| Name: ______________________________ | Date: ______________ |
Instructions
- Use JoJo-inspired Stand missions to practise algebra, geometry, probability, and rates.
- Show your working for each calculation.
- Give exact answers when possible and check that your answer makes sense.
Example: A Stand user travels 120 metres in 8 seconds. What is the user's average speed?
Answer: Average speed = distance ÷ time = 120 ÷ 8 = 15 metres per second.
Part 1: Stand Algebra
Complete each equation by finding the value of the variable.
1. A Stand's energy score is given by 3x + 7 = 28. The value of x is __________.
2. A time-manipulation technique follows 5y - 9 = 31. The value of y is __________.
3. A battle rating follows 2a + 4 = 3a - 6. The value of a is __________.
4. A Stand's range is represented by 4(b - 2) = 24. The value of b is __________.
Part 2: Speedwagon Calculations
Choose the correct answer for each mission.
5. A Stand moves 180 metres in 12 seconds. What is its average speed?
| ○ A. 12 m/s | ○ B. 15 m/s |
| ○ C. 18 m/s | ○ D. 21 m/s |
6. A special attack has a base power of 80 and increases by 25%. What is its new power?
| ○ A. 85 | ○ B. 95 |
| ○ C. 100 | ○ D. 105 |
7. A rectangular training arena is 14 metres long and 9 metres wide. What is its area?
| ○ A. 46 m² | ○ B. 92 m² |
| ○ C. 126 m² | ○ D. 252 m² |
8. A battle token is chosen at random from 3 red, 5 blue, and 2 gold tokens. What is the probability of choosing a gold token?
| ○ A. 1/10 | ○ B. 1/5 |
| ○ C. 2/5 | ○ D. 1/2 |
Part 3: Stand Statistics
Complete the table by calculating distance divided by time for each Stand.
| Stand | Distance (m) | Time (s) | Average speed (m/s) |
|---|---|---|---|
| Example Stand | 100 | 5 | 20 |
| Star Platinum | 150 | 6 | |
| Crazy Diamond | 216 | 9 | |
| The World | 280 | 14 | |
| Stone Free | 135 | 15 |
Part 4: Bizarre Geometry
Solve each geometry problem and include the important calculation.
10. A circular Stand arena has radius 7 metres. Using π = 22/7, find its circumference. |
11. A triangular battle zone has a base of 16 metres and a perpendicular height of 9 metres. Find its area. |
12. A rectangular corridor has an area of 96 square metres and a width of 8 metres. Find its length. |
13. A right-angled training course has sides of 9 metres and 12 metres. Find the hypotenuse. |
Part 5: Final Stand Mission (optional challenge)
Read each mission carefully, choose a method, and solve it.
14. A Stand user has 500 energy points. Each ordinary attack uses 35 points, and the user makes 8 ordinary attacks. A final attack restores 20 points. How many energy points remain? Answer: __________ energy points |
15. A group buys 4 training passes at £7.50 each and receives a 15% discount on the total. What is the final cost? Answer: __________ pounds |
16. A time-stopping ability lasts 2.4 seconds each time and can be used 5 times. The user then needs 18 seconds to recover. What is the total time spent, including recovery? Answer: __________ seconds |
17. A Stand's power is modelled by P = 120 - 4d, where d is the distance in metres. At what distance is the power 60? Answer: __________ metres |
Answer Key
| 1. | 7 |
| 2. | 8 |
| 3. | 10 |
| 4. | 8 |
| 5. | B (15 m/s) |
| 6. | C (100) |
| 7. | C (126 m²) |
| 8. | B (1/5) |
| 9a. | Star Platinum · 150 · 6 · 25 |
| 9b. | Crazy Diamond · 216 · 9 · 24 |
| 9c. | The World · 280 · 14 · 20 |
| 9d. | Stone Free · 135 · 15 · 9 |
| 10. | Circumference = 2πr = 2 × 22/7 × 7 = 44 metres. |
| 11. | Area = 1/2 × 16 × 9 = 72 square metres. |
| 12. | Length = area ÷ width = 96 ÷ 8 = 12 metres. |
| 13. | Hypotenuse = √(9² + 12²) = √225 = 15 metres. |
| 14. | 240 energy points |
| 15. | £25.50 pounds |
| 16. | 30 seconds seconds |
| 17. | 15 metres |