UPTET Paper 1 cheat sheet

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, egocentrism, irreversibility), concrete operational (7–11, conservation, classification, seriation), formal operational (11+, abstract and hypothetical reasoning).

Vygotsky: Zone of Proximal Development is the gap between what a learner does alone and what they can do with guidance; scaffolding and social speech precede inner speech.

Kohlberg's moral levels: preconventional (punishment/obedience, instrumental exchange), conventional (good boy/girl, law and order), postconventional (social contract, universal ethical principles).

Erikson's school-relevant stages: industry vs inferiority (approx. 6–12 years) and identity vs role confusion (adolescence); success builds competence and a coherent self-concept.

Krashen's distinction between acquisition (subconscious, meaningful input) and learning (conscious rule study) underpins communicative language teaching.

Inclusive education principle: adapt the curriculum, method, and assessment to the child rather than requiring the child to fit a fixed norm; the term for this is 'curriculum adaptation'.

Assessment for learning is formative and diagnostic; assessment of learning is summative. Continuous and comprehensive evaluation (CCE) combines scholastic and co-scholastic domains.

Intelligence views: Spearman's g factor, Gardner's multiple intelligences, Sternberg's triarchic theory (analytical, creative, practical), and Guilford's structure of intellect.

वर्णमाला में स्वर 11 और व्यंजन 33 होते हैं; 'अ' से 'औ' तक स्वर, 'क' से 'ह' तक व्यंजन।

स्वर के तीन भेद: ह्रस्व (अ, इ, उ, ऋ), दीर्घ (आ, ई, ऊ, ॠ), और प्लुत (त्रिमात्रिक, केवल उदाहरणात्मक)।

व्यंजन के भेद: स्पर्श (क–म), अंतःस्थ (य, र, ल, व), और ऊष्म (श, ष, स, ह)।

संधि के प्रकार: स्वर संधि (दीर्घ, गुण, वृद्धि, यण, अयादि), व्यंजन संधि, और विसर्ग संधि; उदाहरण: सूर्य + उदय = सूर्योदय (गुण संधि)।

समास के छह भेद: अव्ययीभाव, तत्पुरुष, कर्मधारय, द्विगु, द्वंद्व, और बहुव्रीहि; 'चौराहा' द्विगु समास है।

उपसर्ग अर्थ बदलते हैं: 'अनु' का अर्थ 'पीछे/साथ' (अनुकरण), 'प्रति' का अर्थ 'विरुद्ध/ओर' (प्रतिकूल), 'नि' का अर्थ 'नीचे/बिना' (निराशा)।

अलंकार: अनुप्रास (वर्ण की आवृत्ति), उपमा (समानता वाचक शब्द सहित), रूपक (अभेद आरोप), उत्प्रेक्षा (जनु, मनु, मानो), और यमक (एक शब्द भिन्न अर्थ में दोहराया)।

भाषा शिक्षण कौशल: श्रवण, वाचन, पठन, और लेखन; पठन के दो स्तर - सस्वर (मौन पठन से भिन्न) और मौन पठन।

Tense-aspect grid: simple (habit/fact), continuous (in progress), perfect (completed before a reference point), perfect continuous (duration up to a point).

Modal meanings: 'must' = strong obligation or logical certainty; 'should' = advice; 'may' = permission or possibility; 'can' = ability or general possibility.

Passive voice rule: object of active becomes subject; verb becomes be + past participle; agent introduced by 'by'. Example: 'She wrote it' → 'It was written by her'.

Reported speech backshift: present → past, past → past perfect, will → would; time/place words shift (now → then, here → there, today → that day).

Conditionals: zero (if + present, present), first (if + present, will + base), second (if + past, would + base), third (if + past perfect, would have + past participle).

Relative clauses: defining clauses give essential information and take no commas; non-defining clauses add extra information, take commas, and cannot use 'that'.

Common error pattern: subject–verb agreement with collective nouns takes singular verb when the group acts as one unit; 'news', 'mathematics', 'furniture' are singular/uncountable.

Phonology terms: phoneme (contrastive sound unit), morpheme (smallest meaning unit), allophone (variant of a phoneme), and minimal pair (two words differing by one phoneme, e.g., 'pin'/'bin').

Place value: in a numeral, each digit's value is digit × (base raised to its position); in 4,507 the 5 is worth 500.

Divisibility tests: 3 (digit sum divisible by 3), 4 (last two digits divisible by 4), 8 (last three digits divisible by 8), 9 (digit sum divisible by 9), 11 (alternating digit-sum difference divisible by 11).

LCM × HCF = product of the two numbers (for two positive integers); use prime factorisation to find both.

Fractions: a/b + c/d = (ad + bc)/bd; division by a fraction equals multiplication by its reciprocal; a fraction is a part of a whole or a quotient.

Perimeter and area: rectangle P = 2(l + b), A = l × b; triangle A = ½ × base × height; circle C = 2πr, A = πr².

Average = sum of observations ÷ number of observations; if a value x is added to n values with mean m, new mean = (nm + x)/(n + 1).

Percentage: x% of N = (x/100) × N; percentage increase = (increase ÷ original) × 100; successive discounts of a% and b% give net = a + b − ab/100.

Ratio and proportion: if a:b = c:d then ad = bc; unitary method finds value of one unit first; speed = distance ÷ time.

Measurement conversions: 1 km = 1000 m, 1 m = 100 cm, 1 kg = 1000 g, 1 litre = 1000 mL, 1 hour = 60 minutes.

Food chain order: producers (green plants) → primary consumers (herbivores) → secondary consumers (carnivores) → decomposers; energy decreases at each trophic level (10% law).

Human body systems: digestive (mouth to anus), respiratory (nose–lungs–alveoli), circulatory (heart, arteries, veins), skeletal (206 bones in an adult), and nervous (brain, spinal cord, nerves).

States of matter: solid (fixed shape and volume), liquid (fixed volume, takes container shape), gas (fills container); change of state involves heat gain or loss.

Water cycle stages: evaporation, transpiration, condensation, precipitation, and collection; the sun is the energy source.

Air composition by volume: about 78% nitrogen, 21% oxygen, 0.9% argon, 0.04% carbon dioxide; oxygen supports combustion and respiration.

Living vs non-living criteria: growth, respiration, reproduction, response to stimuli, and excretion; a seed germinates only with water, air, and suitable temperature.

Community helpers and services: doctor, teacher, police, firefighter, farmer, postman, sanitation worker; public transport and postal systems are public services.

Natural resources: renewable (sunlight, wind, water, forests) versus non-renewable (coal, petroleum, minerals); conservation includes reduce, reuse, recycle.

Safety and first aid: burns - cool with running water, not ice; cuts - clean and cover; electric shock - switch off supply before touching the person.

Piaget's stages: sensorimotor (0–2, object permanence), preoperational (2–7, egocentrism, irreversibility), concrete operational (7–11, conservation, classification, seriation), formal operational (11+, abstract and hypothetical reasoning).

Vygotsky: Zone of Proximal Development is the gap between what a learner does alone and what they can do with guidance; scaffolding and social speech precede inner speech.

Kohlberg's moral levels: preconventional (punishment/obedience, instrumental exchange), conventional (good boy/girl, law and order), postconventional (social contract, universal ethical principles).

Erikson's school-relevant stages: industry vs inferiority (approx. 6–12 years) and identity vs role confusion (adolescence); success builds competence and a coherent self-concept.

Krashen's distinction between acquisition (subconscious, meaningful input) and learning (conscious rule study) underpins communicative language teaching.

Inclusive education principle: adapt the curriculum, method, and assessment to the child rather than requiring the child to fit a fixed norm; the term for this is 'curriculum adaptation'.

Assessment for learning is formative and diagnostic; assessment of learning is summative. Continuous and comprehensive evaluation (CCE) combines scholastic and co-scholastic domains.

Intelligence views: Spearman's g factor, Gardner's multiple intelligences, Sternberg's triarchic theory (analytical, creative, practical), and Guilford's structure of intellect.

वर्णमाला में स्वर 11 और व्यंजन 33 होते हैं; 'अ' से 'औ' तक स्वर, 'क' से 'ह' तक व्यंजन।

स्वर के तीन भेद: ह्रस्व (अ, इ, उ, ऋ), दीर्घ (आ, ई, ऊ, ॠ), और प्लुत (त्रिमात्रिक, केवल उदाहरणात्मक)।

व्यंजन के भेद: स्पर्श (क–म), अंतःस्थ (य, र, ल, व), और ऊष्म (श, ष, स, ह)।

संधि के प्रकार: स्वर संधि (दीर्घ, गुण, वृद्धि, यण, अयादि), व्यंजन संधि, और विसर्ग संधि; उदाहरण: सूर्य + उदय = सूर्योदय (गुण संधि)।

समास के छह भेद: अव्ययीभाव, तत्पुरुष, कर्मधारय, द्विगु, द्वंद्व, और बहुव्रीहि; 'चौराहा' द्विगु समास है।

उपसर्ग अर्थ बदलते हैं: 'अनु' का अर्थ 'पीछे/साथ' (अनुकरण), 'प्रति' का अर्थ 'विरुद्ध/ओर' (प्रतिकूल), 'नि' का अर्थ 'नीचे/बिना' (निराशा)।

अलंकार: अनुप्रास (वर्ण की आवृत्ति), उपमा (समानता वाचक शब्द सहित), रूपक (अभेद आरोप), उत्प्रेक्षा (जनु, मनु, मानो), और यमक (एक शब्द भिन्न अर्थ में दोहराया)।

भाषा शिक्षण कौशल: श्रवण, वाचन, पठन, और लेखन; पठन के दो स्तर - सस्वर (मौन पठन से भिन्न) और मौन पठन।

Tense-aspect grid: simple (habit/fact), continuous (in progress), perfect (completed before a reference point), perfect continuous (duration up to a point).

Modal meanings: 'must' = strong obligation or logical certainty; 'should' = advice; 'may' = permission or possibility; 'can' = ability or general possibility.

Passive voice rule: object of active becomes subject; verb becomes be + past participle; agent introduced by 'by'. Example: 'She wrote it' → 'It was written by her'.

Reported speech backshift: present → past, past → past perfect, will → would; time/place words shift (now → then, here → there, today → that day).

Conditionals: zero (if + present, present), first (if + present, will + base), second (if + past, would + base), third (if + past perfect, would have + past participle).

Relative clauses: defining clauses give essential information and take no commas; non-defining clauses add extra information, take commas, and cannot use 'that'.

Common error pattern: subject–verb agreement with collective nouns takes singular verb when the group acts as one unit; 'news', 'mathematics', 'furniture' are singular/uncountable.

Phonology terms: phoneme (contrastive sound unit), morpheme (smallest meaning unit), allophone (variant of a phoneme), and minimal pair (two words differing by one phoneme, e.g., 'pin'/'bin').

Place value: in a numeral, each digit's value is digit × (base raised to its position); in 4,507 the 5 is worth 500.

Divisibility tests: 3 (digit sum divisible by 3), 4 (last two digits divisible by 4), 8 (last three digits divisible by 8), 9 (digit sum divisible by 9), 11 (alternating digit-sum difference divisible by 11).

LCM × HCF = product of the two numbers (for two positive integers); use prime factorisation to find both.

Fractions: a/b + c/d = (ad + bc)/bd; division by a fraction equals multiplication by its reciprocal; a fraction is a part of a whole or a quotient.

Perimeter and area: rectangle P = 2(l + b), A = l × b; triangle A = ½ × base × height; circle C = 2πr, A = πr².

Average = sum of observations ÷ number of observations; if a value x is added to n values with mean m, new mean = (nm + x)/(n + 1).

Percentage: x% of N = (x/100) × N; percentage increase = (increase ÷ original) × 100; successive discounts of a% and b% give net = a + b − ab/100.

Ratio and proportion: if a:b = c:d then ad = bc; unitary method finds value of one unit first; speed = distance ÷ time.

Measurement conversions: 1 km = 1000 m, 1 m = 100 cm, 1 kg = 1000 g, 1 litre = 1000 mL, 1 hour = 60 minutes.

Food chain order: producers (green plants) → primary consumers (herbivores) → secondary consumers (carnivores) → decomposers; energy decreases at each trophic level (10% law).

Human body systems: digestive (mouth to anus), respiratory (nose–lungs–alveoli), circulatory (heart, arteries, veins), skeletal (206 bones in an adult), and nervous (brain, spinal cord, nerves).

States of matter: solid (fixed shape and volume), liquid (fixed volume, takes container shape), gas (fills container); change of state involves heat gain or loss.

Water cycle stages: evaporation, transpiration, condensation, precipitation, and collection; the sun is the energy source.

Air composition by volume: about 78% nitrogen, 21% oxygen, 0.9% argon, 0.04% carbon dioxide; oxygen supports combustion and respiration.

Living vs non-living criteria: growth, respiration, reproduction, response to stimuli, and excretion; a seed germinates only with water, air, and suitable temperature.

Community helpers and services: doctor, teacher, police, firefighter, farmer, postman, sanitation worker; public transport and postal systems are public services.

Natural resources: renewable (sunlight, wind, water, forests) versus non-renewable (coal, petroleum, minerals); conservation includes reduce, reuse, recycle.

Safety and first aid: burns - cool with running water, not ice; cuts - clean and cover; electric shock - switch off supply before touching the person.