CLASS X TH CBSE Math SA-1 ASSIGNMENT2019 - Future Study Point


assignment of maths class 10

Class X  CBSE Maths SA-1 Assignment Question paper 2019

The assignment of maths for class 10 for SA-1 or half-yearly examination is available in the form of a question paper for maths 2019, it will help the students in understanding the type of questions asked in the exams. If you face any kind of problem in solving the questions please write in the comment box, and we will provide you with a link in which you study all the solutions.

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assignment of maths class 10


CBSE Class 10-Question paper of maths 2021 with solutions

CBSE Class 10-Half yearly question paper of maths 2020 with solutions

CBSE Class 10 -Question paper of maths 2020 with solutions

CBSE Class 10-Question paper of maths 2019 with solutions

Time Allowed : 3 to 31/ ₂ hours                                                                                         Maximum Marks: 80

General Instructions :

(i)All questions are compulsory.

(ii) The question paper consists of 34 questions divided into four sections A, B, C and D. Section A comprises of 10 questions of 1 mark each, Section B comprises of8 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each and Section D comprises of 6 questions of 4 marks each.

(iii) Question numbers 1 to 10 in Section A are multiple choice questions where you are to select one correct option out of the given four.

(iv) There is no overall choice. However, internal choice has been provided in 1 question of two marks, 3 questions of three marks each and 2 questions of four marks each. You have to attempt only one of the alternatives in all such questions.

(v) Use of calculators is not permitted. –

(vi) An additional 15 minutes time has been allotted to read this question paper only

Section ‘A’

1.The value of P for which the polynomial x³+4x² -px +8 is exactly divisible by (x-2) is

(a) 0                                                    (b)3

(c)5                                                     (d)16

2.If HCF and LCM of two numbers are 4 and 9696 then the product of the number is

(a)9696                                       (b)24242

(c)38784                                     (d)4848

3.The pair of linear equations 2x +7y = k, kx +21y = 18 has infinitely many solution if

(a)3                                                (b)6

(c)9                                                 (d)18

4. If cosecθ=4 and cotθ=√3k then k =

(a)1                                                (b)2

(c)√5                                            (d)5

Section B

5. Can two numbers have 18 as their HCF and 380 as their LCM? Give reason.


6. The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs. 160. Also, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent this situation algebraically.

7. Write three rational numbers between √2 and √3.

8.Express 43 in the form of 7q + 8.

9. Use Euclid’s division algorithm to find HCF of 456 and  84.

10-If one zero of the polynomial p(x) = (a²+9)x²+45x +6a is reciprocal of other, find the value of a.


11. For which value of p does the equations 4x +py +8 = 0 and x + y +1=0 have unique solution.

12. If 7sin²θ + 3cos²θ = 4 then prove that

13. What must be subtracted from the polynomial 4x³+ 5x²–10x +7 so that resulting polynomial is exactly divisible by 2x +5.

14. Find the value of a and b if the following pair of the linear equation has infinite number of solutions.

4x–(a +2)y =b+2, 6x + (1 – 3a)y = b

15. If the sum of the square of the zeroes of the polynomial is 6x² + x +k is 25/36.find the value of k.

16.The altitude AD of ΔABC is drown from the vertex A on BC where ∠A is obtuse . If AD = 10cm, BD =10 cm and CD =10√3cm, find ∠A.

17. State and prove Pythagoras theorem. Also, prove thatΔ ABC is an isosceles triangle with AC =BC, if AB² = 2AC² then ABC is a right triangle.

18. If A,B and C are interior angles of a triangle ABC,prove that

19. Find the mean of the following distribution.


20. Find the mode of the following data.

Class IntervalFrequency

Section D

21. Find the largest positive integer that will divide 100,245 and 343 leaving reminders 4,5 and 7 respectively.

22. Solve the following equations graphically also find the points where the lines meet the x-axis .

x +2y =5

2x + 3y = 4

23.Find all the zeroes  of the polynomial 4x4–2oxᶾ +23x² +5x –6, if two of its zeroes are 2 and 3.

24.In an equilateral ABC, AD is the altitude drawn from A on side BC, Prove that 3AB² = 4AD².

25. For the f0llowing frequency distribution draw a more than type ogive and then determine the median.


26. If the median of the following frequency distribution is 28.5, find values of x and y.


Q27.Sum of the areas of two squares is 468 sq.m, if the difference of their perimeter is 24 m, find the sides of two square.

Q28. If in Δ ABC  AD is median and AM  ⊥BC, then prove that AB² +AC² =2AD²+1/2BC².

Q30. Prove that:

Q31. Prove that √3 is an irrational number, Hence show that 7 + 2√3 is also an irrational number.

NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number SystemChapter 9-Areas of parallelogram and triangles
Chapter 2-PolynomialChapter 10-Circles
Chapter 3- Coordinate GeometryChapter 11-Construction
Chapter 4- Linear equations in two variablesChapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s GeometryChapter 13-Surface Areas and Volumes
Chapter 6-Lines and AnglesChapter 14-Statistics
Chapter 7-TrianglesChapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundingsChapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?Chapter 10- Gravitation
Chapter3- Atoms and MoleculesChapter 11- Work and Energy
Chapter 4-Structure of the AtomChapter 12- Sound
Chapter 5-Fundamental unit of lifeChapter 13-Why do we fall ill ?
Chapter 6- TissuesChapter 14- Natural Resources
Chapter 7- Diversity in living organismChapter 15-Improvement in food resources
Chapter 8- MotionLast years question papers & sample papers

NCERT Solutions for class 10 maths

Chapter 1-Real numberChapter 9-Some application of Trigonometry
Chapter 2-PolynomialChapter 10-Circles
Chapter 3-Linear equationsChapter 11- Construction
Chapter 4- Quadratic equationsChapter 12-Area related to circle
Chapter 5-Arithmetic ProgressionChapter 13-Surface areas and Volume
Chapter 6-TriangleChapter 14-Statistics
Chapter 7- Co-ordinate geometryChapter 15-Probability
Chapter 8-Trigonometry

CBSE Class 10-Question paper of maths 2021 with solutions

CBSE Class 10-Half yearly question paper of maths 2020 with solutions

CBSE Class 10 -Question paper of maths 2020 with solutions

CBSE Class 10-Question paper of maths 2019 with solutions

NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equationsChapter 9- Heredity and Evolution
Chapter 2- Acid, Base and SaltChapter 10- Light reflection and refraction
Chapter 3- Metals and Non-MetalsChapter 11- Human eye and colorful world
Chapter 4- Carbon and its CompoundsChapter 12- Electricity
Chapter 5-Periodic classification of elementsChapter 13-Magnetic effect of electric current
Chapter 6- Life ProcessChapter 14-Sources of Energy
Chapter 7-Control and CoordinationChapter 15-Environment
Chapter 8- How do organisms reproduce?Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-SetsChapter 9-Sequences and Series
Chapter 2- Relations and functionsChapter 10- Straight Lines
Chapter 3- TrigonometryChapter 11-Conic Sections
Chapter 4-Principle of mathematical inductionChapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbersChapter 13- Limits and Derivatives
Chapter 6- Linear InequalitiesChapter 14-Mathematical Reasoning
Chapter 7- Permutations and CombinationsChapter 15- Statistics
Chapter 8- Binomial Theorem Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

CBSE Class 11 – Second unit test of maths 2021 with solutions

NCERT solutions for class 12 maths

Chapter 1-Relations and FunctionsChapter 9-Differential Equations
Chapter 2-Inverse Trigonometric FunctionsChapter 10-Vector Algebra
Chapter 3-MatricesChapter 11 – Three Dimensional Geometry
Chapter 4-DeterminantsChapter 12-Linear Programming
Chapter 5- Continuity and DifferentiabilityChapter 13-Probability
Chapter 6- Application of DerivationCBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

Class 12 Solutions of Maths Latest Sample Paper Published by CBSE for 2021-22 Term 2

Class 12 Maths Important Questions-Application of Integrals

Class 12 Maths Important questions on Chapter 7 Integral with Solutions for term 2 CBSE Board 2021-22

Solutions of Class 12 Maths Question Paper of Preboard -2 Exam Term-2 CBSE Board 2021-22

Solutions of class 12  maths question paper 2021 preboard exam CBSE Solution









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