Duration, fees and batch timings are quoted by the head office or your centre.
In this family
12courses
13study books
133lessons
523practice questions
0free ebooks
The courses
12 courses in this family
What each course is about, who it suits, what you practise and the study material that comes with it. Each course has a full page with every lesson, sample questions and admission details.
What makes a game fun and how it is built: rules, levels, characters and scoring, made in Scratch first and then with the ideas behind an engine such as Godot.
Who it suits
Students who already make small Scratch projects and want to make a real game
Children who want to understand the games they play
Coding club members looking for a project
Teenagers thinking about game development as a career
What you will practise
Explain goals, rules, challenge, feedback and the game loop
Write a one-page game design document
Design characters, animations, levels and a difficulty curve
Build scoring, lives, timers and win and lose states in Scratch with events, clones and collisions
The thinking behind olympiad questions: number patterns, divisibility, fractions and ratios, geometry, counting, logic puzzles and how to show your working.
Who it suits
Students preparing for school-level maths olympiads and talent searches
Children who find textbook sums easy and want harder problems
Students who want to strengthen maths before class 9
Parents looking for structured puzzle practice
What you will practise
Tell an olympiad problem from a textbook sum, and write clear working
Continue and explain number patterns and sequences
Use divisibility rules, primes, HCF and LCM to solve problems
Work with fractions, decimals, percentages and ratio in word problems
Taking a science project from an idea to the exhibition table: choosing a question, planning, building, testing, keeping a record, the report and the presentation.
Who it suits
Students entering a school science exhibition or a district or state fair
Students of class 11 and 12 doing an investigatory project
Robotics students who want to present what they build
Teachers who coach science club projects
What you will practise
Choose a question that can be tested, and tell a working model from an investigatory project
State a hypothesis, name the variables and design a fair test
Plan a timeline, a materials list and safety checks
Build a sturdy model, take repeat readings, average them and draw a graph
Every lesson of the study books that come with these courses in the student portal. Open a lesson to see its key points. Your centre gives you the syllabus, the duration and the fee.
Scratch Coding for Kids
For Scratch coding and Game design
Learn to think like a programmer with block-based Scratch: sprites and the stage, motion and coordinates, events, loops, conditions, variables, messages, a first game, debugging and staying safe online.
9 lessons
About 33 min of reading
40 practice questions
26 key terms
1Meet Scratch: stage, sprites and blocks4 key points · 3 min read
The stage is where the project plays and sprites are the characters on it.
Blocks are grouped into colour categories such as Motion, Looks and Events.
A script starts with an Events (hat) block, then blocks run top to bottom.
Click a block to test it and save your work often.
2Motion and coordinates4 key points · 4 min read
Motion blocks are blue and move or turn sprites.
The stage centre is (0, 0); x goes left and right, y goes down and up.
change moves from the current place, set jumps to an exact value.
Direction 90 is right, 0 is up, 180 is down and -90 is left.
3Looks, sound and events4 key points · 4 min read
Looks change costumes, size, visibility, speech and backdrops.
Sound blocks play sounds; "until done" makes the script wait.
Events (yellow) start scripts when something happens.
Many scripts can run at the same time.
4Loops: repeating things4 key points · 3 min read
A loop repeats the blocks inside it so you need fewer blocks.
repeat runs a fixed number of times, forever never stops by itself and repeat until waits for a condition.
A full shape turns a total of 360 degrees.
The wait block slows a loop so you can see what is happening.
5Decisions and sensing4 key points · 4 min read
If blocks run their blocks only when the condition is true.
Conditions come from Sensing and Operators and have a hexagon shape.
Put if blocks inside a forever loop so they are checked all the time.
pick random gives surprising numbers, like a dice.
6Variables and operators4 key points · 4 min read
A variable stores a value that can change while the project runs.
Use set to give a starting value and change to add or subtract.
Operators (green) do maths, joining and random numbers.
Lists store many values in one place.
7Messages and your own blocks4 key points · 3 min read
Broadcast and when I receive let sprites send signals to each other.
Clear message names such as game over keep projects easy to follow.
A My Block is your own block built from other blocks.
Custom blocks reduce repeated code and make changes easier.
8Making a game: catch the apples4 key points · 4 min read
A game combines events, loops, conditions, variables and messages.
Plan the sprites and variables before building.
A forever loop with if blocks checks keys, touching and scores all the time.
Test, balance the numbers and ask a friend to try the game.
9Debugging, saving and sharing safely4 key points · 4 min read
A bug is a mistake and debugging is finding and fixing it step by step.
Test small pieces, show variables and check hat blocks and the order of blocks.
Never share real name, address, school, phone number or passwords online.
Ask a trusted adult before sharing, be kind, report unkind behaviour and give credit when remixing.
Abacus and Vedic Maths
For Abacus and Vedic maths
Learn to read, set and calculate on the abacus with friendly rules, then pick up Vedic maths short-cuts such as multiplying by 11, squaring numbers ending in 5, Nikhilam and vertical and crosswise multiplication, with digit-sum checking and mental maths games.
10 lessons
About 37 min of reading
40 practice questions
25 key terms
1Meet the Abacus4 key points · 3 min read
An abacus has a frame, rods, beads and a reckoning bar.
The upper bead is worth 5 and each lower bead is worth 1.
Beads count only when they touch the bar.
One rod shows any digit from 0 to 9.
2Reading and Setting Numbers4 key points · 3 min read
The right-most rod is the ones rod, then tens, hundreds and so on.
The same bead is worth more on a rod further to the left.
An empty rod shows zero and keeps the other digits in the right place.
Read a number by adding the beads touching the bar on each rod.
3Adding on the Abacus4 key points · 4 min read
Push beads straight to the bar when there are enough of them.
Small friends use 5: +4 means +5 - 1.
Big friends use 10: +9 means +10 - 1, carrying to the next rod.
Check a sum by adding the numbers in the other order.
4Subtracting and Seeing Beads in Your Mind4 key points · 4 min read
To subtract, move beads away from the bar, using 5 or 10 when beads are missing.
-4 means -5 + 1, and -7 means -10 + 3 (borrowing from the next rod).
Check a subtraction by adding the answer back to the smaller number.
Mental abacus means picturing the beads and moving your fingers in the air.
5Multiplication and Division Ideas4 key points · 4 min read
Multiplication is repeated addition; division is equal sharing.
Splitting a number into tens and ones makes multiplication and division easy.
Multiplying by 5 is halving then multiplying by 10; multiplying by 25 is dividing by 4 then multiplying by 100.
Multiplication and division check each other.
6Welcome to Vedic Maths: Tricks with 11 and Squares of 54 key points · 4 min read
Vedic maths gives short-cut ways to calculate, collected as sutras.
To multiply by 11: first digit, sum of the two digits, last digit (carry if needed).
To square a number ending in 5: multiply the front digits by the next number, then write 25.
Always check a trick answer with another method at first.
7Nikhilam: Multiplying Near 1004 key points · 4 min read
Nikhilam works by using the distance of each number from a base such as 100.
Below the base: subtract crosswise and multiply the deficits.
Above the base: add crosswise and multiply the excesses.
In base 100 the right part must have two digits, so add a leading zero when needed.
8Urdhva Tiryagbhyam: Vertical and Crosswise4 key points · 4 min read
Urdhva Tiryagbhyam means vertically and crosswise and works for any numbers.
For two digits: ones times ones, then the cross products added, then tens times tens.
Carry the tens digit of each step into the next step.
Choose the method to suit the numbers: near 100, ending in 5, or general.
9Checking Answers with Digit Sums (Navashesh)4 key points · 3 min read
The digit sum is found by adding digits until one digit remains.
For multiplication, multiply the digit sums, reduce, and compare with the digit sum of the answer.
A mismatch means the answer is definitely wrong; a match means probably right.
The check cannot catch swapped digits or mistakes that are multiples of 9.
10Speed, Accuracy and Mental Maths Games4 key points · 4 min read
Accuracy comes before speed, and speed follows from good habits.
Estimate first, write neatly and check every answer.
Doubling and halving, rounding and adjusting and friendly numbers speed up mental sums.
Games and daily short practice keep skills sharp.
Handwriting and Calligraphy
For Handwriting and calligraphy
Develop clear, comfortable and attractive handwriting in English and Hindi, from posture and pencil grip to neat cursive, and then move on to the basics of calligraphy with pens, brush pens and ink.
10 lessons
About 36 min of reading
40 practice questions
26 key terms
1Posture, grip and paper position4 key points · 3 min read
Sit tall with both feet on the floor and forearms resting on the table.
Hold the pencil lightly with the tripod grip, a little above the tip.
Tilt the page to suit your writing hand and keep light on the opposite side.
A short hand warm-up makes lines smoother.
2Basic strokes and the shapes of letters4 key points · 4 min read
Letters are built from a few simple strokes: lines, circles, humps and cups.
Four-line paper shows the ascender, waist, base and descender zones.
Always start each letter at the same point and move in the same direction.
Close the round letters and keep loops equal in size.
3Slant, spacing and the baseline4 key points · 3 min read
Choose one slant and keep it the same for every letter.
Space letters evenly and leave about one "o" width between words.
Keep all small letters sitting on the baseline.
Keep a straight margin and enough space between lines.
4Neat print and joined cursive4 key points · 4 min read
Print writing is clear and best for forms, labels and diagrams.
Cursive joins letters with small connecting strokes for flow.
Practise joins in common pairs such as "an", "ou", "th" and "ing".
A consistent, readable style matters more than a particular type.
5Hindi (Devanagari) handwriting basics4 key points · 4 min read
Devanagari letters hang from the shirorekha, the head line.
Write the whole word first, then draw one straight line across the top.
Keep the main letters equal in height and the matras small but clear.
Learn conjuncts such as क्ष, त्र, ज्ञ as whole shapes.
6Speed with legibility4 key points · 3 min read
Master clear letter shapes first, then use joins to speed up.
Timed copying twice a week builds speed slowly and safely.
A relaxed grip prevents tired hands.
Clear numerals and spacing keep exam answers readable.
7Calligraphy tools and materials4 key points · 4 min read
Begin with a pencil, then felt-tip or brush pens, before trying nib pens.
Broad-edge pens vary line width with the direction of the stroke.
Smooth paper and the right ink make cleaner lines.
Cap pens, clean nibs and store ink upright to protect tools and clothes.
8Italic and modern calligraphy strokes4 key points · 4 min read
Italic uses a broad-edge pen kept at a steady angle of about 45 degrees.
Letters belong to stroke families: ladder, arch, oval and point.
In modern calligraphy, downstrokes are thick and upstrokes are thin.
Daily drills build control before you write words.
9Flourishes, layout and a finished quotation4 key points · 4 min read
Flourishes are sparingly used decorative extensions of existing strokes.
Plan with a thumbnail sketch before inking the final piece.
Pencil the text first, check spelling, then ink and erase the guides when dry.
Keep decoration simple so that the lettering remains the focus.
10A practice routine and patience4 key points · 3 min read
Short daily practice beats occasional long sessions.
A routine of warm-up, drills, letters and review keeps practice focused.
Compare monthly samples of the same sentence to see progress.
Patience and enjoyment matter more than perfection.
Public Speaking and Confidence
For Public speaking
Overcome stage fear and learn to use your voice and body language, structure a speech, tell stories, use notes and slides, handle questions, take part in debates, extempore, group discussions and interviews, and give and take feedback.
10 lessons
About 36 min of reading
40 practice questions
25 key terms
1Understanding and Overcoming Stage Fear5 key points · 4 min read
Nervousness before speaking is normal and can be turned into energy.
Preparation and practising aloud reduce fear the most.
Slow breathing, warm-ups and a well-learned opening line settle the nerves.
Start with small audiences and build up gradually.
After speaking, note one good thing and one improvement instead of criticising yourself.
2Using Your Voice: Pace, Volume, Pause and Pronunciation5 key points · 4 min read
A comfortable speaking pace is about 120 to 150 words per minute.
Speak loudly enough for the back of the room, using breath from the stomach.
Pauses give listeners time to think and replace filler words.
Clear pronunciation matters more than a perfect accent.
Recording yourself helps you notice and improve.
3Body Language and Eye Contact5 key points · 3 min read
Posture, gestures and facial expressions should support your words.
Stand balanced and upright, avoid swaying, and keep gestures natural.
Eye contact builds trust: hold each person for a thought, then move around the room.
If eye contact is hard, look at a friendly face or just above the heads of the audience.
Start and end calmly and confidently.
4Structuring a Speech: Opening, Points and Close5 key points · 4 min read
Every speech has an opening, a body and a close.
Decide your purpose, audience and time before writing.
A strong opening uses a question, fact, story or quote, not an apology.
Use two or three main points, each explained and supported with an example.
At about 130 words per minute, speech length can be estimated in words.
5Storytelling in Speeches5 key points · 3 min read
Stories are remembered far better than lists of facts.
A simple story has setting, problem, action and result with a lesson.
Personal and family stories are easiest because you already know them.
Be specific, use the senses, keep it short and link it to your point.
Never embarrass real people or present invented stories as true.
6Using Notes and Slides5 key points · 3 min read
Use key words on small numbered cards instead of reading a full script.
Practise with your notes until you only need a glance.
Slides should have one idea each, few words, large text and pictures.
Do not read slides aloud, and face the audience.
Test the equipment early and carry a backup copy.
7Handling Questions and Answers5 key points · 3 min read
Listen fully, pause, rephrase the question briefly, then answer simply.
If you do not know, say so honestly and offer to find out.
Stay calm and polite with difficult or unkind questions.
Keep answers short so that more people can ask.
Prepare likely questions and practise with a friend.
8Debate and Extempore Speaking5 key points · 4 min read
A debate has a motion, two sides, and arguments built from claim, reason, evidence and link.
Rebuttal answers what the other side actually said; attack the argument, not the person.
Extempore means speaking with little preparation on a given topic.
The PREP formula (point, reason, example, point) gives a quick structure.
Reading and regular practice build fluency and ideas.
9Listening, Group Discussion and Interview Basics5 key points · 4 min read
Good listening means full attention, no interruptions, and checking you understood.
In a group discussion, listen first, speak briefly, respect others and build on their points.
Interview preparation includes learning about the place and practising common questions.
The STAR method (situation, task, action, result) structures examples.
Honesty and politeness matter most in interviews and discussions.
10Giving and Taking Feedback, and a Speech Project5 key points · 4 min read
Feedback shows how you look and sound to others and is the fastest way to improve.
When taking feedback, listen, thank, find patterns, and choose one or two things to work on.
When giving feedback, start with a strength, give one specific improvement and encourage.
A 3-minute speech project follows topic, outline, story, notes, practice, delivery and feedback.
Regular small steps build lasting confidence.
Cyber Safety for Students
For Cyber safety
Learn to stay safe, kind and in control online: strong passwords, privacy, social media, cyberbullying, games, strangers, scams, screen time, fake news and where to get help in India.
10 lessons
About 38 min of reading
40 practice questions
26 key terms
1Your digital world and your digital footprint4 key points · 3 min read
Everything you post, like or search forms your digital footprint.
Online content can be copied and may stay for years.
Use the grandparent test before you post.
You can always say no, block and tell a trusted adult.
2Passwords and screen locks4 key points · 4 min read
Long, unique passphrases are stronger than short complicated ones.
Never share passwords with friends; share only with a parent if asked.
Two-step verification adds a second proof after the password.
Lock devices and log out of shared computers.
3Privacy: what not to share4 key points · 4 min read
Keep your address, phone number, routine, school details and financial information private.
Photos can reveal location and school; turn off location tagging.
Set profiles to private and accept only people you know.
If someone asks for too much, say no and tell an adult.
4Social media and messaging safely4 key points · 4 min read
Check an app's minimum age rules and do not lie about your age.
Use private accounts, careful usernames and accept only known people.
Know how to block, mute and report on every app you use.
Do not forward rumours or share photos of others without permission.
5Cyberbullying: what it is and what to do4 key points · 4 min read
Cyberbullying is hurtful behaviour through digital devices, and it is never the victim's fault.
Do not reply in anger; save evidence, block, report and tell an adult.
Bystanders can help by not joining in and by supporting the target.
If threats or private photos are involved, tell an adult immediately.
6Online games, in-app purchases and strangers4 key points · 4 min read
In-app purchases and loot boxes can cost real money; ask a parent before spending.
Limit chat to friends and never share personal details with strangers.
Secrecy, gifts and requests for photos are warning signs of grooming.
If something feels wrong, stop, save evidence, block, report and tell an adult.
7Scams, fake offers and safe downloading4 key points · 4 min read
Scams promise prizes, free credit or easy money and rush you to act.
Never share an OTP, PIN or card details.
Download apps only from the official store and check the permissions.
For financial fraud, tell a parent at once; the 1930 helpline and the national cybercrime reporting portal exist for this.
8Screen time and digital wellbeing4 key points · 3 min read
Screens are useful tools, but balance matters for sleep, health and mood.
No screens during meals and before bed; keep devices out of the bedroom at night.
Use the 20-20-20 rule to rest your eyes.
If screens make you feel worse, take a break and talk to someone you trust.
9Fake news, rumours and checking what you see4 key points · 4 min read
Misinformation spreads because it is shocking and easy to forward.
Check the source, date, other reports and evidence before believing or sharing.
Old photos are often shared as new events; use reverse image search.
If you cannot check it, do not forward it.
10Getting help in India and being a kind digital citizen4 key points · 4 min read
Always tell a trusted adult about serious problems online.
In India, the national cybercrime reporting portal and the 1930 helpline for financial fraud are official routes; a parent can use them.
Check the current helpline numbers because they can change.
Kind digital citizens respect others, protect privacy and give credit.
AI and ChatGPT Literacy for Students
For AI literacy
Understand what artificial intelligence and chatbots are, how they produce answers, how to write good prompts, use AI honestly for learning, check facts, spot bias and deepfakes, and protect privacy.
10 lessons
About 38 min of reading
40 practice questions
26 key terms
1What is artificial intelligence?4 key points · 4 min read
AI is software that finds patterns in data to perform tasks that usually need human intelligence.
Machine learning means learning from examples rather than fixed rules.
Generative AI creates new text, images, sound or code.
AI is a tool: capable but not magical, and its features change often.
2How a chatbot produces text4 key points · 4 min read
Chatbots predict likely next words based on patterns in training text.
A hallucination is a confident answer that is false or made up.
Use AI for explanations and ideas, but verify facts, numbers and sources.
The same question can give different answers.
3Writing good prompts4 key points · 4 min read
A prompt is the instruction you give an AI, and clearer prompts get better answers.
Use role, task, context, format and examples.
Improve answers by following up and iterating.
Ask for help to learn, not to do your work for you.
4Using AI to learn, not to cheat4 key points · 4 min read
Hand in work that is truly your own and give credit for help.
Follow your school and teacher's rules about AI; ask if unsure.
Honest uses include explanations, quizzes, feedback and brainstorming.
Copying an AI answer as your own is cheating and weakens your learning.
5Checking facts and sources4 key points · 3 min read
Verify names, dates, numbers and quotations in reliable sources.
AI can invent sources, so search for them yourself.
Do not rely on chatbots for medical or legal decisions.
A confident tone is not proof.
6Bias, fairness and ethics4 key points · 4 min read
Bias happens when AI learns from unbalanced or stereotyped data.
Unfair AI can harm people in decisions about jobs, loans and more.
People remain responsible for how AI is used.
Ask whether a use of AI is honest, fair and harmless.
7Privacy and safety when using AI tools4 key points · 4 min read
Treat anything you type into an AI tool as possibly stored or seen.
Never share passwords, OTPs, personal data or photos of others.
Check the tool's terms and age requirements and involve a parent or teacher.
A chatbot is not a person; talk to trusted people about feelings.
8Deepfakes and AI-powered scams4 key points · 4 min read
Deepfakes are AI-made fake images, audio or video of real people.
Voice-cloning scams use urgency; verify by calling the person on a known number.
Never create or share harmful fakes of others.
For loss of money, tell a parent; official reporting channels exist in India.
9AI in everyday life in India and future skills4 key points · 4 min read
AI already helps with maps, voice assistants, translation and recommendations in India.
AI changes tasks and jobs; human skills like judgement, creativity and empathy stay valuable.
Strong basics, critical thinking and digital skills prepare you for the future.
Tools change quickly, so keep learning.
10Project: a class AI user guide4 key points · 3 min read
A good project explains AI clearly, safely and honestly.
Verify every fact and credit your sources.
Include prompts, safety, honesty and help pages.
Ask for feedback and present your guide to others.
Game Design Basics: Scratch and Godot Concepts
For Game design
Learn how games are designed and built: what makes play fun, genres and a one-page design document, characters and animation, levels and difficulty, scoring and win states, the game loop in Scratch, engine ideas from Godot, sound and polish, playtesting and publishing with proper credit.
10 lessons
About 42 min of reading
40 practice questions
28 key terms
1What makes a game fun: goals, rules, challenge and feedback4 key points · 4 min read
A game needs a goal, rules, challenge and feedback.
Flow happens when challenge matches the player's skill; too easy bores, too hard frustrates.
Immediate, clear feedback keeps players engaged.
The game loop repeats input, update and draw many times a second.
2Genres and a one-page game design document4 key points · 4 min read
A genre is a family of games sharing a way of playing; mixing genres is common.
Keep the scope small: one working mechanic beats a grand unfinished plan.
A one-page GDD records pitch, goal, core mechanic, rules, controls, win and lose conditions and feedback.
Prototype with simple shapes or paper to test whether the mechanic is fun before adding art.
3Characters, sprites and animation4 key points · 4 min read
Give characters a clear silhouette, bold colours and a simple want.
A sprite is a 2D picture that moves independently; frames shown quickly make animation.
A four-frame walk cycle at 8 to 12 frames per second is enough to start.
Draw facing one way and flip in code; use a slightly smaller hitbox than the drawing.
4Levels, difficulty curves and tutorials4 key points · 4 min read
The first level teaches by doing: one idea at a time, safe first, reward quickly.
A good difficulty curve rises gently with dips for rest; avoid flat lines and early cliffs.
Raise difficulty with new combinations, not only faster enemies and fewer lives.
Checkpoints keep retries short so players accept harder sections.
5Scoring, lives, timers and win or lose states4 key points · 4 min read
Score, lives and time are variables with a start value, change rules and limits.
Three lives, brief invincibility after a hit and visible feedback keep play fair.
Game states (title, playing, paused, win, lose) stop bugs and keep screens tidy.
Write win and lose conditions as plain sentences and check them in the loop.
6The game loop in Scratch: events, clones, collisions and variables4 key points · 5 min read
The Scratch game loop is a forever block that reads input, updates and checks collisions.
Broadcasts move the game between states and let every sprite reset itself.
Clones make many enemies from one template; always delete clones when done.
A yspeed variable with gravity and a jump value gives platformer movement.
7From blocks to an engine: scenes, nodes and scripts4 key points · 5 min read
A game engine handles drawing, sound, physics, collisions and input so you add content and rules.
In Godot everything is a node, nodes form trees and saved trees are scenes you can instance many times.
Scripts give nodes behaviour: _ready runs once, _process runs every frame with delta time.
Signals are the engine's version of broadcasts; connect them to functions.
8Sound, feedback and polish4 key points · 4 min read
Polish, also called juice, is the small feedback that makes a game feel alive.
Give every important action a short sound and keep music quieter than effects.
Screen shake, flashes, particles, squash and score pop-ups are cheap and powerful tricks.
Add one effect at a time and keep it only if play feels better.
9Playtesting, balancing and acting on feedback4 key points · 4 min read
A playtest is watching someone play without help; stay quiet and take notes.
Testers are right about what they felt and often wrong about the fix.
Balance by changing one clearly named number at a time and testing again.
Iteration means build, test, change, repeat in small loops with a change log.
10Publishing safely and giving credit4 key points · 4 min read
Publishing means sharing a finished build with a description, controls and credits.
Every asset has a licence; CC0 and CC BY are usable with credit, all-rights-reserved material is not.
Keep a credits list from day one and add a credits screen to the game.
Use a safe username, share no personal details, ask an adult before making accounts, and report rudeness.
Maths Olympiad Foundation (Class 6 to 8)
For Maths olympiad foundation
Build the thinking skills that olympiad-style maths rewards: number patterns, divisibility and primes, fractions and ratio, algebra and working backwards, geometry, counting, logic puzzles, speed and work sums, and a calm plan for the exam day.
10 lessons
About 43 min of reading
40 practice questions
28 key terms
1How olympiad questions differ and how to show working4 key points · 4 min read
Olympiad questions hide the method inside a story; your first job is to recognise the topic.
Use the four steps: understand, plan, do, check.
Write working one step per line with units, ending with the kind of answer the question asked for.
Try small cases, draw diagrams and keep a mistakes notebook.
2Number patterns and sequences4 key points · 4 min read
Find the rule from the differences between neighbouring terms.
For an add-the-same-number sequence, the nth term is (difference × n) plus or minus a fixed number.
The nth triangular number is n(n + 1) ÷ 2 and the sum 1 to n is the same thing.
Units digits of powers repeat in short cycles.
3Divisibility, factors, primes, HCF and LCM4 key points · 5 min read
Learn the divisibility tests for 2 to 11; the digit-sum test covers 3 and 9.
A prime has exactly two factors; test by dividing by primes up to the square root.
HCF takes the lower power of each shared prime, LCM the higher; HCF × LCM = product of the two numbers.
Sharing and tiling stories want HCF; repeating events and common multiples want LCM.
4Fractions, decimals, percentages and ratio4 key points · 5 min read
Learn the fraction, decimal and percentage forms of the common parts by heart.
Percentage change is always measured against the original amount.
To share in a ratio, find one part by dividing the total by the sum of the parts.
Cross-multiply to compare fractions quickly.
5Algebra thinking: unknowns, equations and working backwards4 key points · 4 min read
Treat an equation like a balanced scale: do the same to both sides.
For think-of-a-number puzzles, undo the steps in reverse order.
Choose the simplest quantity as x, express the rest in terms of it, then write one linking sentence as an equation.
Always check the answer in the words of the question.
6Geometry: angles, triangles, perimeter, area and symmetry4 key points · 5 min read
Straight line 180°, round a point 360°, triangle 180°, quadrilateral 360°.
The exterior angle of a triangle equals the sum of the two opposite interior angles.
Rectangle area is l × b, triangle area is half base times height; a path inside a rectangle shrinks both lengths by twice its width.
A square has 4 lines of symmetry, a rectangle 2, an equilateral triangle 3 and a cube has 6 faces, 12 edges and 8 vertices.
7Counting and arrangements4 key points · 4 min read
List possibilities in a fixed order so none are missed or counted twice.
Choices made one after another multiply: a ways then b ways gives a × b ways.
When order does not matter, as with handshakes, divide the ordered count by 2.
If direct counting is hard, count the opposite and subtract from the total.
8Logic puzzles and reasoning4 key points · 4 min read
Suppose one thing, follow it through and look for a contradiction.
A grid of ticks and crosses solves who-owns-what puzzles cleanly.
For odd-one-out, find the property shared by all the others and state it.
Dividing into three groups makes a balance scale work hardest.
9Time, speed, distance and work4 key points · 5 min read
Distance = speed × time; keep units matching and convert km/h to m/s with 5/18.
A train passing a pole covers its own length; passing a platform, its length plus the platform's.
Average speed is total distance divided by total time.
Turn work into fractions per day (or hour) and add them; drains subtract.
10Strategies for the exam day4 key points · 3 min read
Set a time budget per question and keep minutes back for checking.
Do three passes: sure answers first, then skipped ones, then checking.
Read every question twice and underline words such as least, not and altogether.
Estimate first, then check by a different route and confirm you answered what was asked.
English for Kids (Classes 1 to 5)
For English for kids
Build a strong base in English: alphabet and phonics, simple words and spelling, nouns, verbs and adjectives, sentences, capital letters and full stops, reading short passages, speaking about yourself, describing pictures, rhymes and vocabulary, and polite words.
11 lessons
About 46 min of reading
40 practice questions
30 key terms
1The alphabet and phonics5 key points · 4 min read
English has 26 letters: 5 vowels (a, e, i, o, u) and 21 consonants.
Phonics links letters to their sounds so you can read new words.
Blending joins sounds to read a word; segmenting splits a word to spell it.
A silent e at the end often makes the vowel say its own name, as in kite.
Digraphs such as sh, ch, th and ck are two letters making one sound.
2Simple words and spelling5 key points · 4 min read
CVC words have a consonant, a vowel and a consonant, such as pen and sun.
Word families share an ending, so cat, bat and mat rhyme.
Sight words such as the, said and was must be remembered.
Most plurals add s; words ending in s, sh, ch or x add es.
Look, cover, write, check is a good way to learn spellings.
3Nouns: naming words5 key points · 4 min read
A noun names a person, animal, place or thing.
A proper noun names one special person or place and starts with a capital letter.
Plural nouns mean more than one; most add s or es.
Use a before a consonant sound and an before a vowel sound.
If you can say a or the before a word, it is likely a noun.
4Verbs and adjectives5 key points · 5 min read
A verb is a doing word; every sentence needs one.
Verbs change for present, past and future: walk, walked, will walk.
Use am with I, is with he/she/it, and are with we/you/they.
An adjective describes a noun: a tall tree, three mangoes.
Add er to compare two things and est to compare three or more.
5Making simple sentences5 key points · 4 min read
A sentence makes complete sense and has a subject and a verb.
The usual order is subject, verb, object.
There are four kinds: statement, question, command and exclamation.
And, but and because join ideas into longer sentences.
Pronouns like he, she, it and they replace nouns.
6Capital letters and full stops5 key points · 4 min read
Start every sentence with a capital letter.
Names of people, places, days, months and festivals begin with capitals.
Use a full stop for statements, a question mark for questions and an exclamation mark for strong feeling.
Commas separate items in a list.
An apostrophe shows a short form (don't) or belonging (Riya's bag).
7Reading short passages5 key points · 5 min read
Reading means understanding, not only saying words.
Look at the title and picture before reading and ask who, what, where, when and why after.
The main idea is what the passage is mostly about; details support it.
Clues from nearby words help you guess a new word.
Pause at full stops and commas when reading aloud.
8Speaking about yourself5 key points · 4 min read
Use short, complete sentences when you speak about yourself.
Follow a pattern: greeting, name, age and class, family, likes, thank you.
Answer questions with a full sentence.
Speak slowly, clearly and look at your listeners.
Listening carefully is part of good speaking.
9Describing pictures5 key points · 4 min read
Look at the whole picture first, then at the details.
Answer who, what, where and when.
Use place words such as in, on, under, behind and next to.
Use is or are with an ing verb to say what is happening.
Adjectives make a description more interesting.
10Rhymes and vocabulary building5 key points · 5 min read
Rhyming words have the same ending sound, like cat and hat.
Poems and songs use rhyme to be fun and easy to remember.
Vocabulary is the set of words you know; read daily to grow it.
Opposites are antonyms and similar words are synonyms.
A dictionary lists words in alphabetical order with their meanings.
11Polite words and good manners5 key points · 3 min read
Please, thank you, sorry and excuse me are polite words to use daily.
Greet people with good morning, good afternoon or good evening.
Use may or could when asking for something.
Speak respectfully to elders and teachers and do not interrupt.
Originality means fresh and clear, not strange or showy.
English Grammar and Communication
For Creative writing
Build correct, confident English: parts of speech, tenses, articles, prepositions, subject-verb agreement, voice and reported speech, the common errors Hindi speakers make, and phrases for interviews and the office.
7 lessons
About 26 min of reading
35 practice questions
25 key terms
1Parts of Speech5 key points · 4 min read
English has eight parts of speech: noun, pronoun, verb, adjective, adverb, preposition, conjunction and interjection.
Uncountable nouns such as advice and information have no plural.
Adjectives describe nouns; adverbs describe verbs, adjectives and other adverbs.
Good is an adjective; well is its adverb.
A word's part of speech depends on its job in the sentence.
2The Twelve Tenses5 key points · 4 min read
Present, past and future each have simple, continuous, perfect and perfect continuous forms.
Do not use a definite past time, such as yesterday, with the present perfect.
After do, does or did, use the base form of the verb.
State verbs such as know and own are not normally used in continuous forms.
After when, before and as soon as, use a present tense for the future.
3Articles and Prepositions5 key points · 4 min read
Choose a or an by the sound that follows: an hour, a university.
Use the for things already known, unique things, superlatives and rivers.
At for clock times, on for days and dates, in for months and years.
Since marks a starting point; for marks a length of time.
Some verbs take no preposition: discuss the plan, reach Delhi.
4Subject-Verb Agreement5 key points · 3 min read
A singular subject takes a singular verb; a plural subject takes a plural verb.
Words between the subject and the verb do not change the subject.
With either ... or and neither ... nor, the verb agrees with the nearer subject.
A number of takes a plural verb; the number of takes a singular verb.
News and mathematics are singular; trousers and scissors are plural.
5Active and Passive Voice5 key points · 4 min read
In the passive, the object of the active sentence becomes the subject.
The passive uses a form of be plus the past participle.
Only transitive verbs, which take an object, can be made passive.
Use the passive when the doer is unknown or unimportant.
Prefer the active voice for clear, direct writing.
6Direct and Indirect Speech5 key points · 3 min read
After a past reporting verb, tenses usually move one step back.
Will becomes would, can becomes could and may becomes might.
Universal truths keep their present tense.
Reported questions use statement word order and if or whether for yes/no questions.
Commands use told or requested with to; negatives use not to.
7Common Errors and English for Interviews and the Office5 key points · 4 min read
Remember the article: He is an engineer.
Use the right question tag: You are coming, aren't you?
Introduce yourself with My name is ..., not Myself ...
Polite requests start with Could you please ... or May I ...
Say exactly what you need and by when, instead of Kindly do the needful.
Financial Literacy for Teens
For Financial literacy
Learn practical money skills for teenagers in India: needs and wants, a pocket money budget, saving habits, bank accounts and passbooks, UPI safety, simple and compound interest, inflation, goal planning, avoiding fraud and loan-app traps, GST on a bill, and earning from first jobs.
12 lessons
About 91 min of reading
40 practice questions
32 key terms
1Needs, wants and choices4 key points · 6 min read
A need is required to live and study; a want is nice to have.
Scarcity means money is limited, so we must choose.
Opportunity cost is the next best thing you give up.
Ask whether a purchase can wait, and whether a cheaper way exists.
2Pocket money and your first budget4 key points · 7 min read
A budget is a plan: income, spending and saving decided in advance.
Fixed expenses repeat; variable expenses change.
Pay yourself first: set the saving amount before spending on wants.
Tracking real spending shows where the plan and reality differ.
3Saving habits and emergency money4 key points · 7 min read
Saving builds goals, a cushion for surprises, and fewer debts.
Regular small amounts grow: 100 a month is 1,200 in a year.
Pay yourself first by setting saving aside when money arrives.
An emergency fund is only for genuine surprises.
4Bank accounts, passbooks and statements4 key points · 8 min read
A bank keeps money safe and records every transaction.
KYC verifies your identity before an account opens.
A passbook or statement shows deposits, withdrawals and balance; check it regularly.
A debit card PIN is secret; no genuine bank asks for it.
5UPI and digital payment safety4 key points · 8 min read
Never share your OTP, PIN, CVV or password with anyone.
You never need a PIN or OTP to receive money.
Scanning a QR code is for paying, not for receiving.
Report fraud quickly: bank, trusted adult and helpline 1930.
6Simple and compound interest4 key points · 10 min read
Simple interest is on the original principal only: SI = P x R x T / 100.
Compound interest is calculated on principal plus earlier interest.
For 10,000 at 10% for 2 years: SI is 2,000 and CI is 2,100.
Compounding can make debts grow quickly too.
7Inflation in simple terms4 key points · 6 min read
Inflation is a general rise in prices; money buys less over time.
A 5% rise turns a ₹100 item into ₹105.
Purchasing power is what a rupee can actually buy.
Goals should allow for prices rising over time.
8Setting goals and making a plan4 key points · 7 min read
A clear goal has an amount, a date and a reason.
Monthly saving = cost / number of months.
Check that the monthly figure fits your budget.
Rank goals and review the plan regularly.
9Avoiding fraud and loan-app traps4 key points · 9 min read
Urgency, secrecy and rewards that sound too good are warning signs.
Never pay a fee to receive a prize, loan or job.
Loan apps can have high hidden costs and misuse data; a minor should never borrow this way.
Report quickly: bank, trusted adult, helpline 1930.
10Taxes in simple terms and GST on a bill4 key points · 8 min read
Taxes fund public services; direct tax is on income, indirect tax is in the price.
GST is added to the price: tax = price x rate / 100.
For 1,000 at 18%: GST is 180 and the total is 1,180.
Ask for a proper bill and check the tax shown.
11Earning money and first jobs4 key points · 8 min read
Income comes from salary, wages, self-employment or profit.
Teenagers should keep school first and work only in safe, lawful ways with family knowledge.
Profit = income - costs; take-home pay is after deductions.
Never pay a fee for a job and never share OTPs or documents.
12Putting it all together: a money plan for a year4 key points · 7 min read
A money plan joins income, budget, goal, safety and review.
Reviewing monthly keeps the plan alive.
Waiting before non-essential purchases reduces regret.
Use official sources and trusted adults for decisions.
Science Fair and Project Skills
For Science fair skills
Plan and present a school science project from start to finish: choosing a testable question, the scientific method, timelines, hypotheses, variables and fair tests, tables and graphs, measurement errors, safety, the report, working models, display boards, talks and viva questions, and honest credit for sources.
13 lessons
About 56 min of reading
48 practice questions
30 key terms
1Choosing a good question4 key points · 4 min read
A project question must be testable by measuring something.
Narrow a broad topic step by step until it can be tested.
Check that the question is feasible, safe and interesting to you.
Background reading shows what is already known and helps you predict.
2The scientific method4 key points · 4 min read
The steps run from question and research to hypothesis, experiment, data, conclusion and communication.
A hypothesis is a testable prediction, not a certain fact.
Results that disagree with the hypothesis are still valid and useful.
Repeat tests at least three times to be more trustworthy.
3Planning and a timeline4 key points · 4 min read
Break the project into stages and put a date on each one.
Work backwards from the final date and keep spare days.
Make a complete materials list before you start.
A logbook records the date, actions, observations and mistakes.
4Hypothesis, variables and fair tests4 key points · 5 min read
A hypothesis is a testable prediction, often in the form If, then, because.
Independent variable is changed, dependent is measured, controlled stay the same.
A fair test changes only one variable at a time.
A control group gives a baseline for comparison.
5Collecting data and making tables4 key points · 4 min read
Data can be quantitative (numbers) or qualitative (descriptions).
Record at the time of measuring; correct a mistake with one line.
Tables have a title, units in headings and repeated trials.
Mean is the sum divided by the number of values; range is largest minus smallest.
6Graphs and charts4 key points · 4 min read
Choose a bar, line, pie or scatter graph to fit the data.
Independent variable goes on the x axis, dependent on the y axis.
Every graph needs a title, labelled axes with units and an even scale.
Describe the pattern in words below or beside the graph.
7Units and measurement errors4 key points · 5 min read
A measurement needs a number and a unit; use SI units consistently.
Read each instrument correctly: eye level, zero setting, steady value.
Accuracy is closeness to the true value; precision is closeness of repeats.
Repeating reduces random error; checking tools avoids systematic error.
8Safety rules for projects4 key points · 4 min read
Do a risk assessment and get an adult’s permission first.
Wear goggles and gloves where needed and keep hair and clothes safe.
Use only low-voltage battery circuits; never mains electricity or open flames alone.
Never mix cleaners, never taste chemicals, and report every accident.
9Writing the report4 key points · 5 min read
A report has aim, hypothesis, apparatus, procedure, observation, result, conclusion and bibliography.
Procedure is a numbered list that others can repeat.
Observation is what you saw, result is the pattern, conclusion is the meaning.
Do not claim more than the data shows; mention errors and limits.
10Making a working model4 key points · 4 min read
A working model should work and be explainable by you.
Design on paper first, then build and test one part at a time.
Use safe, low-voltage and recycled materials where possible.
Label the model and state the science principle behind it.
11Display board and poster4 key points · 4 min read
The board should show question, method, data and conclusion at a glance.
Use a large title, short text, few colours and clear labelled visuals.
Keep the logbook and report beside the board.
Check spelling and units and carry spare materials.
12Presenting and answering viva questions4 key points · 5 min read
Give a short talk: introduce, question, method, result, conclusion.
Practise aloud, use cue words and keep eye contact.
Know your variables, errors, results and the science behind them.
If you do not know an answer, say so honestly instead of guessing.
13Honesty and giving credit4 key points · 4 min read
Report the data you really measured; never invent or change numbers.
Do your own work; guidance is fine but copying a project is not.
Give credit with a bibliography and acknowledgement; avoid plagiarism.
Respect people, animals, plants and the environment in your project.
In the student portal
Practise until you are sure, then take the exam.
Students of the institute and its member centres sign in to read these study books lesson by lesson and test themselves on each one. Your centre gives you your login when you enrol.
School children and teenagers. Tell the head office or your centre your child’s class and what they already know, and they will suggest the right group.
How long is the course and what is the fee?
Duration, fees and batch timings depend on the course and the centre. Ask the head office or your nearest member centre, and get the details in writing before you pay.
Where are the classes?
At the head office in Delhi (A-10, Chief Commissioner Colony, opposite Rana Pratap Bagh) and at authorised member centres. Call or WhatsApp the head office to find the nearest centre.
Is there an exam and a certificate?
Yes. The institute prefers written exams, taken in front of a teacher. Students who pass receive a Gurukul Technicals Institute certificate and marksheet, which the head office verifies on request.
What study material comes with the course?
Students of the institute and its member centres sign in to the student portal to read 13 study books for these courses (Scratch Coding for Kids, Abacus and Vedic Maths, Handwriting and Calligraphy, Public Speaking and Confidence, Cyber Safety for Students, AI and ChatGPT Literacy for Students, Game Design Basics: Scratch and Godot Concepts, Maths Olympiad Foundation (Class 6 to 8), English for Kids (Classes 1 to 5), Creative Writing for Classes 6 to 10, English Grammar and Communication, Financial Literacy for Teens, Science Fair and Project Skills) and take timed practice tests. The free ebooks on this page can be downloaded by anyone.
