Practice Test 5 - 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 game score change is shown on a horizontal number line where each tick mark is 1 point. Which value is farther from $0$ on the number line?​​
2. A rectangular garden has a length of 15 feet and width of 8 feet. If a landscaper wants to buy mulch to cover the garden with a 3-inch deep layer, how many cubic feet of mulch are needed?
3. A game uses two standard dice. Players win if they roll a sum of 7 or a sum of 11. What is the probability of winning on any single roll? Give your answer in simplest form.
4. A student is finding $\text{LCM}(9,12)$. Which answer is the least common multiple of 9 and 12?
5. A science club records a value using the expression $10^2 \div 5^2$. What is the value?
6. A timer shows minutes relative to now: $-10$ means 10 minutes ago, $0$ means now, and $5$ means 5 minutes from now. Put these times in order from earliest to latest.
7. Marcus is saving money for a gaming console. He starts with $45 and saves $12 each week. After some number of weeks, he spends $30 on a game controller. The expression $45 + 12w - 30$ represents how much money Marcus has after $w$ weeks. What is the value of this expression when $w = 7$?
8. A triangular pennant is a right triangle with base $6\text{ cm}$ and height $4\text{ cm}$. What is its area? (Use $A=\tfrac{1}{2}bh$.)
9. Maya's lunch account balance is $-\$8$ (she owes money). What is $|{-8}|$, and what does it represent?
10. Compare the two questions: A) "What is the weather today in our town?" B) "What is the weather each day this week in our town?" Which statement is correct?
11. The ages (in years) of 6 kids at an after-school club are: 10, 11, 12, 20, 21, 22. Which statement best describes the shape of this distribution?
12. A student writes the total cost of buying $x$ notebooks and 3 pens as $4(x+3)$. Use the distributive property to expand $4(x+3)$ into an equivalent expression.
13. A researcher is studying statistical thinking in students. She gives them four questions and asks them to identify which ones are statistical. The students must understand that statistical questions can be about individuals within a group, not just about groups as a whole. Which question tests this deeper understanding?
14. A class is making bracelets. Each bracelet uses $12.5$ cm of string, and they make $3.2$ bracelets' worth of string into one long piece for a project. What is the total length of string needed? Compute $12.5 \times 3.2$ using the standard algorithm.
15. Students collected data on the number of hours of sleep they got each night for two weeks (14 observations per student). The class combined all data into one large dataset with 350 total observations. The histogram shows most students sleep 7-9 hours, but the distribution has a long tail extending toward very few hours of sleep. Why might the large sample size actually make it harder to identify what's typical for individual students?
16. A basketball team tracked points scored by one player in 7 games: 12, 14, 14, 15, 16, 16, 18. What is the center (typical value) using the median?
17. The number of text messages a student received each day for 7 days was: 10, 11, 12, 12, 13, 14, 15. Find the mean and the MAD (mean absolute deviation from the mean). Then describe the overall pattern and whether there are any striking deviations.
18. Marcus writes the inequality $-2.5 > y$ to represent the temperature in his freezer. Based on the number line shown, which statement correctly interprets this inequality?
19. A diver is $25$ meters below sea level. If sea level is represented by $0$ meters, which signed number represents the diver's elevation?
20. A paint mixture uses 5 cups of blue paint for every 2 cups of white paint. What does the unit rate $\frac{5}{2}$ mean in this situation?

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