CBSE Class 9 Maths & Science Important questions with solutions for Annual Exam 2020
Maths and Science are the subjects which demands continuous practice from students. A good question bank acts as good source of practice to excel in these two subjects. Therefore, to help students of CBSE Class 9 in making easy and quick revisions for the annual exam, we bring here a collection of most important questions from CBSE Class 9 Maths and Science subjects.
All the questions given here are prepared after carrying a thorough analysis of the past year exam trends and the latest examination pattern. Questions have been picked from all important topics of Class 9 Maths and Science. All these questions are thoroughly solved which again comes as a great advantage to learn more in a short time.
Some prominent features of the set of important questions given here are:
- Questions have been provided to cover the complete syllabus
- Follows the latest format of examination
- Separate questions have been prepared for the various sections of paper
- All the questions are provided with step-wise solutions which are easy to understand
CBSE Class 9 Mathematics Important Questions for Annual Exam 2020:
In Class 9 Mathematics Exam, there will be four sections:
Section-A will be comprised of 1 mark questions (20 questions) |
Section-B will be comprised of 2 marks questions (6 questions) |
Section-C will be comprised of 3 marks questions (8 questions) |
Section-D comprised of 4 marks questions (6 questions) |
Some sample questions from the set of important questions of class 9 Mathematics are:
Q. If the graph of equation 2x + ky = 10k, intersect x-axis at point (2, 0) then find value of k.
Sol.
Here, 2x + ky = 10k ...(i)
At point (2, 0), equation (i) becomes:
2(2) + k(0) = 10k
⟹ 4 = 10k
⟹ k = 10/4 = 0.4
CBSE Class 9 Maths, Science, English, Hindi and Social Science Question Papers
Q. A batsman in his 11th innings makes a score of 68 runs and there by increases his average score by 2. What is his average score after the 11th innings?
Sol.
Let the average score of 11 innings be x.
Then the average score of 10 innings = x – 2
Total score of 11 innings = 11x
Total score of 10 innings = 10(x – 2) = 10x – 20
Score of the 11th innings = Total score of 11 innings – Total score of 10 innings
= 11x – (10x – 20)
But x + 20x + 20 = 68 (Given )
⟹ x = 48
Hence, the average score after the 11th innings is 48.
Q. If a + b + c = 6 and ab + bc + ca = 11, find the value of a^{3 }+b^{3 }+c^{3 }− 3abc.
Sol.
(a + b + c)^{2} = a^{2 }+ b^{2} +c^{2} +2(ab + bc + ca)
(6)^{2 }= a^{2 }+ b^{2} +c^{2} + 2 × 11
a^{2 }+ b^{2} +c^{2} = 36 – 22 = 14
a^{3 }+b^{3 }+c^{3 }− 3abc =( a + b + c)[ a^{2 }+ b^{2} +c^{2} −(ab + bc + ca)]
= 6 × (14 − 11) = 6 × 3 = 18
Get the complete set of questions from the following link:
CBSE Class 9 Syllabus for Annual Exam 2020: All Subjects
CBSE Class 9 Science Important Questions for Annual Exam 2020:
In class 9 Science exam, there will be three sections consisting of 30 questions of different weightages:
Section- A |
14 questions of 1 mark each |
Section- B |
10 questions of 3 marks each |
Section- C |
6 questions of 5 marks each |
Some sample questions from the set of important questions for class 9 Science are:
Q. What is role of tissues present in multi-cellular organisms?
Ans.
The formation of tissues is important in multi-cellular organisms as :
(i) Grouping of cells and performing a single function by the group shows division of labour.
(ii) Tissues combine to form organ, organ to organ system and organ systems to organisms.
(iii) Due to improved organisation and higher efficacy organisms have high survival rate.
Q. (a) What happens to the buoyant force as more and more volume of a solid object is immersed in a liquid? When does the buoyant force become maximum?
(b)Define buoyant force. Name two factors on which buoyant force depends.
Ans.
(a) The buoyant or upthrust force increases as more and more volume of a solid object is immersed in a liquid. When object is fully immersed in water the buoyant force becomes maximum.
(b)Fluid applies an upward force on a solid which is partially or fully submerged in liquid. This phenomenon is called buoyancy (Upthrust) and applied upward force is called buoyant force.
Two factors on which buoyant force depends:
• Volume or shape of object.
• Density of fluid in which object is immersed.
Q. In which of the two, glycerine or kerosene, the loss in weight of a solid when fully immersed in them will be more and why ?
Ans.
Density of glycerine is more than that of kerosene.
A liquid having higher density exerts more upthrust force on object than other liquid having low density. Thus, greater the density of a liquid, the more will be the the buoyant force exerted on the object immersed in it. Now, due to this greater upthrust (buyont force), the object experiences greater apparent weight loss.
Thus in case of glycerine, the loss in weight of a solid when fully immersed in it will be more than when immersed in kerosene.
Get the complete set of questions from the following link:
Practicing all the important questions given here will help students make a quick and effective preparation for their CBSE Class 9 Exam 2020.
Students may also check the following links to explore more stuff, important for CBSE Class 9 Annual exam preparations: