Practice Test 4 - 5th Grade Math

19 of the 20 questions below are in this test; the other one can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

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1. A baker has 3 cups of flour. Each batch of muffins needs $\tfrac{1}{4}$ cup of flour. Dividing by a unit fraction asks how many of those fractional units fit into the whole. Which claim about $3 \div \tfrac{1}{4}$ is incorrect?
2. The word form "six and forty-seven thousandths" written as a decimal and then compared to $6.047$. Which statement is correct?
3. Four points are graphed on the coordinate plane. Which two points are the same distance from the x-axis?
4. Who actually keeps the $1.80 in sales tax collected from the shirt purchase?
5. A recipe uses the same-sized whole cup as the unit. Maya pours $\tfrac{2}{3}$ cup of milk and then adds $\tfrac{1}{4}$ cup more. What is the total amount of milk she poured?
6. At a book fair, a roll of stickers is 1.5 meters long. Each sticker is 10 centimeters long, and there is no space between stickers. How many full stickers can be cut from the roll?
7. If Emma wants to fix her mistake by removing the extra flour and then adding $\frac{1}{8}$ cup more than the recipe originally called for, how much flour should be in the bowl when she's finished?
8. Refer to the figure. A rectangular prism is built using unit cubes. If 2 more layers identical to the visible layers are added to the top, what will be the total volume?
9. A store has a ribbon length of $900$ centimeters and writes the number sentence $900 \div 10^3$. Powers of 10 change place value positions. Text evidence of digit shift: - 900 has digits 9, 0, 0 in the hundreds, tens, and ones places - Dividing by $10^3$ shifts each digit 3 places to the right How does dividing by $10^3$ change the number, and what is the result?
10. A thermometer shows $9.015$ degrees. Decimals can be written in multiple equivalent forms, and each digit shows place value. Which words name $9.015$ correctly?
11. A teacher wants to collect data about how many minutes students spend on homework each night. Which question would give her the most useful numerical data for creating a line plot?
12. A recipe needs 3 cups of water. Ana only has a measuring cup marked in pints. Which amount should Ana measure to get exactly 3 cups?
13. Elena is calculating how many $\frac{1}{4}$ cup servings she can get from $3\frac{1}{2}$ cups of soup. She computes $3\frac{1}{2} \div \frac{1}{4} = 14$ and concludes she can serve exactly $14$ people. Her sister argues that Elena should express the quotient as $14.0$ to show it's a division result. Who is correct about the most appropriate form?
14. A teacher created this table to show how students travel to school. She wants to display this same data in a different way. Which type of graph would be MOST appropriate for showing this categorical data?
15. A science bottle holds 16 ounces of liquid. A student pours out $\tfrac{7}{8} \times 16$ ounces. She splits 16 ounces into 8 equal parts and takes 7 parts. What does the product represent?
16. A student says, "In $\frac{7}{8} \times 32$, the product must be greater than 32." The factors are $\frac{7}{8}$ and $32$. Which statement correctly evaluates the student's claim without computing the product?
17. A cafeteria makes a block display from two non-overlapping right rectangular prisms. Prism A is $10\text{ cm} \times 3\text{ cm} \times 1\text{ cm}$. Prism B is $10\text{ cm} \times 3\text{ cm} \times 2\text{ cm}$. The boundary between them is clear, so the total volume equals the sum of the parts: $V_{\text{total}}=V_A+V_B$. What is the total volume of the composite figure?
18. Emma measures $\frac{1}{5}$ meter of ribbon. She needs to cut this ribbon into 6 equal pieces for a craft project. After cutting, she wants to know the length of each piece in meters. What is the length of each piece?
19. Look at the number $62{,}718.043$. The digit 4 is in the hundredths place and the digit 3 is in the thousandths place. Which statement about these two digits is correct?
20. A recipe calls for $2\frac{1}{3}$ cups of flour to make $16$ muffins. Lisa calculated that to make $48$ muffins, she needs $7$ cups of flour. Which estimation best checks whether her calculation is reasonable?

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