Check chapter-wise weightage, essential questions, theorems & subjects for upcoming CBSE 10th Maths Board Exam 2019. As consistent with CBSE Date Sheet 2019, this paper is scheduled to be hung on Thursday, 07th March from 10:30 AM to at least one:30 PM. These questions and theorems are essential and anticipated to be requested within the upcoming CBSE 10th Maths Board Exam 2019.
You can get right of entry to answers of just about all of the questions from the hyperlinks given on the finish of this newsletter.
CBSE 10th Maths Board Exam 2019: Chapter-wise essential questions, theorems, subjects & weightage
Chapter-wise essential questions, theorems, subjects & weightage for upcoming CBSE 10th Maths Board Exam 2019 are given beneath
Chapter 1: Real Numbers [Expected – 6 Marks: 1 Mark + 2 Marks + 3 Marks] |
Example: 1 Mark
Question: After what number of decimal puts will the decimal enlargement of 23/(2^{4} × 5^{3}) terminate?
Example: 2 Marks
Question: The HCF and LCM of 2 numbers are Nine and 360 respectively. If one quantity is 45, to find the opposite quantity.
Question: Show that 7 − √Five is irrational, give that √Five is irrational.
Example: 3 Marks
Question: Use Euclid’s Division Algorithm to seek out HCF of 726 and 275.
CBSE Class 10 Mathematics Exam 2019: Important questions with solutions
Chapter 2: Polynomials [Expected – 3 Marks: 1 Question] |
Example: 3 Marks
Question: Find the zeroes of the next polynomial: 5√5 x^{2} + 30 x + 8√5.
Question: Divide 3x^{2} ‒ x^{3 }‒ 3x + Five by means of x ‒ 1 ‒ x^{2} and check the department set of rules.
Chapter 3: Pair of Linear Equations in Two Variables [Expected – 5 Marks: 2 Marks + 3 Marks] |
Example: 2 Marks
Question: For what price of p will the next pair of linear equations have infinitely many answers
(p ‒ 3)x + 3 y = p
px + py = 12
Example: 3 Marks
Question:
Places A and B are 80 km except for each and every different on a freeway. A automotive begins from A and some other from B on the identical time. If they transfer in identical route they meet in Eight hours and in the event that they transfer in opposition to each and every different they meet in 1 hour 20 mins. Find the velocity of vehicles.
Chapter 4: Quadratic Equations [Expected – 5 Marks: 1 Mark + 4 Marks] |
Example: 1 Mark
Question: Find the worth of okay, for which one root of the quadratic equation kx^{2} ‒14x + 8 = Zero is two.
Question: Find the worth(s) of okay for which the equation x^{2} + 5 kx + 16 = Zero has actual and equivalent roots.
Example: 4 Mark
Question: A teach takes 2 hours much less for a adventure of 300 km if its velocity is higher by means of Five km/h from its standard velocity. Find the standard velocity of the teach.
Question: Solve for x: 1/(a + b + x) = [1/a + 1/b + 1/x], [a ≠ 0, b ≠ 0, x ≠ 0, x ≠ ‒ (a + b)]
Chapter 5: Arithmetic Progressions [Expected – 7 Marks: 1 Mark + 2 Marks + 4 Marks] |
Example: 1 Mark
Question: If nth time period of an A.P. is (2n+1), what’s the sum of its first 3 phrases?
Example: 2 Marks
Question: Find the 20th time period from the remaining time period of the AP 3, 8, 13,…., 253.
Question: If 7 instances the seventh time period of an A.P is the same as 11 instances its 11th time period, then to find its 18th time period.
Example: 4 Marks
Question: An AP is composed of 50 phrases of which third time period is 12 and the remaining time period is 106. Find the 29^{th} time period.
Chapter 6: Triangles [Expected – 8 Marks: 1 Mark + 3 Marks + 4 Marks] |
Example: 1 Mark
Question:
In determine if AD = 6cm, DB = 9cm, AE = 8cm and EC = 12cm and ∠ADE = 48^{. Find ∠ABC .}
Example: 3 Marks
Question:
In determine ∠ 1 = ∠ 2and ∆NSQ ≅ ∆MTR, then end up that ∆PTS~∆PRQ.
Question:
In ∆ABC, if AD is the median, then display that AB^{2}+AC^{2 }= 2(AD^{2 }+ BD^{2}).
Example: 3 Marks
Important Theorems:
• Prove that during a proper angled triangle sq. of the hypotenuse is the same as sum of the squares of different two facets.
• If a line is drawn parallel to 1 facet of a triangle to intersect the opposite two facets in distinct issues, the opposite two facets are divided in the similar ratio.
• The ratio of the spaces of 2 equivalent triangles is the same as the ratio of the squares in their corresponding facets.
• In a proper triangle, the sq. at the hypotenuse is the same as the sum of the squares at the different two facets.
• In a triangle, if the sq. on one facet is the same as sum of the squares at the different two facets, the angles reverse to the primary facet is a proper perspective.
Chapter 7: Coordinate Geometry [Expected – 6 Marks: 1 Mark + 2 Marks + 3 Marks] |
Example: 1 Mark
Question:
Find the worth of a, for which level P (a/3, 2) is the mid-point of the road phase becoming a member of the issues Q (-5, 4) and R (-1, 0).
Chapter 15: Probability [Expected – 4 Marks: 2 Marks + 2 Marks]
Example: 2 Marks
Question:
A card is drawn at random from a neatly shuffled deck of 52 playing cards. Find the chance of having neither a pink card nor a queen.
Question:
Two cube are thrown on the identical time and the manufactured from numbers showing on them is famous. Find the chance that the product is a main quantity.
These questions are taken from newest CBSE 10^{th} Maths Sample Paper 2019. You can test answers of those questions from the hyperlinks given beneath
Question:
Find the coordinates of the purpose P which divides the sign up for of A (- 2, 5) and B (3, – 5) within the ratio 2:3.
Question:
Find the coordinates of the purpose P which divides the sign up for of A (- 2, 5) and B (3, – 5) within the ratio 2:3.
Example: 3 Marks
Question:
The issues A (1, -2), B (2, 3), C (okay, 2) and D (-4, -3) are the vertices of a parallelogram. Find the worth of okay.
Question:
The price of okay for which the issues (3k ‒ 1, okay ‒ 2), (okay, okay ‒ 7) and (okay ‒ 1, ‒ okay ‒ 2) are collinear.
Chapter 8: Introduction to Trigonometry, Expected – 8 Marks: [1 Mark + 3 Marks + 4 Marks] |
Example: 1 Mark
Question:
Write the worth of cot^{2} θ ‒ (1/sin^{2}θ).
Example: 3 Marks
Question:
In sin θ = cos θ, then to find the worth of two tan θ + cos^{2} θ.
Question:
Prove that cot θ ‒ tan θ = (2 cos^{2} ‒ 1)/(sin θ cos θ).
Question:
Prove that sin θ (1 + tan θ) + cos θ (1 + cot θ) = sec θ + cosec θ.
Example: 4 Marks
Question:
If sec θ + tan θ = p, then to find the worth of cosec θ.
Chapter 9: Some Applications of Trigonometry [Expected – 4 Marks: 1 Question] |
Example: 4 Marks
Question:
A person at the most sensible of a vertical statement tower observes a automotive transferring at a uniform velocity coming without delay in opposition to it. If it takes 12 mins for the attitude of despair to switch from 30^{ to 45, how lengthy will the automobile take to succeed in the statement tower from this level?}
Question:
The perspective of elevation of a cloud from some extent 60 m above the outside of the water of a lake is 30^{ and the attitude of despair of its shadow from the similar level in water of lake is 60. Find the peak of the cloud from the outside of water.}
Chapter 10: Circles [Expected – 3 Marks: 1 Question] |
Example: 3 Marks
Question:
The radii of 2 concentric circles are 13 cm and eight cm. AB is a diameter of the larger circle and BD is a tangent to the smaller circle touching it at D and intersecting the bigger circle at P on generating. Find the period of AP.
Important Theorems:
• The tangent at any level of a circle is perpendicular to the radius throughout the level of touch.
• The lengths of tangents drawn from an exterior level to a circle are equivalent.
Chapter 11: Constructions [Expected – 4 Marks: 1 Question] |
Example: 4 Marks
Question:
Draw a ∆ ABC with facets 6cm, 8cm and Nine cm after which assemble a triangle very similar to ∆ABC whose facets are 3/Five of the corresponding facets of ∆ ABC.
Chapter 12: Areas Related to Circles [Expected – 3 Marks: 1 Question] |
Example: 3 Marks
Question:
Find the world of the minor phase of a circle of radius 42cm, if period of the corresponding arc is 44cm.
Chapter 13: Surface Areas and Volumes [Expected – 7 Marks: 3 Marks + 4 Marks] |
Example: 3 Marks
Question: A forged sphere of radius Three cm is melted after which recast into small round balls each and every of diameter 0.6 cm. Find the choice of balls.
Question: Water is flowing on the fee of 15 km consistent with hour thru a pipe of diameter 14 cm into an oblong tank which is 50 m lengthy and 44 m large. Find the time during which the extent of water within the tank will upward push by means of 21 cm
Example: 4 Marks
Question: The radii of round ends of a bucket of peak 24 cm are 15 cm and Five cm. Find the world of its curved floor
Chapter 14: Statistics [Expected 7 Marks: 3 Marks + 4 Marks] |
Example: 3 Marks
Question:
The desk displays the day by day expenditure on grocery of 25 families in a locality. Find the modal day by day expenditure on grocery by means of an appropriate way.
Example: 4 Marks
Question:
The median of the next knowledge is 525. Find the values of x and y if the overall frequency is 100.
Chapter 15: Probability [Expected – 4 Marks: 2 Marks + 2 Marks] |
Example: 2 Marks
Question:
A card is drawn at random from a neatly shuffled deck of 52 playing cards. Find the chance of having neither a pink card nor a queen.
Question:
Two cube are thrown on the identical time and the manufactured from numbers showing on them is famous. Find the chance that the product is a main quantity.
These questions are taken from newest CBSE 10^{th} Maths Sample Paper 2019. You can test answers of those questions from the hyperlinks given beneath
Chapter 15: Probability [Expected – 4 Marks: 2 Marks + 2 Marks]
Example: 2 Marks
Question:
A card is drawn at random from a neatly shuffled deck of 52 playing cards. Find the chance of having neither a pink card nor a queen.
Question:
Two cube are thrown on the identical time and the manufactured from numbers showing on them is famous. Find the chance that the product is a main quantity.
These questions are taken from newest CBSE 10^{th} Maths Sample Paper 2019. You can test answers of those questions from the hyperlinks given beneath