Mathematical Word Problems and Concepts

This video tutorial covers unit four, lesson eight, focusing on solving problems using fractions and diagrams. It includes scenarios involving strawberries, raspberries, painting walls, calculating distances, organizing books on a shelf, and ordering mathematical expressions. Each problem is broken down with equations and diagrams to aid understanding.

Mai picked one cup of strawberries, which was enough for three-fourths of a cake. How many cups does she need for the entire cake?

• 1 cup

• 3/4 cup

• 1 and 1/3 cups

• 2 cups

Priya has one and a half cups of raspberries, enough for three-fourths of a cake. How many cups are needed for a whole cake?

• 3 cups

• 1 and 1/2 cups

• 2 cups

• 2 and 1/2 cups

If Tyler painted nine halves square yards with three gallons of paint, how many gallons are needed per square yard?

• 1/2 gallon

• 2/3 gallon

• 3/4 gallon

• 1 gallon

After walking one-fourth mile, Han is one-third of the way to school. What is the total distance to school?

• 1 and 1/4 miles

• 1/2 mile

• 3/4 mile

• 1 mile

What multiplication equation corresponds to the division equation 4/5 divided by 2/3?

• 3/2 times 5/4

• 3/2 times 4/5

• 2/3 times 4/5

• 2/3 times 5/4

How many books, each 1.5 inches wide, can fit on a 36-inch shelf?

• 24 books

• 22 books

• 26 books

• 20 books

Order the expressions from smallest to largest: 56 divided by 8, 56 divided by 8 million, and 56 divided by 8 millionths.

• 56/8, 56/8 millionths, 56/8 million

• 56/8, 56/8 million, 56/8 millionths

• 56/8 million, 56/8, 56/8 millionths

• 56/8 millionths, 56/8, 56/8 million

Explain why 56 divided by 8 million is smaller than 56 divided by 8.

• Because 56 is a smaller dividend

• Because 56 is a larger dividend

• Because 8 million is a smaller divisor than 8

• Because 8 million is a larger divisor than 8

Find a number n such that 56 divided by n is greater than 1 but less than 7.

• n = 7

• n = 8

• n = 12

• n = 56

What is the result of 24 times 1.5?

• 34

• 36

• 38

• 40