Instructions
- Read the tactical briefing at the start of each section to understand the mission.
- Use a pencil and a ruler where necessary. You may use a calculator for the complex point calculations.
- Work through the sections in order, as they increase in difficulty.
- Complete the tables by following the example provided in the first row.
- If you finish early, try the Tactical Genius Challenge at the end.
Mission Briefing: The Battle for Sector 4
You are the Commander of a specialized strike force. To win the battle, you must use logic, probability, and precise calculations to manage your resources and predict the outcomes of your dice rolls.
Section 1: Army Requisition (Budgeting and Arithmetic)
Before the battle begins, you must ensure your army does not exceed the 2,000 point limit. Use the table below to calculate the total cost of your units.
| Unit Type | Points per Model | Number of Models | Calculation | Total Unit Cost |
|---|---|---|---|---|
| Space Marines | 18 | 10 | 18 x 10 | 180 |
| Intercessors | 22 | 5 | ||
| Scout Squad | 15 | 8 | ||
| Dreadnought | 145 | 1 | ||
| Terminator | 35 | 5 | ||
| Captain | 95 | 1 |
Total Army Cost: ____
Remaining Budget: (2,000 - Total Cost) = ____
Section 2: Movement and Range (Measurement and Ratios)
In Warhammer, movement is usually measured in inches ("). However, your tactical map uses a scale where 1 inch = 5 meters in the real world. Calculate the distances for your units.
| Unit Name | Move Distance (Inches) | Real-World Scale (Meters) |
|---|---|---|
| Tactical Marine | 6" | 30 meters |
| Jump Pack Unit | 12" | |
| Rhino Transport | 10" | |
| Scout Biker | 14" | |
| Heavy Tank | 5" |
Section 3: The Odds of Battle (Probability and Fractions)
Most actions in the game are decided by a six-sided die (D6). To succeed in a "To Hit" roll, you often need to roll a specific number or higher. Express the probability of success as a fraction and a percentage.
| Target Roll | Successful Outcomes | Probability (Fraction) | Probability (Percentage) |
|---|---|---|---|
| 2+ (Roll 2,3,4,5,6) | 5 out of 6 | 5/6 | 83.3% |
| 3+ | |||
| 4+ | |||
| 5+ | |||
| 6 only |
Section 4: Damage Statistics (Data Analysis)
You have fired your Bolt Rifles at a group of Orks. You rolled 20 dice. The results are listed below: 1, 4, 3, 6, 2, 5, 4, 4, 3, 1, 6, 5, 4, 2, 3, 4, 6, 1, 4, 2
-
Organize the data: Create a frequency table for the rolls.
- 1s: ___
- 2s: ___
- 3s: ___
- 4s: ___
- 5s: ___
- 6s: ___
-
Find the Mode (The most common roll): ____
-
Find the Range (Highest roll minus lowest roll): ____
-
Calculate the Mean (Average) roll: ____
Section 5: Tactical Genius Challenge (Problem Solving)
A squad of 5 Terminators is attacking a Chaos Lord.
- Each Terminator has 3 attacks.
- They need a 3+ to hit.
- They need a 4+ to wound.
Step A: How many total attacks does the squad make?
Step B: Statistically, how many of those attacks will hit? (Multiply total attacks by the 3+ probability fraction).
Step C: Of the attacks that hit, how many will successfully wound? (Multiply hits by the 4+ probability fraction).
Answer Key
Section 1: Army Requisition
- Intercessors: 110
- Scout Squad: 120
- Dreadnought: 145
- Terminator: 175
- Captain: 95
- Total Army Cost: 825
- Remaining Budget: 1,175
Section 2: Movement
- Jump Pack: 60m
- Rhino: 50m
- Scout Biker: 70m
- Heavy Tank: 25m
Section 3: Probability
- 3+: 4/6 (66.7%)
- 4+: 3/6 (50%)
- 5+: 2/6 (33.3%)
- 6 only: 1/6 (16.7%)
Section 4: Statistics
- Frequency: 1s(3), 2s(3), 3s(3), 4s(6), 5s(2), 6s(3)
- Mode: 4
- Range: 5 (6 - 1)
- Mean: 3.5 (Total sum 70 divided by 20)
Section 5: Tactical Genius
- Step A: 15 attacks
- Step B: 10 hits (15 * 4/6)
- Step C: 5 wounds (10 * 3/6)