Practice Test 11 - 6th Grade Math

18 of the 20 questions below are in this test; the other 2 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 rectangular prism has dimensions $\tfrac{3}{4}\text{ ft} \times 2\text{ ft} \times 1\tfrac{1}{2}\text{ ft}$. What is its volume in cubic feet?
2. A librarian wants to study reading habits of students. She plans to collect three types of data: number of books each student checks out per month, number of pages in each book, and reading level of each student. To get useful variable data for analysis, which should she focus on?
3. A plant grows according to the equation $h = 15 + 2.5d$ where $d$ is days since planting and $h$ is height in centimeters. If a student wants to predict when the plant will reach 35 cm, which approach correctly identifies the variables for solving this problem?
4. Which entry should concern Diego the most, and why?
5. Maria is making trail mix for a camping trip. She needs 2.5 pounds of nuts total. She already has 18 ounces of almonds and 14 ounces of cashews. How many more ounces of nuts does she need?
6. Marcus is comparing debit cards with different overdraft policies. Card A charges $25 per overdraft but covers the transaction. Card B declines overdraft transactions with no fee. If Marcus accidentally tries to spend $50 more than his account balance twice in one month, what is the financial difference between the two cards?
7. A student writes two statements about the integers $-16$ and $12$: 1) $|-16|>|12|$ 2) $-16>12$ Which choice correctly tells whether each statement is true or false?
8. A point is located at $D(2,-3)$. Which quadrant contains point $D$?
9. Roberto walks to school at a constant speed. It takes him $15$ minutes to walk $\frac{3}{4}$ mile. At this rate, how far does he walk in $1$ minute?
10. A school club sold 80 tickets for a game. If 30% of the tickets were sold to students, how many student tickets were sold?
11. A runner travels 9 miles in 1.5 hours at a constant speed. At this speed, how far will the runner travel in 4 hours?
12. A student claims that $3(2x+5)$ is equivalent to $6x+15$. Which expression is the correct result of expanding $3(2x+5)$ using the distributive property?
13. From the set $\{0,1,2,3,4,5\}$, which values make the inequality $2x<10$ true? (Test each value.)
14. Use the circle graph shown to determine which conclusion about the data is most reasonable.
15. A student tests values for the equation $2x=14$ using the set $\{5,6,7,8\}$. Which value(s) from the set make the equation true?
16. Let $x$ be the number of minutes you practiced. Which expression represents the sum of twice $x$ and 7?
17. A parking garage charges different rates on different levels. Level B2 (basement 2) charges $-\$8$ per hour (meaning you pay $8), Level B1 charges $-\$5$ per hour, Ground level is free ($0), Level 2 gives $+\$3$ per hour (a reward), and Level 3 gives $+\$6$ per hour. If Maria parks for $4$ hours total, spending $2$ hours on Level B2 and $2$ hours on Level 2, what is her net cost?
18. A ribbon is cut into $5$ equal pieces. The total ribbon length is $12.5$ meters. Let $x$ be the length of one piece. Write and solve a one-step equation.
19. Marcus is planning to collect data about cars in his neighborhood. He wants the data to have variability so he can analyze differences. Which question should he investigate?
20. In the diagram, two parallel lines are cut by a transversal. If the measure of angle $1$ is $73°$, and you need to find angle $5$, which relationship should you use first?

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