Notes & SolutionsTMH-FLUID-MECHANICS-I
Fluid Mechanics I — Complete BS/MSc Mathematics Course Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Fluid Mechanics / Fluid Dynamics / Potential FlowUniversity / BS Mathematics, MSc Mathematics and legacy BSc revision
Study Fluid Mechanics I with a 20-chapter BS and MSc Mathematics course book covering fluid properties, statics, kinematics, continuity, Euler and Bernoulli flow, vorticity, potential flow, complex methods, viscous extensions and waves. View or download the complete Math Hub PDF.
6 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Fluid Mechanics I / Fluid Dynamics I
- MSc Mathematics — Mathematical Fluid Mechanics / Fluid Dynamics revision
- Legacy BSc Mathematics — Mechanics / Fluid Mechanics context
- Mathematics Library — separate owner-resource record
- Fluid Mechanics / Fluid Dynamics subject hub — one canonical child resource
- Related from Vector & Tensor Analysis, ODE, PDE, Complex Analysis, Mechanics and Numerical Analysis
Notes & SolutionsTMH-PLANE-CURVES-ANALYTIC-GEOMETRY
Plane Curves & Analytic Geometry
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Plane Curves / Analytic Geometry / Conic SectionsUniversity / ADP, BS, legacy BSc, B.Ed specialization and MSc revision
Study Plane Curves & Analytic Geometry for ADP and BS Mathematics with conics, polar and parametric curves, tangents, normals, curve tracing, curvature, 3-D lines, planes and quadric surfaces, plus detailed solved exercises.
8 mapped course placements
- ADP / Associate Degree Mathematics — Books, Notes & Solutions → Geometry / Analytic Geometry
- BS Mathematics — Books, Notes & Solutions → Geometry / Analytic Geometry / Calculus-related geometry
- Legacy BSc Mathematics — Calculus & Analytic Geometry / Geometry
- B.Ed Mathematics specialization — content/elective discovery where applicable
- MSc Mathematics — prerequisite and revision discovery only
- Mathematics Library — separate owner-resource record
- Geometry / Analytic Geometry subject hub — one canonical child card
- Related from Calculus, Differential Geometry, Vector & Tensor Analysis and Mechanics
Notes & SolutionsTMH-INTEGRAL-EQUATIONS-WAZWAZ-SOLUTIONS
Integral Equations — Complete Solved Solutions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Integral Equations / Fredholm / Volterra / Integral Equation SolutionsUniversity / BS Mathematics / MSc revision
Study Integral Equations with 426 mathematics-first worked problems and applications covering Fredholm, Volterra, integro-differential, singular and nonlinear equations, plus numerical methods and applications. Reference-aligned to Abdul-Majid Wazwaz, Second Edition. 9 chapters, 392 reference-aligned solved slots across Chapters 1–8 and 34 additional worked applications in Chapter 9.
7 mapped course placements
- University Mathematics → Integral Equations → Solutions
- BS Mathematics → Books, Notes & Solutions → Integral Equations → Solutions
- MSc / legacy MSc Mathematics → Integral Equations revision
- MS / MPhil Mathematics → supporting advanced reference discovery where applicable
- Mathematics Library → separate owner-resource record under Solutions
- Integral Equations subject path → Solutions child card
- Related from ODE, PDE, Numerical Analysis, Functional Analysis and Special Functions
Notes & SolutionsTMH-DIFFERENTIAL-GEOMETRY-COMPLETE
Differential Geometry — Complete Solved Notes
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Differential Geometry / Curves and SurfacesUniversity / BS, BSc, MSc, MS/MPhil foundation and revision
451-page, 30-chapter Differential Geometry resource covering curves, surfaces, curvature, fundamental forms, geodesics, Gauss–Bonnet and an introductory manifold/Riemannian bridge with fully solved mathematics.
8 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Differential Geometry / Geometry
- MSc and legacy MSc Mathematics — Differential Geometry / Applicable Differential Geometry revision
- Legacy BSc Mathematics — Applicable Differential Geometry / curves and surfaces
- ADP Mathematics — contextual discovery where the subject is offered or needed for BS completion
- MS/MPhil Mathematics — foundation/revision and bridge to Riemannian Geometry / manifolds, not a complete research text
- Mathematics Library — separate owner-resource record
- Differential Geometry subject hub — one canonical child card
- Related from Vector & Tensor Analysis, Multivariable Calculus, Topology, Mechanics, Mathematical Physics and Relativity
Notes & SolutionsTMH-GRAPH-THEORY-VOLUME-I
Graph Theory — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Graph Theory / Graph Algorithms / Discrete Graph TheoryUniversity / ADP, BS, legacy BSc, MSc and MS/MPhil foundation/revision
A 21-chapter university Graph Theory resource covering graph models, degree sequences, isomorphism, matrices, paths, connectivity, Eulerian and Hamiltonian graphs, trees, spanning trees, graph algorithms, planarity, duals, colouring, matching, digraphs, network flows, enumeration and applications.
8 mapped course placements
- ADP / Associate Degree Mathematics — Graph Theory / Introduction to Graph Theory discovery
- BS Mathematics — Graph Theory Volume I complete course resource
- Legacy BSc Mathematics — Graph Theory / Discrete Mathematics context
- MSc Mathematics — complete foundation and revision resource
- MS/MPhil Mathematics — foundation, prerequisite consolidation and revision; not a research-level replacement
- Mathematics Library — separate owner-resource record
- Graph Theory subject hub — one canonical child card
- Related from Discrete Mathematics, Linear Algebra, Numerical Analysis and Mathematics for Computing
Notes & SolutionsTMH-SPECIAL-FUNCTIONS-I
Special Functions-I — Volume I — Complete Solved Notes for BS & MSc Mathematics
Mehreen Kanwal — MPhil Mathematics · Rana Ali Hasan — MPhil Mathematics
Special Functions / Orthogonal Polynomials / Mathematical PhysicsUniversity / BS Mathematics, MSc Mathematics and legacy BSc/MSc revision
Study Special Functions I with solved BS/MSc notes on Gamma-Beta, hypergeometric, Bessel, Legendre, orthogonal polynomials, Airy functions and applications.
5 mapped course placements
- BS Mathematics — Books, Notes & Solutions → Special Functions / Mathematical Analysis / Mathematical Physics
- MSc Mathematics — Special Functions / Classical Special Functions revision and course discovery
- Legacy BSc/MSc Mathematics — Gamma/Beta, hypergeometric, Bessel, Legendre and orthogonal-polynomial revision
- Mathematics Library — separate owner-resource record
- Related from ODE, PDE, Complex Analysis, Real Analysis, Numerical Analysis, Linear Algebra and Mathematical Physics
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-MASTER
Basic Math MCQs — 25 Topic PDFs + Complete Master Book
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Basic Math MCQs / General Math / One-Paper ExamsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
2,650 fully solved general-math and quantitative questions for one-paper and screening-test preparation, organized into 25 topic modules with immediate mathematical solutions and mixed mock tests.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-01
Percentage MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Percentage MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering percentage of a quantity, fraction/decimal/percentage conversion, percentage increase and decrease, reverse percentage, successive percentage change, marks and result percentages. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-02
Ratio & Proportion MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Ratio & Proportion MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering simplifying ratios, equivalent ratios, sharing in a ratio, ratio from total or difference, direct proportion, inverse proportion. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-03
Average / Arithmetic Mean MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Average / Arithmetic Mean MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering direct arithmetic mean, missing observation, required next score, combined average, weighted average, joining/leaving member. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-04
Fractions & Decimals MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Fractions & Decimals MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering equivalent and simplest fractions, proper/improper/mixed fractions, fraction comparison, addition/subtraction of fractions, multiplication/division of fractions, fraction of a quantity. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-05
Number System MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Number System MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering natural/whole/integer/rational/irrational numbers, odd/even numbers, prime/composite numbers, divisibility rules, factors and multiples, HCF/GCD. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-06
Profit, Loss & Discount MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Profit, Loss & Discount MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering cost price/selling price/marked price, profit and loss amount, profit/loss percentage, reverse cost/selling price, single discount, successive discounts. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-07
Simple & Compound Interest MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Simple & Compound Interest MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering simple-interest principal/rate/time, simple-interest amount, reverse SI problems, compound-interest amount, annual/half-yearly/quarterly compounding, SI versus CI difference. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-08
Time & Work MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Time & Work MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering individual work rate, combined work, efficiency ratio, men-days-hours, workers joining/leaving, alternate-day work. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-09
Speed, Distance & Time MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Speed, Distance & Time MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering speed-distance-time formula, km/h and m/s conversion, average speed, relative speed, meeting and catch-up, trains crossing poles/platforms. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-10
Age Problems MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Age Problems MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering present/past/future ages, constant age difference, ratio plus sum/difference, future/past ratio, father-son, mother-daughter and family ages. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-11
Partnership & Profit Sharing MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Partnership & Profit Sharing MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering capital ratio, capital × time, unequal investment periods, partner joining/leaving, three-partner sharing, capital changed during year. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-12
Unitary Method, Rates & Variation MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Unitary Method, Rates & Variation MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering one-unit method, reverse unitary method, cost/quantity unit rates, production rates, distance/rate relations, direct proportion. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-13
Mixture & Alligation MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Mixture & Alligation MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering weighted concentration, alligation rule, mean price, mixing two concentrations, mixing prices, milk-water mixture. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-14
Algebraic Expressions, Identities & Factorization MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Algebraic Expressions, Identities & Factorization MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering terms/coefficient/substitution, like terms, algebraic simplification, expansion of brackets, standard identities, difference of squares. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-15
Linear & Simultaneous Equations MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Linear & Simultaneous Equations MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering one-step and multi-step linear equations, bracket equations, fractional equations, word-to-equation translation, consecutive-number equations, two-variable simultaneous systems. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-16
Quadratic Equations & Basic Inequalities MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Quadratic Equations & Basic Inequalities MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering factorable quadratic equations, quadratic formula, discriminant, nature of roots, sum/product of roots, forming equation from roots. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-17
Indices, Exponents, Roots & Surds MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Indices, Exponents, Roots & Surds MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering laws of indices, zero/negative exponents, fractional exponents, powers, square and cube roots, perfect powers. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-18
Number Series, Sequences & Missing Number MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Number Series, Sequences & Missing Number MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering arithmetic sequences, geometric sequences, first differences, second differences, square/cube patterns, alternating patterns. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-19
Geometry MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Geometry MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering lines and angle relations, straight-line/around-point angles, triangles and angle sum, isosceles/equilateral triangles, Pythagoras theorem, quadrilaterals. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-20
Mensuration MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Mensuration MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering rectangle/square perimeter and area, triangle area, parallelogram/trapezium, circle circumference/area, cube/cuboid, cylinder. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-21
Sets, Venn Diagrams, Symbols, Rounding & Approximation MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Sets, Venn Diagrams, Symbols, Rounding & Approximation MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering set notation and cardinality, union/intersection, complement, two-set Venn diagrams, three-set Venn diagrams, mathematical symbols. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-22
Basic Statistics & Data Interpretation MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Basic Statistics & Data Interpretation MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering mean/median/mode, range, frequency data, weighted mean, combined mean, missing data values. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
Notes & SolutionsTMH-COMPETITIVE-BASIC-MATH-23
Probability, Permutations & Combinations MCQs — 100 Solved Questions
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Probability, Permutations & Combinations MCQsCompetitive Exams / PPSC, FPSC & One-Paper Preparation
100 fully solved questions covering basic probability, complement probability, coins, dice, cards, balls/urns. Every MCQ includes four options and immediate mathematical working for fast competitive-exam practice.
3 mapped course placements
- Competitive Exams → Basic Math MCQs / One-Paper pathway
- Mathematics Library → Notes & Solutions → Solved MCQ Booklet
- PPSC, FPSC, CSS MPT, PMS and NTS → verify current official notice before use
