Clare is using little wooden cubes with edge lengths of \(\frac12\) inch to build a larger cube that has edge lengths of 4 inches. How many little cubes does she need? Explain your reasoning.

The triangle has an area of \(7\frac{7}{8}\) cm² and a base of \(5\frac14\) cm.

What is the length of \(h\)? Explain your reasoning.

A triangle with a horizontal base labeled five and one fourth centimeters. A vertex is above and to the left of the horizontal side and a horizontal line is extended to the left from the base. A vertical dashed line is drawn from the top rvertex to the extended base and a right angle symbol is indicated. The vertical dashed line is labeled h.

1. Which expression can be used to find how many cubes with edge lengths of \(\frac13\) unit fit in a prism that is 5 units by 5 units by 8 units? Explain or show your reasoning.

   • \((5 \boldcdot \frac 13) \boldcdot (5 \boldcdot \frac 13) \boldcdot (8 \boldcdot \frac 13)\)

   • \(5 \boldcdot 5 \boldcdot 8\)

   • \((5 \boldcdot 3) \boldcdot (5 \boldcdot 3) \boldcdot (8 \boldcdot 3)\)

   • \((5 \boldcdot 5 \boldcdot 8) \boldcdot (\frac 13)\)

2. Mai says that we can also find the answer by multiplying the edge lengths of the prism and then multiplying the result by 27. Do you agree with her? Explain your reasoning.

A builder is building a fence with \(6\frac14\)-inch-wide wooden boards, arranged side-by-side with no gaps or overlaps. How many boards are needed to build a fence that is 150 inches long? Show your reasoning.

Find the value of each expression. Show your reasoning and check your answer.

1. \(2\frac17 \div \frac27\)
2. \(\frac {17}{20} \div \frac14\)

A bucket contains \(11\frac23\) gallons of water and is \(\frac56\) full. How many gallons of water would be in a full bucket? 

1. Write a multiplication and a division equation to represent the situation.
2. Find the answer and show your reasoning.

There are 80 kids in a gym. 75% are wearing socks. How many are not wearing socks? If you get stuck, consider using a tape diagram.

1. The regular fare for a train ride between two cities is \$75 per person. During a promotion, train riders can save \$37.50 each. What percentage of the regular fare is the discount?

2. Noah wants to save \$60. If he has saved \$45 so far, what percentage of his goal has he saved?