Practice calculating percentages with this worksheet featuring six word problems about gaming scores, savings, and distances.
Percentage word problems worksheet with six math questions involving points, money, distance, and time for students.
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Percent Word Problems
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Percent Word Problems
Let's solve each of the percentage word problems step by step.
---
Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?
#### Solution:
1. Captain's score = 120 points.
2. Tyger scores 10% more than Captain.
- Calculate 10% of Captain's score:
\[
10\% \text{ of } 120 = \frac{10}{100} \times 120 = 12
\]
3. Add this to Captain's score to find Tyger's score:
\[
\text{Tyger's score} = 120 + 12 = 132
\]
#### Answer:
\[
\boxed{132}
\]
---
Frazer is saving up for a new laptop. He has saved 60% of the amount so far. If the laptop costs £320, how much more does he need to save?
#### Solution:
1. The total cost of the laptop = £320.
2. Frazer has saved 60% of the total cost.
- Calculate 60% of £320:
\[
60\% \text{ of } 320 = \frac{60}{100} \times 320 = 0.6 \times 320 = 192
\]
3. Amount Frazer still needs to save:
\[
\text{Amount needed} = \text{Total cost} - \text{Amount saved} = 320 - 192 = 128
\]
#### Answer:
\[
\boxed{128}
\]
---
Sally sprints 300 metres in a minute. Quadra runs 20% further than Sally in the same time. How far did Quadra sprint?
#### Solution:
1. Sally's distance = 300 metres.
2. Quadra runs 20% further than Sally.
- Calculate 20% of Sally's distance:
\[
20\% \text{ of } 300 = \frac{20}{100} \times 300 = 0.2 \times 300 = 60
\]
3. Add this to Sally's distance to find Quadra's distance:
\[
\text{Quadra's distance} = 300 + 60 = 360
\]
#### Answer:
\[
\boxed{360}
\]
---
Newton spends 25% of his free time each day reading. If he spends 40 minutes reading, how much free time does he have in hours and minutes?
#### Solution:
1. Let \( T \) be Newton's total free time in minutes.
2. Newton spends 25% of his free time reading, which is 40 minutes.
- Set up the equation:
\[
25\% \text{ of } T = 40
\]
\[
\frac{25}{100} \times T = 40
\]
\[
0.25 \times T = 40
\]
3. Solve for \( T \):
\[
T = \frac{40}{0.25} = 160 \text{ minutes}
\]
4. Convert 160 minutes into hours and minutes:
- 1 hour = 60 minutes
- \( 160 \div 60 = 2 \) hours and \( 40 \) minutes.
#### Answer:
\[
\boxed{2 \text{ hours and } 40 \text{ minutes}}
\]
---
There are some fish in an aquarium. 40% of the fish are angelfish. If there are 12 angelfish in the aquarium, how many fish altogether?
#### Solution:
1. Let \( F \) be the total number of fish in the aquarium.
2. 40% of the fish are angelfish, and there are 12 angelfish.
- Set up the equation:
\[
40\% \text{ of } F = 12
\]
\[
\frac{40}{100} \times F = 12
\]
\[
0.4 \times F = 12
\]
3. Solve for \( F \):
\[
F = \frac{12}{0.4} = 30
\]
#### Answer:
\[
\boxed{30}
\]
---
Sally buys a tin of chocolates. She gives a quarter of the chocolates to Tyger, 10% to Newton, and 15% to Frazer. She keeps the remaining 15 chocolates for herself. How many chocolates were in the tin?
#### Solution:
1. Let \( C \) be the total number of chocolates in the tin.
2. Sally gives:
- A quarter (\( \frac{1}{4} \)) to Tyger.
- 10% to Newton.
- 15% to Frazer.
- Keeps the remaining 15 chocolates for herself.
3. Calculate the percentages given away:
- Quarter to Tyger: \( \frac{1}{4}C = 0.25C \)
- 10% to Newton: \( 0.10C \)
- 15% to Frazer: \( 0.15C \)
4. The remaining chocolates Sally keeps:
\[
C - (0.25C + 0.10C + 0.15C) = 15
\]
5. Simplify the equation:
\[
C - (0.25C + 0.10C + 0.15C) = C - 0.50C = 0.50C
\]
\[
0.50C = 15
\]
6. Solve for \( C \):
\[
C = \frac{15}{0.50} = 30
\]
#### Answer:
\[
\boxed{30}
\]
---
1. \(\boxed{132}\)
2. \(\boxed{128}\)
3. \(\boxed{360}\)
4. \(\boxed{2 \text{ hours and } 40 \text{ minutes}}\)
5. \(\boxed{30}\)
6. \(\boxed{30}\)
---
Problem 1:
Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?
#### Solution:
1. Captain's score = 120 points.
2. Tyger scores 10% more than Captain.
- Calculate 10% of Captain's score:
\[
10\% \text{ of } 120 = \frac{10}{100} \times 120 = 12
\]
3. Add this to Captain's score to find Tyger's score:
\[
\text{Tyger's score} = 120 + 12 = 132
\]
#### Answer:
\[
\boxed{132}
\]
---
Problem 2:
Frazer is saving up for a new laptop. He has saved 60% of the amount so far. If the laptop costs £320, how much more does he need to save?
#### Solution:
1. The total cost of the laptop = £320.
2. Frazer has saved 60% of the total cost.
- Calculate 60% of £320:
\[
60\% \text{ of } 320 = \frac{60}{100} \times 320 = 0.6 \times 320 = 192
\]
3. Amount Frazer still needs to save:
\[
\text{Amount needed} = \text{Total cost} - \text{Amount saved} = 320 - 192 = 128
\]
#### Answer:
\[
\boxed{128}
\]
---
Problem 3:
Sally sprints 300 metres in a minute. Quadra runs 20% further than Sally in the same time. How far did Quadra sprint?
#### Solution:
1. Sally's distance = 300 metres.
2. Quadra runs 20% further than Sally.
- Calculate 20% of Sally's distance:
\[
20\% \text{ of } 300 = \frac{20}{100} \times 300 = 0.2 \times 300 = 60
\]
3. Add this to Sally's distance to find Quadra's distance:
\[
\text{Quadra's distance} = 300 + 60 = 360
\]
#### Answer:
\[
\boxed{360}
\]
---
Problem 4:
Newton spends 25% of his free time each day reading. If he spends 40 minutes reading, how much free time does he have in hours and minutes?
#### Solution:
1. Let \( T \) be Newton's total free time in minutes.
2. Newton spends 25% of his free time reading, which is 40 minutes.
- Set up the equation:
\[
25\% \text{ of } T = 40
\]
\[
\frac{25}{100} \times T = 40
\]
\[
0.25 \times T = 40
\]
3. Solve for \( T \):
\[
T = \frac{40}{0.25} = 160 \text{ minutes}
\]
4. Convert 160 minutes into hours and minutes:
- 1 hour = 60 minutes
- \( 160 \div 60 = 2 \) hours and \( 40 \) minutes.
#### Answer:
\[
\boxed{2 \text{ hours and } 40 \text{ minutes}}
\]
---
Problem 5:
There are some fish in an aquarium. 40% of the fish are angelfish. If there are 12 angelfish in the aquarium, how many fish altogether?
#### Solution:
1. Let \( F \) be the total number of fish in the aquarium.
2. 40% of the fish are angelfish, and there are 12 angelfish.
- Set up the equation:
\[
40\% \text{ of } F = 12
\]
\[
\frac{40}{100} \times F = 12
\]
\[
0.4 \times F = 12
\]
3. Solve for \( F \):
\[
F = \frac{12}{0.4} = 30
\]
#### Answer:
\[
\boxed{30}
\]
---
Problem 6:
Sally buys a tin of chocolates. She gives a quarter of the chocolates to Tyger, 10% to Newton, and 15% to Frazer. She keeps the remaining 15 chocolates for herself. How many chocolates were in the tin?
#### Solution:
1. Let \( C \) be the total number of chocolates in the tin.
2. Sally gives:
- A quarter (\( \frac{1}{4} \)) to Tyger.
- 10% to Newton.
- 15% to Frazer.
- Keeps the remaining 15 chocolates for herself.
3. Calculate the percentages given away:
- Quarter to Tyger: \( \frac{1}{4}C = 0.25C \)
- 10% to Newton: \( 0.10C \)
- 15% to Frazer: \( 0.15C \)
4. The remaining chocolates Sally keeps:
\[
C - (0.25C + 0.10C + 0.15C) = 15
\]
5. Simplify the equation:
\[
C - (0.25C + 0.10C + 0.15C) = C - 0.50C = 0.50C
\]
\[
0.50C = 15
\]
6. Solve for \( C \):
\[
C = \frac{15}{0.50} = 30
\]
#### Answer:
\[
\boxed{30}
\]
---
Final Answers:
1. \(\boxed{132}\)
2. \(\boxed{128}\)
3. \(\boxed{360}\)
4. \(\boxed{2 \text{ hours and } 40 \text{ minutes}}\)
5. \(\boxed{30}\)
6. \(\boxed{30}\)
Parent Tip: Review the logic above to help your child master the concept of percent word problems worksheet with answers.