📊 Part 1: Venn Diagram Sorting

Students who like Maths: Alex, Ben, Chloe, Dan, Emma, Fiona, Grace, Harry

Students who like Science: Ben, Chloe, Emma, Grace, Ian, Jake, Kelly, Liam, Maya

All students: Alex, Ben, Chloe, Dan, Emma, Fiona, Grace, Harry, Ian, Jake, Kelly, Liam, Maya, Nina, Oscar, Penny, Quinn, Ruby, Sam, Tess

a) How many students like both Maths and Science? ____

b) How many students like only Maths? ____

c) How many students like only Science? ____

d) How many students like neither subject? ____

📋 Part 2: Creating Two-Way Tables

Running shoes: 15 pairs sold to males, 22 pairs sold to females

Basketball shoes: 28 pairs sold to males, 18 pairs sold to females

Casual shoes: 12 pairs sold to males, 25 pairs sold to females

Complete the two-way table below:

a) Total number of shoes sold: ____

b) Total shoes sold to males: ____

c) Total running shoes sold: ____

d) What percentage of all shoes sold were basketball shoes? Show your working:

🔍 Part 3: Interpreting Data

Note: Draw or imagine this table with rows for "Has Dog/No Dog" and columns for "Has Cat/No Cat" with the following data:

Has both dog and cat: 8 households

Has dog only: 15 households

Has cat only: 12 households

Has neither: 25 households

a) How many households were surveyed in total? ____

b) How many households have at least one pet? ____

c) What is the probability that a randomly selected household has a dog? Show as a fraction and decimal:

d) Given that a household has a cat, what is the probability they also have a dog? Explain your reasoning:

🧮 Part 4: Word Problems

• 75 students played the ring toss

• 68 students played the duck pond game

• 45 students played both games

a) Draw a Venn diagram to represent this information:

b) How many students played exactly one game?

c) How many students played neither game?

Given information:

• 24 regular chocolate muffins sold

• 18 large chocolate muffins sold

• 15 regular blueberry muffins sold

• 12 large blueberry muffins sold

• 20 regular banana muffins sold

• 16 large banana muffins sold

a) What percentage of all muffins sold were large? ____

b) What percentage of chocolate muffins were regular size? ____

c) If the bakery makes a $3.50 profit on each large muffin and $2.80 profit on each regular muffin, what was their total profit? Show your working:

💭 Part 5: Reflection and Extension