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Don't just cancel out variables on both sides. You'll lose a solution. Here's why.
1.71M
23.3K
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5mo ago
marcusmathstutor
Don't just cancel out variables on both sides. You'll lose a solution. Here's why.
Unlock the solution to this algebra problem by using the perfect cube expansion to connect the two given equations. Once you substitute the known values, the complex numbers cancel out nicely to reveal that xy is simply 1!
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6mo ago
marcusmathstutor
Unlock the solution to this algebra problem by using the perfect cube expansion to connect the two given equations. Once you substitute the known values, the complex numbers cancel out nicely to reveal that xy is simply 1!
To solve this tricky Olympiad math puzzle where no angles are initially provided, you must leverage the equal side lengths of the square and equilateral triangle to reveal hidden isosceles triangles and deduce the final 45-degree angle.
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5mo ago
marcusmathstutor
To solve this tricky Olympiad math puzzle where no angles are initially provided, you must leverage the equal side lengths of the square and equilateral triangle to reveal hidden isosceles triangles and deduce the final 45-degree angle.
Don't just cancel out squares and square roots. You have to pay attention to the numbers inside.
139K
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5mo ago
marcusmathstutor
Don't just cancel out squares and square roots. You have to pay attention to the numbers inside.
Can you find the area of this circle?
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6mo ago
marcusmathstutor
Can you find the area of this circle?
How to Simplify "Impossible" Nested Surds in Math Olympiads
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3mo ago
marcusmathstutor
How to Simplify "Impossible" Nested Surds in Math Olympiads
Even with no real solutions, you can still factor it. Build a perfect square—then use difference of squares.
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4mo ago
marcusmathstutor
Even with no real solutions, you can still factor it. Build a perfect square—then use difference of squares.
Maths shapes long-term opportunities more than most activities, yet gets the least investment.

We exist to turn that around.

The Maths Mastery Academy is designed to bring on the next generation of mathematical thinkers.

We use preparation for maths competitions as a vehicle to teach problem-solving, deeper insights, and to level up your child's mathematics.

If they have the talent... why waste it?

Let us help unlock their full potential - tap 'Learn More' to see how we can help.
94.4K
179
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9mo ago
marcusmathstutor
Maths shapes long-term opportunities more than most activities, yet gets the least investment. We exist to turn that around. The Maths Mastery Academy is designed to bring on the next generation of mathematical thinkers. We use preparation for maths competitions as a vehicle to teach problem-solving, deeper insights, and to level up your child's mathematics. If they have the talent... why waste it? Let us help unlock their full potential - tap 'Learn More' to see how we can help.
Move terms to one side and use partial factoring to solve the single equation for x and y.
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3mo ago
marcusmathstutor
Move terms to one side and use partial factoring to solve the single equation for x and y.
This one strategy makes simultaneous equations way easier—and schools barely teach it.
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26
8mo ago
marcusmathstutor
This one strategy makes simultaneous equations way easier—and schools barely teach it.
√2 or ∛3. Which is bigger?
They’re incredibly close, so decimal approximations aren’t very satisfying.
But there’s a neat way to compare them exactly, without a calculator.
The key is turning both roots into powers you can compare directly.
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1.33K
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3w ago
marcusmathstutor
√2 or ∛3. Which is bigger? They’re incredibly close, so decimal approximations aren’t very satisfying. But there’s a neat way to compare them exactly, without a calculator. The key is turning both roots into powers you can compare directly.
Empirical verification across initial parameters cannot substitute for deductive algebraic proof.
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3mo ago
marcusmathstutor
Empirical verification across initial parameters cannot substitute for deductive algebraic proof.
Look for symmetry before solving. A quick square turns a messy problem into a simple answer.
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4mo ago
marcusmathstutor
Look for symmetry before solving. A quick square turns a messy problem into a simple answer.
Use structure, not guesswork. Factoring and constraints turn one equation into a solvable system.
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4mo ago
marcusmathstutor
Use structure, not guesswork. Factoring and constraints turn one equation into a solvable system.
The math trap that steals marks. Why squaring an equation creates fake answers.
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3mo ago
marcusmathstutor
The math trap that steals marks. Why squaring an equation creates fake answers.
The math logic that seems to break the internet.
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3mo ago
marcusmathstutor
The math logic that seems to break the internet.
These two numbers look almost identical. In fact, the difference is only about 0.0002. But this is a non-calculator problem, so how can you prove which one is bigger? The key is turning each difference of square roots into something much easier to compare.
A lovely example of how algebra can reveal what a decimal approximation hides.
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654
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3w ago
marcusmathstutor
These two numbers look almost identical. In fact, the difference is only about 0.0002. But this is a non-calculator problem, so how can you prove which one is bigger? The key is turning each difference of square roots into something much easier to compare. A lovely example of how algebra can reveal what a decimal approximation hides.
How many numbers from 1 to 1,000 contain a 9?
ㅤ
You could start counting:
ㅤ
9, 19, 29, 39...
ㅤ
But it gets messy surprisingly quickly. What happens at 90? Or 99? How do you make sure you haven’t missed or double-counted anything?
ㅤ
The better question is:
ㅤ
How many numbers don’t contain a 9?
ㅤ
Sometimes the fastest way to solve a maths problem is to stop trying to solve the problem you were given and find an easier one instead.
ㅤ
That change of perspective is exactly the kind of problem-solving we want young mathematicians to develop.
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4d ago
marcusmathstutor
How many numbers from 1 to 1,000 contain a 9? ㅤ You could start counting: ㅤ 9, 19, 29, 39... ㅤ But it gets messy surprisingly quickly. What happens at 90? Or 99? How do you make sure you haven’t missed or double-counted anything? ㅤ The better question is: ㅤ How many numbers don’t contain a 9? ㅤ Sometimes the fastest way to solve a maths problem is to stop trying to solve the problem you were given and find an easier one instead. ㅤ That change of perspective is exactly the kind of problem-solving we want young mathematicians to develop.
Think you have what it takes to solve this Math Olympiad simultaneous equation designed for 16-year-olds? Watch the step-by-step algebraic breakdown to find the solution, and see why simply guessing the answer won't get you full marks!
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6mo ago
marcusmathstutor
Think you have what it takes to solve this Math Olympiad simultaneous equation designed for 16-year-olds? Watch the step-by-step algebraic breakdown to find the solution, and see why simply guessing the answer won't get you full marks!
This cancellation is completely wrong… yet somehow the answer is right.
16/64 is one of just 5 fractions where cancelling the matching digits gives the correct answer.
Can you find the other 4?
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3w ago
marcusmathstutor
This cancellation is completely wrong… yet somehow the answer is right. 16/64 is one of just 5 fractions where cancelling the matching digits gives the correct answer. Can you find the other 4?

Marcus | Competition Maths Tutor (@marcusmathstutor) Instagram Stats & Analytics

Marcus | Competition Maths Tutor (@marcusmathstutor) has 14.9K Instagram followers with a 2.01% engagement rate over the past 12 months. Across 265 posts, Marcus | Competition Maths Tutor received 103K total likes and 5.25M impressions, averaging 390 likes per post. This page tracks Marcus | Competition Maths Tutor's performance metrics, top content, and engagement trends — updated daily.

Marcus | Competition Maths Tutor (@marcusmathstutor) Instagram Analytics FAQ

How many Instagram followers does Marcus | Competition Maths Tutor have?+
Marcus | Competition Maths Tutor (@marcusmathstutor) has 14.9K Instagram followers as of September 2026.
What is Marcus | Competition Maths Tutor's Instagram engagement rate?+
Marcus | Competition Maths Tutor's Instagram engagement rate is 2.01% over the last 12 months, based on 265 posts.
How many likes does Marcus | Competition Maths Tutor get on Instagram?+
Marcus | Competition Maths Tutor received 103K total likes across 265 posts in the last 12 months, averaging 390 likes per post.
How many Instagram impressions does Marcus | Competition Maths Tutor get?+
Marcus | Competition Maths Tutor's Instagram content generated 5.25M total impressions over the last 12 months.