Practice Test 6 - 6th 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 rectangular prism has dimensions $5\text{ in} \times 4\text{ in} \times 3\text{ in}$. A correct net has two $5\times4$ faces, two $5\times3$ faces, and two $4\times3$ faces. Is the surface area $47\text{ in}^2$?
2. The circle graph displays survey results about favorite school subjects from 600 students. What can be inferred about the popularity of STEM subjects (Science, Technology, Engineering, Math) compared to all other subjects?
3. In a school fundraiser, one class is at $-11$ (they still need 11 more items to reach a goal) and another class is at $6$ (they are 6 items above the goal). Which statement correctly compares the numbers $-11$ and $6$ by absolute value and by order?
4. A triangular prism has a triangular base with base $6\text{ m}$ and height $4\text{ m}$ (so each triangular base has area $\tfrac12\cdot6\cdot4$). The prism length is $10\text{ m}$. The three side rectangles have dimensions $6\times10$, $4\times10$, and $5\times10$ (the third side of the triangle is $5\text{ m}$). What is the total surface area?
5. The equation $1.5y - 0.75 = 0.25y + 3.25$ represents the point where two savings accounts have equal balances. After solving, Miguel gets $y = 3.2$. In the context of the problem, if $y$ represents months, what does this solution mean?
6. For her fitness assessment report, the PE teacher needs to state how many student observations she successfully collected. What should she report?
7. Alex claims: "If $a > 0$ and $b < 0$, then $|a| > |b|$ whenever $a > -b$." Is Alex's claim correct?
8. A student writes down the number of pages read each day for one week: 12, 15, 15, 10, 18, 20, 12. What is the number of observations in this data set?
9. A recipe calls for 3 cups of flour to make 18 muffins. Maria wants to make exactly 42 muffins for a school event. She has 8 cups of flour available. How many cups of flour will she have left after making the muffins?
10. The table shown displays the number of minutes students spent on a math assignment. The teacher notices that completion times varied significantly among students. Which analysis best describes the center and variability, and justifies the choice of measures used?
11. A robot starts at position $0$ on a number line. Moving forward is positive and moving backward is negative. Which signed number represents moving 9 steps backward from the start?
12. A factory's production increased by $\frac{1}{5}$ this month compared to last month. If this represents a $20\%$ increase and they produced 360 units this month, what was their production last month, and what decimal represents this month's production as a multiple of last month's?
13. Which two expressions are equivalent to $4(2m + 3n) - 2(m + n)$?
14. On a number line, a diver is $-9$ meters (below sea level) and a bird is $4$ meters (above sea level). Which statement is true about their distances from sea level and their positions?
15. Which value makes this statement true? $3^4-2^3=\,?$
16. In science class, the temperature in a terrarium can be any value from $18^\circ\text{C}$ to $30^\circ\text{C}$. Let $t$ be the temperature in degrees Celsius. Which statement correctly describes what values $t$ can take?
17. A bike rental shop charges a $3 start fee plus $2 for each hour you rent the bike. Which statement correctly identifies the independent and dependent variables?
18. A student sees the expression $3(x+5)$ in a word problem. Which choice correctly classifies $3(x+5)$ at the top level as a sum or a product?
19. Are the expressions $2x+5$ and $2x+3$ equivalent (equal for all values of $x$)?
20. A trapezoid-shaped window has parallel sides $6\text{ in}$ and $10\text{ in}$ and height $4\text{ in}$. A student computes $(6+10)\cdot 4=64\text{ in}^2$. What is the correct area?

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