
For Rochor parents arranging PSLE Mathematics tuition, the weekday or weekend decision is easier when it follows a specific learning task. A useful lesson supports careful organisation and a later independent attempt.
Catch-up questions offer a useful diagnostic. A head start creates a gap, and two people travelling in the same direction change that gap through the difference in their speeds.
Start with your child’s explanation of the two stages. Then choose a manageable routine with rest, the actual journey to the confirmed venue and a brief follow-up.
eduKateSG · Rochor · Mathematics
Choose a useful learning rhythm
Identify the learning need · Consider weekdays · Consider weekends · Try the worked example · Review your next step
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Ask your child who moves first and how far that person travels before the second person starts. That distance becomes the gap at the start of the catch-up stage.
Next ask how the gap changes each minute when both move. In same-direction travel, the faster person gains the difference between the two speeds.
A pupil may add the speeds because that worked in a meeting problem. The diagnostic should test direction and starting time before calculation.
A weekday lesson may revisit a recent school question while the child remembers the attempted setup. The teacher can locate whether the stages or directions were confused.
Allow food and recovery first. A tired pupil may combine all the numbers without distinguishing the head-start time from the requested catch-up time.
On another day, ask for the initial gap and the one-minute gain only. This small task can test the central relationship.
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A weekend session may give room to connect a timeline with the changing gap. The pupil can see why the two travellers have different total travelling times.
Keep the learning goal focused and finish with a new independent question. More available time does not require several different movement situations together.
Plan a brief weekday revisit with changed speeds. Ask for the stages before the arithmetic, so the method does not become a memorised operation.
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Alicia walks from a point at 60 m per minute. Five minutes later, Tricia starts from the same point in the same direction at 100 m per minute. How long after Tricia starts does she catch Alicia? Assume constant speeds and no stops.
Alicia’s five-minute head start creates a gap of 60 × 5 = 300 m.
Once both are walking, Tricia gains 100 − 60 = 40 m each minute. Closing the 300 m gap takes 300 ÷ 40 = 7.5 minutes.
Check their distances at that time: Tricia has walked 100 × 7.5 = 750 m. Alicia has walked for 5 + 7.5 = 12.5 minutes, covering 60 × 12.5 = 750 m.
The requested answer is 7.5 minutes after Tricia starts, equivalent to seven minutes and thirty seconds. It is not Alicia’s total travelling time of 12.5 minutes.
For a fresh attempt, the first walker moves at 50 m per minute with a four-minute head start. A second walker follows at 90 m per minute. The initial gap is 200 m and the gain is 40 m per minute.
The catch-up time is five minutes after the second start. Both reach 450 m from the start: 90 × 5 and 50 × 9. The assumptions of the same starting point, same direction and constant speeds are part of the setup.
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In a three-pupil group, every child can explain the head-start gap and the catch-up gain. The teacher can hear whether the timeline is understood before calculations begin.
Follow the shared example with separate fresh attempts. Each pupil needs to check both travelled distances using the correct elapsed times.
Ask about matching by learning needs and feedback. Confirm the actual venue, current availability and realistic travel time before choosing a session.
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After several lessons, vary which elapsed time a new question requests. Can your child distinguish time since the first start from time since the second?
If the gap calculation is clear but the timeline is not, return to labelled stages. If the setup is secure, address arithmetic and units separately.
Match the task to taught topics and current school guidance. Use the examination-year specification for the appropriate Standard or Foundation level; these routines are teaching suggestions rather than official requirements.
Share recent working and realistic weekday or weekend hours through the eduKate enquiry page. Let diagnosis lead the support discussion.
References and next steps
Official examination reference: SEAB PSLE formats examined in 2026, including separate Standard and Foundation Mathematics specifications. Use the document for the pupil’s examination year and level, and the school’s current assessment instructions. Worked examples are original teaching illustrations; suggested routines are practical options rather than official assessment requirements.
Mathematics Learning Hub · Discuss your child’s learning needs with eduKate
