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Previous year question hub

Mathematics Previous Year Questions

Practice Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

19Papers
3Years
1,391Questions
6Topics

Mathematics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Mathematics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 1,458 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 1,458 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
1391 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
457 Qs
Calculus
304 Qs
Coordinate Geometry
287 Qs
Algebra
126 Qs
Trigonometry
129 Qs
Calculus
88 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
110 Qs
Straight Lines And Pair Of Straight Lines
90 Qs
Probability
83 Qs
Complex Numbers
81 Qs
Three Dimensional Geometry
79 Qs
Indefinite Integration
79 Qs
Vector Algebra
75 Qs
Quadratic Equations
74 Qs
Matrices And Determinants
70 Qs
Trigonometric Ratios And Identities
62 Qs
Application Of Derivatives
57 Qs
Differential Equations
56 Qs
Properties Of Triangles
49 Qs
Differentiation
51 Qs
Functions
49 Qs
Definite Integration
47 Qs
Limits Continuity And Differentiability
43 Qs
Permutations And Combinations
43 Qs
Binomial Theorem
37 Qs
Ellipse
34 Qs
Parabola
31 Qs
Statistics
24 Qs
Hyperbola
22 Qs
Inverse Trigonometric Functions
13 Qs
Sequences And Series
12 Qs
Area Under The Curves
10 Qs
Trigonometric Equations
5 Qs
Logarithms
4 Qs
Sets And Relations
1 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

TS EAMCET 2023 ONLINE 12TH MAY EVENING SHIFT
80 Qs
TS EAMCET 2023 ONLINE 13TH MAY EVENING SHIFT
80 Qs
TS EAMCET 2023 ONLINE 13TH MAY MORNING SHIFT
80 Qs
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT
80 Qs
TS EAMCET 2023 ONLINE 14TH MAY MORNING SHIFT
80 Qs
TS EAMCET 2023 (Online) 12th May Morning Shift
79 Qs
TS EAMCET 2022 (Online) 19th July Evening Shift
80 Qs
TS EAMCET 2022 (Online) 19th July Morning Shift
80 Qs
TS EAMCET 2022 (Online) 20th July Evening Shift
80 Qs
TS EAMCET 2022 ONLINE 18TH JULY EVENING SHIFT
80 Qs
TS EAMCET 2022 ONLINE 18TH JULY MORNING SHIFT
80 Qs
TS EAMCET 2022 (Online) 20th July Morning Shift
79 Qs
TS EAMCET 2020 (Online) 10th September Evening Shift
82 Qs
TS EAMCET 2020 (Online) 10th September Morning Shift
79 Qs
TS EAMCET 2020 (Online) 11th September Evening Shift
69 Qs
TS EAMCET 2020 (Online) 11th September Morning Shift
68 Qs
TS EAMCET 2020 (Online) 14th September Evening Shift
68 Qs
TS EAMCET 2020 (Online) 14th September Morning Shift
67 Qs
TS EAMCET 2020 (Online) 14th September Morning Shift
67 Qs

Browse by topics

Open a focused page built from the same verified paper data.

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
TS EAMCET 2023 (Online) 12th May Morning Shift202379View paper
TS EAMCET 2023 ONLINE 12TH MAY EVENING SHIFT202380View paper
TS EAMCET 2023 ONLINE 13TH MAY EVENING SHIFT202380View paper
TS EAMCET 2023 ONLINE 13TH MAY MORNING SHIFT202380View paper
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT202380View paper
TS EAMCET 2023 ONLINE 14TH MAY MORNING SHIFT202380View paper
TS EAMCET 2022 (Online) 19th July Evening Shift202280View paper
TS EAMCET 2022 (Online) 19th July Morning Shift202280View paper
TS EAMCET 2022 (Online) 20th July Evening Shift202280View paper
TS EAMCET 2022 (Online) 20th July Morning Shift202279View paper
TS EAMCET 2022 ONLINE 18TH JULY EVENING SHIFT202280View paper
TS EAMCET 2022 ONLINE 18TH JULY MORNING SHIFT202280View paper
TS EAMCET 2020 (Online) 10th September Evening Shift202082View paper
TS EAMCET 2020 (Online) 10th September Morning Shift202079View paper
TS EAMCET 2020 (Online) 11th September Evening Shift202069View paper
TS EAMCET 2020 (Online) 11th September Morning Shift202068View paper
TS EAMCET 2020 (Online) 14th September Evening Shift202068View paper
TS EAMCET 2020 (Online) 14th September Morning Shift202067View paper
TS EAMCET 2020 (Online) 14th September Morning Shift202067View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2022 · Mathematics · Algebra · Complex Numbers
TS EAMCET 2022 ONLINE 18TH JULY EVENING SHIFT

One of the values of $(-32 i)^{\frac{2}{5}}$ is

A

$4 \operatorname{cis} \frac{2 \pi}{5}$

B

$4 \operatorname{cis} \frac{3 \pi}{5}$

C

$4 \operatorname{cis} \frac{4 \pi}{5}$

D

$4 \operatorname{cis} \frac{6 \pi}{5}$

Open complete paper
2
2022 · Mathematics · Calculus · Indefinite Integration
TS EAMCET 2022 ONLINE 18TH JULY MORNING SHIFT

If $x>0$ and $x \neq(2 n+1) \frac{\pi}{2}$, then $\int\left(x \sqrt{x}-e^{\log (\sec x \tan x)}+\frac{3 x^2-2 x+1}{x^2}\right) d x=$

A

$x \sqrt{x}-\sec x+3 x-2 \log x-\frac{1}{x}+c$

B

$\frac{2}{5} x^2 \sqrt{x}-\sec x+3 x+\frac{2}{x^2}-\frac{1}{x}+c$

C

$x \sqrt{x}-\sec x+3 x+\frac{2}{x^2}-\frac{1}{x}+c$

D

$\frac{2}{5} x^2 \sqrt{x}-\sec x+3 x-2 \log x-\frac{1}{x}+c$

Open complete paper
3
2023 · Mathematics · Calculus · Indefinite Integration
TS EAMCET 2023 ONLINE 12TH MAY EVENING SHIFT
$$\text { Match the following items from List I into List II }$$
List-I List-II
1. \(\int \frac{\mathrm{sin}^{2} x}{\mathrm{cos}^{4} x} d x\)\(\int \frac{\mathrm{sin}^{2} x}{\mathrm{cos}^{4} x} d x\)int(sin^(2)x)/(cos^(4)x)dx A. \(\quad \frac{\mathrm{tan}^{2} x}{2} + \mathrm{ln} | \mathrm{cos} x | + C\)\(\quad \frac{\mathrm{tan}^{2} x}{2} + \mathrm{ln} | \mathrm{cos} x | + C\)quad(tan^(2)x)/(2)+ln |cos x|+C
2. \(\int \frac{\mathrm{sin}^{4} x}{\mathrm{cos}^{2} x} d x\)\(\int \frac{\mathrm{sin}^{4} x}{\mathrm{cos}^{2} x} d x\)int(sin^(4)x)/(cos^(2)x)dx B. \(\mathrm{cos} x + \mathrm{sec} x + C\)\(\mathrm{cos} x + \mathrm{sec} x + C\)cos x+sec x+C
3. \(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{2} x} d x\)\(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{2} x} d x\)int(sin^(3)x)/(cos^(2)x)dx C. \(\frac{\mathrm{tan}^{3} x}{3} + C\)\(\frac{\mathrm{tan}^{3} x}{3} + C\)(tan^(3)x)/(3)+C
4. \(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{3} x} d x\)\(\int \frac{\mathrm{sin}^{3} x}{\mathrm{cos}^{3} x} d x\)int(sin^(3)x)/(cos^(3)x)dx D. \(\mathrm{tan} x + \frac{\mathrm{sin} 2 x}{4} - \frac{3 x}{2} + C\)\(\mathrm{tan} x + \frac{\mathrm{sin} 2 x}{4} - \frac{3 x}{2} + C\)tan x+(sin 2x)/(4)-(3x)/(2)+C
E. \(\mathrm{cos} x - \mathrm{sec} x + C\)\(\mathrm{cos} x - \mathrm{sec} x + C\)cos x-sec x+C
Select the correct choice
A
1-C, 2-E, 3-B, 4-A
B
1,-C, 2-D, 3-B, 4-A
C
1-D, 2-C, 3-A, 4-B
D
1-C, 2-E, 3-A, 4-D
Open complete paper
4
2023 · Mathematics · Algebra · Complex Numbers
TS EAMCET 2023 ONLINE 13TH MAY EVENING SHIFT

If $\left(\frac{\sqrt{3}+i}{\sqrt{3}-i}\right)^4+\left(\frac{\sqrt{3}-i}{\sqrt{3}+i}\right)^4=r$ cis $\theta$, then one of the values of $\sqrt{r \operatorname{cis} \theta}$ is

A

$\operatorname{cis}\left(\frac{3 \pi}{4}\right)$

B

$\operatorname{cis}\left(\frac{3 \pi}{2}\right)$

C

$\operatorname{cis}\left(\frac{\pi}{3}\right)$

D

$\operatorname{cis} \pi$

Open complete paper
5
2023 · Mathematics · Coordinate Geometry · Circle
TS EAMCET 2023 ONLINE 13TH MAY MORNING SHIFT

If the angle between the circles $x^2+y^2-2 x+2 y+1=0$ and $x^2+y^2+2 x-2 y+k=0$ is $\frac{\pi}{3}$, then

A

$k$ is a rational number but not an integer

B

$k$ is an irrational number

C

there is no real number $k$ satisfying the given condition

D

$k$ is an integer

Open complete paper
6
2023 · Mathematics · Calculus · Differentiation
TS EAMCET 2023 ONLINE 14TH MAY EVENING SHIFT

Match the values of $\frac{d y}{d x}$ at $x=\frac{\pi}{3}$ for the following system of curves in parametric form given in List-I with those of the items in List-II

List-I List-II
(i) \(x = a ( \theta - \mathrm{sin} \theta ) , y = a ( 1 - \mathrm{cos} \theta )\)\(x = a ( \theta - \mathrm{sin} \theta ) , y = a ( 1 - \mathrm{cos} \theta )\)x=a(theta-sin theta),y=a(1-cos theta) (a) \(4 \sqrt{3}\)\(4 \[\sqrt{3}\)4sqrt3\]
(ii) \(x = 3 \mathrm{cos} \theta - 2 \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - 2 \mathrm{sin}^{3} \theta\)\(x = 3 \mathrm{cos} \theta - 2 \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - 2 \mathrm{sin}^{3} \theta\)x=3cos theta-2cos^(3)theta,y=3sin theta-2sin^(3)theta (b) \(\frac{- 1}{3 \sqrt{3}}\)\(\frac{- 1}{3 \[\sqrt{3}}\)(-1)/(3sqrt3)\]
(iii) \(x = 3 \mathrm{cos} \theta - \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - \mathrm{sin}^{3} \theta\)\(x = 3 \mathrm{cos} \theta - \mathrm{cos}^{3} \theta , y = 3 \mathrm{sin} \theta - \mathrm{sin}^{3} \theta\)x=3cos theta-cos^(3)theta,y=3sin theta-sin^(3)theta (c) \(\sqrt{3}\)\(\sqrt{3}\)sqrt3
(iv) \(x = a \mathrm{log} \mathrm{sin} \theta , y = a \mathrm{tan} \theta\)\(x = a \mathrm{log} \mathrm{sin} \theta , y = a \mathrm{tan} \theta\)x=a log sin theta,y=a tan theta (d) \(\frac{1}{\sqrt{3}}\)\(\frac{1}{\sqrt{3}}\)(1)/(sqrt3)
(e) \(\frac{1}{3 \sqrt{3}}\)\(\frac{1}{3 \[\sqrt{3}}\)(1)/(3sqrt3)\]
A

(i) → c, (ii) → d, (iii) → b, (iv) → a

B

(i) → c, (ii) → e, (iii) → d, (iv) → a

C

(i) → d, (ii) → c, (iii) → b, (iv) → a

D

(i) →d, (ii) → c, (iii) → e, (iv) → b

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