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AP Intermediate Mathematics Important Questions 2026 can help you to prepare for the final exam, because when you start solving these questions, you will get a better understanding of the approach required to answer the question. Your knowledge of formulas and concepts can also be evaluated with regular practice of important questions. The AP Inter Mathematics question paper is divided into two papers. Once you complete the AP Intermediate Mathematics Syllabus 2025-26 , you can start solving these important questions picked from both papers of AP Inter Math. The important questions provided here consist of different sections based on the marks allotted in the final question paper. You can find very short answer-type questions for 2 marks each, followed by short answer-type questions for 4 marks each, and lastly, you can also find long answer-type questions for 7 marks each. Start solving the AP Intermediate Mathematics Important Questions 2026 added below.
AP Intermediate Mathematics Important Questions 2026 for 2 Marks
In the first section of the question paper, you will find very short answer-type questions for 2 marks each. There will be 10 very short-answer type questions included in the question paper, so make sure to answer each of them. You can refer to some important questions for 2 marks below:
Question 1: Find the equation of the circle whose endpoints of a diameter are (4, 2), (1, 5).
Question 2: Simplify -2i(3+1) (2+4(1+i) and obtain the modulus of that complex number.
Question 3: If the eccentricity of a hyperbola is 5/4, then find the eccentricity of its conjugate hyperbola.
Question 4: y+acos(nx + b);(a,b) From the differential equations of a curve, where a,b are parameters.
Question 5: Find the number of positive divisors of 1080.
Question 6: Find the number of 6-letter Palindromes possible by using letters of 'EQUATION'
Question 7: Find the coordinates of the points on the parabola y2 =8x whose focal distance is 10.
Question 8: Evaluate: ഽsec2x cosec²x dx
Question 9: If nPr =5040 and nCr=210, find n and r.
Question 10: Find the square root of − +5 12i
Also Read: AP Intermediate Mathematics Model Paper 2025-26
AP Intermediate Mathematics Important Questions 2026 for 4 Marks
The next section of the question paper will consist of short-answer type questions for 4 marks each. This section will consist of internal choices, so you are only required to answer 5 questions out of the total questions present in the question paper. Check out some important questions for 4 marks below to practice accordingly:
Question 1: Find the length of the chord intercepted by the circle x²+y²-x+3y-22=0 on the line y=x-3.
Question 2: Find the number of 5-letter words that can be formed using the letters of the word CONSIDER. How many of them begin with "C", how many of them end with "R", and how many of them begin with "C" and end with "R"?
Question 3: If the length of the latus rectum is equal to 15/2 and the distance between foci is 2, then find the equation of the ellipse in the standard form.
Question 4: State and prove the multiplication theorem on probability.
Question 5: A Bag contains 12 two-rupee coins, 7 one-rupee coins, and 4 half-rupee coins. If three coins are selected at random, find the probability that
i) The sum of three coins is maximum
ii) Each coin is of a different value
AP Intermediate Mathematics Important Questions 2026 for 7 Marks
The very last section of the question paper consists of long-answer type questions for 7 marks each. You are required to answer only 5 questions from this section because internal choices are included. You can check some important questions for 7 marks below:
Question 1: Define a parabola and obtain the standard form of the parabola y2 = 4aх, (a > 0).
Question 2: Find the mean deviation from the mean of the following data using the step deviation method:
Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60 | 60–70 |
|---|---|---|---|---|---|---|---|
No. of Students | 6 | 5 | 8 | 15 | 7 | 6 | 3 |
Question 3: Find direct common tangent equations for circles x2+ y2+ 22x − 4y −100 = 0 and x2+y2− 22x + 4y +100 = 0.
Question 4: In a shooting test, the probabilities of A, B, and C hitting the targets are ½. ⅔. And ¾ respectively. If all of them fire at the same target, find the probability that (i) only one of them hits the target, (ii) at least one of them hits the target.
Question 5: If cosα + cosβ + cosγ = 0
= sinα + sinβ + sinγ then S.T
i) cos3α + cos3β + cos3γ
= 3cos (α + β + γ)
ii) sin3α + sin3β + cos3γ
= 3sin (α + β + γ)
Also Read:
AP Intermediate Mathematics Previous Year Question Paper
Which Chapters Hold Weightage in AP Intermediate Mathematics?
As mentioned above, the Mathematics paper is divided into two parts. The question paper will consist of different types of questions. You can refer to the detailed exam pattern for AP Intermediate Mathematics from the table below:
AP Intermediate Mathematics 2A Topics Weightage
Topics | Long Answer (7 Marks) | Short Answer (4 Marks) | Very Short Answer (2 Marks) |
|---|---|---|---|
Complex Numbers | - | 1 question | 2 questions |
Demoivre’s theorem | 1 question | - | 1 question |
Quadratic Expression & Quadratic Equation | - | 1 question | 1 question |
Theory of Equations | 1 question | - | 1 question |
Permutations | - | 1 question | 1 question |
Combinations | - | 1 question | 1 question |
Binomial Theorem | 2 questions | - | 1 question |
Partial fractions | - | 1 question | - |
Measures of Dispersion | 1 question | - | 1 question |
Probability | 1 question | 2 questions | - |
Random Variables Probability Distribution | 1 question | - | 1 question |
Total | 7 questions | 7 questions | 10 questions |
AP Intermediate Mathematics 2B Topics Weightage
Topics | Long Answer (7 Marks) | Short Answer (4 Marks) | Very Short Answer (2 Marks) |
|---|---|---|---|
Circle | 2 questions | 1 question | 2 questions |
System of Circles | - | 1 question | 1 question |
Parabola | 1 question | - | 1 question |
Ellipse | - | 2 questions | - |
Hyperbola | - | 1 question | 1 question |
Integration | 2 questions | - | 2 questions |
Definite Integrals | 1 question | 1 question | 2 questions |
Differential Equations | 1 question | 1 question | 1 question |
Total | 7 questions | 7 questions | 10 questions |
Make sure to regularly solve the AP Intermediate Mathematics Important Questions 2026 to understand the curriculum and exam pattern. Do not forget to first complete the syllabus and understand the types of questions that can appear doing the board exam.
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FAQs
You are required to get 35% marks out of the total hundred allotted for the AP Intermediate Mathematics Paper to pass.
You are required to start your preparation for the exams from the very beginning of the academic year to get 100% marks in AP Intermediate Mathematics. Do not forget to also practice model test papers after completing your syllabus, and refer to the important questions mentioned above for extra preparation.
There will be a total of 8 long-answer type questions included in the AP Intermediate Mathematics Paper; however, you are only required to answer 5 questions. Each question will carry 7 marks.
Yes, you will find internal choices in the AP Intermediate Mathematics Paper; however, no internal choices will be available in the very first section of the question paper. You can find internal choices in the second and third sections of the question paper.
No, there are no major changes recorded in the AP Intermediate Mathematics for the academic year 2026, but the syllabus and the curriculum will be changed for the next academic that is 2027. Some changes have been made to the first-year syllabus, and the same will be reflected in the second year from 2027.
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