(a) 87.5 km/hr

Speed of second train $= \frac{400}{4} = 100$ km/hr.
Since speeds are in ratio $7:8$,
speed of first train $= 100 \times \frac{7}{8} = 87.5$ km/hr.

None of the given options is correct. A left after 8 days.

Total work = LCM(20, 30) = 60 units, so A does 3 units/day and B does 2 units/day. Let A leave after $x$ days. Together they do $5x$ units, and B alone then does the remaining work in 10 days, i.e. $2\times10=20$ units:

$5x + 20 = 60 \;\Rightarrow\; x = 8$

The data do not match options (a)-(d), so the question's figures appear to be misprinted.

(d) Ayurveda

Rigveda, Yajurveda and Atharvaveda are three of the four Vedas (Samaveda being the fourth), while Ayurveda is not a Veda — it is an Upaveda, a system of medicine attached to the Atharvaveda. Hence it is different from the rest.

(b) 3

Given:
$25(x-2)=5(2x-1)$
$25x-50=10x-5$
$15x=45$
$x=3$

(c) 12

All the other numbers — 3, 5, 7, 17 and 19 — are prime numbers, while 12 is a composite number.

(a) 24

C = 3, A = 1, T = 20, so CAT = 3 + 1 + 20 = 24.

(c) 9

9 is not a prime number because it has more than two factors: 1, 3, and 9.

(a) IPU

Each letter is shifted one step forward in the alphabet: C→D, O→P, L→M, D→E.
So H→I, O→P, T→U, giving IPU.

None of the given options.
He is 5 km north and 3 km east of the starting point, so the straight-line distance is
[ \sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}\text{ km}\approx 5.83\text{ km}. ]
If the question meant total distance walked, then it would be (5+3=8) km, i.e. option (d).

(c) 42

Differences: 6 − 2 = 4, 12 − 6 = 6, 20 − 12 = 8, 30 − 20 = 10.
Next difference = 12, so next term = 30 + 12 = 42.

Literary Genres in the Secondary Level (Grade 9–10) English Curriculum

1. Literary Genres Prescribed in Grade 9–10

The Secondary level English curriculum (Grade 9–10) of Nepal is organised around a genre-based approach. The reading texts are grouped into the following major literary genres:

(a) Poetry

• Lyric poetry – short, musical poems expressing personal feelings (e.g., The Road Not Taken, Crossing the Bar).
• Narrative poetry – poems that tell a story (e.g., ballads, The Chimney Sweeper).
• Sonnet – a 14-line poem with a fixed rhyme scheme (e.g., Shall I Compare Thee to a Summer's Day?).
• Free verse – poetry without regular metre or rhyme (e.g., The Voice of the Rain).
• Haiku – a short Japanese poetic form with 17 syllables (5-7-5).

(b) Drama

• One-act play – a short play performed in a single act (e.g., The Monkey's Paw, The Three Students).
• Radio drama / Screenplay – plays meant for radio or screen.
• Comedy and Tragedy – dramatic forms with humorous or serious endings.

(c) Prose (Fiction)

• Short story – a brief narrative with a single plot (e.g., The Selfish Giant, The Little Match Girl, The Wish).
• Novella / Long story – longer than a short story but shorter than a novel.
• Fairy tale / Folk tale – traditional stories with moral lessons (e.g., The Brave Little Tailor).
• Myth / Legend – stories explaining natural or cultural phenomena.
• Fable – short stories with animal characters and a moral (e.g., The Ant and the Grasshopper).

(d) Non-fiction (Prose)

• Essay – formal or informal writing on a topic (e.g., The Making of a Scientist).
• Biography / Autobiography – life stories of real people (e.g., Helen Keller, Mahatma Gandhi).
• Travelogue – accounts of journeys and places.
• Speech – written texts of public addresses (e.g., I Have a Dream).
• Diary / Journal – personal daily records.
• Letter – formal and informal correspondence.
• News report / Article – factual reporting of events.
• Interview – question-answer format with a personality.

(e) Folklore and Oral Literature

• Proverbs, riddles, folk songs, and ballads – oral traditions preserved in written form.

2. How These Genres Help in Developing Reading Skills

(a) Poetry

• Develops phonemic awareness and rhythm through rhyme, metre, and alliteration.
• Trains students to interpret figurative language (metaphor, simile, personification), which strengthens inferential reading.
• Builds vocabulary through concise, image-rich language.
• Encourages appreciation of aesthetic and cultural values.

(b) Drama

• Develops dialogic reading – students read aloud with expression, improving fluency and pronunciation.
• Trains students to follow plot, conflict, and character development across scenes.
• Enhances predictive and critical reading as students anticipate outcomes.
• Builds awareness of stage directions, dialogue tags, and dramatic irony.

(c) Short Stories and Fiction

• Strengthens narrative comprehension – identifying setting, characters, plot, theme, and point of view.
• Develops sequencing and summarizing skills.
• Encourages empathy by placing readers in characters' situations.
• Builds inference and prediction through suspense and twist endings.

(d) Non-fiction

• Develops informational reading – skimming, scanning, and extracting main ideas.
• Trains students to distinguish fact from opinion and identify bias.
• Builds academic and content-area vocabulary and knowledge of real-world contexts.
• Strengthens critical reading through analysis of arguments and evidence.

(e) Folklore and Oral Literature

• Connects reading to cultural identity and local knowledge.
• Develops listening–reading integration through oral performance.
• Builds moral reasoning through fables and folk tales.

3. How These Genres Help in Developing Writing Skills

(a) Poetry

• Develops creative writing – students compose their own poems using rhyme, rhythm, and imagery.
• Trains in word choice, conciseness, and figurative expression.
• Builds sensitivity to sound devices (alliteration, assonance, onomatopoeia).

(b) Drama

• Develops script writing – dialogue, stage directions, and character creation.
• Trains in conversational writing and register variation (formal/informal).
• Builds narrative structure through acts and scenes.

(c) Short Stories and Fiction

• Develops narrative writing – plot, setting, character, conflict, and resolution.
• Trains in descriptive, narrative, and reflective writing.
• Builds paragraph coherence and story sequencing.

(d) Non-fiction

• Develops expository, persuasive, and argumentative writing.
• Trains in essay structure – introduction, body, conclusion.
• Builds report writing, letter writing, and article writing skills.
• Strengthens research, note-taking, and referencing skills.

(e) Folklore and Oral Literature

• Develops retelling and adaptation of stories.
• Trains in translation and cultural writing.
• Builds narrative voice and oral-to-written transformation.

4. Conclusion

The genre-based Secondary English curriculum of Grade 9–10 exposes students to poetry, drama, fiction, non-fiction, and folklore. Each genre serves a distinct purpose: poetry sharpens interpretive and creative skills; drama builds fluency and dialogue writing; fiction develops narrative comprehension and composition; non-fiction strengthens informational reading and academic writing; and folklore connects literacy to culture. Together, these genres provide a balanced, integrated approach that develops critical reading, creative expression, and effective writing – the core aims of the Secondary level English curriculum.

Integrated teaching of reading and writing versus isolated teaching — an evaluation

1. Meaning of the two approaches

Isolated teaching treats reading and writing as separate subjects with separate periods, separate textbooks and separate tests. Reading means reading a passage aloud and answering comprehension questions; writing means copying, dictation, or writing an essay on a given topic. The two skills never meet.

Integrated teaching treats reading and writing as two faces of the same act of meaning-making. Students read a text, analyse its content, organisation and language, and then use that text as a model or as a source for their own writing. Writing, in turn, is read, responded to and revised. Reading feeds writing and writing deepens reading.

2. Why integration is more effective

1. Reading provides the input that writing needs. A learner cannot write a description, a letter, a news report or an argument unless he or she has seen many such texts. The reading text supplies vocabulary, sentence patterns, paragraph structure and discourse organisation. In isolated teaching the writing task is set without this input, so the learner writes from an empty store.

2. Writing makes reading purposeful. When students know that they must write a summary, a review, a reply or a report based on the text, they read with attention to meaning, structure and language rather than only to pronounce words. Comprehension improves because the reading has an outcome.

3. Skills reinforce each other. Vocabulary met in reading is recycled in writing; structures practised in writing are recognised more easily in reading. This recycling is what makes learning durable. Isolated teaching gives no such recycling.

4. It reflects real language use. In real life we read something and then write about it — a notice and then an application, a report and then a summary. Integration therefore develops transferable competence, not examination-only skill.

5. It saves time and reduces overload. One text can serve listening, speaking, reading, grammar, vocabulary and writing. Isolated teaching repeats content in different periods and tires the learner.

6. It supports process writing. Integration naturally allows pre-writing (reading and brainstorming), drafting, peer feedback, editing and publishing — the stages that actually improve writing. Isolated teaching usually jumps straight to the final product.

3. Impact on secondary-level learners' writing skill

Secondary learners in Nepal are, as noted, hardly exposed to academic writing. The impact of integration on them is as follows:

• Model availability: they get authentic models (essays, reports, letters, articles) instead of writing in the dark. Their writing becomes organised into introduction, body and conclusion.
• Vocabulary and register: academic words and formal expressions are picked up from texts and reused, so writing moves away from spoken, informal style.
• Coherence and cohesion: linking devices, topic sentences and paragraph unity are learned through reading and applied in writing.
• Reduced copying and memorisation: students learn to transform, summarise and paraphrase source texts rather than reproduce them.
• Confidence and motivation: writing about something already read reduces fear of the blank page; peer response and publication give a real audience.
• Critical thinking: comparing texts, taking a position and supporting it with evidence from reading develops argumentative writing.
• Assessment alignment: it prepares students for examination tasks such as writing a paragraph, an essay, a letter or a report based on a given text or topic.

4. Limitations to note

Integration demands more preparation time, well-chosen texts and trained teachers; without careful design the reading may dominate and writing may remain a mere appendage. Large classes make process writing and feedback difficult. These are practical constraints, not arguments against the model.

5. Conclusion

Isolated teaching produces learners who can answer comprehension questions and reproduce memorised essays, but who cannot write independently for academic purposes. Integrated teaching, by contrast, uses reading as input, model and stimulus for writing, and uses writing as the proof of comprehension. For secondary-level learners who lack exposure to academic writing, integration is therefore not merely a better method — it is the necessary condition for developing genuine writing skill.

Differences Between Action Research and Experimental Research Designs

Action research is a small-scale, practitioner-led inquiry conducted by a teacher in his or her own classroom to solve an immediate local problem and improve practice. Experimental research is a formal, large-scale study in which the researcher deliberately manipulates one or more independent variables under controlled conditions to establish cause-and-effect relationships.

The main differences are:

In short, action research is practitioner-oriented, local and cyclical, whereas experimental research is researcher-oriented, controlled and generalizable.

Relevance of Action Research in Teaching English as a Second Language in Nepal

Action research is highly relevant for the teaching of English as a second language (ESL) in Nepal for the following reasons:

1. Context-specific problems. Nepali ESL classrooms are multilingual, multi-ethnic and mixed-ability. Problems such as poor pronunciation, mother-tongue interference, low speaking confidence, and low reading comprehension differ from class to class. Action research allows the teacher to identify and solve these specific problems rather than applying imported solutions.

2. Large, heterogeneous classes. With 40–60 students in a class and limited teaching materials, a teacher cannot rely only on general theories. Action research helps test practical strategies — pair work, group work, role play, jigsaw reading, flash cards — and keep what works.

3. Teacher as researcher and reflective practitioner. It develops reflective teaching, self-evaluation and professional growth. The teacher learns by doing, which is itself a model of active learning for students.

4. Improves students' communicative competence. ESL aims at listening, speaking, reading and writing skills. Action research cycles (plan → act → observe → reflect) allow the teacher to try a new technique, observe its effect on students' fluency or accuracy, and refine it in the next cycle.

5. Addresses local constraints. Lack of English-speaking environment, unavailability of native-speaker models, exam-oriented teaching, and rural-urban disparity are common. Action research finds low-cost, locally feasible solutions such as using radio, mobile apps, local stories and peer tutoring.

6. Empowers teachers and schools. It builds confidence, reduces dependence on external experts, and creates a culture of inquiry. Findings can be shared in staff meetings, teacher networks and local resource centres, benefiting other teachers too.

7. Supports curriculum and textbook implementation. Nepal's secondary English curriculum emphasises communicative and learner-centred approaches. Action research helps the teacher adapt textbook tasks to the real level of learners and to the local context.

8. Cost-effective and time-friendly. It does not require a laboratory, expensive equipment or a long leave. It can be done alongside regular teaching, using simple tools like observation notes, checklists and short quizzes.

Conclusion: Action research bridges the gap between theory and classroom practice. In Nepal, where ESL teaching faces diverse linguistic, cultural and resource challenges, it is not merely useful but essential for continuous improvement of English language teaching and for the professional development of teachers.

(a)

Four foundations of mathematics education (2 marks)

1. Philosophical foundation — beliefs about the nature of mathematics (whether it is discovered or invented, absolute or fallible) and about the aims and values of teaching it.
2. Psychological foundation — knowledge of how children learn: Piaget's stages of cognitive development, Bruner's modes of representation, Vygotsky's social learning and the ZPD, learning by doing and readiness.
3. Sociological foundation — the social and cultural context of the learner: language, home environment, ethnicity, gender, and the role of mathematics in society and daily life.
4. Logical (mathematical) foundation — the internal structure of mathematics itself: axioms, definitions, theorems, proof, precision of language and symbols, and the hierarchical, sequential nature of the subject.

(Other acceptable ones: historical foundation, pedagogical foundation, biological foundation.)

Philosophy of mathematics (1 mark)

Philosophy of mathematics is the branch of philosophy that studies the nature, meaning and justification of mathematics. It asks questions such as: What is mathematics? Are mathematical objects (numbers, sets, points) real things that exist independently, or only human constructions? How do we come to know mathematical truths? What makes a mathematical statement true? Its main schools are logicism (mathematics reduces to logic), formalism (mathematics is a game of symbols and rules), intuitionism/constructivism (mathematics is built by the mind) and Platonism (mathematical objects exist in an ideal world).

Why a teacher must study it (2 marks)

1. Decides aims and content — a teacher's philosophy determines whether the goal is rote computation or reasoning, problem solving and application; hence what to teach and how much.
2. Chooses suitable methods — a formalist view leads to lecture and drill, while a constructivist view leads to activity, discovery and group work. Philosophy guides this choice.
3. Makes teaching meaningful — it helps the teacher answer pupils' questions like "Why do we learn this?" and "Is this true always?", linking mathematics to real life.
4. Develops the right attitude and values — it builds in the teacher (and through him in students) confidence, curiosity, logical thinking, honesty and tolerance of others' ideas.
5. Guides curriculum, textbook and evaluation — it gives criteria for selecting and organising subject matter and for judging whether understanding, not memorisation, has been achieved.
6. Professional growth — it enables the teacher to justify mathematics as a school subject to parents, society and the curriculum authority, and to keep teaching in step with new ideas.