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 question paper of maths 2019, it will help the students in understanding about 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, we will provide you a link in which you study all the 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’

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.

SectionC

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

${\color{DarkGreen} \mathbf{sec\Theta +cosec\Theta =2 + \frac{2}{\sqrt{3}}}}$

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

${\color{DarkGreen} \mathbf{\frac{cos\frac{B+C}{2}cos\frac{C+A}{2}cos\frac{A+B}{2}}{sin\frac{A}{2}sin\frac{B}{2}sin\frac{C}{2}}=1}}$

19. Find the mean of the following distribution.

Class	Frequency
0─20	5
20─40	8
40─60	10
60─80	12
80─100	7
100─120	8

20. Find the mode of the following data.

Class Interval	Frequency
10─20	7
20─30	12
30─40	20
40─50	11
50─60	8

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.

Measurements	0─10	10─20	20─30	30─40	40─50	50─60
Frequency	8	12	21	30	22	7

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

Measurements	0─10	10─20	20─30	30─40	40─50	50─60	Total
Frequency	5	x	20	15	y	5	60

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.

$\mathbf{{\color{DarkGreen} Q29}.}{\color{DarkGreen} \mathbf{If \; sec\Theta +tan\Theta =p, show\; that\; sec\Theta -tan\Theta =\frac{1}{p}.Hence \; find \; the\; value\; of\; sin\Theta \; and\; cos\Theta }}$

Q30. Prove that:

$\mathbf{{\color{DarkGreen} \left ( cosec\Theta +cot\Theta \right )^{2}= \frac{sec\Theta +1}{sec\Theta -1}}}$

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 of class 9 maths

Chapter 1- Number System	Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3- Coordinate Geometry	Chapter 11-Construction
Chapter 4- Linear equations in two variables	Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry	Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles	Chapter 14-Statistics
Chapter 7-Triangles	Chapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions of class 9 science

Chapter 1-Matter in our surroundings	Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?	Chapter 10- Gravitation
Chapter3- Atoms and Molecules	Chapter 11- Work and Energy
Chapter 4-Structure of the Atom	Chapter 12- Sound
Chapter 5-Fundamental unit of life	Chapter 13-Why do we fall ill ?
Chapter 6- Tissues	Chapter 14- Natural Resources
Chapter 7- Diversity in living organism	Chapter 15-Improvement in food resources
Chapter 8- Motion	Last years question papers & sample papers

CBSE Class 9-Question paper of science 2020 with solutions

CBSE Class 9-Sample paper of science

CBSE Class 9-Unsolved question paper of science 2019

NCERT Solutions of class 10 maths

Chapter 1-Real number	Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3-Linear equations	Chapter 11- Construction
Chapter 4- Quadratic equations	Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression	Chapter 13-Surface areas and Volume
Chapter 6-Triangle	Chapter 14-Statistics
Chapter 7- Co-ordinate geometry	Chapter 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 of class 10 science

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

Solutions of class 10 last years Science question papers

CBSE Class 10 – Question paper of science 2020 with solutions

CBSE class 10 -Latest sample paper of science

NCERT solutions of class 11 maths

Chapter 1-Sets	Chapter 9-Sequences and Series
Chapter 2- Relations and functions	Chapter 10- Straight Lines
Chapter 3- Trigonometry	Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction	Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers	Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities	Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations	Chapter 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

Study notes of Maths and Science NCERT and CBSE from class 9 to 12

NCERT solutions of class 12 maths

Chapter 1-Relations and Functions	Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions	Chapter 10-Vector Algebra
Chapter 3-Matrices	Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants	Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability	Chapter 13-Probability
Chapter 6- Application of Derivation	CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

CLASS X TH CBSE Math SA-1 ASSIGNMENT2019