PSLE Learner’s Guide · Vol 0323 · Complete electrical paths and branch control
Find the exact decision this guide helps you make
This guide helps a Primary 6 learner predict which bulbs light by tracing each possible complete path from one battery terminal through components and back to the other terminal. The short rule is trace one battery-to-battery loop at a time and mark every break before deciding about a bulb. You will learn the mechanism, see worked examples, repair common misconceptions, practise in stages and use a compact examination routine.
Choose a reading route
- Understand why the error happens
- Use the step-by-step method
- Study eight worked cases
- Build practice and delayed transfer
- Use the examination-control routine
- Guidance for parents and tutors
- Read the FAQs and choose the next route
This is an examination-performance guide, not a replacement for full topic teaching. Use the complete PSLE Learner’s Guide volume directory to move across this series, the PSLE Learning Guide for the wider sequence and the Science Learning Hub for deeper subject instruction.
For complete teaching, worked practice and topic progression beyond this performance decision, continue through the Science Learning Hub. This volume keeps a narrower job: it helps the learner recognise, execute and check one examination decision without competing with the wider topic owner.
A careful note about the current examination year
This article is written for the 2026 PSLE preparation context. SEAB’s official 2026 formats page lists English Language as subject 0001, revised Mathematics as 0008 and revised Science as 0009. Format details can change, so confirm any paper-specific timing, component or administrative instruction with the current official SEAB 2026 source and your school. The reasoning routine taught here is deliberately broader: it strengthens how you read evidence, make a decision and check an answer.
Why this mistake happens
A circuit diagram can look connected even when no complete path exists. In a branched circuit, one open switch may break only one route while another route remains complete. Learners often follow wires with their eyes, count components, or assume that every switch controls every bulb. The mechanism is topological: current requires an unbroken conducting loop that includes a source. A bulb lights only when it lies on such a complete path. The reliable method starts at one battery terminal, traces one route without jumping gaps, returns to the other terminal, and repeats for every branch.
The mind likes a fast label. A familiar word, operation, result or rule triggers an answer before the conditions have been checked. That shortcut sometimes works in easy practice, so it becomes a habit. In a demanding question, however, a nearby distractor preserves the surface pattern while changing one important condition. The learner then performs a correct-looking move on the wrong object. The repair is to slow only the decision point: identify what is being linked or measured, preserve its labels, test the conditions, and then continue at normal speed.
Think of the method as a chain with four locks. Object: what exact idea or quantity is under discussion? Relationship: how are the relevant parts connected? Condition: what must be true for the move to be valid? Claim: what is the strongest conclusion the evidence actually supports? A weak answer often skips from object to claim. A strong answer makes the two middle locks visible.
The one-line operating rule
Trace one battery-to-battery loop at a time and mark every break before deciding about a bulb. Say it before the first practice set. During timed work, shorten it to four cue words you can recall without stopping.
The step-by-step method
Step 1: Identify the cell or battery terminals that provide the source for the circuit
Identify the cell or battery terminals that provide the source for the circuit. Do this on the page, not only in your head. A brief arrow, label, unit, underline or condition note makes the decision inspectable. If you later find an error, you can repair the exact step instead of restarting the entire answer.
At this stage, do not decorate the answer with extra facts. Ask one diagnostic question: “What evidence would make this step wrong?” If you can name a possible failure, check it now. If the failure is absent, continue. This negative check prevents confidence from replacing proof.
Step 2: Choose one path and trace continuously from one terminal through wires and components
Choose one path and trace continuously from one terminal through wires and components. Do this on the page, not only in your head. A brief arrow, label, unit, underline or condition note makes the decision inspectable. If you later find an error, you can repair the exact step instead of restarting the entire answer.
At this stage, do not decorate the answer with extra facts. Ask one diagnostic question: “What evidence would make this step wrong?” If you can name a possible failure, check it now. If the failure is absent, continue. This negative check prevents confidence from replacing proof.
Step 3: Stop at any open switch, missing connection or insulating gap; that route is incomplete
Stop at any open switch, missing connection or insulating gap; that route is incomplete. Do this on the page, not only in your head. A brief arrow, label, unit, underline or condition note makes the decision inspectable. If you later find an error, you can repair the exact step instead of restarting the entire answer.
At this stage, do not decorate the answer with extra facts. Ask one diagnostic question: “What evidence would make this step wrong?” If you can name a possible failure, check it now. If the failure is absent, continue. This negative check prevents confidence from replacing proof.
Step 4: If the route returns to the other battery terminal, mark every bulb on that route as belonging to a complete path
If the route returns to the other battery terminal, mark every bulb on that route as belonging to a complete path. Do this on the page, not only in your head. A brief arrow, label, unit, underline or condition note makes the decision inspectable. If you later find an error, you can repair the exact step instead of restarting the entire answer.
At this stage, do not decorate the answer with extra facts. Ask one diagnostic question: “What evidence would make this step wrong?” If you can name a possible failure, check it now. If the failure is absent, continue. This negative check prevents confidence from replacing proof.
Step 5: Repeat independently for each branch rather than letting one branch’s result control the others
Repeat independently for each branch rather than letting one branch’s result control the others. Do this on the page, not only in your head. A brief arrow, label, unit, underline or condition note makes the decision inspectable. If you later find an error, you can repair the exact step instead of restarting the entire answer.
At this stage, do not decorate the answer with extra facts. Ask one diagnostic question: “What evidence would make this step wrong?” If you can name a possible failure, check it now. If the failure is absent, continue. This negative check prevents confidence from replacing proof.
Step 6: Check shared components: a break in a shared section can disable several branches at once
Check shared components: a break in a shared section can disable several branches at once. Do this on the page, not only in your head. A brief arrow, label, unit, underline or condition note makes the decision inspectable. If you later find an error, you can repair the exact step instead of restarting the entire answer.
At this stage, do not decorate the answer with extra facts. Ask one diagnostic question: “What evidence would make this step wrong?” If you can name a possible failure, check it now. If the failure is absent, continue. This negative check prevents confidence from replacing proof.
Misconceptions to diagnose and repair
Misconception 1
Tempting move: Assuming physical closeness means electrical connection. This feels efficient because it removes a decision. It is unsafe because the question may have changed the reference, unit, interval, definition or strength of claim.
Repair: return to the line, number, setup or statement that supplies the condition. Mark it with a short label. Then rebuild only the affected link. Keep all earlier work that remains valid. The purpose of checking is targeted correction, not anxious repetition.
Misconception 2
Tempting move: Treating one open branch as though the whole circuit is open. This feels efficient because it removes a decision. It is unsafe because the question may have changed the reference, unit, interval, definition or strength of claim.
Repair: return to the line, number, setup or statement that supplies the condition. Mark it with a short label. Then rebuild only the affected link. Keep all earlier work that remains valid. The purpose of checking is targeted correction, not anxious repetition.
Misconception 3
Tempting move: Counting bulbs instead of tracing paths. This feels efficient because it removes a decision. It is unsafe because the question may have changed the reference, unit, interval, definition or strength of claim.
Repair: return to the line, number, setup or statement that supplies the condition. Mark it with a short label. Then rebuild only the affected link. Keep all earlier work that remains valid. The purpose of checking is targeted correction, not anxious repetition.
Misconception 4
Tempting move: Forgetting the return path to the other battery terminal. This feels efficient because it removes a decision. It is unsafe because the question may have changed the reference, unit, interval, definition or strength of claim.
Repair: return to the line, number, setup or statement that supplies the condition. Mark it with a short label. Then rebuild only the affected link. Keep all earlier work that remains valid. The purpose of checking is targeted correction, not anxious repetition.
Misconception 5
Tempting move: Ignoring a shared switch or wire before the circuit splits. This feels efficient because it removes a decision. It is unsafe because the question may have changed the reference, unit, interval, definition or strength of claim.
Repair: return to the line, number, setup or statement that supplies the condition. Mark it with a short label. Then rebuild only the affected link. Keep all earlier work that remains valid. The purpose of checking is targeted correction, not anxious repetition.
Eight worked cases
Worked case 1: Simple closed loop
Scenario. One cell, one closed switch and one bulb form a single loop.
The tempting error. Saying the bulb lights merely because all symbols touch. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. Trace from one cell terminal through the closed switch and bulb, then back to the other terminal. The path is complete. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Predict that the bulb lights. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Open the switch and identify the exact point where tracing stops. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 2: Simple open loop
Scenario. A switch in the only path is open.
The tempting error. Following the drawn line across the switch gap. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. An open switch is a physical break. The trace cannot cross it, so there is no complete conducting loop. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Predict that the bulb does not light. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Close the switch mentally and retrace the loop. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 3: Two parallel branches
Scenario. Two bulbs sit on separate branches, and both branches are complete.
The tempting error. Tracing one branch and forgetting to inspect the other. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. Each branch provides its own route between the same junctions. Trace both from battery terminal to battery terminal. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Predict that both bulbs light. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Open only the switch in the upper branch and repeat. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 4: One branch open
Scenario. The upper branch contains an open switch; the lower branch is unbroken.
The tempting error. Saying neither bulb lights because the circuit contains an open switch. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. The open switch breaks only the upper route. The lower route still forms a complete loop with the battery. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Upper bulb off; lower bulb on. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Move the switch to the shared wire before the split. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 5: Shared switch before split
Scenario. A switch lies in the main wire before two parallel bulb branches.
The tempting error. Treating it as the control for only the nearest branch. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. Every branch must pass through the shared section before reaching the split. Opening the shared switch breaks all possible loops. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Both bulbs are off when the shared switch is open. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Close it and then test branch switches separately. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 6: Bypassed bulb
Scenario. A conducting wire creates a direct path around a bulb.
The tempting error. Assuming the bulb lights because it is connected at both ends. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. The low-resistance bypass changes the effective route; at Primary 6 level, the bulb is treated as bypassed and not operating normally. The key is to see which path the current can complete. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Identify the direct connecting path and do not count the bulb merely by attachment. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Remove the bypass wire and trace again. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 7: Two cells but broken return
Scenario. The forward wire passes through a bulb, but the return wire is disconnected.
The tempting error. Saying extra cells make the bulb light despite the gap. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. Source strength cannot repair a broken conducting path. The trace reaches the bulb but cannot return to the other terminal. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. The bulb does not light. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Reconnect the return wire and repeat the full loop trace. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Worked case 8: Diagram crossover
Scenario. Two wires cross in a diagram without a junction dot.
The tempting error. Automatically treating the crossing as a connection. The response may contain relevant knowledge, yet it does not answer the precise decision because one label or condition has been lost.
Work the mechanism. Circuit conventions distinguish a crossing from a joined junction. Use the diagram’s junction marking rather than visual overlap alone. Write the decisive evidence beside the step where it is used. This makes the reasoning readable to another person and prevents a later sentence from quietly changing the meaning.
Answer form. Trace paths only through marked connections. Notice that the answer carries both the conclusion and the reason that licenses it. It is complete without becoming a list of everything you know.
Check. Re-read the command word, substitute the conclusion into the original situation and ask whether every noun, number and comparison still has the same referent or unit. If the answer is stronger than the evidence, narrow it.
Delayed transfer. Add a junction dot and identify which new paths become possible. Do this variation after a gap, not immediately, so retrieval rather than imitation drives the solution.
Practice progression: from recognition to transfer
Round 1: mark only
Use six short items. Do not answer them. Mark the object, reference, unit, interval, condition or rule that controls the decision. The goal is accurate noticing without the burden of full writing.
Record the result as one of four codes: N for noticing error, M for method error, I for interpretation error, and C for checking error. Practise the weakest code with a fresh item. Do not repeat an entire worksheet when only one decision needs repair.
Round 2: explain the choice
Solve four items and add one sentence beginning “This is valid because…”. If the sentence merely repeats the answer, the condition is still hidden.
Record the result as one of four codes: N for noticing error, M for method error, I for interpretation error, and C for checking error. Practise the weakest code with a fresh item. Do not repeat an entire worksheet when only one decision needs repair.
Round 3: repair a wrong answer
Take four plausible wrong answers. Identify the earliest faulty link, preserve the correct work and rewrite only what must change. This develops error diagnosis rather than answer copying.
Record the result as one of four codes: N for noticing error, M for method error, I for interpretation error, and C for checking error. Practise the weakest code with a fresh item. Do not repeat an entire worksheet when only one decision needs repair.
Round 4: mixed questions
Mix this job with two older skills. Remove headings that reveal the topic. Decide which routine applies before solving. Selection is part of performance.
Record the result as one of four codes: N for noticing error, M for method error, I for interpretation error, and C for checking error. Practise the weakest code with a fresh item. Do not repeat an entire worksheet when only one decision needs repair.
Round 5: timed set
Use a small timed set with a fixed check budget. Mark a cue at the decision point, finish the answer, then perform one positive check and one rejection check.
Record the result as one of four codes: N for noticing error, M for method error, I for interpretation error, and C for checking error. Practise the weakest code with a fresh item. Do not repeat an entire worksheet when only one decision needs repair.
Round 6: delayed transfer
Return after two or three days with different surface details. Before seeing notes, write the one-line rule from memory and solve. Compare the new error pattern with the earlier one.
Record the result as one of four codes: N for noticing error, M for method error, I for interpretation error, and C for checking error. Practise the weakest code with a fresh item. Do not repeat an entire worksheet when only one decision needs repair.
A compact practice log
- Question source and date
- Decision cue you marked
- Your first answer in one line
- Earliest wrong link, if any
- Corrected rule in twelve words or fewer
- Date for delayed transfer
- Whether the new item was solved without notes
A useful log is small enough to maintain. It should help you predict the next mistake, not become a scrapbook of completed pages.
Checking that tests meaning, not neatness
A check should have a target. First run a positive test: identify the evidence, calculation or condition that supports your answer. Then run a rejection test: name the closest tempting alternative and the exact reason it fails. This pair is more powerful than rereading the same line while hoping to feel certain.
Use a reverse check where possible. Reconstruct the original amount, replace a connector with its expanded meaning, map a conclusion back to the data, or apply the repaired rule to the apparent exception. Reverse checking exposes lost labels and unsupported leaps because the answer has to return to its source.
Stop when the check has answered a real question. Repeatedly changing a sound answer because it feels unfamiliar is not checking. If the object, relationship, condition and claim all remain consistent, keep the answer and move on.
Examination control
When time is tight, use the cue ORCC: Object, Relationship, Condition, Claim. Write only the smallest useful mark—an arrow, a unit, a time interval, a boundary or a qualifying word. The mark should prevent the known error without slowing the rest of the paper.
- Read the command word and identify the decision.
- Mark the object or quantity that must keep its identity.
- State the relationship or operation in plain language.
- Check the condition that makes it valid.
- Give the claim at the strength supported by evidence.
- Use one positive and one rejection check, then stop.
If you become stuck, do not produce a longer answer immediately. Shorten the task: write what is known, what must be decided and what condition separates the two best options. A precise partial structure often unlocks the next step and also makes any partial credit more defensible.
A seven-day delayed-transfer plan
- Day 1: learn the one-line rule and complete two worked cases with notes.
- Day 2: solve four short items without notes; classify errors by N, M, I or C.
- Day 3: mix two new items with two older PSLE skills and hide the topic labels.
- Day 4: explain one case aloud to a parent, tutor or imaginary learner in under two minutes.
- Day 5: complete a timed mini-set and use the ORCC marks only at decision points.
- Day 6: rest this skill or practise a different subject so memory has to consolidate.
- Day 7: attempt one unfamiliar transfer item, then write the smallest rule revision needed.
Success on Day 7 matters more than fluency immediately after reading. Delayed transfer shows whether you can retrieve the method, recognise its job under new surface details and control it without a model beside you.
Guidance for parents and tutors
Ask for the decision, not a performance speech. Useful prompts are: “What exactly are you deciding?”, “Which word, unit or condition controls it?”, “What is the closest wrong option?” and “How can you check without starting again?” These questions keep ownership with the learner while making thinking visible.
When an error occurs, locate its earliest point. Praise accurate diagnosis even before the final answer is corrected. If the learner repeatedly loses the same label, introduce one stable notation: arrows for reference, units beside remainders, interval brackets for rates, or boxes around claim conditions. Avoid adding several new routines at once.
Build variation gradually. Begin with clean examples, then add one plausible distractor, then mix the skill with older content, and finally delay the next attempt. A learner who succeeds only when the worksheet title names the method has learned recognition, not transfer.
Keep emotional temperature low. A surprising exception or remainder is information, not proof that the learner is “bad at” a subject. The practical question is which link changed. Once that link is named, practise a small set that isolates it and then return to mixed questions.
The independent-reader test
Before you call the skill secure, explain one solution to a reader who cannot see your thoughts. Name the starting information, the decision, the condition that controls it and the reason the rejected alternative fails. If the explanation depends on “you know what I mean”, a label is still missing. Add that label to the answer, then remove any sentence that does not help the reader follow the chain.
Next, cover the worked example and rebuild the method from a fresh prompt. Do not copy the surface details. Recover the sequence of decisions. This separates genuine control from familiarity with one page. A learner who can transfer the decision routine to new names, numbers or apparatus has a more dependable examination skill than a learner who can reproduce only the model answer.
Finally, compress the method without losing its safety condition. Write one sentence of no more than fifteen words, then test that sentence against an awkward case. If the short rule gives the wrong result, restore the missing condition. Good compression keeps the mechanism available under time pressure while the awkward case prevents the cue from becoming a careless shortcut.
A timed diagnosis drill
Set aside twelve minutes and choose three unfamiliar questions that could trigger this error. Spend the first minute identifying the decision in each question without solving it. Mark the object, relationship, condition and permitted claim. This preview is not wasted time: it prevents you from entering a long method before you know what the method must preserve.
Solve the three questions in the next eight minutes. After each answer, write one tiny prediction about what a correct answer should preserve: a reference word, a whole-number boundary, a pathway, a unit, a direction or an observable result. Then compare the finished answer with that prediction. If they disagree, repair the earliest link and keep the later work only when its meaning remains valid.
Use the final three minutes to classify the errors. A noticing error means the controlling detail was never marked. A method error means the right information was present but the wrong operation or reasoning chain was used. An interpretation error means the result was calculated or observed correctly but described at the wrong level. A checking error means the answer contained a detectable contradiction that the final audit missed.
Repeat the drill a week later with different surface details and without looking at the old corrections. Improvement is not merely a higher score. Look for a shorter pause at the decision point, fewer unnecessary restarts, more stable labels and a clearer reason for rejecting the nearest wrong answer. Those are signs that the performance routine is becoming portable.
Frequently asked questions
What makes a bulb light?
It must be part of a complete conducting path that includes the cell or battery.
Does one open switch turn off everything?
Only if every possible loop depends on that switch.
Why trace each branch separately?
Parallel branches can have different open or closed states.
What is a shared component?
It is a component in a section used by more than one possible circuit path.
Do more cells fix an open circuit?
No. A stronger source does not bridge a physical gap.
Are crossed wires always connected?
No. Follow the junction convention shown in the diagram.
Should I memorise circuit pictures?
No. Path tracing transfers better when the layout is rotated or rearranged.
What should I study next?
Use the Science Learning Hub for electrical components, conductors, series and parallel arrangements, and safety.
Your next route
Use this guide until you can state the rule, solve an unfamiliar case and explain why the closest alternative fails. Then return to the complete PSLE Learner’s Guide volume directory or move to a deeper subject route: the English Learning Hub, Mathematics Learning Hub, Science Learning Hub, or the full learning-hubs directory. Return to the PSLE Learning Guide when you want to place this skill inside a broader revision sequence.
Continue through this four-guide sequence
This batch begins by locating a hidden grammatical role, separates multiplicative resizing from an additive gap, then uses this complete-path circuit audit before finishing with a cross-subject prediction routine for resisting attractive options.