Math Academy

Math Academy A specialised Mathematics tuition centre focused exclusively on Secondary & JC levels. We are one MRT stop from Choa Chu Kang and Batok.

We offer E Math, A Math, Lower Sec G3 and JC H2 Maths tuition, led by highly experienced educators with strong results and trusted parent reviews. Math Academy is a tuition centre that specialises exclusively in Mathematics.Maths tuition @ Math Academy, we develop our own set of copyrighted notes. Our team of teachers worked on past year exam papers, Cambridge papers and understand the style of qu

estions being asked. We train and drill our students at the RIGHT questions.We provide them with the exact ingredients to succeed.Maths Tuition @ Math Academy, we are a unique group of teachers who have been doing maths for life. NIE degree, first class honours degree in Mathematics are just some of the many accolades that we hold. We are extremely familiar with the concepts and techniques required to do well in O and A levels. E maths, A maths and JC H2 maths are our forte.Math Academy is a tuition centre in Gombak, that focuses on Secondary A Maths, E Maths and JC H2 Maths (small group tuition). We pride ourselves in providing small group tuition (max 7 to 9students) and comprehensive notes. Our patience and commitment provide the difference that our students appreciate. Math Academy was previously renamed from JolynMathsHub, established since 2001.

24/08/2026

Flip every height on a curve and you get its reciprocal graph, y = 1/f(x). Here is
what that does to the picture, on f(x) = x^2 - 1.

Where f is big, 1/f is tiny, so the arms flatten onto the x-axis. Where f = 0
there is nothing to flip, because 1/0 doesn't exist - so each root becomes a
vertical asymptote. Between the roots f is negative and so is 1/f: the sign never
changes. And the vertex doesn't move at all, since f(0) = -1 and 1/(-1) = -1.

Overlay the two curves and they meet exactly where f(x) = 1 or -1.

This is straight out of H2 graphing techniques (9758). Follow for more maths made
visual.

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Math Academy - JC H2 & Secondary Maths specialists. 2,000+ students coached.
Real exam questions, taught the smart way.

23/08/2026

The commonest lost mark in H2 integration: substituting the variable but
leaving the old limits behind. With t = tan x, pi/3 becomes sqrt3, and the
integral turns into a standard inverse-tangent form.

Taught by Mr Ian Ang, co-founder of Math Academy — First Class Honours in Pure Mathematics, NUS.

20/08/2026

Two modulus graphs that students constantly confuse, shown as pictures on
f(x) = x^2 - 2x - 3 = (x+1)(x-3).

y = |f(x)| folds everything below the x-axis upward. Nothing above the axis
moves, and every root survives as a sharp corner rather than a turning point.

y = f(|x|) is a different rule: keep x >= 0, throw the left half away, and
mirror the kept half across the y-axis. The result is symmetric by construction
and gains its own corner at (0, -3), which is not a root.

Overlay the two and they agree only for x >= 3.

This is straight out of H2 graphing techniques (9758), and it is Sec 4 A-Math
modulus territory too. Follow for more maths made visual.

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Math Academy - JC H2 & Secondary Maths specialists. 2,000+ students coached.
Real exam questions, taught the smart way.

FIRST COMMENT (link + tags):

Free practice -> https://mathacademy.sg

17/08/2026

The region between an ellipse and a circle looks like four petals. Symmetry
turns it into one integral, and choosing the direction of the strips decides
how ugly the algebra gets.

Taught by Mr Ian Ang, co-founder of Math Academy — First Class Honours in Pure Mathematics, NUS.

Full lesson and more JC H2 Maths worked examples:
https://mathacademy.sg/courses/jc-maths-tuition-h2/

16/08/2026

Every A-Maths student memorises b^2 - 4ac > 0, = 0, < 0. Here is the picture
behind it.

On y = x^2 - 6x + c, only c slides, so the parabola just moves up and down. The
two roots march together, merge at x = 3, then disappear - and b^2 - 4ac falls
16 -> 0 -> -8 with them.

Complete the square and you see why: y = a(x + b/2a)^2 - (b^2 - 4ac)/(4a), so
the vertex sits at y = -(b^2 - 4ac)/(4a). The discriminant is the depth of the
vertex below the x-axis, times 4a. Vertex below the axis, two roots. On it, one.
Above it, none.

Straight out of O-Level Additional Maths (4049), Sec 3. Follow for more maths
made visual.

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Math Academy - JC H2 & Secondary Maths specialists. 2,000+ students coached.
Real exam questions, taught the smart way.

13/08/2026

A periodic sequence repeats forever — which means a 50-term sum is really just
a 3-term sum, counted 16 times, with two leftovers.

This is from our J2 End-of-Year revision lesson (2024/ACJC/Promo/8b). Full
lesson on our channel.

12/08/2026

Your calculator doesn't store root 2 - it computes it, using Newton-Raphson. Start
with any wild guess on y = x^2 - 2, draw the tangent where you stand, and follow it
down to the x-axis for a better guess. Repeat.

It converges so fast you can't watch it at one scale: we had to magnify x7, then
x245, just to keep the next tangent visible. Each step roughly doubles the correct
digits, so four steps give root 2 to eight decimal places. One rule does all of it:
x_(n+1) = x_n - f(x_n)/f'(x_n).

Not a JC syllabus topic - just what your calculator is doing every time you press
the root key. Follow for more maths made visual.

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Math Academy - JC H2 & Secondary Maths specialists. 2,000+ students coached.
Real exam questions, taught the smart way.

09/08/2026

Write a plane as r·n̂ = d with a unit normal and the right-hand side stops being an abstract number — it IS the distance from that plane to the origin. So when a question asks for the two planes a perpendicular distance k away, you do not start again: they are parallel, they share the same n̂, and only the distance changes. r·n̂ = d ± k gives you both. The step students skip is making it n̂ first by dividing through by the modulus of the normal.

Taught by Mr Ian Ang, co-founder of Math Academy — First Class Honours in Pure Mathematics, NUS.

Full lesson and more JC H2 Maths worked examples:
https://mathacademy.sg/courses/jc-maths-tuition-h2/

06/08/2026

Two unknowns and a curve — y = axⁿ — with no obvious way to fit it. Here's the
A-Maths trick: take lg of both sides and it becomes a straight line,
lg y = n lg x + lg a. Plot lg y against lg x, and the gradient is n while the
intercept is lg a. Straighten the curve, read the answer. That's Linear Law.

Save this for your next Linear Law question. Follow for more A-Maths tricks.

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📐 Math Academy — JC H2 & Secondary Maths specialists. 2,000+ students coached.
Real exam questions, taught the smart way.

03/08/2026

Every standard summation result in the formula list starts at r = 1, so a sum running from r = −n to n feels like it needs something new. It does not. Write out a small case instead: sum r² from −2 to 2 and the squares remove every minus sign, so the left half mirrors the right and the total is exactly twice the positive half. Swap r² for r and the same list cancels term by term to zero. Even powers double, odd powers vanish, and a constant only needs a count of terms.

Taught by Mr Ian Ang, co-founder of Math Academy — First Class Honours in Pure Mathematics, NUS.

Full lesson and more JC H2 Maths worked examples:
https://mathacademy.sg/courses/jc-maths-tuition-h2/

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