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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Averages

Grade: 8-a Lesson: S3-L2

Explanation: Hello students, as we have discussed a few problems on this topic. Now, its time for you to solve the problems on your own and fill the answers in the quiz sheet and get your queries addressed by the tutor in the class.

Quiz: in Class

Problem Id	Question	Description	Options
1	Solve the problem.	In a bus, there are 16 passengers. Three passengers left the bus, and six new passengers joined. If the average age of the passengers decreased by five years and the total age decreased by 2. What is the new average age of the passengers in the bus? (in years)	A) 23 B) 33 C) 26 D) 44
2	Solve the problem.	The average of 10 numbers is 15. If one of them exceeds the average of the remaining by 8. Find the number.	A) 15 B) 8 C) 3 D) 5
3	Solve the problem.	The average of eighteen positive numbers is 27. If the average of the first six numbers is 18 and that of the last six numbers is 45. What is the average of the remaining six numbers?	A) 21 B) 27 C) 10 D) 18
4	Solve the problem.	There was one mess for 40 boarders in a certain hostel. If the number of boarders were increased by 20, the expenses of the mess would increase by $60 per month, while the average expenditure per head would diminish by $2. Find the original monthly expenses.	A) $510 B) $360 C) $450 D) $390
5	Solve the problem.	The average of three students ages is 64 years. The ratio between the first student’s age and the second student’s age is 27:10. If the third is 4 more than the second. What is the sum of the first and second students' ages?	A) 123 B) 142 C) 148 D) 132

Problem Id

Question

Description

Options

Solve the problem.

In a bus, there are 16 passengers. Three passengers left the bus, and six new passengers joined. If the average age of the passengers decreased by five years and the total age decreased by 2. What is the new average age of the passengers in the bus? (in years)

A) 23

B) 33

C) 26

D) 44

Solve the problem.

The average of 10 numbers is 15. If one of them exceeds the average of the remaining by 8. Find the number.

A) 15

B) 8

C) 3

D) 5

Solve the problem.

The average of eighteen positive numbers is 27. If the average of the first six numbers is 18 and that of the last six numbers is 45. What is the average of the remaining six numbers?

A) 21

B) 27

C) 10

D) 18

Solve the problem.

There was one mess for 40 boarders in a certain hostel. If the number of boarders were increased by 20, the expenses of the mess would increase by $60 per month, while the average expenditure per head would diminish by $2. Find the original monthly expenses.

A) $510

B) $360

C) $450

D) $390

Solve the problem.

The average of three students ages is 64 years. The ratio between the first student’s age and the second student’s age is 27:10. If the third is 4 more than the second. What is the sum of the first and second students' ages?

A) 123

B) 142

C) 148

D) 132