The post 9th CBSE Mathematics Mid Term Unsolved Paper 2019 appeared first on Class Notes.

]]>- All the questions are compulsory.
- The question paper consists of 40 questions divided into 5 sections.
**Section A**consists of**16 questions of 1 mark each.**

**Section B**consists of**3 questions of 2 marks each.**

**Section C**consists of**8 questions of 3 marks each.**

**Section D**consists of**6 questions of 4 marks each.**

**Section E**consists of**7 questions of 3-D**Dexture.- There is no overall cchoice. However an internal choice has been provided.
- Use of calculator is not permitted.

Q 1. There can be _______ many irrational numbers between two numbers on the number line.

Q 2. A polynomial of degree __________ is called constant polynomial.

Q 3. Co-ordinates of a point on the x-axis are of the form ________.

Q 4. Find the rational number among the following numbers:

- √64/8
- √98
- √98/√2
- √14

Q 5. The radius of a sphere i 2r, than the volume will be

- 4/3 πr³
- 4πr³
- 8πr³/3
- 32/3 πr³

Q 6. An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angle is:

- 37.5°
- 52.5°
- 72.5°
- 75°

Q 7. Three angles of a quadrilateral are 75°, 90° & 55°, find the fourth angle.

Q 8. Find the volume of sphere in terms of II whose diameter is 6 cm.

Q 9. Find the length of each side of an equilateral triangle having an area of 9√3 cm².

Q 10. In ΔPQR, PQ = PR and ∠Q = 65°, then find ∠R.

Q 11. Can a triangle have all the angles less than 60°? Give reason.

Q 12. Zero is a rational number.

Q 13. *x* + 2√*x* + 1 is a polynomial.

Q 14. Two circle of same radii are congruent.

Q 15. Point (0, -7) lies in IV Quadrant.

Q 16. There cannot be more than one obtuse angle in a triangle.

Q 17. If (*x* + 1) is a factor of *ax*³ + 2*x* + 4*a* – 9. Find the value of a.

Q 18. Prove that each angle of an equilateral triangle is 60°.

OR

In the given fig.

∠B < ∠A and ∠C < ∠D

Show that AD<BC

Q 19. The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many liters of water can it hold?

Q 20. Find the value of a and b.

7 + √5 / 7 – √5 – 7 – √5 / 7 + √5 = *a + *7/11 √5b

OR

(b) Locate √2 on a number line. [1½]

Q 21. If the polynomial *a*z³ + 4z² + 3z – 4 and z³ – 4z + *a* leaves the same remainder when divided by z – 3, find the value of a.

OR

Simplify: (*a* + b + c)² – (*a* – b – c)² + 4b² – 4c²

Q 22. In fig. if AB||CD,

CD||EF and y:z = 3:7

Find *x*

OR

It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP find ∠XYQ and reflex ∠QYP.

Q.23. In figure, AB is a line segment and P is its mid point.

D and E are points on the same side of AB such

that ∠BAD = ∠ABE and ∠EPA = ∠DPB. Show that

- ΔDAP ≅ ΔEBP
- AD = BE

Q 24. A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non parallel sides are 14 m and 13 m. Find the area of the field.

Q.25. In figure, Diagonal AC of a parallelogram

ABCD bisect ∠A. Show that:

- It bisects ∠C also.
- ABCD is a rhombus.

OR

Show that the diagonals of a rhombus are perpendicular to each other.

Q 26. Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find

- radius of base
- Total surface area of the cone.

Q 27. A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?

Q 28. If *a* = 3 + 2√2, find the value of

Q 29. By actual division, find the quotient and remainder when 3*x*^{4} – 4*x*³ – 3*x* – 1 is divided by *x* + 1.

OR

If *a* + b + c = 6 and and *a*b + bc + c*a* = 11, then find the value of *a*³ + b³ + c³ – 3*a*bc

Q 30. Plot the points A (2,0), B(5,0) and C (5,3). Find the coordinates of the point D such that ABCD is a square. Find the area and perimeter of square.

Q 31.

Two side AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and OR and median PN of ΔPQR.

Show that:

- ΔABM ≅ ΔPQN
- ΔABC ≅ ΔPQR

OR

In fig., PR>PQ and PS bisects

∠QPR. Prove that ∠PSR > ∠PSQ.

Q 32. Twenty seven solid iron spheres each of radius r¹ and surface area S are melted to form a sphere with surface area S¹. Find the

- radius r¹ of the new sphere
- ratio of S and S¹

OR

Volume of the two spheres are in the ratio 125:27. Find the ratio of their surface areas.

Q 33. ABC is a triangle right angled at C. A line through the mid point M of hypotenuse AB and parallel to BC intersect AC at D. Show that

- D is the mid point of AC
- MD⊥AC
- CM = MA = ½ AB

Q 34. ________ 3D Printing technology was invented by Chuck Hull in 1983. [1]

Q 35. _________ 3D Printing technology used in our school. [1]

Q 36. Which of the following software we used in 3D printing? [1]

- Designing software
- Slicing software
- None of above
- both (a) and (b)

Q 37. The name of the material we use for 3D printing is [1]

- Acrylonitrile Butadirne Styrene
- Polylactic acid
- Poly carbonated acid
- Nylon

Q 38. Give a brief introduction of smart city? [2]

Q 39. What is the difference between alternating current and direct current? What is I.C. and write its full form. [2]

Question: What is the diameter of the filament you use in 3D Printer? What is the full form of FDM? [2]

OR

What is alternating current? From where you obtained AC & DC?

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]]>The post 9th Mathematics Pre-Mid Exam Question Paper (2019-20) appeared first on Class Notes.

]]>- All questions are compulsory.
- This question paper consists of 40 questions divided into five sections – A, B, C, D and 3-D DEXTER.
- Section-A contains 16 questions of 1 mark each.

Section-B contains 3 questions of 2 mark each.

Section-C contains 8 questions of 3 mark each.

Section-D contains 6 questions of 4 mark each.

3-D DEXTER contains 4 questions of 1 mark each and 3 questions of 2 marks each. - Use of Calculators is not permitted.

∠TSQ = 75°, find ∠SQT.

- mirror image of P(-1, 4) in x – axis.
- perpendicular distance of Q(-2, -4) from x axis.
- abscissa of the point R(3, 0).

(a) plot the point P, Q and R on graph.

(b) find the coordinates of the missing vertex S.

(c) find the area and perimeter of PQRS.

- Find the area of ΔABC using Heron’s formula.
- If its perimeter is 180 cm, what will be the area of the triangle.

- Rectangle tool
- Offset tool
- Rotate tool
- Push Pull

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]]>The post 10th Class CBSE Mathematics 2018-19 appeared first on Class Notes.

]]>- All questions are compulsory.
- This question paper consists of
**30 questions**divided into**four sections – A, B, C and D.** **Section A**contains**6 questions of 1 mark each**.**Section B**contains**6 questions of 2 marks**each.**Section C**contains**10 questions of 3 marks**each.**Section D**contains**8 questions of 4 marks**each.- There is no overall choice. However, an internal choice has been provided in
**two**questions of**1**marks two questions of**2**marks,**four**questions of**3**marks each and three questions of**4**marks each. You have to attempt only**one**of the alternative in all such questions. - Use of calculator is
**not**permitted.

Or

Find the value of k for which the roots of the equation 3x² – 10x + k = 0 are reciprocal of each other.

Or

Find the value of (sin² 33° + sin² 57°)

Or

If the sum of first n terms of an AP is n², then find its 10th terms.

Or

Show that every positive odd integer is of the form (4q + 1) or (4q + 3), where q is some integer.

Or

Prove that (1 + cot A – cosec A) (1 + tan A + sec A) = 2

Or

A fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction.

Or

The line segment joining the points A(2, 1) and B(5, -8) trisected at the points P and Q such that Pis nearer to A. If P also lies on the line given by 2x – y + k = 0, find the value of k.

If P and Q are the points on side CA and CB respectively of Δ ABCD, right angled at C. Prove that (AQ² + BP²) = (AB² + PQ²)

Or

The table shows the daily expenditure on food of 25 households in a locality. Find the mean daily expenditure on food.

Two pole of equal heights are standing opposite on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30° respectively. Find the height of the poles and the distances of the point from the poles.

Or

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.

The post 10th Class CBSE Mathematics 2018-19 appeared first on Class Notes.

]]>The post 8th Mathematics Summative Assessment-II (2016-17) appeared first on Class Notes.

]]>Subject: Mathematics

- All questions are compulsory.

- In which 2 sections are the number of boys equal?
- How many sections have grater number of girls than boys?

- Factorize: 4d
^{2}– 8d + 3 - Multiply: (4x
^{2}– 7) by (2x + 3)

- A chit numbered more than and equal to 75
- A multiple of 10
- A chit numbered less than 30

- 102 X 98
- (11)
^{3}

- (a + b – c)
^{2}+ (a + b)^{2} - If x + y = 12 and xy = 14, find the value of (x
^{2}+ y^{2})

- p
^{3}– 25p - 25 x
^{2}+ 110 xy + 121 y^{2}

- The ratio of 2 sides of a parallelogram is 4:3. If its perimeter is 56 cm, find the length of its.
- Two adjacent angles of a parallelogram are (3x – 4) and (3x + 16). Find the value of x and hence find the measure of each of its angles.

- either a King or a Queen
- neither a Jack nor an Ace
- a face card
- a red colored ball

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]]>The post 8th Mathematics Annual Exam 2018-19 appeared first on Class Notes.

]]>Subject: Mathematics

- All questions are compulsory.
- Do you work neatly.
- Do not scribble on the question paper.
- Write your name and section on the question paper.

(a) 99³ (b) 105 × 106

- How far did the car go in the first hour?
- How much time did the car took to travel between 200 km to 350 km?
- Did the car stop for some duration at any place? Justify your answer.
- How much time will the whole journey take to reach city Q from P without stopping anywhere?

The post 8th Mathematics Annual Exam 2018-19 appeared first on Class Notes.

]]>The post 10 CBSE Mathematics Pre-Board 2018-19 appeared first on Class Notes.

]]>- All questions are compulsory.
- This question paper consists of 30 questions divided into four Sections – A, B, C and D.
- Section A contains 6 questions of 1 mark each. Section B contains 6 questions of 2 marks each, Section C contains 10 questions of 3 marks each. Section D contains 8 questions of 4 marks each.
- There is no overall choice. However, an internal choice has been provided in four questions of 3 marks each and 3 questions of 4 marks each. You have to attempt only one of the alternatives in all such questions.
- Use of calculators is not permitted.

OR

Solve for x

OR

Two poles of equal heights are standing opposite to each other on either side of the road which is 80 m wide. From a point in between them on the road, the angles of elevation of the top of poles are 60° and 30° respectively. Find the height of the poles and the distances of the from the poles.

(i) a prime number

(ii) a composite number

(iii) a number divisible by 3

(iv) a perfect cube

OR

The King, Queen and Jack of clubs are removed a pack of 52 cards and then the remaining cards are well shuffled. A card is selected from the remaining cards. Find the probability of getting a card

(i) of spade

(ii) of black king

(iii) of club

(iv) of jacks

The post 10 CBSE Mathematics Pre-Board 2018-19 appeared first on Class Notes.

]]>The post 10 Class Maths Periodic Test III (2018-19) appeared first on Class Notes.

]]>- All questions are compulsory.
- The question paper consist of 30 questions divided into four section A, B, C, and D.
**Section A**comprise of 6 questions of 1 mark each,**Section B**comprises of 6 questions of 2 marks each,**Section C**comprises of 10 questions of of 3 marks each and**Section D**comprises of 8 questions of 4 marks each. - Use of calculator is not permitted.

OR

If (x + a) is a factor of 2x

OR

If tanθ = cot (30° + θ), find the value of θ.

(a) A white ball or green ball (b) Neither a green ball nor a red ball.

(2m – 1)x + 3y – 5 = 0

3x + (n – 1)y – 2 = 0

OR

Prove that 8+9√7 is an irrational number, given that √7 is irrational.

(a) atleast two tails (b) three heads

OR

Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.

OR

If tan(A+B) = √3 and tan(A-B) – 1/√3, find A and B.

**Computer the mode size of holding.**

OR

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of the diagonals.

OR

Find the coordinates of the points of trisection of the line segment joining the points P(2,-2) and Q(-7, 4)

OR

A container opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the area of metal sheet used to make the container.

OR

The angle of elevation of a cloud from a point 50 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. Find the height of the cloud above lake level.

OR

Two years ago, a father was five time as old as his son. Two years later, his age will be 8 more than three times the age of the son. Find the present ages of father and son.

The post 10 Class Maths Periodic Test III (2018-19) appeared first on Class Notes.

]]>The post 10th Math Periodic Test I (2018-19) appeared first on Class Notes.

]]>2

4

6

10

p+5

3

2

3

1

2

Kx + 3y – (k – 3) = 0

12x + ky – k = 0

60 – 100

100 – 150

150 – 250

250 – 350

350 – 450

5

16

12

2

3

a^{2 }b^{2
—– – —— = 0
}^{X Y}

a^{2 }b^{2
—– – —— = a+b; x, y ≠ 0
X Y}

20 – 30

30 – 40

40 – 50

50 – 60

60 – 70

30 – 40

40 – 50

50 – 60

60 – 70

8

40

58

90

83

40

58

90

83

100 – 120

120 – 140

140 – 160

160 – 180

180 – 200

12

14

8

6

10

Convert the distribution above to a less than type cumulative frequency distribution and find median graphically.

The post 10th Math Periodic Test I (2018-19) appeared first on Class Notes.

]]>The post 10th Maths Periodic Test II (2018-19) appeared first on Class Notes.

]]>- All questions are compulsory.
- The question paper consists of 30 questions divided into four sections A, B, C and D. Section A compares of 6 questions of 1 mark each, Sections B comprises of 6 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 8 questions of 4 marks each.
- Use of calculator is not permitted.

1. The points P (2,0), Q (- 6, -2), R (a, a) and S (4, – 2) are the vertices of a parallelogram (in order). Find the co-ordinate of the point R.

2. Find the value of k for which the pair of linear equation 4x + 6y – 1 = 0 and 2x + ky – 7 = 0 represents parallel lines.

3. Write whether the rational number 7/75 will have terminating decimal expansion or a non – terminating repeating decimal expansion.

4. In Δ DEW, AB||EW. If AD = 4 cm, DE = 12 cm and DW = 24 cm, then find the value of DB.

5. A ladder of length 15√2 m reaches a window 15 m high. Find the inclination of the ladder with the ground.

6. If sec 2A = cosec (A – 36°), find A.

7. E is any point on produced side BC of Δ ABC in which AB = AC. If AD ⊥ BC and EF ⊥ AB, then prove that ΔACD ˜ ΔEBF.

8. Find the first term if k + 2, 4k – 6 and 3k – 2 are the three consecutive terms of an A.P.

9. Find the value of k, for which the given quadratic equation has equal roots:

4x^{2} + kx + 6 = 0.

10. Given that √2 is irrational, prove that (5 + 3√2) is an irrational number.

11. Find the ratio in which P(4, m) divides the line segment joining the points A(2,3) and B(6,- 3). Hence find m.

12. In the figure, ABCD is a rectangle. Find the values of x and y.

The post 10th Maths Periodic Test II (2018-19) appeared first on Class Notes.

]]>The post 10th Maths Periodic Test I (2018-19) appeared first on Class Notes.

]]>- The H.C.F of two number is 145 and their L.C.M is 2175. If one number is 725, then find the other number.
- Find the nature of roots of ax
^{2 }+ bx + c = 0, a > 0, b = 0, c > 0. - Find whether the given lines representing the following pair of liner equations intersect at a point, are parallel or coincident.

2x – 3y = 8

4x – 6y = 9 - Given 2 cos 3θ = √3, find the value of θ.
- Given that cos (A – B) = cos A cos B + sin A sin B, find the value of cos 15° by taking suitable values of A and B.
- For what value of k will the following pair of linear equations have no solution?

2x + 3y = 9

6x + (k – 2)y = (3k – 2) - Find a quadratic polynomial with zero 3 + √2 and 3 – √2.
- Without actually performing the long division, state whether 257/500 has a terminating decimal expansion or not. Also write the terminating decimal expansion if it exists.
- Find the zeroes of the polynomial 5x
^{2 }– 8x – 4 and verify the relationship between the zeroes and the coefficients. - Solve the following system of linear equations graphically
5x – 7y = 50

5x + 7y = 20

Also write the coordinates of the points where they meet x axis. - Solve the equation + 6 = 0 by method of completing the square.
- Simplify
tan 28° 1

————- + ——– (tan 20°. tan 60°. tan 70°)

cot 62° + 1 √3 - Find the positive value of k for which x
^{2 }+ kx + 64 = 0 and x^{2 }– 8x + k = 0 will have real roots. - Prove that:
cot

^{3 }θ. sin^{3 }θ tan^{3 }θ. cos^{3 }θ sec θ cosec θ – 1

——————- + ——————— = ———————-

(cos^{ }θ. + sin^{ }θ)^{2 }(cos^{ }θ. + sin^{ }θ)^{2 cosec θ + sec θ} - A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 60°. When he retires 40 metres from the bank, he finds the angle of elevation to be 30°. Find the width of the river.
- A man has certain notes of denomination of Rs. 20 and Rs. 5 which amount to Rs. 380. If the number of the each king are interchanged, they amount Rs. 60 less than before. Find the number of notes of each denomination.

The post 10th Maths Periodic Test I (2018-19) appeared first on Class Notes.

]]>