Why is a door easier to open when you push near its handle than when you push beside the hinge? And why can a narrow shoe heel exert greater pressure on the floor than a broad sole when the person’s weight has not changed? These are ideal questions for Bukit Timah Physics tuition because the right explanation begins with physical reasoning before any formula appears.
For Secondary 3 and Secondary 4 learners preparing for O-Level Physics or 2027 Singapore-Cambridge SEC G3 Physics K323, moments, equilibrium, centre of gravity, stability, pressure, density and hydraulics are connected by one important teaching habit: describe the force and where it acts. A good Physics tutor should help students recognise the pivot, measure perpendicular distance, choose the relevant area and determine what is being balanced, rather than memorise equations without understanding their geometry.
At eduKateSG Bukit Timah, our tutorial approach is built around small-group reasoning with up to three compatible learners per class, subject to a suitable Physics timetable and available places. Our centre is at 8 Fourth Avenue, Singapore 268674, near Sixth Avenue MRT. This guide provides an original, practical explanation of the turning-effects and pressure chapters, with parent-friendly diagnostics and examples tied to the official curriculum.
The Core Aim: Ask Where the Force Acts
Students often begin Physics calculations by asking which equation they should use. For turning effects and pressure, the better first question is “Where, and over what geometry, does the force act?” The same force can have different effects because its position, direction and distribution change.
A force exerted close to a pivot may have little turning effect; the same force acting further away may rotate an object more strongly. A given force concentrated on a small contact area creates greater average pressure than the same force distributed over a larger area. These are two different quantities, but both require careful physical representation.
The tutor’s work is to help the learner see the mechanism before calculating. A well-labelled door, plank, shoe, hydraulic piston or water container can make the quantitative relationships feel logical rather than arbitrary.
What This Article Owns
This page owns the geometry and force-distribution pathway in Bukit Timah Physics: moments, equilibrium, centre of gravity and stability, followed by pressure in solids and liquids, density, hydraulic transmission and basic pressure measurement.
It deliberately does not repeat the existing small-group versus private tutor article on graphs and forces, which owns a learning-format decision. Nor does it attempt to reproduce the entire 2027 SEC G3 Physics K323 study plan. Here the parent can understand a defined collection of mechanics skills and how a tutor should teach them.
Moments of a Force: The Turning Effect Has a Centre
The moment of a force about a pivot describes its turning effect. In the situations taught at this level, the size of the moment equals the magnitude of the force multiplied by the perpendicular distance from the pivot to the line of action of that force.
Those words are essential: perpendicular distance to the line of action. Students who simply measure along a slanted door or beam may use the wrong distance even when the force value is correct.
The moment is measured in newton metres, N m. It is different from work, which is also measured using newtons and metres but represents an energy transfer and has a different physical definition.
One pleasant demonstration uses a lightweight classroom door under suitable supervision. A gentle push near the hinge produces little turning compared with an equal push near the handle in the same useful direction. The lever arm changes, and with it the turning effect.
The physical story comes before an equation. Ask the student which push is more effective, what changed, and why the hinge matters. Then write the relationship and check the units.
The Door-Handle Example: A Short Calculation with a Big Lesson
Imagine a 15 N force acting perpendicular to a door at a distance of 0.80 m from its hinge. The moment is 15 × 0.80 = 12 N m about the hinge.
If the same 15 N force acts only 0.20 m from the hinge, the moment becomes 3 N m. The force has not changed; its perpendicular distance from the pivot has changed by a factor of four.
Ask the learner to predict whether the moment will rise or fall before substituting numbers. If they can make this prediction, they probably understand the relationship rather than merely recognising a multiplication.
Now complicate the question gently. Suppose the applied force is slanted rather than perpendicular to the door. The relevant lever arm is no longer automatically the distance along the door; it is the shortest perpendicular distance from the hinge to the force’s line of action.
A tutor can show this with a labelled drawing and then ask the learner to construct the perpendicular. The first challenge is geometry, not arithmetic.
The Line of Action: A Hidden Source of Lost Marks
A line of action extends through the applied force in its direction. To determine the turning effect, the student finds the perpendicular separation between this line and the pivot.
A common wrong method is to use the entire length of a plank regardless of where the force acts. Another is to measure to the end of an arrow instead of the line along which the force operates. These two errors look different but arise from the same misunderstanding.
A reliable routine has four steps: mark the pivot, draw the force arrow, extend its line of action if necessary, and mark the shortest perpendicular distance between that line and the pivot.
Only then should the learner multiply the force by the distance. If the force’s line of action passes directly through the pivot, the moment about that pivot is zero even if the force is not zero.
A tutor should test this last case explicitly. It is an efficient way to discover whether the child has started to understand the geometric principle.
Clockwise and Anticlockwise: Signs Have Meaning
When several forces act, each can tend to rotate the object clockwise or anticlockwise about a selected pivot. Choose a sign convention or explicitly list the turning senses and remain consistent.
Students sometimes add all moments as positive numbers, then wonder why a beam cannot balance. The physical directions matter. A clockwise tendency can be opposed by an anticlockwise tendency.
A good tutor can ask the learner to imagine the plank free to rotate under one force at a time. Which direction would each force make it turn? This is more dependable than assigning signs by which side of the drawing contains a label.
The Principle of Moments: Balance Requires Equal Opposing Turning Effects
For an object in rotational equilibrium about a pivot, the total clockwise moment equals the total anticlockwise moment in the usual school setup. More generally, the net moment is zero.
That condition is necessary for rotational equilibrium but is not by itself the whole story of static equilibrium. An object in complete static equilibrium also has zero resultant force. These are related checks, not identical statements.
In many school lever problems the pivot reaction and weights are arranged so that the principle of moments yields the unknown force or distance without requiring a full force-vector calculation.
The teacher should make clear which equilibrium conditions are being used and why choosing a convenient pivot may simplify the arithmetic.
Worked Example: Find the Distance Needed for Balance
Suppose a horizontal lightweight beam is supported by a pivot, and a downward 12 N force acts 0.50 m to the left. A second downward force of 20 N acts to the right at an unknown distance x. Assume their effects oppose and ignore any weight of the beam as stated.
The left-hand moment has magnitude 12 × 0.50 = 6 N m. Balance requires the same magnitude on the right, so 20x = 6 and x = 0.30 m.
A useful tutor follow-up asks which force must act closer to the pivot. The larger 20 N force should need a smaller lever arm to create the same turning effect. That physical estimate checks the calculated result.
Then change one number, or move a force to the opposite side, and ask the child to determine the turning sense before calculating. The modified task reveals whether they understand balance or simply copied 12 × 0.50 = 20x.
When the Beam Has Its Own Weight
A school question may include a uniform beam whose weight acts through its centre of gravity. Leaving that force off the diagram can change the answer. The tutor should ask what has been declared negligible and what must be included.
The centre of gravity is the point at which the weight of a body may be considered to act for these calculations. For a uniform straight beam of constant cross-section, it is typically at the midpoint, under the usual idealisations.
If a load is added away from that point, the resultant centre of gravity of the combined system can shift. Students should pay attention to whether the question asks about the beam alone or the beam plus attached objects.
This is an example of how defining the system avoids a deceptively neat but wrong calculation.
Centre of Gravity and Stability: Why Some Objects Tip More Easily
An object can remain upright while the line of action of its weight falls within its base of support. As it tilts, the location of that line relative to the base becomes important. If the line falls outside the base, the object’s weight can produce a toppling moment about an edge.
A broader base of support and a lower centre of gravity generally improve stability under comparable conditions. This helps explain why some heavy objects are designed with mass low down and why a tall narrow item may tip more readily.
It is useful to test qualitative reasoning before introducing any geometry. Which of two objects is more stable when nudged sideways, and why? A student should mention the line of action of weight and the base, not only that one object “looks stronger”.
Students may incorrectly claim that the centre of gravity always lies within the material of the object. For a ring or certain hollow shapes, the centre of gravity can lie in empty space. The concept is a point for representing the overall weight, not necessarily a location occupied by solid matter.
A Practical Paper-Based Test of Stability
Draw two rectangles with equal mass but different widths and heights. Mark their approximate centres of gravity. Now imagine tilting each to one side, and draw a vertical line downwards from its centre of gravity.
Ask when the line crosses an edge of the base. This is a qualitative way to investigate tipping without moving heavy furniture or creating unsafe demonstrations.
The student should explain which geometric change requires a larger tilt before the line leaves the base. The tutor can then show that the underlying argument generalises to platforms, stools, vehicles and other objects in appropriate models.
A simple diagram can reveal a misconception that several pages of calculations might miss.
A New Physical Quantity: Pressure
Pressure describes normal force per unit area in the straightforward solid-contact model, expressed as p = F/A. The SI unit is the pascal, Pa, equivalent to one newton per square metre.
A large force does not always produce a large pressure; the area over which it acts matters. Similarly, a small force can create relatively high pressure if it is concentrated over a very small area.
This is why a broad shoe sole distributes a person’s weight differently from a narrow heel. It is also why a sharp edge concentrates applied force and can penetrate a soft material more easily than a blunt face under comparable conditions.
Teach students to label the actual contact area involved. A common mistake is to use the entire visible area of the object rather than the small area touching the surface.
Worked Example: A Load on a Contact Surface
Suppose a 360 N downward force is distributed uniformly over a contact area of 0.030 m². The average pressure is 360 / 0.030 = 12,000 Pa, or 12 kPa.
If the same force is spread over 0.060 m² instead, the average pressure becomes 6,000 Pa. The pressure halves when area doubles and force is unchanged.
Ask whether the force itself became smaller. It did not. The distribution changed. This is a wonderful conceptual test because students often conflate force with pressure.
Next, replace the area with 300 cm² and ask the learner to convert to square metres. A square unit conversion is not the same as converting linear centimetres; 300 cm² equals 0.030 m². The unit step is frequently more demanding than the division.
The Unit Conversion That Commonly Goes Wrong
One metre is 100 centimetres, but one square metre is 10,000 square centimetres. Students who convert area using only a factor of 100 may produce pressures a hundred times too large or too small.
A reliable method writes the conversion explicitly: 1 cm² = (0.01 m)² = 0.0001 m². Then multiply by the number of square centimetres.
For a contact area of 250 cm², the SI area is 0.0250 m². If a 500 N force acts normally and uniformly across it, the average pressure is 500 / 0.0250 = 20,000 Pa.
The tutor should check whether the student understands why the conversion is squared, not simply whether the calculator shows the right number.
Density: Another Ratio That Must Be Understood
Density is mass per unit volume, ρ = m/V. For an object of mass 2 kg occupying 0.001 m³, the density is 2,000 kg m⁻³. Both the mass and the volume must be expressed in compatible units.
A denser object is not necessarily heavier in total than a less dense one. A small piece of metal can have greater density but less mass than a large piece of wood. The quantities answer different questions.
This distinction matters when students reason about liquids at different depths. Pressure in a static fluid is influenced by density and depth, not simply by how large the container looks.
A tutor might ask a learner to compare the density of two liquids with equal masses but different volumes. Then change the example to equal volumes but different masses. A child who can explain both has begun to own the ratio.
Pressure in a Liquid: Depth Matters
For a static liquid of uniform density under the school model, the pressure contribution due to a liquid column of vertical depth h is p = ρgh, where ρ is density and g is gravitational field strength.
Students sometimes measure h along a sloping pipe, rather than vertically below the free surface. In this hydrostatic relationship, depth is vertical, and the shape of the container alone does not determine the pressure at a particular depth.
Another common error is to use the container’s total water volume. A wide tank and a narrow tank containing the same liquid can have the same liquid-pressure contribution at equal depth, even if the total volume differs.
Draw two containers with different shapes and mark points at equal depth. Ask the child to predict their pressures before giving a numerical question. This tests the idea more directly than formula substitution.
Worked Example: Two Metres Below the Surface
Suppose a point lies 2.0 m below the free surface of water. For the problem, use density 1,000 kg m⁻³ and g = 10 N kg⁻¹. The pressure due to the water column is p = 1,000 × 10 × 2.0 = 20,000 Pa.
This is the pressure contribution associated with the water column. If the question asks for absolute pressure at the point, the atmospheric pressure acting at the free surface may also need to be considered. A learner should not silently assume every problem asks for the same pressure definition.
At a depth of 4.0 m in the same liquid, the liquid-column pressure contribution doubles to 40,000 Pa. The relationship with depth is linear when density and g are constant.
Now change the liquid density while holding depth fixed. The more dense liquid produces a larger hydrostatic pressure difference. This comparison gives the equation a physical meaning.
Atmospheric Pressure and Pressure Difference
Atmospheric pressure is the pressure exerted by the atmosphere. A liquid-column barometer uses the balance of atmospheric pressure and a column of liquid to infer its magnitude under appropriate conditions.
A manometer measures a pressure difference, often by observing a height difference between liquid levels. Students need to identify what each side of the device is connected to and which pressure difference the liquid-column height represents.
A diagram can show the direction of the liquid displacement. If the student’s answer predicts the opposite displacement from the higher-pressure side, the tutor should re-examine the physical setup before calculating.
The key distinction is between an absolute pressure, a gauge pressure and a pressure difference. They are related but not interchangeable, and the wording of a question determines which one is required.
Hydraulics: How a Smaller Force Can Produce a Larger One
In an ideal hydraulic system, pressure applied to a confined fluid is transmitted, allowing forces on pistons to be related through their areas. If the pressure is the same in the idealised arrangement, then F1/A1 = F2/A2.
A larger output piston can experience a larger force because the same pressure acts over a larger area. This sounds like something for nothing until we examine movement: the larger piston travels a shorter distance when the smaller piston moves a given distance in an ideal incompressible system.
Energy conservation is therefore not being broken. A useful tutoring explanation links the force advantage to the distance trade-off, rather than teaching a numerical formula without the physical story.
Real hydraulic machines have losses and engineering constraints. The school example deliberately simplifies these to make pressure transmission clear.
Worked Example: The Ideal Hydraulic Press
Suppose an input piston with area 0.010 m² experiences a downward force of 100 N. The applied pressure is 100 / 0.010 = 10,000 Pa.
If that pressure is transmitted ideally to an output piston of area 0.20 m² at the same relevant hydraulic level, the output force is 10,000 × 0.20 = 2,000 N.
The force is twenty times greater than the input force because the output area is twenty times larger. To conserve volume in the ideal model, the input piston must move twenty times the distance moved by the output piston.
Ask the child to sketch both pistons and label areas before multiplying. Then ask why a bigger output force does not imply twenty times more work for free. This reveals whether pressure transmission and energy conservation are being connected.
Moments, Pressure and Hydraulics: A Shared Habit, Not One Equation
| Topic | Key geometry | Main physical question | Error to watch |
|---|---|---|---|
| Moment | Perpendicular distance to the pivot | How strong is the turning effect? | Using the full slanted length |
| Equilibrium | Clockwise and anticlockwise turning senses | Are net forces and moments balanced? | Adding all turns as positive |
| Stability | Centre-of-gravity line and support base | Will the object tip? | Confusing mass with centre-of-gravity location |
| Solid pressure | Actual contact area | How concentrated is the normal force? | Using an irrelevant surface area |
| Fluid pressure | Vertical depth and fluid density | What pressure difference comes from the liquid column? | Using container width or slanted length |
| Hydraulics | Piston areas and transmitted pressure | How do forces and displacements trade off? | Assuming a larger output force means free energy |
The shared skill is identifying the physical system, marking relevant geometry, choosing a relationship and testing the result. That is why a careful Physics tutor can often improve performance across several topics by teaching a repeatable reasoning method.
The Six-Station Diagnostic for a First Lesson
- Ask the student to explain why a door handle is far from the hinge, without equations.
- Provide a slanted force arrow and ask for the correct perpendicular moment arm.
- Show an uneven seesaw and request the turning sense of each force.
- Draw a tall narrow object and a low wide object; ask which tilts more readily and why.
- Give two equal forces acting over different areas and request a pressure comparison.
- Show two differently shaped liquid containers and ask about equal-depth pressure.
The answers should be recorded briefly with the student’s own reasoning. An incorrect answer in one station does not prove the child lacks the whole chapter. It may identify one precise misconception.
When a learner can answer a descriptive question but fails the associated calculation, check geometry and units. When calculations succeed but explanations fail, ask whether the model has been memorised rather than understood.
A Sample Small-Group Tutorial Dialogue
Picture three students discussing a seesaw. One says a heavier person always makes the seesaw turn towards them. Another says the distance from the pivot also matters. A third notices that the forces act at different points and suggests comparing their turning moments.
The tutor can ask everyone to draw the pivot, force arrows and perpendicular distances independently. The group then compares two cases: equal weights at different distances, and unequal weights chosen to balance.
This discussion works because students learn to defend a model with evidence rather than win an argument by speaking first. After the shared explanation, each learner should solve a modified setup alone.
A similar conversation can occur for hydraulic pistons: one student predicts the output force is greater, another worries that energy is created, and the third identifies the shorter output displacement. The tutor connects all three observations.
When a Formula Is Correct but the Answer Is Wrong
Suppose a student writes moment = force × distance, uses 20 N and 0.50 m, and obtains 10 N m. The arithmetic is correct. But if 0.50 m was measured along a slanted beam rather than perpendicular to the force’s line of action, the physical model is wrong.
Similarly, a child may write pressure = force / area and correctly divide 500 by 250, yet forget that 250 is in cm². The numerical operation is valid but the unit handling is not.
In hydraulics, the student may swap the input and output areas and get a smaller force when the output piston is visibly larger. A quick prediction could have exposed the inversion before it reached the answer line.
The tutor must distinguish conceptual, geometric, conversion and algebraic errors. They require different interventions. Repeating the same worksheet is not enough if the earliest wrong step remains invisible.
The Independent Transfer Test
After explaining a door handle, present a wheel nut turned by a spanner with the force applied at an angle. The learner now has to locate the pivot and the perpendicular distance in a different object.
After a seesaw problem, use a horizontal beam with an off-centre weight. Ask whether the child can distinguish the beam’s own weight from an added load and include the relevant moments.
After a pressure calculation involving a shoe, switch to two identical blocks resting on different faces. Which orientation exerts more pressure on the ground? What stays constant?
After a liquid tank problem, present a narrow U-shaped manometer. The learner must identify a vertical height difference and the corresponding pressure difference without copying the tank diagram.
This sequence is strong evidence of learning because the surface changes while the core model remains.
A Four-Week Teaching Sequence for the Two Topic Families
| Week | Main challenge | Evidence of improvement |
|---|---|---|
| 1 | Define pivot, line of action and perpendicular distance | New moment diagrams labelled independently |
| 2 | Balance moments and explain stability | Unseen equilibrium and centre-of-gravity questions |
| 3 | Distinguish force, area, density and depth | Correct solid-pressure and hydrostatic comparisons |
| 4 | Apply hydraulic and pressure-measurement models | Mixed questions solved with correct assumptions and units |
The order is flexible. The school may already have taught one topic but not another. A student might need additional geometry before moments, or squared-unit conversions before pressure. The point is to use the data from their own working.
How Many Questions Should Be Assigned?
The answer depends on what the student is missing. For perpendicular-distance errors, two carefully contrasting diagrams may help more than twenty routine moments calculations. For area conversion errors, a short focused drill followed by a mixed problem may be enough.
An effective homework set might include one prediction, one calculation, one explanation and one changed context. That combination tests whether the learner can move among representations.
If the child already handles these steps independently, tuition can increase complexity and connect the topic to energy or other mechanics concepts. Repeating very easy exercises indefinitely is not progress.
The topical revision versus past-year papers guide provides a framework for deciding when to move into mixed examination practice.
How Parents Can Check Progress Without Teaching the Full Chapter
Ask your child to explain why a door handle is positioned far from the hinge. Then ask what would happen if you pushed in a direction that passes through the hinge. A student who can answer both has a better grasp of the moment principle than one who recites only an equation.
Ask why a flat wide shoe sole gives lower average pressure than a narrow heel under the same load. Then change the example to liquid pressure at different depths. Watch whether the learner realises a new model is required.
The goal is not to interrogate the teenager at dinner. One pleasant physical question can invite a meaningful explanation and reveal which part of the story they understand.
If the student struggles, encourage a sketch rather than supplying the formula immediately. Drawing the forces and geometry often helps the learner reconstruct the reasoning.
Practical Investigations and Safe Learning
The principle of moments can be investigated in a properly supervised setting using a balanced beam, known loads and measured distances. Learners should record pivot locations, force magnitudes and perpendicular distances carefully.
Pressure and density can be explored through safe educational measurements and numerical data. Hydraulic apparatus should be used only where equipment is designed and supervised appropriately; students should not build or modify pressurised devices at home.
An experimental question might require identifying a control variable or explaining why the measured result differs from an ideal prediction. A tutor can develop these reasoning skills with diagrams and data even when direct laboratory equipment is unavailable.
Hands-on practice remains distinct from paper analysis. For any formal practical examination, refer to the student’s school and the current official syllabus.
What the 2027 SEC G3 K323 Syllabus Actually Covers
The official syllabus includes “Turning Effects of Forces” with moments, equilibrium, centre of gravity and stability. It also includes a “Pressure” topic covering pressure, density and fluid pressure, including hydraulic transmission, atmospheric pressure measurement and manometers.
Standalone G3 Physics uses K323 in 2027, whereas Physics components of Combined Science use different subject codes. A responsible tutor should check which combination the learner actually takes before applying the depth of this standalone G3 guide.
The 2027 SEAB G3 syllabus list and official K323 Physics syllabus give the examination scope. The 2026 graduating cohort should continue using its applicable GCE O-Level instructions.
Common Questions from Bukit Timah Parents
Why does my child keep measuring the wrong moment arm?
They may recognise the force but not its line of action. Mark the pivot and extend the force line, then find the shortest perpendicular distance. Test the method on a rotated diagram.
Is a moment the same thing as a force?
No. A force is measured in newtons; a moment describes a turning effect about a chosen pivot and is measured in newton metres.
Does a balanced seesaw mean there are no forces?
No. Forces can act while the total turning effects balance. Complete static equilibrium also requires zero resultant force.
Why does a wider base make an object more stable?
It often allows a larger tilt before the line of action of the weight falls outside the support base, other conditions being comparable.
Is centre of gravity always in the middle?
Only under suitable symmetry and mass-distribution assumptions. For an irregular object, the centre of gravity may be off-centre or even outside the material.
Why does a narrow heel create higher pressure?
For the same normal force, a smaller contact area means a larger average pressure. The total force has not necessarily increased.
Is pressure greater at the bottom of a wider tank?
In a static liquid, pressure due to a column depends on density, gravitational field strength and vertical depth, not directly on tank width.
Does hydraulic multiplication create energy?
No. In the ideal model, a larger output force is accompanied by a smaller output displacement, conserving work apart from losses in real systems.
What is the difference between gauge and absolute pressure?
Gauge pressure is referenced to an ambient pressure; absolute pressure is referenced to a vacuum. Read the question to determine which is required.
Do manometers and barometers do the same job?
They are related pressure-measurement devices but may be arranged for different reference pressures and measurement purposes. Identify the connections and liquid height before applying equations.
How can a three-student group teach force diagrams?
A suitable small group can let students compare their initial sketches, but every learner should attempt a fresh diagram independently after the feedback.
Should my child memorise both moments and pressure formulas immediately?
Knowing the relationships is necessary, but first clarify what distances and areas mean. Reliable calculation follows a correct physical representation.
What if my child can solve simple questions but freezes when the drawing changes?
Practise redrawing the model and explaining each quantity aloud before using numbers. The aim is transfer from one diagram to another.
Where can I find Physics tuition near Sixth Avenue MRT?
The Bukit Timah Tuition Hub provides the local eduKateSG route; check current Physics grouping and syllabus compatibility at 8 Fourth Avenue.
The Larger Lesson: Geometry Gives the Formula Its Meaning
A student who can point to the correct perpendicular distance, choose a pivot, identify the relevant contact area and measure a vertical liquid depth is doing something more important than recalling four formulas. They are learning to represent physical situations accurately.
That is the core aim of Bukit Timah Physics tuition across moments and pressure: build the diagram first, choose the correct physical quantity, check units and solve a changed problem without rescue.
The hinge, seesaw, shoe, water column and hydraulic press may look like five separate topics. A confident learner sees the shared discipline behind them: define the system, explain the geometry, reason with forces and test the result.
Continue Through the Bukit Timah Physics Series
- Thermal Physics, Specific Heat Capacity and Latent Heat — link macroscopic observations to microscopic energy.
- Energy, Work, Power and Efficiency — understand work and energy conservation in mechanical systems.
- Electromagnetic Induction, Generators and Transformers — apply changing-field reasoning.
- Parent Physics Progress Checklist — monitor reasoning and transfer.
- The Core Aim of Good Physics Tuition — the overall learning philosophy.
- Bukit Timah Tuition Hub — begin a local enquiry.
Official syllabus: SEAB K323 G3 Physics 2027, Section II Newtonian Mechanics. For current Physics programme enquiries, see the eduKateSG Bukit Timah Hub.
