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- Important Questions
- Multiple Choice Questions (MCQs)
- Question Paper/Model Paper/Paper Pattern HSSC-I: BISE
- Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE
- Important Questions: HSSC-I
- Multiple Choice Questions (MCQs)
- Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE
- Important Questions: HSSC-II
- Important Questions
- Multiple Choice Questions (MCQs)
- MCQs and Short Questions
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- MCQs or Short Questions
- Ch 01: Number Systems
- Ch 02: Functions and Groups
- Ch 03: Matrices and Determinants
- Ch 04: Quadratic Equations
- Ch 05: Partial Fraction
- Ch 06: Sequences and Series
- Ch 07: Permutation, Combination and Probability
- Ch 08: Mathematical Induction and Binomial Theorem
- Ch 09: Fundamental of Trigonometry
- Ch 10: Trigonometric Identities
- Ch 11: Trigonometric Functions and Their Graphs
- Ch 12: Applications of Trigonometry
- Ch 13: Inverse Trigonometry Functions
- Ch 14: Solutions of Trigonometric Equation
- Unit 01: Functions and Limits
- Unit 02: Differentiation
- Unit 03: Integration
- Unit 04: Introduction to Analytic Geometry
- Unit 05: Linear Inequalities and Linear Programming
- Unit 06: Conic section
- Unit 07: Vectors
- MCQs-Short Questions by Mr Parvez Khan
- Short Questions by Mr. Akhtar Abbas
- MCQs-Short Questions by Mr. Parvez Khan
- Short Questions by Mr. Akhtar Abbas
- Normed Spaces: Short Questions and MCQs
- Real Analysis: Short Questions and MCQs
- Topology: Short Questions and MCQs
- Question 1, Exercise 1.1
- Question 2 & 3, Exercise 1.1
- Question 4, Exercise 1.1
- Question 5, Exercise 1.1
- Question 6, Exercise 1.1
- Question 7, Exercise 1.1
- Question 8, Exercise 1.1
- Question 9 & 10, Exercise 1.1
- Question 11, Exercise 1.1
- Question 1, Exercise 1.2
- Question 2, Exercise 1.2
- Question 3 & 4, Exercise 1.2
- Question 5, Exercise 1.2
- Question 6, Exercise 1.2
- Question 7, Exercise 1.2
- Question 8, Exercise 1.2
- Question 9, Exercise 1.2
- Question 1, Exercise 1.3
- Question 2, Exercise 1.3
- Question 3 & 4, Exercise 1.3
- Question 5, Exercise 1.3
- Question 6, Exercise 1.3
- Question 1, Review Exercise 1
- Question 2 & 3, Review Exercise 1
- Question 4 & 5, Review Exercise 1
- Question 6, 7 & 8, Review Exercise 1
- Question 1, Exercise 10.1
- Question 2, Exercise 10.1
- Question 3, Exercise 10.1
- Question, Exercise 10.1
- Question 5, Exercise 10.1
- Question 6, Exercise 10.1
- Question 7, Exercise 10.1
- Question 8, Exercise 10.1
- Question 9 and 10, Exercise 10.1
- Question11 and 12, Exercise 10.1
- Question 13, Exercise 10.1
- Question 1, Exercise 10.2
- Question 2, Exercise 10.2
- Question 3, Exercise 10.2
- Question 4 and 5, Exercise 10.2
- Question 6, Exercise 10.2
- Question 7, Exercise 10.2
- Question 8 and 9, Exercise 10.2
- Question 1, Exercise 10.3
- Question 2, Exercise 10.3
- Question 3, Exercise 10.3
- Question 5, Exercise 10.3
- Question 5, Exercise 10.3
- Question 1, Review Exercise 10
- Question 2 and 3, Review Exercise 10
- Question 4 & 5, Review Exercise 10
- Question 6 & 7, Review Exercise 10
- Question 8 & 9, Review Exercise 10
- View
- Question 1, Exercise 1.1
- Question 2 & 3, Exercise 1.1
- Question 4, Exercise 1.1
- Question 5, Exercise 1.1
- Question 6, Exercise 1.1
- Question 7, Exercise 1.1
- Question 8, Exercise 1.1
- Question 9 & 10, Exercise 1.1
- Question 11, Exercise 1.1
- Question 1, Exercise 1.2
- Question 2, Exercise 1.2
- Question 3 & 4, Exercise 1.2
- Question 5, Exercise 1.2
- Question 6, Exercise 1.2
- Question 7, Exercise 1.2
- Question 8, Exercise 1.2
- Question 9, Exercise 1.2
- Question 1, Exercise 1.3
- Question 2, Exercise 1.3
- Question 3 & 4, Exercise 1.3
- Question 5, Exercise 1.3
- Question 6, Exercise 1.3
- Question 1, Review Exercise 1
- Question 2 & 3, Review Exercise 1
- Question 4 & 5, Review Exercise 1
- Question 6, 7 & 8, Review Exercise 1
- Question 1, Exercise 2.1
- Question 2, Exercise 2.1
- Question 3, Exercise 2.1
- Question 4, Exercise 2.1
- Question 5 & 6, Exercise 2.1
- Question 7, Exercise 2.1
- Question 8, Exercise 2.1
- Question 9, Exercise 2.1
- Question 10, Exercise 2.1
- Question 11, Exercise 2.1
- Question 12, Exercise 2.1
- Question 13, Exercise 2.1
- Question 1, Exercise 2.2
- Question 2, Exercise 2.2
- Question 3, Exercise 2.2
- Question 4, Exercise 2.2
- Question 5, Exercise 2.2
- Question 6, Exercise 2.2
- Question 7, Exercise 2.2
- Question 8,9 & 10, Exercise 2.2
- Question 11, Exercise 2.2
- Question 12, Exercise 2.2
- Question 13, Exercise 2.2
- Question 14 & 15, Exercise 2.2
- Question 16 & 17, Exercise 2.2
- Question 18, Exercise 2.2
- Question 19, Exercise 2.2
- Question 1, Exercise 2.3
- Question 2, Exercise 2.3
- Question 3, Exercise 2.3
- Question 4, Exercise 2.3
- Question 1, Exercise 3.2
- Question 2, Exercise 3.2
- Question 3 & 4, Exercise 3.2
- Question 5 & 6, Exercise 3.2
- Question 7, Exercise 3.2
- Question 7, Exercise 3.2
- Question 9 & 10, Exercise 3.2
- Question 11, Exercise 3.2
- Question 12, 13 & 14, Exercise 3.2
- Question 1, Exercise 3.3
- Question 2 and 3 Exercise 3.3
- Question 4 and 5 Exercise 3.3
- Question 6 Exercise 3.3
- Question 7 & 8 Exercise 3.3
- Question 9 & 10, Exercise 3.3
- Question 11, Exercise 3.3
- Question 12 & 13, Exercise 3.3
- Question 1 Exercise 3.4
- Question 2 Exercise 3.4
- Question 3 Exercise 3.4
- Question 4 Exercise 3.4
- Question 5 Exercise 3.4
- Question 6 Exercise 3.4
- Question 7 & 8 Exercise 3.4
- Question 9 Exercise 3.4
- Question 1 & 2 Exercise 3.5
- Question 3 & 4 Exercise 3.5
- Question 5(i) & 5(ii) Exercise 3.5
- Question 5(iii) & 5(iv) Exercise 3.5
- Question 6 Exercise 3.5
- Question 7 Exercise 3.5
- Question 8 Exercise 3.5
- Question 9 Exercise 3.5
- Question 1 Review Exercise 3
- Question 2 & 3 Review Exercise 3
- Question 4 & 5 Review Exercise 3
- Question 6 & 7 Review Exercise 3
- Question 8 & 9 Review Exercise 3
- Question 10 Review Exercise 3
- Question 1 and 2 Exercise 4.1
- Question 3 and 4 Exercise 4.1
- Question 5 Exercise 4.1
- Question 6 Exercise 4.1
- Question 1 and 2 Exercise 4.2
- Question 3 and 4 Exercise 4.2
- Question 5 and 6 Exercise 4.2
- Question 7 Exercise 4.2
- Question 8 Exercise 4.2
- Question 9 Exercise 4.2
- Question 10 Exercise 4.2
- Question 11 Exercise 4.2
- Question 12 & 13 Exercise 4.2
- Question 14 Exercise 4.2
- Question 15 Exercise 4.2
- Question 16 Exercise 4.2
- Question 17 Exercise 4.2
- Question 1 Exercise 4.3
- Question 2 Exercise 4.3
- Question 3 & 4 Exercise 4.3
- Question 5 & 6 Exercise 4.3
- Question 7 & 8 Exercise 4.3
- Question 9 & 10 Exercise 4.3
- Question 11 & 12 Exercise 4.3
- Question 13 & 14 Exercise 4.3
- Question 1 Exercise 4.4
- Question 2 & 3 Exercise 4.4
- Question 4 & 5 Exercise 4.4
- Question 6 & 7 Exercise 4.4
- Question 8 Exercise 4.4
- Question 9 Exercise 4.4
- Question 10 Exercise 4.4
- Question 11 Exercise 4.4
- Question 12 Exercise 4.4
- Question 1 Exercise 4.5
- Question 2 Exercise 4.5
- Question 3 Exercise 4.5
- Question 4 Exercise 4.5
- Question 5 & 6 Exercise 4.5
- Question 7 & 8 Exercise 4.5
- Question 9 & 10 Exercise 4.5
- Question 11 & 12 Exercise 4.5
- Question 13 & 14 Exercise 4.5
- Question 15 & 16 Exercise 4.5
- Question 1 Exercise 5.1
- Question 2 & 3 Exercise 5.1
- Question 4 & 5 Exercise 5.1
- Question 6 Exercise 5.1
- Question 7 & 8 Exercise 5.1
- Question 9 Exercise 5.1
- Question 1 Exercise 5.2
- Question 2 & 3 Exercise 5.2
- Question 4 & 5 Exercise 5.2
- Question 1 Exercise 5.3
- Question 2 Exercise 5.3
- Question 3 Exercise 5.3
- Question 4 Exercise 5.3
- Question 5 Exercise 5.3
- Question 6 Exercise 5.3
- Question 1 Exercise 5.3
- Question 2 & 3 Exercise 5.4
- Question 4 Exercise 5.4
- Question 1 Review Exercise 5
- Question 2 & 3 Review Exercise
- Question 4 Review Exercise
- Question 5 & 6 Review Exercise
- Question 7 Review Exercise
- Question 8 Review Exercise
- Question 9 Review Exercise
- Question 10 Review Exercise
- Question 1 and 2 Exercise 6.1
- Question 3 & 4 Exercise 6.1
- Question 5 Exercise 6.1
- Question 4 Exercise 6.1
- Question 5 Exercise 6.1
- Question 1 and 2 Exercise 6.2
- Question 3 and 4 Exercise 6.2
- Question 5 and 6 Exercise 6.2
- Question 7 and 8 Exercise 6.2
- Question 9 Exercise 6.2
- Question 10 Exercise 6.2
- Question 11 Exercise 6.2
- Question 12 Exercise 6.2
- Question 13 Exercise 6.2
- Question 14 and 15 Exercise 6.2
- Question 1 Exercise 6.3
- Question 2 Exercise 6.3
- Question 3 Exercise 6.3
- Question 4 Exercise 6.3
- Question 5 and 6 Exercise 6.3
- Question 7 and 8 Exercise 6.3
- Question 9 Exercise 6.3
- Question 9 Exercise 6.3
- Question 1 Exercise 6.4
- Question 2 Exercise 6.4
- Question 3 Exercise 6.4
- Question 4 Exercise 6.4
- Question 5 Exercise 6.4
- Question 6 Exercise 6.4
- Question 7 Exercise 6.4
- Question 1 and 2 Exercise 6.5
- Question 3 and 4 Exercise 6.5
- Question 5 and 6 Exercise 6.5
- Question 7 Exercise 6.5
- Question 8 Exercise 6.5
- Question 9 Exercise 6.5
- Question 10 Exercise 6.5
- Question 1 Review Exercise 6
- Question 2 Review Exercise 6
- Question 3 & 4 Review Exercise 6
- Question 5 & 6 Review Exercise 6
- Question 7 & 8 Review Exercise 6
- Question 9 & 10 Review Exercise 6
- Question 11 Review Exercise 6
- Question 1 Exercise 7.1
- Question 2 Exercise 7.1
- Question 3 Exercise 7.1
- Question 4 Exercise 7.1
- Question 5 Exercise 7.1
- Question 6 Exercise 7.1
- Question 7 Exercise 7.1
- Question 8 Exercise 7.1
- Question 9 Exercise 7.1
- Question 10 Exercise 7.1
- Question 11 Exercise 7.1
- Question 12 Exercise 7.1
- Question 13 Exercise 7.1
- Question 14 Exercise 7.1
- Question 15 Exercise 7.1
- Question 1 Exercise 7.2
- Question 2 Exercise 7.2
- Question 3 Exercise 7.2
- Question 4 Exercise 7.2
- Question 5 Exercise 7.2
- Question 6 Exercise 7.2
- Question 7 Exercise 7.2
- Question 8 Exercise 7.2
- Question 9 Exercise 7.2
- Question 10 Exercise 7.2
- Question 11 Exercise 7.2
- Question 1 Exercise 7.3
- Question 2 Exercise 7.3
- Question 3 Exercise 7.3
- Question 4 Exercise 7.3
- Question 5 and 6 Exercise 7.3
- Question 7 and 8 Exercise 7.3
- Question 9 Exercise 7.3
- Question 10 Exercise 7.3
- Question 11 Exercise 7.3
- Question 12 Exercise 7.3
- Question 13 Exercise 7.3
- Question 14 Exercise 7.3
- Question 1 Review Exercise 7
- Question 2 Review Exercise 7
- Question 3 & 4 Review Exercise 7
- Question 5 & 6 Review Exercise 7
- Question 7 & 8 Review Exercise 7
- Question 9 and 10 Review Exercise 7
- Question 11 Review Exercise 7
- Question 1, Exercise 10.1
- Question 2, Exercise 10.1
- Question 3, Exercise 10.1
- Question, Exercise 10.1
- Question 5, Exercise 10.1
- Question 6, Exercise 10.1
- Question 7, Exercise 10.1
- Question 8, Exercise 10.1
- Question 9 and 10, Exercise 10.1
- Question11 and 12, Exercise 10.1
- Question 13, Exercise 10.1
- Question 1, Exercise 10.2
- Question 2, Exercise 10.2
- Question 3, Exercise 10.2
- Question 4 and 5, Exercise 10.2
- Question 6, Exercise 10.2
- Question 7, Exercise 10.2
- Question 8 and 9, Exercise 10.2
- Question 1, Exercise 10.3
- Question 2, Exercise 10.3
- Question 3, Exercise 10.3
- Question 5, Exercise 10.3
- Question 5, Exercise 10.3
- Question 1, Review Exercise 10
- Question 2 and 3, Review Exercise 10
- Question 4 & 5, Review Exercise 10
- Question 6 & 7, Review Exercise 10
- Question 8 & 9, Review Exercise 10
Fulltext results:
- FSc/ICS Part 2 (Mathematics): PTB
- age we have posted Notes (Solutions), MCQs, short question, sample papers and old papers related to this sub
- FSc/ICS Part 1 (Mathematics): PTB
- ge, we have posted Notes (Solutions), MCQs, short question, sample papers and old papers related to this sub
- Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01
- ====== Question 2 & 3, Exercise 1.1 ====== Solutions of Question 2 & 3 of Exercise 1.1 of Unit 01: Complex Numbers. This is... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2===== Prove that ${{i}^{107}}+{{i}^{112}}+{{i}^{... \\ &=-i+1-1+i\\ &=0=R.H.S.\end{align} GOOD =====Question 3(i)===== Add the complex numbers $3\left( 1+2i \
- Question 1, Exercise 1.1 @math-11-kpk:sol:unit01
- ====== Question 1, Exercise 1.1 ====== Solutions of Question 1 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Simplify ${{i}^{9}}+{{i}^{19}}$. GOOD =... -1 \right)\\ &=i-i\\ &=0.\end{align} GOOD =====Question 1(ii)===== Simplify ${{\left( -i \right)}^{23}}$.
- Question 1, Review Exercise 10 @math-11-kpk:sol:unit10
- ====== Question 1, Review Exercise 10 ====== Solutions of Question 1 of Review Exercise 10 of Unit 10: Trigonometric Ident... Board (KPTB or KPTBB) Peshawar, Pakistan. ===== Question 1 ===== Chose the correct option. i. $\cos {{5... <text align="right"><btn type="success">[[math-11-kpk:sol:unit10:re-ex10-p2|Question 2 & 3 >]]</btn></text>
- Question 3 & 4 Exercise 4.3 @math-11-kpk:sol:unit04
- ====== Question 3 & 4 Exercise 4.3 ====== Solutions of Question 3 & 4 of Exercise 4.3 of Unit 04: Sequence and Series. This... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3===== Find sum of all the numbers divisible by $... ghtarrow S_{66}&=33(375)=12375 .\end{align} =====Question 4===== The sum of three numbers in an arithmetic
- Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
- ====== Question 2 Exercise 4.3 ====== Solutions of Question 2 of Exercise 4.3 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Some of the components $a_1, a_n, n, d$... n} Hence $a_{17}=50$ and $S_{17}=442$. GOOD =====Question 2(ii)===== Some of the components $a_1, a_n, n, d
- Question 1 Exercise 4.3 @math-11-kpk:sol:unit04
- ====== Question 1 Exercise 4.3 ====== Solutions of Question 1 of Exercise 4.3 of Unit 04: Sequence and Series. This is unit... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Find indicated term and sum of the indi... -29 and sum of first 20 terms is -200. GOOD =====Question 1(ii)===== Find indicated term and sum of the ind
- Question 14 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 14 Exercise 4.2 ====== Solutions of Question 14 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 14(i)===== Insert three arithmetic means between ... 3}{4},23\dfrac{1}{2},32\dfrac{1}{4}.$$ GOOD =====Question 14(ii)===== Insert four arithmetic means between
- Question 17 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 17 Exercise 4.2 ====== Solutions of Question 17 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 17===== There are $n$ arithmetic means between 5 ... text align="left"><btn type="primary">[[math-11-kpk:sol:unit04:ex4-2-p12 |< Question 16 ]]</btn></text>
- Question 16 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 16 Exercise 4.2 ====== Solutions of Question 16 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 16===== Insert five arithmetic means between $5$ ... e="primary">[[math-11-kpk:sol:unit04:ex4-2-p11 |< Question 15 ]]</btn></text> <text align="right"><btn type=
- Question 15 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 15 Exercise 4.2 ====== Solutions of Question 15 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 15===== For what value of $n, \dfrac{a^{n+1}+b^{n... e="primary">[[math-11-kpk:sol:unit04:ex4-2-p10 |< Question 14 ]]</btn></text> <text align="right"><btn type=
- Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 12 & 13 Exercise 4.2 ====== Solutions of Question 12 & 13 of Exercise 4.2 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 12===== A man earned dollars 3500 the first year ... s 21st year of work is dollars 18,500. GOOD =====Question 13(i)===== Find the arithmetic mean between $12$
- Question 11 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 11 Exercise 4.2 ====== Solutions of Question 11 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 11===== Ahmad and Akram can climb 1000 feet in th... pe="primary">[[math-11-kpk:sol:unit04:ex4-2-p7 |< Question 10]]</btn></text> <text align="right"><btn type="
- Question 10 Exercise 4.2 @math-11-kpk:sol:unit04
- ====== Question 10 Exercise 4.2 ====== Solutions of Question 10 of Exercise 4.2 of Unit 04: Sequence and Series. This is un... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 10===== The population of a town is decreasing by... pe="primary">[[math-11-kpk:sol:unit04:ex4-2-p6 |< Question 9]]</btn></text> <text align="right"><btn type="s
- Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch07
- Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch05
- Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch08
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university