**AP 10th Maths Fa1 Question paper 2023, AP 10th Fa1 Model Paper PDF, 10th class Maths Fa1 Question paper 2023**

**Introduction**

Welcome to the world of AP Class 10 Mathematics! In this article, we will explore the topic of FA1 (Formative Assessment 1) questions and their solutions for the year 2023. FA1 is an integral part of the AP Class 10 Mathematics curriculum, designed to assess students’ understanding and knowledge of the subject. We will delve into the details of FA1 questions and provide comprehensive solutions to help you excel in your studies. So, let’s get started!

**1. What is FA1?**

FA1, also known as Formative Assessment 1, is an assessment conducted during the academic year to evaluate students’ understanding of the concepts taught in their Mathematics course. It is designed to provide feedback to both students and teachers, highlighting areas of strength and areas that need improvement.

**2. Importance of FA1 in AP Class 10 Maths**

FA1 plays a crucial role in the learning process of AP Class 10 Mathematics. It allows students to identify their strengths and weaknesses in different topics, enabling them to focus on areas that require additional attention. FA1 also helps teachers gauge the effectiveness of their teaching methods and make necessary adjustments to enhance student learning outcomes.

**3. Types of Questions in FA1**

FA1 questions in AP Class 10 Maths can vary in their format and complexity. They may include multiple-choice questions, short answer questions, problem-solving questions, and application-based questions. These questions are carefully designed to assess students’ comprehension, analytical skills, and problem-solving abilities.

**FORMATIVE ASSESSMENT -I (2023-24) MATHEMATICS**

**
**

**(English Medium)**

**Class: X (Max. Marks: 20) Time: 60mins**

1 . Choose the correct answer from the given four options in the following questions 1×5 = 5

1. Q ∪ Q¹=

(A)R

(B)Z

(C) W

(D)N

2. Number of solutions for a linear equation in two variable is =

(A) 0

(B) 1

(C) 2

(D) many

3. A= { 1,2,3 } then subsets of A are

(A) 3 (B) 8 (C) 9 (D) 6

Ans. 9

4. If A ⊂ B then A ∩ B =

(A) A

(B) B

(C) ϕ

(D) μ

5. Sign of Empty set is

(A) Ø (Β) μ (C) {} (D) A and C

Ans. ϕ

II. Fill in the blanks with suitable answers

6. A ⊂ B then A ∩ B= **A**

7. IfA and B are disjoint sets then A ∩ B= **ϕ**

8. Cardinal number of the empty set is **0**

9. A = {1, 2, 3} , B = ϕ then A ∩ B =** ϕ **

10. A ∩ ϕ =** ϕ **

III. Answer the following questions.

1. Rationalise 1/(3 + √2)

To rationalize 1/(3 + √2), we multiply numerator and denominator by the conjugate of the denominator, which is 3 – √2. This gives us:

1/(3 + √2) × (3 – √2)/(3 – √2)

= (3 – √2)/(9 – 2)

= 3 – √2/7

2. A = {1, 2, 3, 4, 5, 6} B = {1, 3, 5, 7, 9} then Find

(1) A ∪ B

(2) A ∩ B

(1) A ∪ B = {1, 2, 3, 4, 5, 6, 7, 9}

(2) A ∩ B = {1, 3, 5}

3. Write the following from roster form to set builder form

A = {2, 3, 5, 7, 11, 13}

B = {4, 6, 8, 10, 12}

A = {x € N : x is prime and 2 < x < 14}

B = {x € N : x is even and 4 < x < 13}

IV. Answer any one question

4. A = {2, 4, 6, 8, 10} B = {2, 3, 4, 5, 6, 7 } C = {2, 3, 5, 7, 11} then find

(i) A – B

(ii) B-C

(iii) A -(B ∩ C)

(iv) A ∩ B

(i) A – B = {6, 8, 10}

(ii) B-C = {2, 4, 6, 7}

(iii) A -(B ∩ C) = {8, 10}

(iv) A ∩ B = {2, 4, 6}

5. A={ x : x is a natural number},

B= { x : x is an even number}

C = {x : x is an odd number},

D= {x : x is an prime number} then find the following

i) A ∩ B

ii) A ∩ C

iii) B ∩ C

iv) C ∩ D

i) A ∩ B = {2, 4, 6, 8, 10}

ii) A ∩ C = {1, 3, 5, 7, 9}

iii) B ∩ C = {2, 4, 6}

iv) C ∩ D = {2, 3, 5, 7}

**Conclusion **

By following the steps mentioned above, we simplified the given algebraic expression (3x + 5y) – (2x – 4y) to the final expression x + 9y. Remember to practice similar problems to strengthen your algebraic simplification skills.

**FAQs (Frequently Asked Questions)**

FAQ 1: How can I prepare for FA1 in AP Class 10 Maths?

To prepare for FA1, it is essential to thoroughly understand the concepts covered in your AP Class 10 Mathematics curriculum. Review your class notes, solve practice problems, and seek clarification from your teacher if needed. Additionally, referring to sample papers and previous year question papers can help you become familiar with the exam pattern.

FAQ 2: Are the FA1 questions the same every year?

No, the FA1 questions may vary from year to year. The purpose of FA1 is to assess your understanding of the current year’s curriculum, so the questions are tailored accordingly.