Practice Test 1 - 6th Grade Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. A swimming pool holds 12,000 gallons of water. If the pool is being filled at a rate of 25 gallons per minute, how many hours will it take to fill an empty pool?
2. A rectangular prism has a base area of $12\tfrac{1}{2}\text{ cm}^2$ and a height of $\tfrac{4}{5}\text{ cm}$. What is the volume of the prism in cubic centimeters? (Use $V=bh$.)
3. Three students each conduct the same probability experiment: drawing cards from a standard deck to test the theoretical probability of drawing a heart ($\frac{1}{4} = 0.25$). Based on the graph showing their results, which statement best describes the relationship between experimental and theoretical probability?
4. A rectangular prism has dimensions $1\tfrac{1}{4}\text{ m} \times 2\text{ m} \times 3\text{ m}$. What is the volume in cubic meters? (Use $V=lwh$.)
5. On a number line, point $a$ is at $-1$ and point $b$ is at $4$. Which inequality correctly describes their positions?
6. A cube-shaped block has edge length $\tfrac{1}{2}\text{ ft}$. What is the volume of this cube in cubic feet? (Use $V=lwh$.)
7. The circle graph shown displays how students rate the difficulty of different school subjects. Based on this data, what can be concluded about student perceptions?
8. A swimming pool is being filled with water at a rate of 2.75 gallons per minute. After 18 minutes, David calculates that 49.5 gallons have been added. He estimates using $3 \times 20 = 60$ gallons. Based on his estimation, what should David conclude?
9. Sandra calculated that $5\frac{1}{4} - 2\frac{5}{6} = 2\frac{5}{12}$. To check reasonableness, she estimates $5 - 3 = 2$. Since $2\frac{5}{12} \approx 2.4$, which is close to 2, she thinks her answer is correct. What's wrong with her reasoning?
10. A classroom number line shows 0 in the center. Point $P$ is at $-3$. Which statement correctly describes $-3$ and its opposite?
11. Examine the ratio table showing the relationship between time spent studying and practice problems completed. If this pattern continues, which row contains an error in the equivalent ratios?
12. In the diagram, rhombus $JKLM$ has four congruent sides but no right angles. How many lines of symmetry does the rhombus have?
13. A track coach times runners using a stopwatch that displays seconds. If a runner completes a 1500-meter race in 4 minutes and 23 seconds, what is their average speed in kilometers per hour?
14. A teacher wants to study: "How many hours of sleep do 6th graders get on a school night?" Which choice correctly describes the attribute under investigation, how it is measured, and the units?
15. A library lets you check out a maximum of 6 books at a time. Let $b$ be the number of books you check out. Which inequality represents this limit?
16. A game uses the points rule $6 \times 2^2 - 10$. How many points is that?
17. Calculate $67.08+9.45$. Be sure to align decimal points before adding.
18. A scuba diver's elevation relative to sea level is shown on a vertical number line (up is positive, down is negative). Which value should be placed 2.5 units below $0$?​​
19. A small pencil holder is a rectangular prism with dimensions $1\tfrac{1}{2}\text{ in} \times 2\text{ in} \times 3\text{ in}$. What is its volume in cubic inches? (Use $V=lwh$.)
20. Based on the coordinate plane, if point $T$ is reflected to create a point in Quadrant I, which type of reflection was used?

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