Primary 6 Mathematics tuition in Loyang can help a child combine two ratios without changing what their units mean. When one ratio compares A with B and another compares B with C, the shared quantity B needs matching units before the ratios can be joined.
For parents choosing weekday or weekend support, the practical aim is a time when the pupil can explain that matching step. Writing three attractive numbers in a row is not enough if the common quantity has two different values.
eduKate’s diagnosis-first approach starts with the child’s actual working. Focused 3-pax support should make the shared quantity and equivalent ratios visible. The chosen routine needs to fit school learning and the pupil’s available concentration.
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Label the ratios before calculating. In A:B and B:C, the middle quantity B appears in both comparisons.
Inspect its units. If B is represented by three units in one ratio and four in another, the ratios cannot be joined directly.
Equivalent ratios allow the shared quantity to use the same number of units. This is a comparison step, not an addition of the two B entries.
A weekday lesson can revisit a recent linked-ratio attempt close to the school explanation. Bring the pupil’s labels as well as the calculation.
Allow a pause after school before asking for careful reasoning. The pupil should be able to say which entries refer to the same actual quantity.
Use one short variation with a different common quantity. That tests understanding beyond memorising a procedure for the middle letter.
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A weekend can provide room to scale each ratio and explain why multiplying both entries preserves the comparison.
Keep labels beside the numbers throughout. They help prevent the pupil from matching entries that belong to different quantities.
Arrange a brief weekday revisit. Independent matching of the shared units is the useful check.
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Three boxes contain counters. A:B = 2:3 and B:C = 4:5. Together they contain 70 counters. Find the number in each box.
Make the units for B equal. Multiply 2:3 by 4 to obtain A:B = 8:12. Multiply 4:5 by 3 to obtain B:C = 12:15.
The combined ratio is A:B:C = 8:12:15. The two entries of 12 refer to the same box B, so include B only once.
The total is 8 + 12 + 15 = 35 units. One unit is 70 ÷ 35 = 2 counters, giving A = 16, B = 24 and C = 30.
Check: 16:24 simplifies to 2:3, 24:30 simplifies to 4:5, and 16 + 24 + 30 = 70.
Try a fresh version: A:B = 3:2 and B:C = 5:4. Matching B gives 15:10:8. With a total of 66, the counts are 30, 20 and 16.
Joining the original entries as 2:3:5 ignores that B has different unit counts in the two given ratios. Match the common quantity before forming the total.
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A tutor should ask each pupil why the shared units must match. That question tests the relationship before more numerical practice is added.
One pupil may use a labelled table while another writes equivalent ratios. Both methods should retain the identities of A, B and C.
End with independent working and checks of both original ratios. Matching the total alone does not establish that the combined comparison is correct.
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Confirm current school scope, actual venue and available lesson times before comparing travel, energy and other commitments.
Set a narrow review target: identify the shared quantity, form equivalent ratios and check the recovered counts.
Look for success when the common quantity appears in a different position. Understanding should follow the labels rather than a memorised layout.
Weekday and weekend lessons are both possibilities. Choose the routine that makes careful reasoning and short revisits practical.
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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.
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