0.000003 is

A. 3 × 106 B. 3 × 10-6

C. 3 × 10-5 D. 3 × 105

Answer: ____________________

14. Percentage form of 3:4 is

3
A. 75% B. %
4

C. 34% D. 12%

Answer: ____________________

15. The data that changes continuously over periods of time can be displayed by

A. pictograph B. bargraph

C. line graph D. circle graph

Answer: ____________________

16. A die marked with 1, 2, 3, 4, 5, 6 on its faces (one number on on face) is thrown once.
The probability of getting the outcome '2' is

1 1 1
A. 1 B. C. D.
2 3 6

Answer: ____________________

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II. Answer the following questions 4x1=4

17. How many natural numbers lie between 112 and 122?

18. Observe the adjacent figure and write, K
4
(i) Coordinates of point K
3

(ii) Point whose coordinates are (2, 0) 2 L N

1
M
0 1 2 3 4

19. Write the formula used to find total surface area (in sq.units) of a cuboid, whose
length, breadth and height are 'l' unit, 'b' unit and 'h' unit respectively.

20. In the coordinate system, where does a point whose x-coordinate is zero and
y-coordinate is non-zero lie?

7
III. Answer the following questions 6 x 2 = 12

21. 24 years ago, ratio of ages of Rama and Shashi was 4:5. Now, this ration is 8:9. Find
their ages 24 years ago.

22. By prime factorisation method, find the cuberoot of 2744

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23. Subtract 3 - 7x + 5x2 from 7x2 - 4x + 2

24. Divide (5y3 - 125y) by (y + 5) by factorising the expressions.

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25. Find the sum of the interior angles of a 10 sided convex polygon.

26. 6 Identical pipes are required to fill a tank in 1 hour 20 minutes. How long will it take
if only 5 pipes of same type are used?

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IV. Answer the following questions 3x3=9

27. Find the smallest perfect square number that is divisible by 6, 8 and 18.

28. Suvarna purchased a watch for `1460. After few months, she spent `340 for its repair
and sold it at a loss of 8 percent. Find its selling price and hence the loss incurred by
her.

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29. Construct the quadrilateral FOUR with FO = 5.5cm, OU = 4cm, UR = 5cm,
RF = 4.5cm and OR = 6.5cm.

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V. Answer the following question 1x4=4

30. Length and breadth of a rectangular garden are 30m and 22m respectively. Find
the total cost of constructing a path of uniform width 1.5m around and outside this
garden at the rate of `150 per square metre.

13
VI. Answer the following question 1x5=5

31. Shweta spends her time during a day for differnt activities as follows.

Home
Activity School Play Sleep Others
Work
Time (in hours) 6 4 3 8 3

Draw a Pie chart for this data.

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PÀ£ÁðlPÀ ±Á¯Á ¥ÀjÃPÉë ªÀÄvÀÄÛ ªÀiË®å¤tðAiÀÄ ªÀÄAqÀ°
PÉJ¸ïPÀÄåJJ¹, ªÀįÉèñÀégÀA, ¨ÉAUÀ¼ÀÆgÀÄ-560003.
KARNATAKA SCHOOL EXAMINATION AND ASSESSMENT BOARD
KSQAAC, Malleshwaram, Bengaluru-560003.
ªÀi˯ÁåAPÀ£À - ªÀiÁZïð 2024 - ªÀiÁzÀj ¥Àæ±ÉÆßÃvÀÛgÀ ¥ÀwæPÉ
Assessment - March 2024 Model Paper
«µÀAiÀÄ: UÀtÂvÀ CAPÀUÀ¼ÀÄ : 50
vÀgÀUÀw : 8 ªÀiÁzsÀåªÀÄ : PÀ£ÀßqÀ ¸ÀªÀÄAiÀÄ : 2 UÀAmÉ 30 ¤«ÄµÀ
«zÁåyðUÀ¼ÀÄ ¨sÀwð ªÀiÁqÀ¨ÉÃPÁVgÀĪÀ ªÀiÁ»w
«zÁåyðAiÀÄ ºÉ¸ÀgÀÄ : _____________________________________________________________________

«zÁåyðAiÀÄ SATS ¸ÀASÉå : «zÁåyðAiÀÄ ¸À» :_______________

PÉÆoÀr ªÉÄðéZÁgÀPÀgÀÄ ¨sÀwð ªÀiÁqÀ¨ÉÃPÁVgÀĪÀ ªÀiÁ»w
±Á¯ÉAiÀÄ qÉʸï PÉÆÃqï :

±Á¯ÉAiÀÄ ºÉ¸ÀgÀÄ :_________________________________________________________________________

PÀè¸ÀÖgï :______________________ ¨ÁèPï :_______________________ f¯Éè :_______________________
±Á¯ÉAiÀÄ «zsÀ : ¸ÀPÁðj C£ÀÄzÁ¤vÀ C£ÀÄzÁ£À gÀ»vÀ
(C£Àé¬Ä¸ÀĪÀ ªÀiÁ»wUÉ “” UÀÄgÀÄvÀÄ ºÁQj)
PÉÆoÀr ªÉÄðéZÁgÀPÀgÀ ¸À» :______________________________
ªÀiË®åªÀiÁ¥À£À ¸ÀªÀÄAiÀÄzÀ°è ²PÀëPÀgÀÄ ¨sÀwð ªÀiÁqÀ¨ÉÃPÁzÀ ªÀiÁ»w
¥Àæ±Éß ¸ÀASÉå ¥ÀqÉzÀ CAPÀUÀ¼ÀÄ ¥Àæ±Éß ¸ÀASÉå ¥ÀqÉzÀ CAPÀUÀ¼ÀÄ ¥Àæ±Éß ¸ÀASÉå ¥ÀqÉzÀ CAPÀUÀ¼ÀÄ
1 11 21
2 12 22
3 13 23
4 14 24
5 15 25
6 16 26
7 17 27
8 18 28
9 19 29
10 20 30
- - 31
MlÄÖ CAPÀUÀ¼ÀÄ MlÄÖ CAPÀUÀ¼ÀÄ MlÄÖ CAPÀUÀ¼ÀÄ
MlÄÖ UÀ½¹zÀ CAPÀ

MlÄÖ UÀ½¹zÀ CAPÀUÀ¼ÀÄ (CPÀëgÀUÀ¼À°è)___________________________________________________________

ªÀiË®åªÀiÁ¥ÀPÀgÀ ¸À» : _______________________

2
I. F PɼÀV£À ¥Àæ±ÉßUÀ½UÉ/C¥ÀÇtð ºÉýPÉUÀ½UÉ £Á®ÄÌ ¥ÀAiÀiÁðAiÀÄUÀ¼À£ÀÄß ¤ÃqÀ¯ÁVzÉ. CªÀÅUÀ¼À°è CvÀåAvÀ
¸ÀÆPÀÛªÁzÀzÀ£ÀÄß Dj¹ PÀæªÀiÁPÀëgÀzÉÆqÀ£É §gɬÄj.
16 x 1 = 16

1. ªÀÅöåvÀÌöȪÀÄ«®è¢gÀĪÀ ¨sÁUÀ®§Þ ¸ÀASÉå
3
A. -1 B. 0 C. D. 1
5

GvÀÛgÀ: ____________________

2. ¨sÁUÀ®§Þ ¸ÀASÉåUÀ¼À°è DªÀÈvÀªÀ®èzÀ QæAiÉÄ

A. ¸ÀAPÀ®£À B. ªÀåªÀPÀ®£À

C. UÀÄuÁPÁgÀ D. ¨sÁUÁPÁgÀ

GvÀÛgÀ: ____________________

3. 169gÀ ªÀUÀðzÀ ©r¸ÁÜ£ÀzÀ CAQ

A. 1 B. 3 C. 6 D. 9

GvÀÛgÀ: ____________________

4. F PɼÀV£ÀªÀÅUÀ¼À°è MAzÀÄ ZÀgÁPÀëgÀªÀżÀî gÉÃSÁvÀäPÀ ¸À«ÄÃPÀgÀt

A. x2 + 2x = 8 B. x + x3 = -6

5 7 2 5 x 5
C. x+ = D. + =
3 5 7 x 3 7

GvÀÛgÀ: ____________________

3
5. 7xy £À MAzÀÄ ¸ÀeÁw ¥ÀzÀ
2
A. - xy B. 7 + x + y
3

C. -7x + y D. 7 + xy

GvÀÛgÀ: ____________________

6. x ªÀÄvÀÄÛ yUÀ¼ÀÄ £ÉÃgÀ C£ÀÄ¥ÁvÀzÀ°èzÀÝgÉ, DUÀ ±ÀÆ£ÀåªÀ®èzÀ MAzÀÄ ªÁ¸ÀÛªÀ ¹ÜgÁAPÀ kUÉ,

A. xy = k B. x + y = k

x
C. =k D. x - y = k
y

GvÀÛgÀ: ____________________

7. MAzÀÄ AiÀiÁzÀÈaÒPÀ ¥ÀæAiÉÆÃUÀzÀ MAzÀÄ CxÀªÁ ºÉZÀÄÑ ¥sÀ°vÁA±ÀUÀ¼ÀÄ EzÀ£ÀÄß ªÁåSÁ夸ÀÄvÀÛªÉ

A. MAzÀÄ ¥ÀæAiÉÆÃUÀ B. MAzÀÄ CzÀȵÀÖ

C. MAzÀÄ AiÀÄvÀß D. MAzÀÄ WÀl£É

GvÀÛgÀ: ____________________

8. MA§vÀÄÛ ¨ÁºÀÄUÀ½gÀĪÀ MAzÀÄ §ºÀĨsÀÄeÁPÀÈwAiÀÄ ºÉ¸ÀgÀÄ

A. ¸À¥ÀÛ¨sÀÄd B. £ÀªÀ¨sÀÄd

C. CµÀÖ¨sÀÄd D. zÀ±À¨sÀÄd

GvÀÛgÀ: ____________________

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9. MAzÀÄ §ºÀĪÀÄÄT (§ºÀĪÀÄÄR WÀ£À)UÉ ¸ÁªÀiÁ£Àå ¸ÀAPÉÃvÁPÀëgÀUÀ¼ÉÆA¢UÉ DAiÀÄègï£À ¸ÀÆvÀæ

A. F + E = V +2 B. F + E = V - 2

C. F + V = E + 2 D. F + V = E - 2

GvÀÛgÀ: ____________________

10. F PɼÀV£À ¸ÀASÉåUÀ¼À°è, 108£ÀÄß ¤±ÉêõÀªÁV ¨sÁV¸ÀĪÀ ¸ÀASÉåAiÀÄÄ

A. 5 B. 11 C. 7 D. 9

GvÀÛgÀ: ____________________

11. 100 × a + 10 × c + b AiÀÄ ¸ÁªÀiÁ£Àå gÀÆ¥À

A. abc B. acb

C. 111 abc D. 111 acb

GvÀÛgÀ: ____________________

12. F PɼÀV£ÀªÀÅUÀ¼À°è ¥ÀÇtðWÀ£À ¸ÀASÉå

A. 1728 B. 827

C. 888 D. 2700

GvÀÛgÀ: ____________________

5
13. 0.000003gÀ ¸ÁªÀiÁ£Àå (ªÉÊeÁÕ¤PÀ ¸ÀAPÉÃvÀ) gÀÆ¥À

A. 3 × 106 B. 3 × 10-6

C. 3 × 10-5 D. 3 × 105

GvÀÛgÀ: ____________________

14. 3:4 C£ÀÄ¥ÁvÀzÀ ±ÉÃPÀqÁ gÀÆ¥À

3
A. 75% B. %
4

C. 34% D. 12%

GvÀÛgÀ: ____________________

15. PÁ¯ÁªÀ¢üUÀ¼À°è PÀæªÀĪÁV ¤gÀAvÀgÀ §zÀ¯ÁªÀuÉ ºÉÆAzÀĪÀ zÀvÁÛA±ÀUÀ¼À£ÀÄß vÉÆÃj¸ÀĪÀ £ÀPÉë

A. avÀæ £ÀPÉë B. ¸ÀÛA¨sÁ¯ÉÃR

C. gÉÃSÁ £ÀPÉë D. ªÀÈvÀÛ £ÀPÉë

GvÀÛgÀ: ____________________

16. ªÀÄÄRUÀ¼À ªÉÄÃ¯É 1, 2, 3, 4, 5, 6 (MAzÀÄ ªÀÄÄRzÀ ªÉÄÃ¯É MAzÀÄ ¸ÀASÉå) §gÉ¢gÀĪÀ zÁ¼ÀªÀ£ÀÄß
MªÉÄä GgÀĽ¸À¯ÁVzÉ. ¥sÀ°vÁA±À `2' £ÀÄß ¥ÀqÉAiÀÄĪÀ ¸ÀA¨sÀªÀ¤ÃAiÀÄvÉ

1 1 1
A. 1 B. C. D.
2 3 6

GvÀÛgÀ: ____________________

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II. F PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹ 4x1=4

17. 112 ªÀÄvÀÄÛ 122 EªÀÅUÀ¼À £ÀqÀÄªÉ EgÀĪÀ ¸Áé¨sÁ«PÀ ¸ÀASÉåUÀ¼ÉµÀÄÖ?

18. ¥ÀPÀÌzÀ avÀæªÀ£ÀÄß UÀªÀĤ¹, EªÀÅUÀ¼À£ÀÄß §gɬÄj. K
4
(i) K ©AzÀÄ«£À ¤zÉÃð±ÁAPÀUÀ¼ÀÄ
3

(ii) ¤zÉÃð±ÁAPÀUÀ¼ÀÄ (2, 0) DVgÀĪÀ ©AzÀÄ 2 L N

1
M
0 1 2 3 4

19. GzÀÝ, CUÀ® ªÀÄvÀÄÛ JvÀÛgÀUÀ¼ÀÄ PÀæªÀĪÁV 'l' ªÀiÁ£À, 'b' ªÀiÁ£À ªÀÄvÀÄÛ 'h' ªÀiÁ£À DVgÀĪÀ DAiÀÄvÀ WÀ£ÀzÀ
¥ÀÇtð ªÉÄïÉäöÊ «¹ÛÃtð (ZÀzÀgÀ ªÀiÁ£ÀUÀ¼À°è) PÀAqÀÄ»rAiÀÄ®Ä §¼À¸ÀĪÀ ¸ÀÆvÀæ §gɬÄj.

20. ¤zÉÃð±ÁAPÀ ªÀåªÀ¸ÉÜAiÀÄ°è, x-¤zÉÃð±ÁAPÀ ¸ÉÆ£Éß ªÀÄvÀÄÛ y-¤zÉÃð±ÁAPÀ ¸ÉÆ£Éß C®è¢gÀĪÀ MAzÀÄ
©AzÀĪÀÅ J°ègÀÄvÀÛzÉ?

7
III. F PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹ 6 x 2 = 12

21. gÀªÀiÁ ªÀÄvÀÄÛ ±À² EªÀgÀ 24 ªÀµÀðUÀ¼À »A¢£À ªÀAiÀĸÀÄìUÀ¼À C£ÀÄ¥ÁvÀ 4:5 DVvÀÄÛ. FUÀ, F C£ÀÄ¥ÁvÀ
8:9 DzÀgÉ, 24 ªÀµÀðUÀ¼À »A¢£À CªÀj§âgÀ ªÀAiÀĸÀÄì PÀAqÀÄ»r¬Äj.

22. C«¨sÁdå C¥ÀªÀvÀð£À «zsÁ£À¢AzÀ, 2744gÀ WÀ£ÀªÀÄÆ®ªÀ£ÀÄß PÀAqÀÄ»r¬Äj.

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23. 3 - 7x + 5x2 £ÀÄß 7x2 - 4x + 2 jAzÀ PÀ¼É¬Äj.

24. ©ÃeÉÆÃQÛUÀ¼À£ÀÄß C¥ÀªÀwð¹, (5y3 - 125y) AiÀÄ£ÀÄß (y + 5) jAzÀ ¨sÁV¹.

9

25. 10 ¨ÁºÀÄUÀ½gÀĪÀ §»ªÀðPÀæ §ºÀĨsÀÄdzÀ M¼ÀPÉÆãÀUÀ¼À ªÉÆvÀÛ PÀAqÀÄ»r¬Äj.

26. MAzÀÄ ¤Ãj£À vÉÆnÖAiÀÄ£ÀÄß vÀÄA©¸À®Ä MAzÉà jÃwAiÀÄ DgÀÄ PÉƼÀªÉUÀ½UÉ 1 UÀAmÉ 20 ¤«ÄµÀUÀ¼ÀÄ
¨ÉÃPÁUÀÄvÀÛªÉ. CzÉà vÉÆnÖAiÀÄ£ÀÄß vÀÄA©¸À®Ä EzÉà jÃwAiÀÄ LzÀÄ PÉƼÀªÉUÀ½UÉ ¨ÉÃPÁUÀĪÀ ¸ÀªÀÄAiÀÄ
JµÀÄÖ?

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IV. F PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀÛj¹ 3x3=9

27. 6, 8 ªÀÄvÀÄÛ 18jAzÀ ¨sÁUÀªÁUÀĪÀ CvÀåAvÀ aPÀÌ ¥ÀÇtðªÀUÀð ¸ÀASÉåAiÀÄ£ÀÄß PÀAqÀÄ»r¬Äj.

28. ¸ÀĪÀuÁð¼ÀÄ MAzÀÄ UÀrAiÀiÁgÀªÀ£Àß `1460PÉÌ PÉÆAqÀ¼ÀÄ. PÉ®ªÀÅ wAUÀ¼ÀÄUÀ¼À £ÀAvÀgÀ, CzÀgÀ j¥ÉÃjUÉ
`340 RZÀÄð ªÀiÁr ±ÉÃPÀqÁ 8 £ÀµÀÖzÀ°è CzÀ£ÀÄß ªÀiÁjzÀ¼ÀÄ. CzÀgÀ ªÀiÁjzÀ ¨É¯É ªÀÄvÀÄÛ CªÀ½UÁzÀ
MlÄÖ £ÀµÀÖªÀ£ÀÄß PÀAqÀÄ»r¬Äj.

11

29. FO = 5.5cm, OU = 4cm, UR = 5cm, RF = 4.5cm ªÀÄvÀÄÛ OR = 6.5cm. EgÀĪÀAvÉ ZÀvÀĨsÀÄðd
FOUR £ÀÄß gÀa¹.

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V. F PɼÀV£À ¥Àæ±ÉßUÉ GvÀÛj¹ 1x4=4

30. MAzÀÄ DAiÀÄvÁPÁgÀzÀ GzÁå£ÀªÀ£ÀzÀ GzÀÝ ªÀÄvÀÄÛ CUÀ®UÀ¼ÀÄ PÀæªÀĪÁV 30 «ÄÃ. ªÀÄvÀÄÛ 22 «ÄÃ.
DVªÉ. EzÀgÀ ¸ÀÄvÀÛ®Æ ªÀÄvÀÄÛ ºÉÆgÀUÉ 1.5 «ÄÃ. KPÀgÀÆ¥À CUÀ®ªÀżÀî MAzÀÄ ¥ÀxÀªÀ£ÀÄß ¤«Äð¸À®Ä
`150 ¥Àæw ZÀzÀgÀ «ÄÃ. zÀgÀzÀAvÉ DUÀĪÀ MlÄÖ RZÀð£ÀÄß PÀAqÀÄ»r¬Äj.

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VI. F PɼÀV£À ¥Àæ±ÉßUÉ GvÀÛj¹ 1x5=5

31. ±ÉéÃvÁ¼ÀÄ MAzÀÄ ¢£ÀzÀ°è, vÀ£Àß ¸ÀªÀÄAiÀĪÀ£ÀÄß ««zsÀ ZÀlĪÀnPÉUÀ½UÁV F PɼÀV£ÀAvÉ ªÀå¬Ä¸ÀÄvÁÛ¼É.

ZÀlĪÀnPÉ ±Á¯É UÀȺÀPÁAiÀÄð Dl ¤zÉæ EvÀgÉ

¸ÀªÄÀ AiÀÄ (UÀAmÉU¼
À °
À )è 6 4 3 8 3

F zÀvÁÛA±ÀPÉÌ MAzÀÄ ¥ÉÊ £ÀPÉëAiÀÄ£ÀÄß J¼É¬Äj.

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