5th End of Year Assessment

Select all expressions that represent the volume of this rectangular prism in cubic units.

• 5 × 4 × 3

• (3 × 4) + 4

• 5 × (4 + 3)

• 3 × 20

• 4 × 15

The image shows the measurements of a toy container. What is the volume of the container? Explain your reasoning.

Select all expressions whose value is less than $ \frac{1}{2} $.

• $\frac{1}{3} + \frac{1}{4} $

• $ \frac{5}{11} - \frac{2}{15} $

• $ \frac{10}{20} - \frac{1}{12} $

• $ 1 + \frac{7}{12} $

• $ 1 - \frac{7}{12} $

Select all expressions whose value is greater than 1.

• $ 10 \div 12 $

• $ 115 \div 73 $

• $ \frac{9}{8} \times \frac{7}{6} $

• $ \frac{3}{2} \times \left( \frac{4}{10} + \frac{3}{5} \right) $

• $ \frac{7}{8} \times \frac{9}{13} $

A cooler contains 5 gallons of water. One bottle of water is $ \frac{1}{8} $ of a gallon. How many bottles of water does the cooler contain? Explain your reasoning.

A cooler contains 5 gallons of water. The running team drinks $ 2 \frac{3}{4} $ coolers of water during practice. How many gallons is that? Explain your reasoning.

Jada’s math book is $ \frac{5}{16} $ of an inch thick. Her science book is $ \frac{1}{4} $ of an inch thick. Which book is thicker? Explain your reasoning.

Jada’s math book is $ \frac{5}{16} $ of an inch thick. Her science book is $ \frac{1}{4} $ of an inch thick. How much thicker is the thicker book?

Jada’s math book is $ \frac{5}{16} $ of an inch thick. Her science book is $ \frac{1}{4} $ of an inch thick. How thick are the math and science books together?

Select all expressions that have the value one million.

• 10^3

• 10^6

• 10^7

• 1,000,000