Mathematical Problem Solving Techniques

The video tutorial covers five math problems, each focusing on different mathematical concepts. Problem 76 involves approximating the ratio of 1 plus the square root of 5 to 2. Problem 77 deals with division by fractions and understanding reciprocals. Problem 78 requires calculating the original number from a percentage increase. Problem 79 explores the intersection of sets involving odd integers and their squares. Finally, Problem 80 involves calculating the retail price of an item after applying a discount. Each problem is solved step-by-step, demonstrating various mathematical techniques and concepts.

What is the approximate value of the square root of 5 used in the problem?

• 2.3

• 2.2

• 2.0

• 2.1

Which ratio is closest to 1.6:1?

• 2:1

• 5:4

• 6:5

• 8:5

What is the result of 7 divided by 1/5 plus 5 divided by 1/7?

• 35

• 42

• 70

• 77

If the enrollment increased by 15% to reach 45 million, what was the original enrollment?

• 39 million

• 40 million

• 42 million

• 41 million

What is the formula used to calculate the original enrollment given a percentage increase?

• 0.85x = 45

• 1.15x = 45

• x - 0.15x = 45

• x + 0.15x = 45

How many elements are in the intersection of R and S?

• 4

• 3

• 2

• 5

Which of the following is a positive odd integer less than 50 and also a square of another positive odd integer?

• 25

• 16

• 49

• 36

What is the retail price of the video recorder if the wholesale cost is $200 and the markup is 20%?

• $280

• $220

• $240

• $260

How much does an employee pay for the video recorder after a 10% discount on the retail price?

• $224

• $220

• $216

• $200

What is the percentage of the retail price that the employee pays after the discount?

• 80%

• 85%

• 90%

• 95%