Home › Question bank › Percentage

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.

Try the free sample → Browse S$5 papers Browse all questions
44
Percentage questions
10
Top-school papers
Instant
Auto-marking

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.

St Nicholas 2025 · Paper 2 · Q12 · 4 marks
(a)
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 — (a)
  1. Female members in 2023 $= 40\% \times 280 = 112$. Decrease $= 112 - 84 = 28$. Percentage decrease $= \frac{28}{112} \times 100\% = 25\%$.
(b)
For the fitness club, (b) What was the total number of members in the fitness club in 2024?
Worked solution — (b)
  1. 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 · 4 marks
(a)
A shop's brochure says: buy the first book at 10% discount and buy the second book at a smudged percentage discount, with the price of the second book equal to or lower than the first book. (a) Suzy paid \$21.05 for the two books. She paid \$1.45 less for the second book than the first book. How much did she pay for the first book?
Q14a
Worked solution — (a)
  1. If the two books cost the same, each would be $21.05 \div 2$. Adjusting for the \$1.45 difference: first book $= \frac{21.05 - 1.45}{2} + 1.45 = 9.80 + 1.45 = \$11.25$.
(b)
For the book sale, (b) Find the original price of the first book.
Worked solution — (b)
  1. The first book was bought at 10% discount, so \$11.25 is 90% of the original price. $10\% = 11.25 \div 9 = \$1.25$, so original price $= 1.25 \times 10 = \$12.50$.
(c)
For the book sale, (c) Suzy saved a total of \$3.70. Find the percentage discount for the second book.
Worked solution — (c)
  1. 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 $= \frac{2.45}{12.25} \times 100\% = 20\%$.
Tao Nan 2025 · Paper 2 · Q11 · 3 marks
(a)
The line graph shows the volume of water the Tan family used from January to June. What was the percentage increase in the water used from April to May?
Q11a
Worked solution — (a)
  1. $50 - 40 = 10$
  2. $\frac{10}{40} \times 100\% = 25\%$.
(b)
The table shows the charges for water usage. How much did the Tan family pay for their water bill in May?
Q11b
Worked solution — (b)
  1. First 40 m^3 = $40 \times \$3.50 = \$140$
  2. next 10 m^3 = $10 \times \$4.50 = \$45$
  3. total = $\$185$.
St Nicholas 2025 · Paper 2 · Q9 · 3 marks
(a)
An electrical company charges \$0.25 per unit for the first 180 units and \$0.35 per unit for any usage above 180 units (before GST). (a) In January, the Wang family used 260 units of electricity. How much did the Wang family pay for their usage after including a 9% GST?
Q9a
Worked solution — (a)
  1. Charge $= 180 \times \$0.25 + (260 - 180) \times \$0.35 = \$45 + \$28 = \$73$. With 9% GST: $\$73 \times 1.09 = \$79.57$.
(b)
Using the same electricity rates, (b) In February, the charges of electricity for the Wang family were \$60.05 before GST. How many units of electricity did the Wang family use in February?
Worked solution — (b)
  1. First 180 units cost $180 \times \$0.25 = \$45$. Remaining charge $= \$60.05 - \$45 = \$15.05$. Units above 180 $= 15.05 \div 0.35 = 43$. Total units $= 180 + 43 = 223$.
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?
  • 1. 10%
  • 2. 20%
  • 3. 25%
  • 4. 50%
Worked solution
  1. \(\text{Increase in discount} = 50\% - 40\% = 10 \text{ percentage points}\)
  2. \(\text{Percentage increase} = \tfrac{10}{40} \times 100\% = 25\%\)
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?
  • 1. 20%
  • 2. 25%
  • 3. 40%
  • 4. 60%
Worked solution
  1. \(\text{Original price} = \frac{8}{1 - 0.20} = \frac{8}{0.8} = \$10\)
  2. \(\text{Final paid} = \$8 - \$2 = \$6\)
  3. \(\text{Total discount} = \$10 - \$6 = \$4\)
  4. \(\text{Total \% discount} = \frac{4}{10} \times 100\% = 40\%\)

Practise Percentage the smart way

Drill only the questions your child needs, marked on the spot, with worked solutions. Try a free sample first — no signup needed, then pick a full paper for S$5 when you are ready. One-time payment, no subscription.

Start the free sample Browse S$5 papers

Other P6 maths topics

Fractions & DecimalsAngles & GeometryWhole NumbersVolumeArea & PerimeterAlgebraRatioData AnalysisMoney

Or browse by school on the P6 prelim papers index.