Karnataka Class 9 SA1 Question Paper 2025 Maths
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Page 1
Government of Karnataka
Karnataka Secondary Education Examination Board
Question Papers
SA1 Exam
Karnataka Secondary Education Examination Board
Question Papers
SA1 Exam
Page 2
ADARSHA VIDYALAYA (R.M.S.A) MOLAKALMURU
SUMMATIVE ASSESSMENT—1 /SEPT-2025-26 Time:90 min
Class: 9th MATHEMATICS Max.Marks:80
I. Four alternatives are given for each of the following questions/incomplete statements. Choose
the correct alternative and write the complete answer along with its letter of alphabet.: 8X1=8
1) Among the following the rational number is
A) √25 B) 𝜋 C) 1.232342345. . .. … D) √3
2) The coefficient of 𝑥2 in 9𝑥2 + 4𝑥 − 6 is
A) 2 B) 3 C) 6 D) 9
3) 𝑥 + 2 is an example of
A) Constant polynomial B) Linear polynomial
C) Quadratic polynomial D) Cubic polynomial
4) The point at which the two coordinate axes meet is called
A) Abscissa B) Ordinate C) Origin D) quadrant
5) The linear equation 2𝑥 − 5𝑦 = 7 has
A) A unique solution B) Two solutions C) Infinitely many solutions D) No solution
6) The mathematical statement which needs a proof is
A) Theorem B) Axiom C) Definition D) Postulate
7) If a ray stands on a line, then the sum of two adjacent angles so formed is
A) 3600 B) 900 C)600 D) 1800
8) An angle that measures 900 is called
A) Obtuse angle B) Right angle C) Straight angle D) Acute angle
II. Answer the following: 8x1=8
9) The value of 10000 is
10) Add:2√2 + 5√3and √2 − √3
11) The complementary angle of 650 is.
12) Expand: (2𝑎 − 3𝑏)2
13) Write the quadrant in which the point (-4, -1) lie.
14) “Twice the first number is added to the second number, the result is 8”. Express the statement as
a linear equation in two variables.
15) Write any one Euclid’s postulate.
16) Define obtuse angle.
SUMMATIVE ASSESSMENT—1 /SEPT-2025-26 Time:90 min
Class: 9th MATHEMATICS Max.Marks:80
I. Four alternatives are given for each of the following questions/incomplete statements. Choose
the correct alternative and write the complete answer along with its letter of alphabet.: 8X1=8
1) Among the following the rational number is
A) √25 B) 𝜋 C) 1.232342345. . .. … D) √3
2) The coefficient of 𝑥2 in 9𝑥2 + 4𝑥 − 6 is
A) 2 B) 3 C) 6 D) 9
3) 𝑥 + 2 is an example of
A) Constant polynomial B) Linear polynomial
C) Quadratic polynomial D) Cubic polynomial
4) The point at which the two coordinate axes meet is called
A) Abscissa B) Ordinate C) Origin D) quadrant
5) The linear equation 2𝑥 − 5𝑦 = 7 has
A) A unique solution B) Two solutions C) Infinitely many solutions D) No solution
6) The mathematical statement which needs a proof is
A) Theorem B) Axiom C) Definition D) Postulate
7) If a ray stands on a line, then the sum of two adjacent angles so formed is
A) 3600 B) 900 C)600 D) 1800
8) An angle that measures 900 is called
A) Obtuse angle B) Right angle C) Straight angle D) Acute angle
II. Answer the following: 8x1=8
9) The value of 10000 is
10) Add:2√2 + 5√3and √2 − √3
11) The complementary angle of 650 is.
12) Expand: (2𝑎 − 3𝑏)2
13) Write the quadrant in which the point (-4, -1) lie.
14) “Twice the first number is added to the second number, the result is 8”. Express the statement as
a linear equation in two variables.
15) Write any one Euclid’s postulate.
16) Define obtuse angle.
Page 3
III. Solve the following: 8X2=16
17) Find 4 rational numbers between 1 and 2.
18) Express 0.333333……. in the form of
19) Simplify: (3 + √3) (3 - √3)
20) Evaluate 105 X 106 using suitable identity. OR
By using suitable identity, find the product of (𝑥 + 4) and (𝑥 + 10)
21) Write the quadrant or the axis on which do each of the points lie. (-3, 5) (2, -2) (-3, 0) (-4, -6)
22) Find the value of 𝑘, if 𝑥 = 3 and 𝑦 = 2 is a solution of the equation 3𝑥 + 4𝑦 = 𝑘.
OR
Express 5x + 2y = 2 in the form 𝑎𝑥 + 𝑏𝑦 + 𝑐 = 0 and find the value of 𝑎 + 𝑏 + 𝑐.
23) In figure, if AC = BD, then prove that AB=CD
24) List out Euclid’s undefined terms.
Define the following terms: i) Perpendicular lines. ii) Line segment
IV. Solve the following: 9X3=27
25) Locate √2 on the number line
26) Rationalise the denominator and simplify:
√
27) Classify the following as linear, quadratic and cubic polynomials:
(i) 𝑥2 + 𝑥 (ii)𝑥 – 𝑥3 (iii)𝑦2 + 𝑦 + 4 (iv) 1 + 𝑥 (v)3𝑡 (vi) 𝑟2 (vii) 7𝑥3
28) Factorise: x3 +13x2 +32x 20 OR
If 𝑥 + 𝑦 + 𝑧 = 0 then prove that 𝑥3 + 𝑦3 + 𝑧3 = 3𝑥𝑦𝑧
29) Name the following with respect to graph.
a) Horizontal line b) Vertical line c) Each part of the plane divided by two axes
30) Verify which of the following are solutions of the equation 𝑥 + 2𝑦 = 6.
(i) (1, 2) (ii) (2, 2) (iii) (0, 3)
31) Find the value of polynomial 4x2 -5x +3 at i) x =0 ii) x= -1 and iii) x=2
OR
What are the possible expressions for the dimensions of the cuboids whose volumes are given
as 12ky2 +8ky -20k?
17) Find 4 rational numbers between 1 and 2.
18) Express 0.333333……. in the form of
19) Simplify: (3 + √3) (3 - √3)
20) Evaluate 105 X 106 using suitable identity. OR
By using suitable identity, find the product of (𝑥 + 4) and (𝑥 + 10)
21) Write the quadrant or the axis on which do each of the points lie. (-3, 5) (2, -2) (-3, 0) (-4, -6)
22) Find the value of 𝑘, if 𝑥 = 3 and 𝑦 = 2 is a solution of the equation 3𝑥 + 4𝑦 = 𝑘.
OR
Express 5x + 2y = 2 in the form 𝑎𝑥 + 𝑏𝑦 + 𝑐 = 0 and find the value of 𝑎 + 𝑏 + 𝑐.
23) In figure, if AC = BD, then prove that AB=CD
24) List out Euclid’s undefined terms.
Define the following terms: i) Perpendicular lines. ii) Line segment
IV. Solve the following: 9X3=27
25) Locate √2 on the number line
26) Rationalise the denominator and simplify:
√
27) Classify the following as linear, quadratic and cubic polynomials:
(i) 𝑥2 + 𝑥 (ii)𝑥 – 𝑥3 (iii)𝑦2 + 𝑦 + 4 (iv) 1 + 𝑥 (v)3𝑡 (vi) 𝑟2 (vii) 7𝑥3
28) Factorise: x3 +13x2 +32x 20 OR
If 𝑥 + 𝑦 + 𝑧 = 0 then prove that 𝑥3 + 𝑦3 + 𝑧3 = 3𝑥𝑦𝑧
29) Name the following with respect to graph.
a) Horizontal line b) Vertical line c) Each part of the plane divided by two axes
30) Verify which of the following are solutions of the equation 𝑥 + 2𝑦 = 6.
(i) (1, 2) (ii) (2, 2) (iii) (0, 3)
31) Find the value of polynomial 4x2 -5x +3 at i) x =0 ii) x= -1 and iii) x=2
OR
What are the possible expressions for the dimensions of the cuboids whose volumes are given
as 12ky2 +8ky -20k?
Page 4
32) If a point C lies between two points A and B such that AC=BC,
then prove that AC = AB. Explain by drawing the figure.
33) Prove that, “if two lines intersect each other, then the vertically
opposite angles are equal”
OR
In figure, lines XY and MN intersect at O. If ∠POV = 900 and
a:b = 2:3, find a, b and c.
V. Solve the following: 4X4=16
34) Expand the following: i) (𝑎 + 𝑏)2 ii) (𝑎 − 𝑏)2 iii) (𝑎 + 𝑏 + 𝑐)2 iv) (𝑎 + 𝑏)3
35) Write any four solutions for the linear equation 3𝑥 + 𝑦 − 12 = 0.
36) Write any four axioms of Euclid’s Geometry. OR
Write true or false for the following statement.
i) Only one line can pass through a single point.
ii) There are an infinite number of lines which pass through two distinct points
iii) If two circles are congruent, then their radii are equal.
iv) The whole is lesser than the part.
37) It is given that ∠ XYZ = 640 and XY is produced to a point P. Draw a figure from the given
information. If ray YQ bisects ∠ZYP, then find measures of ∠XYQ and reflex ∠QYP.
VI. Solve the following: 1X5=5
38) The coordinates of the three vertices of a square KLMN are K (-4, 2), L (3, 2), M (3, -5).
Plot the points K, L, M on a graph. Complete the square and write the coordinates of N.
☻☺All The Best☺☻
then prove that AC = AB. Explain by drawing the figure.
33) Prove that, “if two lines intersect each other, then the vertically
opposite angles are equal”
OR
In figure, lines XY and MN intersect at O. If ∠POV = 900 and
a:b = 2:3, find a, b and c.
V. Solve the following: 4X4=16
34) Expand the following: i) (𝑎 + 𝑏)2 ii) (𝑎 − 𝑏)2 iii) (𝑎 + 𝑏 + 𝑐)2 iv) (𝑎 + 𝑏)3
35) Write any four solutions for the linear equation 3𝑥 + 𝑦 − 12 = 0.
36) Write any four axioms of Euclid’s Geometry. OR
Write true or false for the following statement.
i) Only one line can pass through a single point.
ii) There are an infinite number of lines which pass through two distinct points
iii) If two circles are congruent, then their radii are equal.
iv) The whole is lesser than the part.
37) It is given that ∠ XYZ = 640 and XY is produced to a point P. Draw a figure from the given
information. If ray YQ bisects ∠ZYP, then find measures of ∠XYQ and reflex ∠QYP.
VI. Solve the following: 1X5=5
38) The coordinates of the three vertices of a square KLMN are K (-4, 2), L (3, 2), M (3, -5).
Plot the points K, L, M on a graph. Complete the square and write the coordinates of N.
☻☺All The Best☺☻
Page 5
J¸ï.PÉ.E.J¸ï ¥ËæqsÀ±Á¯É, ºÀÄ°ªÁ£À.
vÀgÀUÀw: 9£Éà ªÉÆzÀ®£Éà ¸ÀAPÀ®£ÁvÀäPÀ ªÀiË®åªÀiÁ¥À£À CAPÀU¼
À ÄÀ : 80
¢£ÁAPÀ: 15/09/2025 «µÀAiÀÄ: UÀtÂvÀ ¸ÀªÀÄAiÀÄ: 3 UÀAmÉ
I. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ £Á®ÄÌ ¥ÀAiÀiÁðAiÀÄUÀ¼£
À ÀÄß ¤ÃqÀ¯ÁVzÉ ¸ÀjAiÀiÁzÀ GvÀÛgÀªÀ£ÄÀ ß DAiÉÄÌ ªÀiÁr §gɬÄj. 8×1= 8
1. PɼVÀ £ÀªÀÅUÀ¼°À è ¨sÁUÀ®§Þ ¸ÀASÉåAiÀÄÄ ____
a) √25 b) √5 c) 𝜋 d) 0.5
2. 2√3 + √3gÀ ¨É¯A
É iÀÄÄ ___
𝑎)√6 b) 2√6 c) 12 d) 3
3. ªÀĺÀvÀÛªÄÀ WÁvÀÀ JgÀqÀÄ DVgÀĪÀ §ºÀÄ¥ÀzÉÆÃQÛ _________
a) §ºÀÄ¥ÀzÉÆÃQÛ c) gÉÃSÁvÀäPÀ §ºÀÄ¥ÀzÆ
É ÃQÛ
b) WÀ£À §ºÀÄ¥ÀzÉÆÃQÛ d) ªÀUÀ𠧺ÀÄ¥ÀzÉÆÃQ
4. p(x) = x2-1F §ºÀÄ¥ÀzÉÆÃQÛAiÀÄ ±ÀÆ£ÀåvÉU¼
À ÀÄ _______
a) 1 ªÀÄvÀÄÛ 0 b) 1 ªÀÄvÀÄÛ -1 c) 0 ªÀÄvÀÄÛ 0 d) 1 ªÀÄvÀÄÛ 2
5. ªÀÄÆ® ©AzÀÄ«£À ¤zÉÃð±ÁAPÀUÀ¼ÄÀ _______
a) (0,0) b) (1,0) c) (0,1) d) (1,1)
6. x-2y=4 ¸À«ÄÃPÀgÀtzÀ ¥ÀjºÁgÀ ______
a) (2,2) b) (4,0) c) (1,0) d) (0,1)
7. WÀ£ÁPÀÈwUÀ¼À ºÀAZÀÄUÀ½AzÀ DªÀÈvÀªÁzÀ ¨sÁUÀªÉà _____
a) ªÉÄïÉäöÊUÀ¼ÄÀ b) ¨ÁºÀÄUÀ¼ÀÄ c) WÀ£ÀU¼À ÀÄ d) DAiÀÄvÀUÀ¼ÄÀ
8. MAzÀÄ PÉÆãÀªÀÅ E£ÉÆßAzÀÄ PÉÆãÀzÀ CzÀÀðªÁVgÀĪÀ ¥ÀÇgÀPÀ PÉÆãÀU¼
À À eÉÆÃr ____
a) (60 , 3 )
0 0
b) (60 , 30 )
0 0
c) (60 , 120 )
0 0
d) (450, 150)
II. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 8×1= 8
9. C¨sÁUÀ®§Þ ¸ÀASÉåAiÀÄ£ÀÄß ªÁåSÁ夹.
10. gÉÃSÁvÀäPÀ §ºÀÄ¥ÀzÆ É ÃQÛUÉ MAzÀÄ GzÁºÀgÀuÉ PÉÆr.
11. (m+n) ªÀÄvÀÄÛ (m-n) EªÀÅUÀ¼£ À ÀÄß UÀÄt¹.
12. (-4,-1) ©AzÀÄ £ÀPëÉ AiÀiÁªÀ ZÀvÀÄxÀðPÀz° À èzÉ.
13. 5x=2y+2 F ¸À«ÄÃPÀgÀtªÀ£ÄÀ ß ax + by + c=0 gÀÆ¥ÀzÀ°è §gɬÄj.
14. AiÀÄÆQèqï£À AiÀiÁªÀÅzÁzÀgÄÀ MAzÀÄ DzsÁgÀ ¥ÀæweÉÕ §gɬÄj.
15. 450gÀ ¥Àj¥ÀÇgÀPÀ PÉÆãÀ JμÀÄÖ?
16. ±ÀÈAUÁ©üªÄÀ ÄR PÉÆãÀUÀ¼ÀÄ JμÀÄÖ ©AzÀÄUÀ¼À°è bÉâ¸ÀÄvÀÛªÉ.
III. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 8×2= 16
17. 1 ªÀÄvÀÄÛ 2gÀ £ÀqÀÄ«£À £Á®ÄÌ C¨sÁUÀ®§Ý ¸ÀASÉåUÀ¼À£ÄÀ ß §gɬÄj
18. ¸ÀÄ®©üÃPÀj¹. (√3 + √7)2
19. avÀz
æ À°è x ¨É¯É PÀAqÀÄ»r¬Äj.
20. C¥Àªw À ð¹. 49a2 + 70ab + 25b2
21. EªÀÅUÀ¼À£ÄÀ ß «¸ÀÛj¹. a) (a-b)2 b) (a+b)3
vÀgÀUÀw: 9£Éà ªÉÆzÀ®£Éà ¸ÀAPÀ®£ÁvÀäPÀ ªÀiË®åªÀiÁ¥À£À CAPÀU¼
À ÄÀ : 80
¢£ÁAPÀ: 15/09/2025 «µÀAiÀÄ: UÀtÂvÀ ¸ÀªÀÄAiÀÄ: 3 UÀAmÉ
I. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ £Á®ÄÌ ¥ÀAiÀiÁðAiÀÄUÀ¼£
À ÀÄß ¤ÃqÀ¯ÁVzÉ ¸ÀjAiÀiÁzÀ GvÀÛgÀªÀ£ÄÀ ß DAiÉÄÌ ªÀiÁr §gɬÄj. 8×1= 8
1. PɼVÀ £ÀªÀÅUÀ¼°À è ¨sÁUÀ®§Þ ¸ÀASÉåAiÀÄÄ ____
a) √25 b) √5 c) 𝜋 d) 0.5
2. 2√3 + √3gÀ ¨É¯A
É iÀÄÄ ___
𝑎)√6 b) 2√6 c) 12 d) 3
3. ªÀĺÀvÀÛªÄÀ WÁvÀÀ JgÀqÀÄ DVgÀĪÀ §ºÀÄ¥ÀzÉÆÃQÛ _________
a) §ºÀÄ¥ÀzÉÆÃQÛ c) gÉÃSÁvÀäPÀ §ºÀÄ¥ÀzÆ
É ÃQÛ
b) WÀ£À §ºÀÄ¥ÀzÉÆÃQÛ d) ªÀUÀ𠧺ÀÄ¥ÀzÉÆÃQ
4. p(x) = x2-1F §ºÀÄ¥ÀzÉÆÃQÛAiÀÄ ±ÀÆ£ÀåvÉU¼
À ÀÄ _______
a) 1 ªÀÄvÀÄÛ 0 b) 1 ªÀÄvÀÄÛ -1 c) 0 ªÀÄvÀÄÛ 0 d) 1 ªÀÄvÀÄÛ 2
5. ªÀÄÆ® ©AzÀÄ«£À ¤zÉÃð±ÁAPÀUÀ¼ÄÀ _______
a) (0,0) b) (1,0) c) (0,1) d) (1,1)
6. x-2y=4 ¸À«ÄÃPÀgÀtzÀ ¥ÀjºÁgÀ ______
a) (2,2) b) (4,0) c) (1,0) d) (0,1)
7. WÀ£ÁPÀÈwUÀ¼À ºÀAZÀÄUÀ½AzÀ DªÀÈvÀªÁzÀ ¨sÁUÀªÉà _____
a) ªÉÄïÉäöÊUÀ¼ÄÀ b) ¨ÁºÀÄUÀ¼ÀÄ c) WÀ£ÀU¼À ÀÄ d) DAiÀÄvÀUÀ¼ÄÀ
8. MAzÀÄ PÉÆãÀªÀÅ E£ÉÆßAzÀÄ PÉÆãÀzÀ CzÀÀðªÁVgÀĪÀ ¥ÀÇgÀPÀ PÉÆãÀU¼
À À eÉÆÃr ____
a) (60 , 3 )
0 0
b) (60 , 30 )
0 0
c) (60 , 120 )
0 0
d) (450, 150)
II. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 8×1= 8
9. C¨sÁUÀ®§Þ ¸ÀASÉåAiÀÄ£ÀÄß ªÁåSÁ夹.
10. gÉÃSÁvÀäPÀ §ºÀÄ¥ÀzÆ É ÃQÛUÉ MAzÀÄ GzÁºÀgÀuÉ PÉÆr.
11. (m+n) ªÀÄvÀÄÛ (m-n) EªÀÅUÀ¼£ À ÀÄß UÀÄt¹.
12. (-4,-1) ©AzÀÄ £ÀPëÉ AiÀiÁªÀ ZÀvÀÄxÀðPÀz° À èzÉ.
13. 5x=2y+2 F ¸À«ÄÃPÀgÀtªÀ£ÄÀ ß ax + by + c=0 gÀÆ¥ÀzÀ°è §gɬÄj.
14. AiÀÄÆQèqï£À AiÀiÁªÀÅzÁzÀgÄÀ MAzÀÄ DzsÁgÀ ¥ÀæweÉÕ §gɬÄj.
15. 450gÀ ¥Àj¥ÀÇgÀPÀ PÉÆãÀ JμÀÄÖ?
16. ±ÀÈAUÁ©üªÄÀ ÄR PÉÆãÀUÀ¼ÀÄ JμÀÄÖ ©AzÀÄUÀ¼À°è bÉâ¸ÀÄvÀÛªÉ.
III. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 8×2= 16
17. 1 ªÀÄvÀÄÛ 2gÀ £ÀqÀÄ«£À £Á®ÄÌ C¨sÁUÀ®§Ý ¸ÀASÉåUÀ¼À£ÄÀ ß §gɬÄj
18. ¸ÀÄ®©üÃPÀj¹. (√3 + √7)2
19. avÀz
æ À°è x ¨É¯É PÀAqÀÄ»r¬Äj.
20. C¥Àªw À ð¹. 49a2 + 70ab + 25b2
21. EªÀÅUÀ¼À£ÄÀ ß «¸ÀÛj¹. a) (a-b)2 b) (a+b)3
Page 6
22. 2x – 8 = 6y F ¸À«ÄÃPÀgÀtªÀ£ÄÀ ß ¸ÁªÀiÁ£Àå gÀÆ¥Àz° À ¹, a,b ªÀÄvÀÄÛ c UÀ¼À ¨É¯É §gɬÄj.
À è ªÀåPÀÛ¥r
23. ªÁåSÁ夹. a) ®A§ gÉÃSÉUÀ¼ÄÀ b) gÉÃSÁ RAqÀ
2
24. x=1, x=-2 DzÁUÀ p(x)= x +x-20 F §ºÀÄ¥ÀzÉÆÃQÛAiÀÄ ¨É¯ÉAiÀÄ£ÀÄß PÀAqÀÄ»r¬Äj.
IV. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 9×3= 27
25. bÉÃzÀªÀ£ÀÄß CPÀgt
À ÂÃPÀj¹ ¸ÀÄ®¨sÀ gÀÆ¥ÀPÌÉ vÀ¤ß.
√ √
26.` C¥ÀªÀwð¹. 8x3 + 27y3 + 36x2y + 54xy2
27. 0.3333..... £ÀÄß gÀÆ¥ÀzÀ°è §gɬÄj.
28. √2£ÀÄß ¸ÀASÁå gÉÃSÉAiÀÄ ªÉÄÃ¯É UÀÄgÀÄw¹.
29. PÉÆnÖgÄÀ ªÀ avÀz æ À°è x ªÀÄvÀÄÛ y UÀ¼À ¨É¯É PÀAqÀÄ»r¬Äj. (ABIICD)
30. AiÀÄÆQèqï£À AiÀiÁªÀÅzÁzÀgÄÀ ªÀÄÆgÀÄ ¸ÀéAiÀÄA ¹zÀÞUÀ¼£ À ÀÄß §gɬÄj.
31. 3x + y -12=0 F gÉÃSÁvÀäPÀ ¸À«ÄÃPÀgt À PÉÌ ªÀÄÆgÀÄ ¥ÀjºÁgÀ PÀAqÀÄ»r¬Äj.
32. MAzÀÄ WÀ£ÁPÀÈwAiÀÄ JvÀÛg,À CUÀ® ªÀÄvÀÄÛ GzÀÝ PÀæªÄÀ ªÁV (x+ 10), (x+4) ªÀÄvÀÄÛ (x-6) DzÀg,É WÀ£ÁPÀÈwAiÀÄ
WÀ£¥À ®sÀ PÀAqÀÄ»r¬Äj.
33. MAzÀÄ ¨ÁrUÉ ªÁºÀ£ÀªÀÅ ªÉÆzÀ® Q¯ÉÆëÄÃlgïUÉ ₹.25 £ÀAvÀgÀ ¥Àæw Q.«ÄÃ.UÉ ₹.15UÀ¼ÄÀ ±ÀĮ̪À£ÄÀ ß
«¢ü¸¯ À ÁUÀÄvÀÛz.É 19 Q.«Äà ZÀ°¹zÀPÉÌ JμÀÄÖ ºÀt ¤ÃqÀ¨ÃÉ PÀÄ?
V. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj Û ¹. 4×4= 16
34. avÀæz°À È X, Y ªÀÄvÀÄÛ Z ¨É¯É PÀAqÀÄ»r¬Äj. ¥Àæw PÉÆãÀzÀ C¼ÀvÉ §gɬÄj.
35. AiÀÄÆQèqï£À AiÀiÁªÀÅzÁzÀgÄÀ £Á®ÄÌ ªÁåSÉåUÀ¼£ À ÄÀ ß §gɬÄj.
36.C) x2+4x +3F §ºÀÄ¥ÀzÆ É ÃQÛAiÀÄ ±ÀÆ£ÀåvÉU¼À À£ÄÀ ß PÀAqÀÄ»r¬Äj .
D) EªÀÅUÀ½UÉ JgÀqg É ÀqÄÀ GzÁºÀgu À É PÉÆr
a) ±ÀÆ£Àå ¥ÀzÆ É ÃQÛ b) WÀ£À¥zÀ ÉÆÃQÛ
37. ¸ÀÄ®©üÃPÀj¹. a) (√3 +√5) 2
b) (√2 - √7) (√2 +√6)
VI. PɼV
À £À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 5×1= 5
38. K(1, -3), M(0, 5), N(-6, 4), P(-1,-6) ªÀÄvÀÄÛ U(1, 4) F ¤zÉÃð±ÁAPÀ ©AzÀÄUÀ¼£
À ÄÀ ß £ÀPÉëAiÀÄ°è UÀÄgÀÄw¹,
ZËPÀª£ À ÀÄß gÀa¹.
À è ªÀåPÀÛ¥r
23. ªÁåSÁ夹. a) ®A§ gÉÃSÉUÀ¼ÄÀ b) gÉÃSÁ RAqÀ
2
24. x=1, x=-2 DzÁUÀ p(x)= x +x-20 F §ºÀÄ¥ÀzÉÆÃQÛAiÀÄ ¨É¯ÉAiÀÄ£ÀÄß PÀAqÀÄ»r¬Äj.
IV. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 9×3= 27
25. bÉÃzÀªÀ£ÀÄß CPÀgt
À ÂÃPÀj¹ ¸ÀÄ®¨sÀ gÀÆ¥ÀPÌÉ vÀ¤ß.
√ √
26.` C¥ÀªÀwð¹. 8x3 + 27y3 + 36x2y + 54xy2
27. 0.3333..... £ÀÄß gÀÆ¥ÀzÀ°è §gɬÄj.
28. √2£ÀÄß ¸ÀASÁå gÉÃSÉAiÀÄ ªÉÄÃ¯É UÀÄgÀÄw¹.
29. PÉÆnÖgÄÀ ªÀ avÀz æ À°è x ªÀÄvÀÄÛ y UÀ¼À ¨É¯É PÀAqÀÄ»r¬Äj. (ABIICD)
30. AiÀÄÆQèqï£À AiÀiÁªÀÅzÁzÀgÄÀ ªÀÄÆgÀÄ ¸ÀéAiÀÄA ¹zÀÞUÀ¼£ À ÀÄß §gɬÄj.
31. 3x + y -12=0 F gÉÃSÁvÀäPÀ ¸À«ÄÃPÀgt À PÉÌ ªÀÄÆgÀÄ ¥ÀjºÁgÀ PÀAqÀÄ»r¬Äj.
32. MAzÀÄ WÀ£ÁPÀÈwAiÀÄ JvÀÛg,À CUÀ® ªÀÄvÀÄÛ GzÀÝ PÀæªÄÀ ªÁV (x+ 10), (x+4) ªÀÄvÀÄÛ (x-6) DzÀg,É WÀ£ÁPÀÈwAiÀÄ
WÀ£¥À ®sÀ PÀAqÀÄ»r¬Äj.
33. MAzÀÄ ¨ÁrUÉ ªÁºÀ£ÀªÀÅ ªÉÆzÀ® Q¯ÉÆëÄÃlgïUÉ ₹.25 £ÀAvÀgÀ ¥Àæw Q.«ÄÃ.UÉ ₹.15UÀ¼ÄÀ ±ÀĮ̪À£ÄÀ ß
«¢ü¸¯ À ÁUÀÄvÀÛz.É 19 Q.«Äà ZÀ°¹zÀPÉÌ JμÀÄÖ ºÀt ¤ÃqÀ¨ÃÉ PÀÄ?
V. PɼÀV£À ¥Àæ±ÉßUÀ½UÉ GvÀj Û ¹. 4×4= 16
34. avÀæz°À È X, Y ªÀÄvÀÄÛ Z ¨É¯É PÀAqÀÄ»r¬Äj. ¥Àæw PÉÆãÀzÀ C¼ÀvÉ §gɬÄj.
35. AiÀÄÆQèqï£À AiÀiÁªÀÅzÁzÀgÄÀ £Á®ÄÌ ªÁåSÉåUÀ¼£ À ÄÀ ß §gɬÄj.
36.C) x2+4x +3F §ºÀÄ¥ÀzÆ É ÃQÛAiÀÄ ±ÀÆ£ÀåvÉU¼À À£ÄÀ ß PÀAqÀÄ»r¬Äj .
D) EªÀÅUÀ½UÉ JgÀqg É ÀqÄÀ GzÁºÀgu À É PÉÆr
a) ±ÀÆ£Àå ¥ÀzÆ É ÃQÛ b) WÀ£À¥zÀ ÉÆÃQÛ
37. ¸ÀÄ®©üÃPÀj¹. a) (√3 +√5) 2
b) (√2 - √7) (√2 +√6)
VI. PɼV
À £À ¥Àæ±ÉßUÀ½UÉ GvÀj
Û ¹. 5×1= 5
38. K(1, -3), M(0, 5), N(-6, 4), P(-1,-6) ªÀÄvÀÄÛ U(1, 4) F ¤zÉÃð±ÁAPÀ ©AzÀÄUÀ¼£
À ÄÀ ß £ÀPÉëAiÀÄ°è UÀÄgÀÄw¹,
ZËPÀª£ À ÀÄß gÀa¹.
Page 7
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Page 8
Study Materials
Notes
Model Papers Class 6 Notes
Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes
Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats
Maps of India / World Class 12 Notes
Books and Solutions
NCERT Books
NCERT Book Solutions
HC Verma Chapter Wise Solutions
RD Sharma Solutions
CGBSE Solutions
Notes
Model Papers Class 6 Notes
Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes
Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats
Maps of India / World Class 12 Notes
Books and Solutions
NCERT Books
NCERT Book Solutions
HC Verma Chapter Wise Solutions
RD Sharma Solutions
CGBSE Solutions
Document Details
| Board / Org | Karnataka Board |
| Exam | Class 9 |
| Type | Question Paper |
| Pages | 8 |
| Updated | 24 Sep 2026 |