Venn Diagrams Notation Relay Race In this competitive

Venn Diagrams – Notation – Relay Race In this competitive activity students work in teams to answer questions provided on small pieces of paper. Students should check their answers with the teacher (who can be anywhere in the room with their answer sheet). If students are correct they can collect the next numbered sheet (easily placed in piles face-up on a desk at the front). If students are wrong they can skip the question or be given 1 or more chances.

Printing To print handouts from slides Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

! e c a R y a l e R Venn Diagram Notation

1 2 ξ = {numbers from 1 to 10 inclusive} A = {1, 3, 4, 7, 8} B = {2, 5, 6, 7, 10} ξ = {even numbers from 1 to 20 inclusive} A = {4, 6, 8, 18} B = {2, 8, 10, 12, 16} Complete the Venn diagram with this information. ξ B A What is P(B)? 3 ξ = {2, 3, 5, 7, 8, 9, 11, 14, 15, 17, 18, 19, 20} A = {even numbers less than 15} B = {even numbers over 10} Complete the Venn diagram with this information. What is P(A)? What is P(A’)? 4 ξ = {odd numbers from 1 to 25 inclusive} A = {square numbers} B = {numbers over 20} Complete a Venn diagram with this information. What is P(A ∩ B)?

5 ξ = {even numbers less than 30} A = {4, 6, 10, 12, 14, 16, 18, 24, 26} B = {2, 6, 12, 18, 20, 22, 24} Complete a Venn diagram with this information. 6 What is P(A ∪ B)? 7 What is P(A ∩ B)? 8 28 = 28 people ξ B A 28 ξ = {odd numbers less than 30} A = {prime numbers} B = {7, 9, 13, 15, 21, 23, 25} Complete a Venn diagram with this information. In a class there are 30 students. 12 are males (A) with blonde hair (B). 10 students are females. 18 have blonde hair. Complete a Venn diagram with this information. 19 7 26 What is P(A ∪ B)? What is P(A ∪ B’)? What is P(A ∩ B)’? What is P(A’ ∩ B’)? What is P(A’ ∪ B)? Describe what these notations mean.

ξ = {integers less than 18} A = {even numbers} B = {square numbers} C = {1, 2, 3, 4, 11, 14, 15} Complete a Venn diagram with this information. What is P(C’)? What is P(A ∪ B ∪ C)? What is P(A’ ∩ B’ ∩ C)?

What is P(C’)? ξ = {integers less than 18} A = {even numbers} What is P(A ∪ B ∪ C)? B = {square numbers} C = {1, 2, 3, 4, 11, 14, 15} What is P(A’ ∩ B’ ∩ C)? Complete a Venn diagram with this information. A ξ 5 7 13 17 B 8 6 10 12 16 9 4 1 2 14 C 11 3 15

Answer Sheet

1 ξ = {numbers from 1 to 10 inclusive} A = {1, 3, 4, 7, 8} B = {2, 5, 6, 7, 10} 2 ξ = {even numbers from 1 to 20 inclusive} A = {4, 6, 8, 18} B = {2, 8, 10, 12, 16} Complete the Venn diagram with this information. ξ A 9 1 8 3 4 7 Complete the Venn diagram with this information. ξ B 6 2 5 A 10 18 4 6 What is P(B)? 3 7 9 3 5 B A 8 2 14 18 20 What is P(A)? 12 16 10 8 2 B 14 20 What is P(A’)? ξ = {2, 3, 5, 7, 8, 9, 11, 14, 15, 17, 18, 19, 20} A = {even numbers less than 15} B = {even numbers over 10} Complete the Venn diagram with this information. ξ 11 15 17 19 4 ξ = {odd numbers from 1 to 25 inclusive} A = {square numbers} B = {numbers over 20} Complete the Venn diagram with this information. ξ A 7 5 3 B 1 9 25 23 21 11 What is P(A ∩ B)? 19 17 15 13

5 6 ξ = {even numbers less than 30} A = {4, 6, 10, 12, 14, 16, 18, 24, 26} B = {2, 6, 12, 18, 20, 22, 24} Complete a Venn diagram with this information. ξ A 4 26 6 2 20 12 10 24 14 18 22 16 ξ = {odd numbers less than 30} A = {prime numbers} B = {7, 9, 13, 15, 21, 23, 25} Complete a Venn diagram with this information. ξ B A 9 25 29 3 13 5 23 15 17 19 11 7 21 1 27 8 28 What is P(A ∪ B)? 7 ξ What is P(A ∩ B)? 28 = 28 people B A 28 B 8 In a class there are 30 students. 12 are males (A) with blonde hair (B). 10 students are females. 18 have blonde hair. Complete a Venn diagram with this information. ξ Male (A) 19 4 7 26 What is P(A ∪ B)? What is P(A ∪ B’)? What is P(A ∩ B)’? 8 12 Female and not Blonde What is P(A’ ∩ B’)? 6 Blonde (B) Female or Blonde What is P(A’ ∪ B)? Describe what these notations mean.

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk