Secondary 3 G2 Mathematics Tutor Bukit Timah | Ratio: Part-to-Whole and Sharing Problems. Did you know? The ratio 3:2 means three parts compared with two parts, not three-fifths compared with two-fifths until the whole is identified.
This Secondary 3 G2 Mathematics tutor guide for Bukit Timah families explains ratio: part-to-whole and sharing problems using worked examples and practical checking habits. Follow the child’s school chapter list to choose the relevant questions.
Read the ratio
If red to blue counters is 3:2, there are five equal ratio parts altogether. Red is 3/5 of the whole and blue is 2/5.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Share a total
A fictional prize of 150 tokens is split 3:2. One part is 150/5=30, so the shares are 90 and 60 tokens.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Part-to-part
If there are 24 red counters and red:blue is 3:2, one part is 24/3=8. Blue has 2×8=16 counters.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Change a ratio
If a group has 12 boys and 8 girls, ratio is 3:2. After four girls join, the ratio is 12:12=1:1.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Compare ratios
3:4 and 6:8 are equivalent because both parts were multiplied by two. 3:4 and 3:8 are not equivalent.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Use units
A recipe ratio of flour:sugar 3:2 for a total of 750 g gives 450 g flour and 300 g sugar.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Check
The shared parts must add back to the stated total, and the part-to-part relationship must remain correct.
To confirm understanding, change the given values and solve independently. Explain why the same relationship applies, and check the original restrictions, units or data.
Seven-day revision plan
Day 1: identify the definitions. Day 2: reproduce one worked example. Day 3: change the numbers. Day 4: solve an unlabelled problem. Day 5: identify the first mistaken step. Day 6: combine this skill with a related chapter. Day 7: complete an independent retest after a delay.
Frequently asked questions
What should I do first? Identify what is known and what the question asks. How can I check my answer? Substitute into the original expression or data and verify the units. Why might an answer look correct but fail? A denominator restriction, unit conversion or interpretation can be wrong even when arithmetic is neat.
Official syllabus and small-group tutorial context
Consult the 2027 SEC G2 Mathematics K210 syllabus for the precise assessment scope. The unchanged eduKateSG Mathematics tutorial reference describes three-pupil small-group teaching near Sixth Avenue. Confirm current Secondary 3 G2 tutor, fees, venue, class fit and timetable directly.
Related Secondary 3 G2 Mathematics guides
See Direct and Inverse Proportion, Algebraic Expansion and Box Plots and Quartiles.