Solving Math Word Problems with Venn Diagrams

This video tutorial from Sipnayan.com continues the series on Venn diagrams, focusing on a problem involving 100 students surveyed about their participation in Mathematics, English, and Biology. The tutorial explains how to handle overlaps in Venn diagrams, calculate exclusive groups, and answer key questions about the data. It concludes with a summary and resources for further learning.

How many students responded to the survey?

• 50

• 100

• 150

• 200

Tags

CCSS.6.SP.B.5

Which subject had the highest number of students responding?

• Biology

• All subjects

• English

• Mathematics

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

How many students responded to all three subjects?

• 11

• 5

• 12

• 8

Tags

CCSS.6.SP.B.5

How many students responded to both Mathematics and Biology?

• 5

• 6

• 11

• 8

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

How many students responded to both English and Biology?

• 3

• 5

• 8

• 12

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

CCSS.7.SP.B.4

How many students are taking only Biology?

• 11

• 14

• 29

• 15

How many students are taking only Mathematics?

• 18

• 32

• 50

• 88

How many students are taking only English?

• 20

• 15

• 35

• 50

How many students are not taking any of the three subjects?

• 88

• 12

• 15

• 20

How many students take Math and English but not Biology?

• 7

• 12

• 20

• 5

Tags

CCSS.HSS.CP.A.1