Mathematical Problem Solving Concepts

This video covers a series of math problems for a 5th-grade math review. It includes solving problems related to dot plots, estimation using percentages, dividing rope into sections, calculating rain rates, simple interest, triangle similarity, probability with number cubes, box plot analysis, budget analysis, and matching equations to problems. Each problem is explained step-by-step, highlighting key concepts and methods used to find the solutions.

How many more students went to bed before 9:30 p.m. compared to those who went to bed at 9:30 p.m. or later?

• 9

• 7

• 5

• 11

If Carrie missed 99.6% of the problems on a test with 125 questions, what is the best estimate of the number of problems she missed?

• 20

• 15

• 12.5

• 10

Selma has a 6-foot length of rope and needs to cut it into 3/4-foot sections. How many pieces will she have?

• 6

• 8

• 12

• 9

What is the rate of rainfall if a rain gauge shows 6 cm after 2 hours and 9 cm after 3 hours?

• 1 cm/hour

• 1.5 cm/hour

• 3 cm/hour

• 4.5 cm/hour

Mr. Warz opened a savings account with $560 and earned 1% simple interest over 3 years. What is the total amount in the account?

• $560

• $600

• $576.80

• $580

Which statement must be true for similar triangles QRS and WXY?

• Line segment YX is 6 inches long

• The measure of angle S plus angle R equals angle Y

• The measure of angle S equals angle Y

• Line segment SR is twice as long as YX

What is the probability that a green cube will land on an even number and a white cube will land on a number greater than two?

• 1/2

• 2/3

• 1/3

• 1/6

Which statement is not an inference that can be made from the box plots of student ages?

• The oldest student is 22 years old

• 50% of students in Tuesday-Thursday class are between 21 and 23 years old

• The youngest student is 19 years old

• The interquartile range for Monday-Wednesday class is twice that of Tuesday-Thursday

Which statement is not supported by Maria's monthly budget?

• She spends 14% on her cell phone and other expenses

• More than 1/4 of her income is spent on utilities, cable, and groceries

• She saves 15% of her income

• More than half of her income is spent on rent

Which problem is best represented by the equation 19 + 3x = 40?

• Lindsay earned $3 per hour cleaning houses

• Gail paid $19 for jeans and $3 for socks

• Juan earned $19 babysitting and $3 per hour raking leaves

• Ricardo spent $19 and bought three boxes of golf balls