Class 10 Mathematics FA-3 Model Question Paper 2025–26

(AP SCERT | Formative Assessment-3)

Examination Details

  • Class: X
  • Subject: Mathematics
  • Assessment: FA-3 / Self Assessment-3
  • Time: 2 Hours 30 Minutes
  • Maximum Marks: 35

Section – A

Multiple Choice Questions

(15 × 1 = 15 Marks)

Choose the correct answer.

  1. The value of 2x+52x + 52x+5 when x=3x = 3x=3 is
    A) 8
    B) 10
    C) 11
    D) 13
  2. The zero of the polynomial x4x – 4x−4 is
    A) 0
    B) 4
    C) –4
    D) 1
  3. Which of the following is a quadratic equation?
    A) x+5=0x + 5 = 0x+5=0
    B) x27=0x^2 – 7 = 0x2−7=0
    C) 2x3=02x – 3 = 02x−3=0
    D) x1=5x – 1 = 5x−1=5
  4. The degree of the polynomial 3x2+5x+13x^2 + 5x + 13×2+5x+1 is
    A) 1
    B) 2
    C) 3
    D) 5
  5. The value of 81\sqrt{81}81​ is
    A) –9
    B) 0
    C) 9
    D) 18
  6. The point (–2, 0) lies on
    A) x-axis
    B) y-axis
    C) origin
    D) neither axis
  7. If the radius of a circle is 7 cm, its diameter is
    A) 7 cm
    B) 14 cm
    C) 21 cm
    D) 49 cm
  8. Which of the following is a rational number?
    A) 3\sqrt{3}3​
    B) π\piπ
    C) 58\frac{5}{8}85​
    D) 7\sqrt{7}7​
  9. The area of a triangle with base 6 cm and height 4 cm is
    A) 12 sq cm
    B) 24 sq cm
    C) 10 sq cm
    D) 14 sq cm
  10. If x=5x = 5x=5, then the value of x21x^2 – 1x2−1 is
    A) 20
    B) 24
    C) 25
    D) 26
  11. The additive identity is
    A) 1
    B) –1
    C) 0
    D) 10
  12. The value of 10010^0100 is
    A) 0
    B) 1
    C) 10
    D) –1
  13. A triangle with all angles equal is
    A) scalene
    B) isosceles
    C) equilateral
    D) right-angled
  14. The sum of interior angles of a quadrilateral is
    A) 180°
    B) 270°
    C) 360°
    D) 450°
  15. Which of the following is an integer?
    A) 34\frac{3}{4}43​
    B) –6
    C) 2.5
    D) 2\sqrt{2}2​

Section – B

Very Short Answer Questions

(2 × 2 = 4 Marks)

  1. Find the value of xxx if 3x7=113x – 7 = 113x−7=11.
  2. Write any two properties of real numbers.

Section – C

Short Answer Questions

(2 × 4 = 8 Marks)

  1. Simplify:

(4x+6)(2x3)(4x + 6) – (2x – 3)(4x+6)−(2x−3)

  1. Find the perimeter of a rectangle whose length is 9 cm and breadth is 5 cm.

Section – D

Long Answer Question

(1 × 8 = 8 Marks)

  1. Solve the following equation and verify the solution:

4x+5=3x+124x + 5 = 3x + 124x+5=3x+12


Answer Key (Section – A)

  1. C
  2. B
  3. B
  4. B
  5. C
  6. A
  7. B
  8. C
  9. A
  10. B
  11. C
  12. B
  13. C
  14. C
  15. B

Sections B, C, D:
Marks should be awarded based on correct steps and final answer as per FA-3 guidelines.