AP FA-2 Maths Answer Key 2025 – Class 1 to 9 All Classes Solutions & Marks Guide

 AP FA-2 Maths Answer Key 2025 – Class 1 to 9 All Classes Solutions & Marks Guide. 

AP FA-2 Maths Answer Key 2025 – Classes 1 to 9 | All Objective & Subjective Solutions

Welcome to the AP FA-2 Maths Answer Key 2025 guide. Here, you can find class-wise objective answers (MCQs) and subjective question rubrics for Classes 1 to 9. This comprehensive solution helps students, teachers, and parents prepare effectively for the FA-2 examinations.

🏫 Maths – Grade 1 Answer Key

AP FA-2 Maths Answer Key

✅ Objective Questions

Q. No.	Correct Answer
1	A
2	B
3	A
4	B
5	C
6	B
7	C
8	C
9	C
10	B

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✍️ Rubrics for Subjective Questions

Q. No.	Rubric / Full Answer
11	3 Marks: All three parts correct and visually match the flowers. 2 Marks: Any two parts correct. 1 Mark: One part correct or partial understanding.
12	3 Marks: Counts and writes all three numbers correctly. 2 Marks: Any two numbers correct. 1 Mark: One correct or partial attempt.
13	3 Marks: All three answers correct with correct spelling and numerals. 2 Marks: Two correct. 1 Mark: One correct.
14	3 Marks: All three answers correct. 2 Marks: Two correct. 1 Mark: One correct.
15	3 Marks: Fully correct solution. 1 Mark: Attempted with mistakes.

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🏫 Maths – Grade 2 Answer Key

✅ Objective Questions

Q. No.	Correct Answer
1	A
2	A
3	B
4	B
5	B
6	C
7	B
8	B
9	C
10	B

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✍️ Rubrics for Subjective Questions

Q. No.	Rubric / Full Answer
11	3 Marks: 3 valid number sentences using 12, 5, 7 (addition & subtraction). 2 Marks: Two correct. 1 Mark: One correct.
12	3 Marks: Forms 3 two-digit numbers below 55 using 4, 5, 6. 2 Marks: Two correct. 1 Mark: One correct.
13	3 Marks: Subtraction identified, calculation correct. 2 Marks: Minor calculation error. 1 Mark: Some understanding shown.
14	3 Marks: Finds both prices and total correctly. 2 Marks: One error. 1 Mark: Correct prices but wrong operation.
15	3 Marks: Identifies all 8 numbers with '3' in tens place. 2 Marks: 5–6 correct. 1 Mark: 3–4 correct.

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🏫 Maths – Grade 3 Answer Key

✅ Objective Questions

Q. No.	Correct Answer	Q. No.	Correct Answer
1	B	9	A
2	D	10	C
3	B	11	C
4	C	12	A
5	B	13	B
6	B	14	C
7	B	15	D
8	C

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✍️ Rubrics for Subjective Questions

Q. No.	Rubric / Full Answer
16	2 Marks: Writes both numbers (4364, 2092). 1 Mark: One correct.
17	2 Marks: Writes < and > correctly. 1 Mark: One correct.
18	4 Marks: Fills all boxes correctly. 3 Marks: Three correct. 2 Marks: Two correct. 1 Mark: One correct.
19	4 Marks: Writes all four numbers in words. 3 Marks: Minor mistakes or 3 correct. 2 Marks: Two correct. 1 Mark: One correct.
20	4 Marks: All answers correct. 3 Marks: One part partially correct. 2 Marks: One part correct. 1 Mark: Partial attempt.
21	4 Marks: Correct addition and final answer. 3 Marks: Minor mistake. 2 Marks: Correct statement only. 1 Mark: Attempt shown.

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🏫 Maths – Grade 4 Answer Key

✅ Objective Questions

Q. No.	Correct Answer	Q. No.	Correct Answer
1	C	9	D
2	A	10	B
3	A	11	C
4	B	12	D
5	D	13	B
6	D	14	B
7	A	15	C
8	C

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✍️ Rubrics for Subjective Questions

Q. No.	Rubric / Full Answer
16	2 Marks: Shows correct calculation of Lakshmi’s income: 15,400 + 4,600 = 20,000.
17	2 Marks: Correct subtraction: 17,500 – 14,750 = 2,750.
18	4 Marks: Correct answers filled in boxes.

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🏫 Maths – Grade 5 Answer Key

✅ Objective Questions

Q. No.	Correct Answer	Q. No.	Correct Answer	Q. No.	Correct Answer
1	B	6	C	11	B
2	B	7	A	12	A
3	C	8	C	13	B
4	D	9	B	14	C
5	D	10	B	15	D

🏫 Maths – Grade 6 Answer Key

✅ Objective Questions (MCQs)

Q. No.	Correct Answer	Q. No.	Correct Answer	Q. No.	Correct Answer
1	A	6	C	11	D
2	A	7	C	12	B
3	C	8	A	13	D
4	C	9	B	14	D
5	D	10	D	15	B

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✍️ Rubrics for Subjective Questions

Q. No.	Marks	Rubric / Full Answer
16	2	✅ Convert 5 m to 500 cm (½ M), add 500 + 75 = 575 cm (½ M), divide 575 ÷ 25 = 23 packages (1 M).
17	2	✅ Last two digits: 51 (½ M), not divisible by 4 (½ M), nearest multiple: 52 (½ M), must add 1 (½ M).
18	4	✅ HCF of 150, 210, 270. Prime factors shown correctly (3 M). Final HCF: 2 × 3 × 5 = 30 (½ M).
19	4	✅ a) Total weight: 625 × 20 = 12,500 kg (1 M). Loads: 12,500 ÷ 2500 = 5 (1 M). b) Cost for 24 chairs: 24 × 1250 = ₹30,000 (1 M). Ravi can buy: 25,000 ÷ 1250 = 20 chairs (1 M).
20	8	✅ Option 1 (Calculation): a) Total cost: ₹48,000 (2 M). Money left: ₹30,592 (2 M). b) Difference: 9 (1 M), multiplication: 7236 × 9 = 65,124 (2 M), student’s answer greater by ₹65,124 (1 M). ✅ Option 2 (Number Line): Draw number line (1 M), show jumps (2 M), final position (1 M) – both parts total 8 marks.

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🏫 Maths – Grade 7 Answer Key

✅ Objective Questions (MCQs)

Q. No.	Correct Answer	Q. No.	Correct Answer	Q. No.	Correct Answer
1	A	6	B	11	A
2	C	7	B	12	C
3	B	8	C	13	B
4	B	9	D	14	A
5	A	10	B	15	C

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✍️ Rubrics for Subjective Questions

Q. No.	Marks	Rubric / Full Answer
16	2	✅ ∠BAC = 90° (½ M). Exterior angle = sum of opposite interior angles (½ M). Equation: 90° + y = 128° (½ M). Solve y = 38° (½ M).
17	2	✅ Identify same-side interior angles ∠pqs = 72° and ∠rsq = 108° (1 M). Sum = 180° (½ M). Conclusion: pq ∥ rs (½ M).
18	4	✅ a) 5x + 40 = 190 (1 M). b) Solve: x = 30 (1 M). c) y + 4y + 30 = 250 (1 M). Raj’s earning: ₹44, Ravi’s ₹206 (1 M).
19	4	✅ a) ∠c = 80° (vertically opposite) (1 M). b) ∠a = 80° (alternate interior) (1 M). c) ∠b = 80° (corresponding) (1 M). d) ∠d = 100° (supplementary) (1 M).
20	8	✅ Option 1 – Visitors Bar Graph: Axes, labels, scale (1 M), bars drawn (3 M), pairs (1 M), average 137 (1 M), minimum day (1 M), difference 105 (1 M). ✅ Option 2 – Double Bar Graph: Axes, labels (1 M), bars (4 M), max increase (1 M), decreased sales (1 M), explanation (1 M).

 Grade 8 – Mathematics Answer Key (2025)

Below is the complete Answer Key and Rubrics for Grade 8 Mathematics assessment. The table includes objective answers (Q. No. 1 to 15) and detailed marking rubrics for descriptive questions (Q. No. 16 to 20).

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🧠 Multiple Choice Answer Key (Q. No. 1–15)

Q. No.	Correct Answer
1	D
2	D
3	B
4	D
5	C
6	C
7	C
8	A
9	B
10	A
11	C
12	A
13	A
14	B
15	A

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📊 Descriptive Questions – Detailed Rubrics

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Q.16 – Consecutive Odd Numbers – Total = 181

Marking Scheme:

• ✅ Full Marks: All steps correct

• Steps:

1. Identifies sequence as consecutive odd numbers – (0.5 M)

2. Recalls correct formula for sum of odd numbers – (0.5 M)

3. Calculates correctly: n=10 → 10² = 100, n=9 → 9² = 81 – (0.5 M)

4. Final Answer: 10² + 9² = 181 – (0.5 M)

• Partial Marks:
• 3 correct steps – 1.5 M
• 2 correct steps – 1 M
• 1 correct step or final answer – 0.5 M
• None correct – 0 M

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Q.17 – Cube Root of 1728

Marking Scheme:

• ✅ Full Marks (2M): All steps correct

• Steps:

1. Prime factorization: 1728 = 2⁶ × 3³ – (0.5 M)

2. Grouping: (2³)² × (3³) – (0.5 M)

3. Cube root: 2 × 2 × 3 – (0.5 M)

4. Final Answer: 12 – (0.5 M)

• Partial Marks:
• 3 steps – 1.5 M
• 2 steps – 1 M
• 1 step – 0.5 M
• All incorrect – 0 M

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Q.18 – Perfect Square Problem

Marking Scheme:

• ✅ Full Marks (4M): All steps correct

• Steps:

  1. 784 = 28 × 28 – (1 M)

  2. New total: 784 + 18 = 802 – (1 M)

  3. Next perfect square: 841 (29 × 29) – (1 M)

  4. Additional students needed: 841 – 802 = 39 – (1 M)

• Partial Marks:
• 3 steps – 3 M
• 2 steps – 2 M
• 1 step – 1 M
• All incorrect – 0 M

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Q.19 – Percentage and Cost Calculation

Marking Scheme:

• ✅ Full Marks (4M): All steps correct

• Steps:

1. Identifies equal categories (20%) – (1 M)

2. Adds remaining categories: 25% + 15% = 40% – (1 M)

3. Calculates total: 50,000 × 100 ÷ 20 = 2,50,000 – (1 M)

4. Calculates 10% of 2,50,000 = 25,000 – (1 M)

• Partial Marks:
• 3 steps – 3 M
• 2 steps – 2 M
• 1 step – 1 M
• All incorrect – 0 M

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Q.20A – Bar Graph Analysis (Mobile Shipments)

Marking Scheme:

• ✅ Full Marks: All steps correct

• Steps:

1. Bar graph drawn with correct title, labels, scale – (3 M)

2. Highest: Samsung (58.0 million), Lowest: Oppo (25.1 million) – (2 M)

3. Difference: 58.0 – 25.1 = 32.9 million – (2 M)

4. Total shipments: 58.0 + 46.4 + 42.5 + 27.1 + 25.1 = 199.1 million – (2 M)

• Partial Marks:
• 3 steps – 3.5 M
• 2 steps – 2.5 M
• 1 step (with mistake) – 1.5 M
• All incorrect – 0 M

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Q.20B – Bar Graph (Movie Tickets)

Marking Scheme:

• ✅ Full Marks: All steps correct

• Steps:

1. Bar graph drawn correctly (2 M)

2. Highest month: September – 12,000 tickets (2 M)

3. Total tickets: 4,000 + 6,000 + 10,000 + 12,000 + 8,000 = 40,000 (2 M)

4. Adjustments: July – 5,600; October – 11,200 (2 M)

• Partial Marks:
• 3 steps – 3.5 M
• 2 steps – 2.5 M
• 1 step (with mistake) – 1.5 M
• All incorrect – 0 M

 Grade 9 – Mathematics Answer Key (2025)

This post provides the Grade 9 Mathematics Answer Key and Marking Rubrics for the academic year 2025–26. It includes the multiple-choice answer key (Q. No. 1–15) and detailed marking rubrics for descriptive questions (Q. No. 16–20) as per the evaluation guidelines.

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🧠 Multiple Choice Answer Key (Q. No. 1–15)

Q. No.	Correct Answer
1	C
2	C
3	C
4	B
5	D
6	C
7	A
8	A
9	B
10	B
11	C
12	B
13	A
14	A
15	D

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📊 Descriptive Questions – Detailed Rubrics

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Q.16 – Angles with Parallel Lines

Marking Scheme:

• ✅ Full Marks: All steps correct

• Steps:

1. Identifies that PQ, RS, TU are parallel and uses the transversal property: $x + y = 180^\circ$, with $x = 3k$, $y = 2k$ – (1 M)

2. Calculates $5k = 180^\circ$, so $k = 36^\circ$, then $x = 3k = 108^\circ$ – (1 M)

• Partial Marks:
• 1 step correct – 1 M
• All incorrect – 0 M

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Q.17 – Linear Equations Formation

Marking Scheme:

• ✅ Full Marks: All steps correct

• Steps:

1. Defines variables: cost of a pen = x, cost of a book = y – (1 M)

2. Forms the equation: $4x + 3y = 100$ – (1 M)

• Partial Marks:
• 1 step correct – 1 M
• All incorrect – 0 M

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Q.18 – Euclid’s Postulates

Marking Scheme:

• ✅ Full Marks (4 M): All 4 postulates written with diagrams

• Postulates:

1. A straight line may be drawn from any one point to any other point.

2. A terminated line can be produced indefinitely in both directions.

3. A circle can be drawn with any centre and radius.

4. All right angles are equal to one another.

• Partial Marks:
• 4 correct (no diagram) OR 3 correct with diagram – 3 M
• 2 correct – 2 M
• 1 correct – 1 M
• None – 0 M

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Q.19 – Solutions of Linear Equation

Marking Scheme:

• ✅ Full Marks (4 M): All substitutions verified correctly

• Steps:

1. Substitutes (2,1): $3×2 - 1 = 5$ – correct ✔

2. Substitutes (3,4): $3×3 - 4 = 5$ – correct ✔

3. Substitutes (0,-5): $3×0 - (-5) = 5$ – correct ✔

4. Substitutes (4,7): $3×4 - 7 = 5$ – correct ✔

• Partial Marks:
• 3 steps – 3 M
• 2 steps – 2 M
• 1 step – 1 M
• None – 0 M

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Q.20A – Geometry: Angle Calculation

Marking Scheme:

• ✅ Full Marks: All steps correct

Part (a):

1. $∠KOF = 90^\circ$, split into p and q. $p + q = 90^\circ$

2. Using ratio $p : q = 4 : 5$, let $p = 4x$, $q = 5x$

3. Solve: $4x + 5x = 90^\circ$, $x = 10^\circ$, $p = 40^\circ$, $q = 50^\circ$

4. Linear pair property: $r = 180^\circ - p = 140^\circ$

Part (b):

1. Given $a + b = c + d$

2. $a + b + c + d = 360^\circ$

3. $2(a + b) = 360^\circ$

4. $a + b = 180^\circ$

• Partial Marks:
• 3 steps – 3 M
• 2 steps – 2 M
• 1 step – 1 M
• All incorrect – 0 M

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Q.20B – Coordinates & Points

Marking Scheme:

• ✅ Full Marks (8 M): All answers correct

Answers:

1. Coordinates of A: (4, 7)

2. Coordinates of C: (-3, 3)

3. Abscissa of B: -6

4. Ordinate of D: -2

5. Point on x-axis: (7, 0)

6. Point on y-axis: (0, -5)

7. Point (−8, 5): H

8. Point (−4, 3): G

• Partial Marks:
• 7 correct – 7 M
• 6 correct – 6 M
• 5 correct – 5 M
• 4 correct – 4 M
• 3 correct – 3 M
• 2 correct – 2 M
• 1 correct – 1 M
• None – 0 M

📘 AP FA2 Answer Key 2025-26 – All Subjects (Classes 1 to 10)

Class	Telugu	English	Maths	EVS / Science	Social Studies	Hindi
Class 1	📄 Download	📄 Download	📄 Download	📄 Download	–	–
Class 2	📄 Download	📄 Download	📄 Download	📄 Download	–	–
Class 3	📄 Download	📄 Download	📄 Download	📄 Download	–	–
Class 4	📄 Download	📄 Download	📄 Download	📄 Download	–	–
Class 5	📄 Download	📄 Download	📄 Download	📄 Download	–	–
Class 6	📄 Download	📄 Download	📄 Download	📄 Science	📄 Social	📄 Download
Class 7	📄 Download	📄 Download	📄 Download	📄 Science	📄 Social	📄 Download
Class 8	📄 Download	📄 Download	📄 Download	📄 Science	📄 Social	📄 Download
Class 9	📄 Download	📄 Download	📄 Download	📄 Science	📄 Social	📄 Download
Class 10	📄 Download	📄 Download	📄 Download	📄 Science	📄 Social	📄 Download