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P6 Percentage Questions (with Worked Solutions)
Percentage increase/decrease, discounts, and GST-style word problems from P6 prelims. Every question is from a real Singapore P6 preliminary exam, marked instantly, with step-by-step solutions.
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Example Percentage questions
A few real percentage questions from P6 prelim papers. The full set — with marking and progress tracking — is inside SG Maths Exam.
Henry Park 2025 · Paper 1 Booklet A · Q12 · 2 marks
At a clearance sale, all items are sold at 40% discount. A customer gets 50% discount when he pays by cash. What is the percentage increase in the discount given when a customer pays by cash?
Worked solution
- \text{Increase in discount} = 50\% - 40\% = 10 \text{ percentage points}
- \text{Percentage increase} = \tfrac{10}{40} \times 100\% = 25\%
Methodist Girls' School (Primary) 2025 · Paper 1 Booklet A · Q13 · 2 marks
A toy car cost \$8 after a discount of 20%. Kenny was given a further discount of \$2 because of the SG60 promotion at the toy store. What is the total percentage discount for the toy car?
Worked solution
- \text{Original price} = \frac{8}{1 - 0.20} = \frac{8}{0.8} = \$10
- \text{Final paid} = \$8 - \$2 = \$6
- \text{Total discount} = \$10 - \$6 = \$4
- \text{Total \% discount} = \frac{4}{10} \times 100\% = 40\%
Ai Tong 2025 · Paper 1 Booklet A · Q12 · 2 marks
Hassan spent 35% of his monthly allowance on food and $\frac{2}{5}$ of the remaining allowance on transport. What percentage of his allowance was left?
Worked solution
- \text{Remaining after food} = 100\% - 35\% = 65\%
- \text{Transport} = \frac{2}{5} \times 65\% = 26\%
- \text{Left} = 65\% - 26\% = 39\%
St Nicholas 2025 · Paper 2 · Q12(a) · 2 marks
A fitness club had 280 members in 2023. 40% of the members were females and the rest were males. In 2024, the number of male members increased by 37.5% and the female members dropped to 84 members. (a) Find the percentage decrease in the number of female members from 2023 to 2024.
Worked solution
- Female members in 2023 $= 40\% \times 280 = 112$. Decrease $= 112 - 84 = 28$. Percentage decrease $= \frac{28}{112} \times 100\% = 25\%$.
St Nicholas 2025 · Paper 2 · Q12(b) · 2 marks
For the fitness club, (b) What was the total number of members in the fitness club in 2024?
Worked solution
- Male members in 2023 $= 280 - 112 = 168$. Increase $= 37.5\% \times 168 = 63$, so males in 2024 $= 168 + 63 = 231$. Total members in 2024 $= 231 + 84 = 315$.
St Nicholas 2025 · Paper 2 · Q14(c) · 2 marks
For the book sale, (c) Suzy saved a total of \$3.70. Find the percentage discount for the second book.
Worked solution
- Discount on the first book $= \$1.25$. Discount on the second book $= 3.70 - 1.25 = \$2.45$. Original price of the second book $= 9.80 + 2.45 = \$12.25$. Percentage discount $= \frac{2.45}{12.25} \times 100\% = 20\%$.
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