Secondary 3 G2 Mathematics Tutor Bukit Timah | Scale Drawings, Maps and Actual Distances. Did you know? One centimetre on a map may represent hundreds of metres on the ground.
This Secondary 3 G2 Mathematics tutor guide for Bukit Timah explains scale drawings, maps and actual distances using clear worked examples and practical checking habits. Follow the current school chapter sequence.
Understand a scale
A 1:5000 scale means one unit on the drawing represents 5000 of the same units in reality. Thus 1 cm represents 5000 cm, or 50 m.
A useful follow-up is to change the values and explain why the same mathematical relationship still applies. Check the original question’s units, assumptions and required form of the answer.
Map distance example
A 6 cm route on a 1:5000 map represents 6×5000=30000 cm=300 m, assuming the measured map route matches the intended real route.
A useful follow-up is to change the values and explain why the same mathematical relationship still applies. Check the original question’s units, assumptions and required form of the answer.
Reverse a scale
A real 450 m distance is 45000 cm. At 1:5000, drawing distance is 45000/5000=9 cm.
A useful follow-up is to change the values and explain why the same mathematical relationship still applies. Check the original question’s units, assumptions and required form of the answer.
Area scale
If every length is enlarged by factor 3, area scales by 3²=9, not by 3. A 4 cm² drawing region becomes 36 cm² under uniform enlargement.
A useful follow-up is to change the values and explain why the same mathematical relationship still applies. Check the original question’s units, assumptions and required form of the answer.
A map limitation
A straight-line map distance is not necessarily the actual walking or driving route. Use the route traced on the map if the question specifies it.
A useful follow-up is to change the values and explain why the same mathematical relationship still applies. Check the original question’s units, assumptions and required form of the answer.
Self-check
For a 1:20000 map, 2.5 cm represents 50000 cm=500 m. Check units before stating the answer.
A useful follow-up is to change the values and explain why the same mathematical relationship still applies. Check the original question’s units, assumptions and required form of the answer.
A practical seven-day revision sequence
Day 1: identify the mathematical quantities. Day 2: practise a worked example. Day 3: change the given values. Day 4: attempt an unlabelled question. Day 5: explain the first mistaken step. Day 6: combine the topic with a related skill. Day 7: complete an independent retest after a delay.
Frequently asked questions
How do I choose the right method? Start with the known quantities and the question’s required result. How do I check? Substitute into the original information and check units or probabilities. What should a tutor diagnose? The first incorrect interpretation or operation, not simply the final wrong number.
Official syllabus and local tuition context
See the 2027 SEC G2 Mathematics K210 syllabus for the precise topic and assessment scope. The unchanged eduKateSG small-group Mathematics reference describes three-pupil lessons near Sixth Avenue. Confirm current Secondary 3 G2 group fit, fees, tutor, venue and timetable directly.
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Related articles: Enlargement and Scale Drawings, Factorisation by Grouping and Probability Rules.