AP 9th Fa1 Maths Answer key 2023, Class 9 Fa1 Maths Solution Key, AP Class 9 CBA1 FA1 Answer key

Parmeshwari Mam
7 Min Read

AP 9th Fa1 Maths Answer key 2023, Class 9 Fa1 Maths Solution Key, AP Class 9 CBA1 FA1 Answer key



1. Introduction to FA1 Assessment


Formative Assessment 1 (FA1) is a crucial evaluation conducted by the Andhra Pradesh Board for Class 9 students. It is designed to assess the students’ understanding of the mathematical concepts taught during the initial part of the academic year. FA1 plays a vital role in identifying the strengths and weaknesses of students, providing valuable feedback for both teachers and learners.

2. Syllabus Covered in AP Class 9 Maths FA1

The syllabus for AP Class 9 Maths FA1 covers various topics, including:

Number system
polynomials

It is essential for students to have a thorough understanding of these topics to perform well in the FA1 assessment.

3. Question Paper Pattern

The AP Class 9 Maths FA1 question paper consists of a variety of questions, including multiple-choice, short answer, and long answer questions.

FORMATIVE ASSESSMENT -I (2023-24)
MATHEMATICS
(English Medium)
Class: IX
(Max. Marks: 20)                   Time: 60mins

I. Choose the correct answer.   5 × 1 = 5

1. Decimal value of 1/2

(a) 0.4 (b) 0.5

(c) 0.3 (d) 0.2

Ans. 0.5



2. (a + √b) (a-√b) =
(a) a ² – b ²
(b) a – b ²
(c) a² – b
(d) a – b

Ans.  a ² – b



3. Rationalising factor of √5
(a) √5
(b) √4
(c) 5√5
(d) 5 
Ans. 5

4. a ⁰  = ……
(a) 0
(b) 1
(c) a
(d) -1

Ans. 1 


5. ⁿ√a =
(a) a ¹/n
(b) a ⁿ
(c) a ⁻ ¹/n
(d) a
Ans. a ¹/n

II. Fill in the blanks 5 × 1 = 5

6. Express 15.4 in p / q form …….

Ans. 154/10 = 77/5 

7. Rationalising factor of √2+√3 is …….
Ans. √2 – √3  

8. (√a+√b) (√a-√b) ………..
Ans. a-b 

9. (64 ) ¹/⁶ …..
Ans. 2 
5. One Rational number between 3 and 4 ……

Ans. 3.5 
Answer the following quesions 3×2 = 6

11. Represent 5/3 : and – 5/3 on the nuber line 

     


12. Find the value of √2 upto 3 decimal places

   

     



13. Rationalise the denominator of 1/(4 + √5)

Solution . To rationalize the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator. In this case, we multiply by 4 – √5:


1/(4 + √5) × (4 – √5)/(4 – √5)
(1 × (4 – √5))/(4 × (4 – √5) + √5 × (4 – √5))

(4 – √5)/(16 – 4√5 + 4√5 – 5)
(4 – √5)/(16 – 5)

(4 – √5)/11

So, the rationalized form of 1/(4 + √5) is (4 – √5)/11.

IV. Answer the following questions 1×4=4

14. (a) Visualise 2.874 on the number line using sucessive Magnification.

   

(OR)

(b) If a, b are Rational numbers. Find the values of a and b in the equation

√5 + √3 / 2 √5 – 3 √3 = a – b √15

Solution . To find the values of the rational numbers a and b in the equation:


(√5 + √3) / (2√5 – 3√3) = a – b√15

[ (√5 + √3) × (2√5 + 3√3) ] / [ (2√5 – 3√3) × (2√5 + 3√3) ]


[ (√5 × 2√5) + (√5 × 3√3) + (√3 × 2√5) + (√3 × 3√3) ] / [ (2√5 × 2√5) + (2√5 × 3√3) – (3√3 × 2√5) – (3√3 × 3√3) ]


[ 2√25 + 3√15 + 2√15 + 3√9 ] / [ 4×5 + 6√15 – 6√15 – 9×3 ]


[ 2√25 + 3√15 + 2√15 + 3√9 ] / [ 20 – 27 ]

[ 2× 5 + 3√15 + 2√15 + 3× 3 ] / [ -7 ]

[ 10 + 3√15 + 2√15 + 9 ] / [ -7 ]
[ 19 + 5√15 ] / [ -7 ]

Comparing this to the right-hand side of the equation, a – b√15, we can see that:

a = 19
b = 5

Therefore, the values of a and b in the equation (√5 + √3) / (2√5 – 3√3) = a – b√15 are a = 19 and b = 5.

4. Conclusion

In this article, we explored the AP Class 9 Maths FA1 question paper for the year 2023. We discussed the syllabus covered in the assessment, the question paper pattern, and provided sample questions with detailed solutions. It is crucial for students to practice these types of questions to enhance their problem-solving skills and perform well in the FA1 examination.

FAQs (Frequently Asked Questions)

FAQ 1: How should I prepare for the AP Class 9 Maths FA1 assessment?

Preparing for the AP Class 9 Maths FA1 assessment requires a comprehensive understanding of the syllabus. Make sure to review all the topics covered in the curriculum and practice solving different types of questions. Additionally, referring to previous years’ question papers and seeking guidance from your teachers can be beneficial.

FAQ 2: Is it necessary to show all the steps while solving the problems in the FA1 exam?

Yes, it is essential to show all the steps and provide a clear explanation while solving mathematical problems in the FA1 exam. This helps the examiner understand your approach and ensures that you receive the appropriate credit for your efforts.

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