Number theory
Divisibility, primes and modular arithmetic — the part of maths that feels like a puzzle.
- Divisibility and prime factorisation
- Modular arithmetic and remainders
- Digit and base problems
Number theory, combinatorics, geometry and proof — real mathematics beyond the textbook, for students who finish the chapter and ask what else there is.
Some children finish their Maths homework and still want more. Advanced Maths gives them that "more". At Brolly Juniors in Hyderabad, children move beyond routine sums and start exploring patterns, multi-step problems and the reasons behind the rules.
Advanced Maths classes for kids are lessons that take children beyond basic calculation into higher-level thinking. Children work on patterns, sequences, algebra basics, geometry, ratios and multi-step word problems. The focus is on reasoning, method and explanation — understanding why an answer works, not only getting it.
Brolly Juniors runs advanced maths classes in Hyderabad for Classes 7 to 10, for students already comfortable with the school syllabus. Topics include number theory, combinatorics, advanced geometry and proof technique. Entry is by assessment, and the class complements rather than replaces regular maths tuition.
Six things children practise in an advanced Maths session at Brolly Juniors.
Children look at a problem, ask what is really being asked, and choose a method before they start writing.
Longer problems are broken into smaller steps, so a big question stops feeling scary.
Spotting rules, relationships and what must be true — the thinking that sits underneath the numbers.
Puzzles and challenge questions that reward trying a second method when the first one stalls.
Concepts are explained with simple examples first. Technical words come after the idea makes sense.
New ideas are introduced in a sequence, so children build on what they already understand.
Advanced Maths is Maths that asks a child to think a little harder than usual.
Advanced Maths also stretches a pattern further than the first few numbers. Instead of stopping at 2, 4, 6, 8, a child is asked what the 20th number would be — and how they know without writing every number down.
So "advanced" is not only about harder topics. It is about deeper questions on topics a child already knows, plus new topics such as algebra basics, ratios and geometry introduced at the right time.
A child is given a sum and finds the answer.
The same child is asked something more open.
Because some children are ready for a bigger challenge, and a bigger challenge is what keeps them interested.
A child learns why a method works, not only the steps to copy. That understanding stays longer than a memorised rule.
Advanced questions have rules to find. Finding rules is practice in thinking clearly, in order.
Long problems teach a useful habit: break it down, solve one part, then use that answer for the next part.
Children learn to say "this must be true because…" instead of "I think it is 12".
Once a child sees patterns in numbers, they start seeing them in shapes, in games and in everyday life.
Regular practice with challenging problems can make difficult work feel normal rather than frightening.
Brolly Juniors does not promise higher marks, ranks or exam results. What we focus on is thinking, method and steady practice.
Ten skills children practise while working through advanced Maths activities.
Holding a bigger idea in mind while working through smaller steps.
Following a rule from start to finish without skipping a step.
Choosing a method, trying it, and switching if it does not work.
Noticing what repeats, what grows and what stays the same.
Pulling out the useful information from a long question.
Deciding which method is quickest for this particular problem.
Staying with a problem after the first attempt fails.
Feeling able to start a question even when the answer is not obvious.
Finding a second or third way to reach the same answer.
Checking their own answer before asking whether it is right.
These are the four areas olympiad problems are built from, taught for their own interest rather than as competition drilling.
Divisibility, primes and modular arithmetic — the part of maths that feels like a puzzle.
Counting without listing, and knowing when you have counted something twice.
Constructions, circle theorems, and writing an argument that actually proves something.
Invariants, extremal arguments and the strategies that unlock a problem with no obvious start.
A suggested learning structure that moves from a strong foundation to open-ended challenge work.
Advanced work needs a solid base. This level makes sure the basics are quick and secure.
Example learning progression. Actual topics may vary based on age and learning level. Contact Brolly Juniors for current details.
A general guide to what advanced Maths can look like at different ages.
Number relationships, factors and multiples, simple patterns, two-step word problems and early fraction work. Plenty of puzzles.
Fractions, decimals and percentages together, ratios, algebra basics, angles and area, and longer multi-step problems.
Harder algebra, proportional reasoning, geometry relationships, and open-ended challenge questions with more than one method.
These are general age guides for advanced Maths learning, not fixed Brolly Juniors batch groups. Readiness matters more than age — a curious 9-year-old may be ready for work a 12-year-old is still building towards. Contact Brolly Juniors for current details.
Numbers are not just things to add. They have relationships, and advanced Maths looks at those relationships.
12 and 4 are connected. 12 can be split into three equal groups of 4. Seeing that link makes division feel natural.
In 4,382 the 3 is not just "three". It is 300. Place value is what makes big-number work possible.
Factors of 12 are 1, 2, 3, 4, 6 and 12. These are the numbers that divide 12 with nothing left over.
Multiples of 7 are 7, 14, 21, 28… a counting pattern that keeps going.
A quick check: if a number ends in 0 or 5, it divides by 5. So 145 divides by 5 without any working.
Three ways of writing the same idea. Children learn to move between them comfortably.
A pattern is a rule that repeats. Find the rule and you can predict what comes next. Look at this line of numbers:
3, 6, 9, 12… adding the same amount each time.
Circle, square, circle, square — then patterns that grow in size.
1, 4, 9, 16… where the rule is hiding a little deeper.
Writing the rule in words, so it can be used on any position in the sequence.
Algebra sounds difficult. It starts as something children already do: finding a missing number.
☐ + 3 = 8
x + 3 = 8, so x = 5
Once a child is comfortable with that idea, they can work on 2x = 10, then x − 4 = 7, then problems where the letter appears twice. Each step is small. We keep this section beginner-friendly. No child is pushed into algebra before the number work underneath it is secure.
Geometry is the Maths of shape and space. Children can see it around them every day.
A samosa is a triangle. A chapati is a circle. Naming shapes is where it starts.
The corner of a book is a right angle. A clock at 3 o'clock makes one too.
Railway tracks stay the same distance apart. Those are parallel lines.
Fold a butterfly picture down the middle and both halves match.
Walking all the way around the edge of a room measures its perimeter.
Counting the floor tiles in that room gives you the area.
Spatial thinking — turning a shape in your head, or imagining how a box folds — is practised through building and drawing activities, not only through formulas.
These three look different but often mean exactly the same thing.
Half of something
The same half, as a decimal
The same half, out of 100
A pizza cut into two equal pieces shows all three at once. One piece is 1/2 the pizza, 0.5 of the pizza, and 50% of the pizza. Once children can switch between these three forms, percentage questions in shops and discount problems become much easier.
Word problems are stories with Maths hidden inside. We teach children a simple six-step routine.
Read the whole question once, slowly, without picking up a pencil.
Say in your own words what the question is asking for.
Underline the numbers and the words that matter. Ignore the rest.
Add? Subtract? Multiply? Divide? More than one step?
Do the working neatly, one line at a time.
Does the answer make sense? If a child spends money and ends up with more, something is wrong.
Some problems cannot be finished in one calculation. They need two or three. A child has ₹100. They spend ₹35. Then they receive ₹20.
A box holds 8 crayons. There are 5 boxes. 12 crayons are broken.
A journey is 60 km. A car covers 25 km, stops, then covers 18 km.
Reasoning is the part of Maths that happens before the calculation.
What repeats here, and what is the rule behind it?
If one number goes up, what happens to the other?
Which is bigger: 3/4 or 0.7? Deciding needs reasoning, not guessing.
Every even number ends in 0, 2, 4, 6 or 8. So 4,317 cannot be even.
Working out position 20 from a rule, instead of counting all the way.
If the price doubles, the amount you can buy with ₹100 halves.
Logical reasoning is also the skill behind Abacus training and strategy games. Different activity, same underlying habit of thinking in ordered steps.
Activity types children may work on during advanced Maths sessions.
Fit numbers into a grid so every row follows the rule.
Use clues to work out who has which item.
Continue a pattern and explain the rule in words.
Move through a maze by solving each step correctly.
Find the missing term in a growing sequence.
Balance an equation by finding the hidden value.
Count sides, angles or lines of symmetry.
Use clues about factors and digits to identify a number.
Five quick advanced Maths questions. Let your child try them before you book a demo.
What number comes next?
Question 1 of 5 — Choose one answer.
"Advanced" does not mean your child jumps straight into the hardest topics.
What your child already knows well is the starting line.
Both matter, but neither decides everything on its own.
A child who enjoys a challenge will usually move faster than a child who is being pushed.
Every child begins where they are. A beginner might start with number patterns and two-step word problems, and only later meet algebra or ratios. That is normal, and it is the right order. If your child is still building speed and accuracy in basic calculation, Abacus classes or Vedic Maths may be a better first step. Advanced Maths works best on top of a comfortable foundation.
Enrichment means going wider and deeper, not just doing more of the same worksheet.
Questions that need a bit of searching before the method becomes clear.
One hard question, discussed properly, is worth twenty easy ones.
Finding the rule and then using it to predict far ahead.
Deduction and elimination, practised as a game.
Questions with several correct answers, where the reasoning matters most.
Bills, discounts, distances and time — Maths that leaves the notebook.
The aim is deeper thinking rather than memorising answers. A child who can explain their method has learned more than a child who can only recite a result.
Many parents ask whether advanced Maths helps with Maths competitions.
Advanced Maths skills — reasoning, pattern recognition, multi-step problem solving and persistence — are the same skills that challenging competition questions test. In that sense, this kind of practice can be a useful foundation for a child who enjoys difficult Maths problems.
What we do not claim: Brolly Juniors does not promise Olympiad selection, competition qualification, guaranteed ranks or guaranteed scores. We do not claim to run preparation for any specific named competition. If you are looking for competition-specific coaching, please contact Brolly Juniors on 9542344555 to ask what is currently offered before you enrol.
Higher-level Maths ideas turn up in ordinary days more often than children expect.
"30% off ₹800" is a percentage problem in a shop.
Which pack is better value? That is a ratio question.
Working backwards from a start time is multi-step Maths.
Converting metres to centimetres before cutting.
Saving a little each week and predicting the total.
Calendars, timetables and rangoli designs all repeat by rule.
Scoring, probability and strategy in board games.
Area, angles and symmetry when making or drawing something.
Every advanced Maths question is really a problem-solving exercise in five moves.
What is the question actually asking?
Which method might work here?
Start. A wrong start still teaches something.
Does this answer make sense?
Is there a shorter or clearer way?
The same five moves help with science, coding and everyday decisions.
Critical thinking shows up in the questions a child starts asking themselves.
Confidence in Maths usually comes from experience, not from encouragement alone.
When a child works through a hard problem, gets it wrong, tries again and finally solves it, something changes. The next hard problem feels a little less impossible. Over months of practice, difficult questions can start to feel normal rather than frightening.
That is the honest version. Not every child grows in confidence at the same speed, and we do not promise a particular result. What we can do is make the challenges appropriate, the explanations clear, and the mistakes safe.
General signs that a child may be ready for more challenging Maths work.
These are general indicators for parents, not a formal assessment. If you are unsure, a Free Demo is usually the clearest way to find out. Call 9542344555.
If that is what brought you here, this page is the right place to start.
A typical flow for an advanced Maths session at Brolly Juniors.
A short puzzle to get thinking started — a missing number or a quick pattern.
The idea is explained in simple words first, with a picture or an everyday example.
The mentor works through one problem out loud, showing the thinking, not just the answer.
Children try similar questions with support close by if they get stuck.
A harder question with no hints, so children practise starting on their own.
Answers are discussed. Different methods are compared — often more than one works.
Session structure may vary by level and format. Contact Brolly Juniors for current details.
Brolly Juniors is a children's learning centre in Nizampet, Hyderabad, running activity-based skill programmes for children.
Sessions are designed for children, with examples they can picture.
The idea comes first. The technical term comes after it makes sense.
Puzzles, challenges and hands-on tasks rather than worksheets alone.
Children are asked to explain their method, not just write the answer.
Level is matched to readiness, so work is challenging but not crushing.
Ask us anything about level, format or fit before you decide. Call 9542344555.
We share these directly, so what you get is current and specific to your child rather than a number that may not apply.
Ask us
Changes through the year
Nothing before the trial
The easiest way to know whether advanced Maths suits your child is to let them try one session. Book a Free Demo, or send an enquiry and we will call you back.
Prefer to talk? Call 9542344555 or message us on WhatsApp.
If your child finishes Maths homework and still wants more, advanced Maths may be the right next step. Start with a Free Demo, see how they respond to a harder question, and decide from there. No pressure, no commitment.
Demo availability may vary. Contact Brolly Juniors for current details.
Metro Pillar No. A689, Dr Atmaram Estates, 3rd Floor, Nizampet X Roads, Nizampet, Hyderabad, Telangana, 500072
You do not need to be good at Maths to help. You mainly need good questions.
"Tell me how you got that." Explaining is where understanding gets tested.
Sudoku, number games and logic puzzles count as Maths practice.
Ask this even when the answer is correct, not only when it is wrong.
If your method is different, let them finish theirs first.
A wrong answer is information. Treat it that way and children keep trying.
Wait. Offer a hint. The struggle is where the learning happens.
And celebrate effort and thinking, not only correct answers. "You kept going for ten minutes on that one" is worth saying out loud.
Brolly Juniors runs kids learning classes in Hyderabad from its centre at Nizampet X Roads.
Metro Pillar No. A689, Dr Atmaram Estates, 3rd Floor, Nizampet X Roads, Nizampet, Hyderabad, Telangana, 500072
Beside Sri Bhramaramba Theatre, near JNTU Metro Station.
If you are searching for advanced maths classes near me, advanced maths classes for kids near me or maths classes for kids near me, here is the straight answer.
Brolly Juniors operates from one centre, at Nizampet X Roads in Hyderabad. Families from the surrounding areas — Nizampet, Bachupally, Pragathi Nagar, Kukatpally, Miyapur and Bowrampet — can reach it easily. We do not list branches we do not have.
The quickest way to check whether we are convenient for you is to call 9542344555 and ask. If travel is difficult, ask about available learning formats when you call.
Advanced Maths sits alongside several other skill programmes. Some suit younger children, some suit different interests.
Builds calculation speed and mental visualisation. A strong base before advanced Maths.
➕Shortcut methods for faster calculation. Different from advanced Maths, which focuses on reasoning.
🤖Understanding how AI tools work, and using them thoughtfully and safely.
💻Coding with Python. Logical thinking that pairs naturally with advanced Maths.
📱Practical, safe and confident use of everyday digital tools.
🎤Explaining ideas clearly out loud — useful for explaining Maths reasoning too.
Clear explanation
Guided activities
Visible outcomes
Short, direct answers to the questions parents search for most.
Children who finish routine Maths comfortably, enjoy puzzles, and want harder questions. Readiness matters more than age.
Brolly Juniors, Nizampet X Roads, Hyderabad. Call 9542344555 to book a Free Demo.
At the Brolly Juniors centre at Metro Pillar No. A689, Nizampet X Roads, Hyderabad. Call 9542344555 to book a Free Demo.
Practise the same routine every time: read, understand, find the information, choose a method, solve, then check. Explaining the method out loud makes it stick.
Tell us your child’s class and what they enjoy. We will suggest the closest program fit—no pressure and no upfront payment.