Assam ASSEB Higher Secondary Education study materials
Assam ASSEB Higher Secondary Education study resources

Assam ASSEB Higher Secondary Education cheat sheet

Assam ASSEB Higher Secondary Education · Keep the key ideas within reach.

Quick reference

Languages: Assamese, Alternative English, Modern Indian and Classical Languages

  • Assamese script derives from the Brahmi lineage through Kamarupi; the Assamese alphabet has 11 vowel letters (স্বরবর্ণ) and 41 consonant letters (ব্যঞ্জনবর্ণ) in standard school counting.

  • The Assamese 'ৰ' (ro) and 'ৰ' vs 'ড়'/'ঢ়' distinction: ৰ is a flap, ড়/ঢ় are retroflex flaps; the Assamese ৱ (wo) corresponds to Bengali ব in many cognates.

  • Sanskrit classical-language questions typically test sandhi types: svara sandhi (vowel), vyañjana sandhi (consonant), visarga sandhi; identify by the final sound of the first word.

  • Assamese case markers: -এ nominative/ergative, -ক accusative/dative, -ৰ genitive, -ত locative, -এৰে/-ৰে instrumental; agreement in number and person follows the subject.

  • Alternative English composition scoring rewards task fulfilment, cohesion devices, register consistency and range of structures over length; word limits are enforced with penalty.

  • Classical language status in India is a government designation; Assamese was granted classical language status in 2024, alongside Pali, Prakrit and Marathi in the same round.

  • For unseen prose comprehension in Alternative English, answer in your own words; lifting full sentences usually forfeits marks even when content is correct.

  • Assamese idioms (খণ্ডবাক্য) are fixed expressions; meaning cannot be derived word-by-word, so learn each idiom with a single contextual example sentence.

Quick reference

English

  • Reading comprehension question types: literal detail, inference, vocabulary-in-context, tone/attitude, and author's purpose; each requires textual evidence, not prior knowledge.

  • Active to passive transformation preserves tense and aspect: 'They have finished the work' becomes 'The work has been finished (by them)'; the auxiliary carries the tense.

  • Reported speech backshift: present simple to past simple, present perfect to past perfect, will to would; time and place words shift (now to then, here to there, tomorrow to the next day).

  • Determiners: 'a/an' for singular countable indefinite, 'the' for definite or unique reference, zero article for generic plurals and abstract nouns used generally.

  • Common error traps: subject-verb agreement with collective nouns, 'neither...nor' taking the nearer subject, and 'one of the + plural noun + singular verb'.

  • Formal letter and notice formats are marked on layout: sender's address, date, receiver, salutation, subject line, body paragraphs, and complimentary close.

  • Figures of speech: simile uses like/as, metaphor states identity, personification gives human traits, oxymoron joins opposites, metonymy substitutes an associated noun.

  • Punctuation rules tested: comma in non-defining relative clauses, semicolon between independent clauses, apostrophe placement for singular vs plural possessives.

Quick reference

Mathematics

  • Quadratic formula: x = [-b ± sqrt(b² - 4ac)] / 2a; discriminant D = b² - 4ac gives D>0 distinct real, D=0 equal real, D<0 complex conjugate roots.

  • Derivative rules: d/dx(xⁿ)=nxⁿ⁻¹; product rule (uv)'=u'v+uv'; quotient rule (u/v)'=(u'v-uv')/v²; chain rule dy/dx = dy/du · du/dx.

  • Integration by parts: ∫u dv = uv - ∫v du; choose u by the ILATE order (Inverse trig, Logarithmic, Algebraic, Trigonometric, Exponential).

  • Standard limits: lim(x→0) sin x / x = 1; lim(x→0) (1-cos x)/x² = 1/2; lim(x→0) (eˣ-1)/x = 1; lim(x→0) log(1+x)/x = 1.

  • Probability: P(A∪B) = P(A)+P(B)-P(A∩B); conditional P(A|B)=P(A∩B)/P(B); independent events satisfy P(A∩B)=P(A)P(B).

  • Binomial theorem: (a+b)ⁿ = Σ C(n,r) aⁿ⁻ʳ bʳ for r=0..n; general term T(r+1) = C(n,r) aⁿ⁻ʳ bʳ.

  • Conic sections: circle x²+y²=r²; parabola y²=4ax with focus (a,0) and directrix x=-a; ellipse x²/a²+y²/b²=1 with e=sqrt(1-b²/a²).

  • Vectors: a·b = |a||b|cosθ (scalar), a×b = |a||b|sinθ n̂ (vector, perpendicular to both); a·b=0 means perpendicular, a×b=0 means parallel.

Quick reference

Physics

  • Kinematic equations for uniform acceleration: v=u+at; s=ut+½at²; v²=u²+2as; valid only when acceleration is constant.

  • Newton's second law in vector form F=dp/dt; for constant mass F=ma. Impulse J=∫F dt equals change in momentum.

  • Work-energy theorem: W_net = ΔKE. Conservative forces have potential energy; friction is non-conservative and path-dependent.

  • Ohm's law V=IR; series R=R₁+R₂+..., parallel 1/R=1/R₁+1/R₂+...; power P=VI=I²R=V²/R.

  • Lens and mirror formula: 1/v - 1/u = 1/f for lenses (Cartesian sign convention), 1/v + 1/u = 1/f for mirrors; magnification m=v/u (mirror) or m=v/u with sign conventions.

  • Photoelectric equation: hν = φ + KE_max, with threshold frequency ν₀ = φ/h; stopping potential V₀ satisfies eV₀ = KE_max.

  • de Broglie wavelength λ = h/p = h/(mv); for an electron accelerated through V volts, λ ≈ 12.27/√V Å.

  • First law of thermodynamics ΔQ = ΔU + ΔW; for an adiabatic process PVᵞ = constant, where γ = Cp/Cv.

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Chemistry

  • Mole concept: 1 mol = 6.022×10²³ particles = molar mass in grams; molarity M = moles solute / litres solution; molality m = moles solute / kg solvent.

  • Ideal gas equation PV = nRT with R = 0.0821 L·atm·mol⁻¹·K⁻¹ or 8.314 J·mol⁻¹·K⁻¹; use Kelvin always.

  • Le Chatelier's principle: increasing pressure shifts equilibrium toward fewer gas moles; increasing temperature favours the endothermic direction.

  • pH = -log[H⁺]; pOH = -log[OH⁻]; pH + pOH = 14 at 25 °C; strong acid/base fully dissociates, weak partially with Ka or Kb.

  • Hybridisation from steric number: 2 = sp (linear), 3 = sp² (trigonal planar), 4 = sp³ (tetrahedral), 5 = sp³d, 6 = sp³d².

  • SN1 proceeds via carbocation (rate depends on substrate only, favours tertiary and polar protic solvents); SN2 is one-step backside attack (favours primary, polar aprotic).

  • Markovnikov's rule: in HX addition to an alkene, H adds to the carbon with more hydrogens; peroxide effect gives anti-Markovnikov for HBr only.

  • Balancing redox in acidic medium: balance atoms, balance O with H₂O, balance H with H⁺, then balance charge with electrons; in basic medium add OH⁻ to neutralise H⁺.

Quick reference

Biology, Botany and Zoology

  • Photosynthesis: light reactions in thylakoid membranes produce ATP and NADPH and split water (oxygen source); Calvin cycle in stroma fixes CO₂ via RuBisCO.

  • Mendel's laws: dominance, segregation (alleles separate in gamete formation), and independent assortment (genes on different chromosomes assort independently).

  • DNA structure: antiparallel double helix, adenine pairs with thymine (2 H-bonds), guanine with cytosine (3 H-bonds); replication is semi-conservative.

  • Central dogma: DNA to RNA (transcription) to protein (translation); codons are triplet and degenerate, with AUG as start codon.

  • Human blood circulation: right side handles deoxygenated blood to lungs, left side oxygenated to body; SA node is the natural pacemaker.

  • Nephron function: filtration at glomerulus, selective reabsorption in proximal convoluted tubule, concentration in loop of Henle, secretion and collection in distal tubule.

  • Plant tissue systems: epidermal (protection), ground/parenchyma (storage, photosynthesis), vascular xylem (water, dead) and phloem (food, living with companion cells).

  • Taxonomy hierarchy: Domain, Kingdom, Phylum, Class, Order, Family, Genus, Species; binomial nomenclature uses italicised Genus species with capitalised genus.

Quick reference

Science Stream Electives (Computer Science, Statistics, Geology, Home Science, etc.)

  • Computer Science number systems: convert binary to decimal by positional powers of 2; hexadecimal groups 4 bits; 1 byte = 8 bits.

  • Boolean algebra identities: A + A' = 1, A·A' = 0, De Morgan's laws (A+B)' = A'·B' and (A·B)' = A' + B'.

  • Python basics: indentation defines blocks; range(a,b) excludes b; list is mutable, tuple immutable; '==' compares values, 'is' compares identity.

  • Statistics measures: mean = Σx/n; variance = Σ(x-x̄)²/n (population) or /(n-1) (sample); standard deviation is its square root; CV = (SD/mean)×100.

  • Correlation coefficient r lies in [-1,1]; r=0 indicates no linear relation, not necessarily independence; regression line is y = a + bx with b = r(Sy/Sx).

  • Geology: Mohs hardness scale runs talc 1 to diamond 10; igneous rocks form from cooling magma (intrusive coarse, extrusive fine), sedimentary from deposition, metamorphic under heat/pressure.

  • Home Science nutrition: energy values are 4 kcal/g for carbohydrate and protein, 9 kcal/g for fat; balanced diet matches energy and micronutrient needs.

  • Probability distributions: binomial mean np, variance np(1-p); normal distribution is symmetric about mean with 68-95-99.7 rule for 1, 2, 3 SD.

Quick reference

Arts Stream Electives (History, Political Science, Economics, Geography, Sociology, Philosophy, Education, Psychology, etc.)

  • Indian Constitution: adopted 26 November 1949, came into force 26 January 1950; Fundamental Rights in Part III, Directive Principles in Part IV.

  • Economics: price elasticity of demand = (% change in quantity) / (% change in price); demand is elastic when |E|>1, inelastic when |E|<1.

  • National income: GDP at market price = GNP minus net factor income from abroad; GDP deflator = (nominal GDP / real GDP) × 100.

  • Geography: monsoon onset in Assam is driven by the Bay of Bengal branch; Brahmaputra is a braided, sediment-heavy river forming Majuli, the largest river island.

  • Sociology: primary groups are small, face-to-face, enduring (family, peer); secondary groups are formal, impersonal and goal-oriented (bureaucracy).

  • Psychology: classical conditioning pairs a neutral stimulus with an unconditioned stimulus (Pavlov); operant conditioning shapes behaviour through reinforcement and punishment (Skinner).

  • Education: Bloom's taxonomy cognitive levels run Remember, Understand, Apply, Analyse, Evaluate, Create; assessment for learning differs from assessment of learning.

  • Philosophy: deductive arguments aim at validity (conclusion follows premises); inductive arguments aim at strength (probability), never certainty.

Quick reference

Commerce Stream Electives (Accountancy, Business Studies, Finance, Entrepreneurship, etc.)

  • Accounting equation: Assets = Liabilities + Capital; every transaction preserves this balance under double entry.

  • Golden rules: debit the receiver and credit the giver (personal); debit what comes in and credit what goes out (real); debit expenses/losses and credit incomes/gains (nominal).

  • Depreciation methods: straight line = (Cost - Scrap)/Useful life each year; written down value applies a fixed percentage to the reducing book value.

  • Trial balance totals must agree; a balanced trial balance detects arithmetic errors but not errors of principle or complete omission.

  • Working capital = Current Assets - Current Liabilities; current ratio = CA/CL; quick ratio excludes stock and prepaid expenses.

  • Break-even quantity = Fixed Cost / (Selling Price - Variable Cost per unit); contribution per unit is price minus variable cost.

  • Business environment dimensions: economic, social, technological, political and legal; SWOT pairs internal strengths/weaknesses with external opportunities/threats.

  • Entrepreneurship stages: idea generation, feasibility analysis, business plan, arrangement of resources, launch, and growth with risk management.

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Vocational and Skill-Based Subjects

  • Employability skills assessment covers communication, self-management, ICT, entrepreneurship and green skills; each is scored separately in vocational theory papers.

  • Safety protocol: report hazards, use personal protective equipment, follow lockout/tagout before servicing machinery, and record incidents in the register.

  • Basic accounting for trades: cost of job = material cost + labour cost + overhead allocation; quote price adds the target margin.

  • ICT skills: spreadsheet formulas begin with '='; relative references shift on copy, absolute references use '$' to lock row or column.

  • Customer service standards: greet, identify need, provide solution, confirm satisfaction, document the interaction; complaint escalation follows a defined hierarchy.

  • Measurement and quality control: tolerance is the permitted deviation from nominal size; a sample failing tolerance triggers calibration check before rejection.

  • Entrepreneurial costing for a small trade: fixed costs recur regardless of output; variable costs scale with units; pricing must cover both plus margin.

  • Documentation for projects: record aim, method, observations, results and conclusion; a logbook with dated entries is required evidence for skill assessment.

Quick reference

Practical Examinations and Internal Assessment / Project Work

  • Internal assessment marks are split by CBSE-style patterns into periodic tests, notebook maintenance, subject enrichment and practical work; each component has a fixed maximum.

  • Practical exam marks are awarded for procedure, observation, calculation, result accuracy and viva; a correct result with wrong units still loses marks.

  • Project reports need a defined structure: title, objective, introduction, methodology, observations/data, analysis, conclusion, bibliography and acknowledgement.

  • Viva questions typically probe why a control was used, sources of error, and the principle behind the chosen method; know the 'why' for each step.

  • Physics practicals: record least count of instruments, take repeat readings, report mean with correct significant figures, and plot graphs with labelled axes and units.

  • Chemistry practicals: salt analysis reports cation and anion with confirmatory tests; titration records concordant readings, and molarity uses M₁V₁/n₁ = M₂V₂/n₂.

  • Biology practicals: slide mounting, focused diagram with magnification, and labelled parts; record the specimen's identifying features, not just its name.

  • Record-keeping rule: all observations must be entered in ink at the time of the experiment, signed by the teacher; later insertion invalidates data.