Combinations worksheet with visual examples for counting possible outfit and food combinations.
Worksheet titled "Combinations" featuring three scenarios: a superhero choosing a mask and cape, a child ordering ice cream with various toppings, and a person selecting a hat and scarf, each with options for combinations.
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Show Answer Key & Explanations
Step-by-step solution for: Combinations Worksheet | Key Stage 2 PDF Number Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Combinations Worksheet | Key Stage 2 PDF Number Worksheets
Let's solve each scenario in Section A of the worksheet step by step, listing all possible combinations and calculating the total number of outcomes.
---
Choices:
- Masks: Green mask, Purple mask → 2 options
- Capes: Red cape, Yellow cape, Blue cape → 3 options
We need to find all possible combinations of one mask + one cape.
#### ✔ Step-by-step combinations:
| Mask | Cape |
|------------|-----------|
| Green mask | Red cape |
| Green mask | Yellow cape |
| Green mask | Blue cape |
| Purple mask | Red cape |
| Purple mask | Yellow cape |
| Purple mask | Blue cape |
✔ Total combinations:
2 masks × 3 capes = 6 combinations
👉 Fill in the blank:
There are 6 possible combinations
---
Choices:
- Ice cream flavors: Strawberry, Chocolate, Mint Choc Chip → 3 options
- Toppings: Nuts, Toffee sauce, Sprinkles → 3 options
Each ice cream has one flavor + one topping.
#### ✔ Step-by-step combinations:
| Flavor | Topping |
|----------------|---------------|
| Strawberry | Nuts |
| Strawberry | Toffee sauce |
| Strawberry | Sprinkles |
| Chocolate | Nuts |
| Chocolate | Toffee sauce |
| Chocolate | Sprinkles |
| Mint Choc Chip | Nuts |
| Mint Choc Chip | Toffee sauce |
| Mint Choc Chip | Sprinkles |
✔ Total combinations:
3 flavors × 3 toppings = 9 combinations
👉 Fill in the blank:
There are 9 possible combinations
---
Choices:
- Hats: Spotty hat, Stripy hat, Bobble hat, Black hat → 4 options
- Scarves: Stripy scarf, Orange scarf → 2 options
Each outfit has one hat + one scarf
#### ✔ Step-by-step combinations:
| Hat | Scarf |
|---------------|--------------|
| Spotty hat | Stripy scarf |
| Spotty hat | Orange scarf |
| Stripy hat | Stripy scarf |
| Stripy hat | Orange scarf |
| Bobble hat | Stripy scarf |
| Bobble hat | Orange scarf |
| Black hat | Stripy scarf |
| Black hat | Orange scarf |
✔ Total combinations:
4 hats × 2 scarves = 8 combinations
👉 Fill in the blank:
There are 8 possible combinations
---
1. Super Kid: 6 combinations
2. Betty’s Ice Cream: 9 combinations
3. Mr Patel: 8 combinations
---
For each scenario, write the combinations in the two-column table (e.g., left column for first item, right for second). Here's how you'd fill them:
---
#### ✔ Table 1: Super Kid
| Mask | Cape |
|--------------|------------|
| Green mask | Red cape |
| Green mask | Yellow cape |
| Green mask | Blue cape |
| Purple mask | Red cape |
| Purple mask | Yellow cape |
| Purple mask | Blue cape |
> There are 6 possible combinations
---
#### ✔ Table 2: Betty’s Ice Cream
| Flavor | Topping |
|----------------|---------------|
| Strawberry | Nuts |
| Strawberry | Toffee sauce |
| Strawberry | Sprinkles |
| Chocolate | Nuts |
| Chocolate | Toffee sauce |
| Chocolate | Sprinkles |
| Mint Choc Chip | Nuts |
| Mint Choc Chip | Toffee sauce |
| Mint Choc Chip | Sprinkles |
> There are 9 possible combinations
---
#### ✔ Table 3: Mr Patel
| Hat | Scarf |
|---------------|--------------|
| Spotty hat | Stripy scarf |
| Spotty hat | Orange scarf |
| Stripy hat | Stripy scarf |
| Stripy hat | Orange scarf |
| Bobble hat | Stripy scarf |
| Bobble hat | Orange scarf |
| Black hat | Stripy scarf |
| Black hat | Orange scarf |
> There are 8 possible combinations
---
This is about counting combinations using the multiplication principle:
> If there are m choices for one item and n choices for another, then there are m × n total combinations.
Let me know if you'd like this turned into a printable answer sheet!
---
🔹 Scenario 1: Super Kid is getting dressed to fight evil
Choices:
- Masks: Green mask, Purple mask → 2 options
- Capes: Red cape, Yellow cape, Blue cape → 3 options
We need to find all possible combinations of one mask + one cape.
#### ✔ Step-by-step combinations:
| Mask | Cape |
|------------|-----------|
| Green mask | Red cape |
| Green mask | Yellow cape |
| Green mask | Blue cape |
| Purple mask | Red cape |
| Purple mask | Yellow cape |
| Purple mask | Blue cape |
✔ Total combinations:
2 masks × 3 capes = 6 combinations
👉 Fill in the blank:
There are 6 possible combinations
---
🔹 Scenario 2: Betty is ordering an ice cream
Choices:
- Ice cream flavors: Strawberry, Chocolate, Mint Choc Chip → 3 options
- Toppings: Nuts, Toffee sauce, Sprinkles → 3 options
Each ice cream has one flavor + one topping.
#### ✔ Step-by-step combinations:
| Flavor | Topping |
|----------------|---------------|
| Strawberry | Nuts |
| Strawberry | Toffee sauce |
| Strawberry | Sprinkles |
| Chocolate | Nuts |
| Chocolate | Toffee sauce |
| Chocolate | Sprinkles |
| Mint Choc Chip | Nuts |
| Mint Choc Chip | Toffee sauce |
| Mint Choc Chip | Sprinkles |
✔ Total combinations:
3 flavors × 3 toppings = 9 combinations
👉 Fill in the blank:
There are 9 possible combinations
---
🔹 Scenario 3: Mr Patel is putting on a hat and scarf
Choices:
- Hats: Spotty hat, Stripy hat, Bobble hat, Black hat → 4 options
- Scarves: Stripy scarf, Orange scarf → 2 options
Each outfit has one hat + one scarf
#### ✔ Step-by-step combinations:
| Hat | Scarf |
|---------------|--------------|
| Spotty hat | Stripy scarf |
| Spotty hat | Orange scarf |
| Stripy hat | Stripy scarf |
| Stripy hat | Orange scarf |
| Bobble hat | Stripy scarf |
| Bobble hat | Orange scarf |
| Black hat | Stripy scarf |
| Black hat | Orange scarf |
✔ Total combinations:
4 hats × 2 scarves = 8 combinations
👉 Fill in the blank:
There are 8 possible combinations
---
✔ Final Answers Summary:
1. Super Kid: 6 combinations
2. Betty’s Ice Cream: 9 combinations
3. Mr Patel: 8 combinations
---
📝 How to fill in the tables:
For each scenario, write the combinations in the two-column table (e.g., left column for first item, right for second). Here's how you'd fill them:
---
#### ✔ Table 1: Super Kid
| Mask | Cape |
|--------------|------------|
| Green mask | Red cape |
| Green mask | Yellow cape |
| Green mask | Blue cape |
| Purple mask | Red cape |
| Purple mask | Yellow cape |
| Purple mask | Blue cape |
> There are 6 possible combinations
---
#### ✔ Table 2: Betty’s Ice Cream
| Flavor | Topping |
|----------------|---------------|
| Strawberry | Nuts |
| Strawberry | Toffee sauce |
| Strawberry | Sprinkles |
| Chocolate | Nuts |
| Chocolate | Toffee sauce |
| Chocolate | Sprinkles |
| Mint Choc Chip | Nuts |
| Mint Choc Chip | Toffee sauce |
| Mint Choc Chip | Sprinkles |
> There are 9 possible combinations
---
#### ✔ Table 3: Mr Patel
| Hat | Scarf |
|---------------|--------------|
| Spotty hat | Stripy scarf |
| Spotty hat | Orange scarf |
| Stripy hat | Stripy scarf |
| Stripy hat | Orange scarf |
| Bobble hat | Stripy scarf |
| Bobble hat | Orange scarf |
| Black hat | Stripy scarf |
| Black hat | Orange scarf |
> There are 8 possible combinations
---
💡 Key Concept:
This is about counting combinations using the multiplication principle:
> If there are m choices for one item and n choices for another, then there are m × n total combinations.
Let me know if you'd like this turned into a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of math combinations worksheet grade 4.