Instructions: This worksheet has 3 levels. Answer all questions.
Level 1 covers basic conversions. Level 2 covers intermediate calculations. Level 3 covers word problems.
Write your answers in the spaces provided. Total: 30 questions.
Key Concepts Covered
- Converting decimals to percentages
- Converting fractions to percentages
- Finding percentages of quantities
- Expressing one quantity as a percentage of another
- Percentage word problems with multiple steps
Level 1
Basic Percentage
[Foundational · 10 questions]Question 1
Express 0.7 as a percentage.
Question 2
Express 0.35 as a percentage.
Question 3
Express ½ as a percentage.
Question 4
Express ¾ as a percentage.
Question 5
Express ⅖ as a percentage.
Question 6
Express 3/25 as a percentage.
Question 7
Express 16 cm as a percentage of 200 cm.
Question 8
Express 5 g as a percentage of 2 kg.
Question 9
What percentage of 80 is 24?
Question 10
What percentage of 500 is 75?
Level 2
Intermediate Percentage
[Multi-step calculations · 10 questions]Question 11
In a class, ⅕ of the pupils are girls. What percentage of the class are boys?
Question 12
⅖ of the pens in a box are blue. The remaining pens are made up of an equal number of red pens and green pens. What percentage of the pens are green?
Question 13
24 out of 40 students like chicken burger while the rest like fish burger. Find the percentage of students who like fish burger.
Question 14
⅕ of the beads used to string a necklace are white. The remaining beads are pink and blue. There is an equal number of pink and blue beads. What percentage of the beads is pink?
Question 15
Mrs Raju baked 200 pies at first. 40% of them were blueberry pies and the rest were chocolate pies. She baked an additional 100 blueberry pies. What percentage of the pies were blueberry pies in the end?
Question 16
Alynna had 60 red stickers and 40 green stickers. She gave away 30% of her red stickers and 55% of her green stickers. What percentage of her stickers left was green?
Question 17
There were 1284 children at a school hall. 963 of them were boys. What percentage of the children were girls?
Question 18
In a group of 80 children, 24 were boys. What percentage of the children were girls?
Question 19
Mrs. Wong had 2 kg of flour. She used 800 g to make pancakes. What percentage of flour was left?
Question 20
The ratio of the shaded area to the area of a rectangle is 2 : 5. What percentage of the figure is unshaded?
Level 3
Word Problems
[Application · 10 questions]Question 21
Mr Jones gave 30% of his salary to his parents. He spent $350 on food and 20% of the remaining money on transport. He saved the rest of his salary, which was $1120. What percentage of his salary did he spend on food?
Question 22
Alan received an allowance of $150. He saved $60 of his allowance and spent the rest. What percentage of his allowance did he spend?
Question 23
Gabriel spent 40% of his money on a school bag. He spent ⅖ of the remainder on some stationery. What percentage of his money was left?
Question 24
Mrs Wesley bought 60 tarts for a party. 24 were fruit tarts. The rest were durian tarts and egg tarts. There were as many durian tarts as egg tarts. What percentage of the tarts were egg tarts?
Question 25
Elvis spent $400 on food and ⅓ of the remaining salary on transport. He then had ½ of his salary left. What percentage of his monthly salary was spent on food?
Question 26
A shop sold 120 books on Monday, 150 books on Tuesday, and 130 books on Wednesday. What percentage of the total number of books was sold on Tuesday?
Question 27
The table below shows the survey results of the favourite fruits for some pupils. What is the percentage of pupils who chose the two most popular fruits?
Apple: 15 | Banana: 20 | Orange: 10 | Mango: 5
Apple: 15 | Banana: 20 | Orange: 10 | Mango: 5
Question 28
A farmer had some goats. He moved 45 goats to another farm and sold 15 goats. 60% of his original number of goats was left. What percentage of the goats were moved out of the farm?
Question 29
Bernard had some balloons. He gave ⅖ of them to his friends and ¼ of the remainder to his sister. What percentage of his balloons was given away in total?
Question 30
Sarah saved $240 in January. In February, she saved 25% more than in January. In March, she saved 10% less than in February. How much did she save in March?
Answer Key
Level 1 — Basic Percentage
Q1: 70%
Q2: 35%
Q3: 50%
Q4: 75%
Q5: 40%
Q6: 12%
Q7: 16 ÷ 200 = 0.08 = 8%
Q8: 2 kg = 2000 g. 5 ÷ 2000 = 0.0025 = 0.25%
Q9: 24 ÷ 80 = 0.3 = 30%
Q10: 75 ÷ 500 = 0.15 = 15%
Level 2 — Intermediate Percentage
Q11: 1 − ⅕ = ⅘ = 80%
Q12: Remaining = 1 − ⅖ = ⅗. Each colour = ⅗ ÷ 2 = 3/10 = 30%
Q13: Fish burger = 40 − 24 = 16. 16 ÷ 40 = 0.4 = 40%
Q14: Remaining = 1 − ⅕ = ⅘. Pink = ⅘ ÷ 2 = ⅖ = 40%
Q15: Blueberry at first = 40% × 200 = 80. After adding = 80 + 100 = 180. Total = 300. 180 ÷ 300 = 60%
Q16: Red left = 60 − (30% × 60) = 42. Green left = 40 − (55% × 40) = 18. Total left = 60. Green % = 18 ÷ 60 = 30%
Q17: Girls = 1284 − 963 = 321. 321 ÷ 1284 = 0.25 = 25%
Q18: Girls = 80 − 24 = 56. 56 ÷ 80 = 0.7 = 70%
Q19: 2 kg = 2000 g. Left = 2000 − 800 = 1200 g. 1200 ÷ 2000 = 0.6 = 60%
Q20: Shaded = 2/5 = 40%. Unshaded = 100% − 40% = 60%
Level 3 — Word Problems
Q21: After giving 30% to parents, 70% remains. Let remaining = R. Transport = 20% of (R − 350). Savings = 80% of (R − 350) = $1120. So R − 350 = $1400. R = $1750. Salary = 1750 ÷ 0.7 = $2500. Food % = 350 ÷ 2500 = 14%
Q22: Spent = $150 − $60 = $90. 90 ÷ 150 = 0.6 = 60%
Q23: After bag: 60% left. Stationery = ⅖ × 60% = 24%. Left = 60% − 24% = 36%
Q24: Durian + egg = 60 − 24 = 36. Egg = 36 ÷ 2 = 18. 18 ÷ 60 = 0.3 = 30%
Q25: Let salary = S. Transport = ⅓(S − 400). Left = ⅔(S − 400) = ½S. So S − 400 = ¾S. ¼S = 400. S = $1600. Food % = 400 ÷ 1600 = 25%
Q26: Total = 120 + 150 + 130 = 400. Tuesday % = 150 ÷ 400 = 37.5%
Q27: Total = 15 + 20 + 10 + 5 = 50. Top 2 = Banana + Apple = 35. 35 ÷ 50 = 70%
Q28: 60% left means 40% were moved out or sold. 45 + 15 = 60 = 40% of original. Original = 150. Moved out % = 45 ÷ 150 = 30%
Q29: Gave to friends = 40%. Remaining = 60%. Gave to sister = ¼ × 60% = 15%. Total given away = 40% + 15% = 55%
Q30: February = $240 + (25% × $240) = $300. March = $300 − (10% × $300) = $270