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Mathematics is one of the basic subjects which are taught to the students even from play level. This is the most important subject for the students of fsc pre engineering. Maths is a very interesting and tricky subject. Practice is very important for getting good marks in maths and students should also consult guess papers. 2nd year math guess paper 2023 is provided to the 2nd year students online here. Maths is the subject in which students can easily get full marks if they do maximum practice. We are providing you the 12th class math guess papers which will help you in getting good marks.

## 2nd Year Math Guess Papers 2023 (Download App For 12th Class Guess Papers)

Math is the major subject for the students who want to become engineer. Students should make maximum practice of these guess papers for getting good marks in examination. These guess papers are the best way of preparation. The students can get these precious guess papers of maths for 12th class from ilmkidunya and can download. Students can download 2nd year math guess paper 2023 Punjab baord in pdf and can make their preparation perfect. These guess papers are the estimated sample papers of Punjab board which are created by our experienced staff. Here the guess papers of all boards of Punjab are given.

12th CLASS MATHEMATICS  GUESS PAPERS

UNIT NO.1:        FUNCTIONS AND LIMITS

SHORT QUESTIONS:

• Express the perimeter of a square as function of its area A.
• Express the area A of a circle as a function of its circumference C.
• Express the volume V of the cube as a function of its base are A.

EXERCISE NO.           QUESTIONS NO.           PAGE NO.

1.1                                 7                                    10

1.1                                 9   (vi )                           10

1.1                                 9  (v)                              10

1.2                                 2 (iii)                              14

1.2                                 2 (ii)                               14

Example                        3                                    14

1.3                                 27  (viii)                         27

1.3                                 2   (ix)                            27

1.3                                 2  (ix)                             27

1.3                                 3   (v)                             27

1.3                                 3   (x)                             27

1.3                                 3  (iii)                             27

1.3                                 4  (iii)                             27

1.3                                 4 (v)                               28

1.3                                 4 (x)                               28

1.4                                 4                                    32

1.4                                 5 (i)                                32

LONG QUESTIONS:

EXERCISE NO.                               QUESTIONS NO.                   PAGE NO.

1.3                                                     3        (xi)                                 27

1.3                                                     3        (xii)                                27

1.4                                                     5        (i)                                   32

1.4                                                     6                                              32

UNIT NO. 2                  DIFFERENTIATION.

SHORT QUESTIONS:

EXERCISE NO.                              QUESTIONS NO.                  PAGE NO.

2.3                                                     12                                            61

2.4                                                     2        (i)                                   70

2.4                                                     2        (iii)                                 70

Example No. 2.6                               3                                              66

Example No. 2.6                               1                                              66

2.5                                                     3        (i)                                   79

2.5                                                     5        (ii)                                  79

2.5                                                     6                                              79

2.5                                                     8                                              79

2.5                                                     7                                              79

2.5                                                     10      (ii)                                  79

2.5                                                     11                                            79

2.5                                                     12                                            79

2.6                                                     2        (vii)                                89

2.6                                                     2        (xi)                                 89

2.6                                                     2        (xiii)                               90

If

2.6                                                     2        (viii)                               89

2.8                                                     1        (v)                                  101

2.10                                                   2                                              117

LONG QUESTIONS:

EXERCISE NO.                              QUESTIONS NO.                  PAGE NO.

2.3                                                   17                                             61

EXAMPLE -2.6                                 3                                              66

EXERCISE NO. 2.5                          8                                              79

2.5                                                     9                                              79

2.5                                                    11                                             79

2.7                                                     6                                              94

2.7                                                     9                                              95

2.8                                                     2                                              101

2.9                                                     4                                              113

2.9                                                     5                                              113

UNIT NO. 3        INTEGRATION

SHORT QUESTIONS:

EXERCISE NO.                                 QUESTIONS NO.                  PAGE NO.

3.1                                                     4                                              122

3.1                                                     3        (ii)                                  123

3.1                                                     3`      (iii)                                 123

3.1                                                     2        (i)                                   123

EXAMPLE                                         12      (v)                                  129

3.2                                                     1        (vii)                                130

3.2                                                     1        (x)                                  130

3.2                                                     2        (ii)                                  130

3.2                                                     2        (xi)                                 131

3.2                                                     2        (xii)                                131

3.2                                                     3        (xiv)                               131

EXAMPLE                                        2                                              132

EXERCISE NO. 3.3                         4                                              137

3.3                                                     5                                              137

3.3                                                     6                                              137

3.3                                                     7                                              137

3.3                                                     15                                            137

3.3                                                     16                                            137

3.3                                                     21                                            137

Show That

3.4                                                     1        (vii)                                144

3.4                                                     2        (ii)                                  144

3.4                                                     5        (vii)                                145

3.6                                                     11                                            163

3.6                                                     26                                            163

3.7                                                     3                                              167

3.7                                                     5                                              167

3.8                                                     2                                              177

3.8                                                     2        (2)                                  177

3.8                                                     2        (3)                                  177

3.8                                                     2        (13)                                177

3.8                                                     2        (9)                                  177

3.8                                                     17                                            178

LONG QUESTIONS:

EXERCISE NO.                              QUESTIONS NO.                  PAGE NO.

3.3                                                     8        (a)                                  137

3.6                                                     18                                            163

3.6                                                     26                                            163

3.6                                                     29                                            163

UNIT NO. 4        INTRODUCTION TO ANALYTICAL GEOMETRY.

SHORT QUESTIONS:

EXERCISE NO.                    QUESTION NO.                    PAGE NO.

4.1                                           2   (a) , (b)                               185

4.1                                           8                                              186

4.2                                           1        (iii)                                 189

4.2                                           3                                              190

4.3                                           3        (b)                                  215

4.3                                           4                                              215

EXAMPLE NO.                      9                                              202

4.3                                           30                                            216

4.3                                           28      (a)                                  218

4.4                                           4                                              223

4.4                                           5                                              223

4.4                                           4        (c)                                  224

4.5                                           2                                              228

LONG QUESTIONS:

EXERCISE NO.                    QUESTIONS NO.                  PAGE NO.

4.3                                           6                                              215

4.3                                           15                                            216

UNIT NO. 5

LINEAR INEQUALITIES AND LINEAR PROGRAMMING.

SHORT QUESTIONS:

EXERCISE NO.                    QUESTIONS NO.                  PAGE NO.

5.1                                           2        (ii)                                  236

5.1                                           2        (i)                                   236

5.1                                           1        (i)                                   236

5.1                                           2                                              236

5.1                                           4        (i)                                   237

LONG QUESTIONS:

5.1                                           4        (ii)                                  237

5.1                                           4        (i)                                   237

5.2                                           1        (ii)                                  242

5.3                                           1                                              248

5.3                                           2                                              248

5.3                                           1                                              248

5.3                                           6                                              248

UNIT NO. 7        VECTORS

SHORT QUESTIONS:

EXERCISE NO.                    QUESTION NO.                    PAGE NO.

7.1                                           4                                              334

7.1                                           5                                              334

7.1                                           6        (iii)                                 335

7.1                                           9                                              335

7.1                                           12      (i)                                   335

7.1                                           12      (ii)                                  335

7.2                                           4                                              342

7.2                                           7        (i)                                   342

7.2                                           10      (c)                                  342

EXAMPLE NO.                      9                                              349

7.3                                           3        (ii)                                  350

7.3                                           5                                              350

7.4                                           7                                              358

EXAMPLE                               1                                              361

7.5                                           3                                              364

7.5                                           1        (ii)                                  365

7.5                                           4        (ii)                                  366

7.5                                           5                                              366

7.5                                           12                                            366

LONG QUESTIONS:

EXERCISE NO.                    QUESTIONS NO.                  PAGE NO.

EXAMPLE NO.                      8        (i)                                   348

EXAMPLE NO.                      3                                              354

EXERCISE NO. 7.4                7                                              358

7.5                                           12                                            366

## 2nd Year Guess Papers of Mathematics

We always struggle for helping our hardworking students in different easy ways so that the students can easily prepare their board examination. We are providing the well designed guess papers which are prepared by experienced teachers. Past papers for 12th class are also available here. Go and download maths 12th class guess paper 2023. Get benefit from this facility. Keep on checking ilmkidunya website for getting the more important updates and study material.

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25 May 2023

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• #### Numan Fareed

25 May 2023

Pdf open nahi ho rha🤔

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• #### Ammara Ijaz

24 May 2023

Please pdf wala open kar dien

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18 May 2023

Hmmm 🤔

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21 May 2023

hm

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• #### Eman Hajat Khan

06 Apr 2023

Jo Ap ny k guess apload kie ha fsc part k uneun me sy hi.paper ay ga kya..ata ha kya paper

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• #### Eman Hajat Khan

06 Apr 2023

Jo k guess ha un me sy hi paper aya g kya

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• #### Abdullah Rajput

25 Nov 2022

Are these guess also for supplementry examination

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## 12th Class

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