# PSLEArchive.com — 2026 Master Revision Cheat Sheet (English, Math, Science, Hindi)

## 1. PSLE Mathematics: Number & Figure Patterns Formulas
*(Ref: math_p5_p6_part1_unit_2.1-2.5_number_patterns.pdf & math_p6_paper2_question_triangle_figure_pattern_q14.pdf)*
- **Constant Difference (Arithmetic Sequence)**: `T_n = a + (n - 1) × d` (or `d × n + c`)
- **Square Numbers (1, 4, 9, 16, 25, ..., n²)**: Total small triangles in Figure *n* of a triangle grid = `n²`
- **Triangular Numbers (1, 3, 6, 10, 15, ...)**: `T_n = n(n + 1) / 2`
- **Gaussian Pairing Sum**: `Sum = (First Term + Last Term) × (Number of Terms ÷ 2)`

## 2. PSLE English: Synthesis & Transformation Rules & 120 Feelings
*(Ref: english_p6_2023_waterway_primary_synthesis_and_transformation_lesson_1_notes.pdf & lesson_2_notes.pdf)*
- **Because of / Due to** + **Noun Phrase**: *"Jacky was able to lift the metal bar because of his strength."*
- **Much to** + **Possessive + Abstract Noun**: *"Much to David's astonishment, the stranger pushed $50 into his hand."*
- **Despite / In spite of** + **(-ing gerund / noun phrase / the fact that)**: *"Despite being in pain / his pain / the fact that he was in pain..."*
- **...as well as... / ...together with...**: Verb agrees with the **FIRST subject** (*"Mrs Chen, as well as her children, **is** at the Science fair."*)
- **No matter** + *(how / what / where / when / who)*: *"No matter how tired the athletes were, they persisted."*
- **Show-Not-Tell Feelings** *(Ref: english_p6_120_ways_to_describe_characters_feelings.pdf)*:
  - *Joy*: eyes lit up with excitement; punched the air in jubilation; floating on air.
  - *Fear*: stood rooted to the ground; broke out in cold sweat; blood drained from his face.
  - *Relief*: heaved a sigh of relief; felt a huge load lifted off her mind.

## 3. PSLE Science: Booklet B Open-Ended Keywords (Man's Impact & Heat)
*(Ref: science_p6_2023_waterway_primary_partb_mans_impact_on_environment_topical_worksheet.pdf)*
- **Global Warming / Deforestation**: Fewer trees absorb less carbon dioxide during photosynthesis -> More heat is trapped by greenhouse gases in the atmosphere -> Global warming.
- **Soil Erosion & Eutrophication**: Soil eroded by rain washes into rivers -> increases turbidity / blocks sunlight -> submerged aquatic plants cannot photosynthesise to produce oxygen and food.
- **Condensation Template**: *Warmer water vapour in the surrounding air comes into contact with the cooler surface of X, loses heat, and condenses to form tiny water droplets.*

## 4. PSLE Hindi: Top Muhavare (Idioms) & Oral Golden Lines
*(Ref: hindi_p5_2021_sem_1_set_1_idioms_list_muhavare.pdf & hindi_p6_oral_revision_notes_topical_phrases_and_lines.pdf)*
- **पाँव ज़मीन पर न पड़ना**: बहुत खुश होना (To be overjoyed)
- **गुड़ गोबर होना**: बना-बनाया काम बिगड़ जाना (To spoil the show)
- **बाल-बाल बचना**: संकट से मुश्किल से बचना (A narrow escape)
- **कोल्हू का बैल**: दिन-रात कड़ी मेहनत करने वाला (Working tirelessly)
- **पाँव पर कुल्हाड़ी मारना**: अपना नुकसान स्वयं करना (To harm oneself)
- **Oral Moral Line (Follow Rules)**: *सार्वजनिक स्थानों और यातायात के नियमों का पालन करना प्रत्येक नागरिक का कर्तव्य है।*