AP SSC Mathematics Model Papers 2026-27: Class 10 Maths Blueprint and Important Topics

Preparing for the AP SSC Class 10 Mathematics examination requires a clear understanding of formulas, concepts and different question formats. Topics such as algebra, geometry, trigonometry, statistics and probability need regular practice. Without solving sample questions, you may find it difficult to identify areas that need more revision and manage your time effectively during the board examination.

The AP SSC Maths Model Paper 2026-27 helps you practise questions and assess your preparation before the exam. You can solve Model Paper 1 and Model Paper 2 in English or Telugu medium, revise important concepts and improve your problem-solving skills. Refer to the official AP SSC syllabus alongside these papers to ensure your revision covers the prescribed topics.

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AP SSC Mathematics Model Paper 2026-27

Practise the following AP SSC Model Paper 2026-27 questions to revise key concepts, test your problem-solving skills and become familiar with the question pattern for the Class 10 board examination.

SECTION – I (1 Mark Each)

1. Prime factorisation of (156 = a^2 \times b \times c), then (a+b+c=) ______.

2. Create a quadratic polynomial whose one zero is (2+\sqrt{3}).

3. Express (y) in terms of (x) from the equation (3x+5y-11=0).

4. Write any quadratic equation whose roots are reciprocals of each other.

5. Your friend writes the sequence (5, 8, 11, 15, 17) as an A.P. What would you tell your friend?

6. In the figure, (DE \parallel BC), (AD=3\text{ cm}), (BD=4\text{ cm}), and (BC=14\text{ cm}). Find (DE).

• A) (7\text{ cm})

• B) (6\text{ cm})

• C) (4\text{ cm})

• D) (3\text{ cm})

7. Your classmate writes (\cos\theta=\frac{\text{adjacent side to }\theta}{\text{opposite side to }\theta}). Do you agree? If not, state the correct trigonometric ratio.

8. Two students measure the height of a tree. One gets (20\text{ m}) and the other gets (22\text{ m}). What should they do before deciding which answer is correct?

• A) Accept the first answer only

• B) Accept the second answer only

• C) Recheck the measurements and calculations systematically

• D) Ignore both answers

9. Draw a rough sketch of a circle and two lines parallel to a given line such that one is a tangent and the other is a secant to the circle.

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10. If the circumference of a circle and the perimeter of a square are equal, then:

• A) Area of circle = Area of square

• B) Area of circle > Area of square

• C) Area of circle < Area of square

• D) We cannot definitely say anything about the relation between the areas

11. The formula to find the volume of a sphere of radius (r\text{ cm}) is:

• A) (\frac{4}{3}\pi r^2)

• B) (\frac{4}{3}\pi r^3)

• C) (\frac{3}{4}\pi r^3)

• D) (\frac{3}{4}\pi r^2)

12. A friend says that the probability of an event can be (\frac{5}{3}). How would you respond?

• A) Agree, because probability can be any positive value

• B) Politely explain that the probability of an event always lies between (0\leq P(E)\leq1), so it cannot be (\frac{5}{3})

• C) Ignore the friend's opinion

• D) Say the answer is wrong without giving any reason

SECTION – II (2 Marks Each)

13. Write two different linear polynomials in the variable (x), whose zero is (-4).

14. Student 1 says that the length of a rectangular park should be twice its breadth. Student 2 says that the area of the park should be (20\text{ m}^2). Use both students' ideas to determine the length and breadth of the park.

15. State the converse of the Basic Proportionality Theorem.

16. If (\sec\theta+\tan\theta=P), find the value of (\sec\theta) in terms of (P).

17. Draw a figure to represent the following situation: A student observes the top of a tower at an angle of elevation of (45^\circ).

18. A tangent (PQ) at a point of a circle of radius (5\text{ cm}) meets a line through the centre (O) at a point (Q) such that (OQ=12\text{ cm}). Find the length of (PQ).

19. Under what condition will (3x+ky=7) and (6x+4y=14) have exactly one solution? Using this condition, find the value of (k).

20. A point lies 4 units to the left of the (y)-axis and 3 units below the (x)-axis. Many students plotted the point only in the first quadrant. Write the correct coordinates and name the quadrant.

AP SSC Maths Model Paper 2026-27 PDF

Practising the AP SSC Maths Model Paper PDF can help you become familiar with the question format, marks distribution and types of problems included in the Class 10 Mathematics examination. Use the available medium-wise papers for practice and revision.