Practice Test 3 - 6th Grade Math

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

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1. Angle P and angle Q are supplementary. The measure of angle P is $15°$ less than $3$ times the measure of angle Q. What is the measure of angle Q?
2. A recipe calls for $0.625$ cups of sugar. Jamie wants to use a measuring cup marked in fractions. Which fractional amount should she use?
3. Point H is in Quadrant II at coordinates $(-a, b)$ where $a > 0$ and $b > 0$. Point I is in Quadrant IV at coordinates $(c, -d)$ where $c > 0$ and $d > 0$. If point I is the reflection of point H across the origin, what must be true about the values $a$, $b$, $c$, and $d$?
4. A recipe uses a ratio of $2$ cups of flour for every $5$ cups of milk. Complete the equivalent ratio table. What is the missing value $?$ in the last row? Flour (cups): $2,\ 4,\ 6,\ ?$ Milk (cups): $5,\ 10,\ 15,\ 20$
5. Which of the following is a statistical question?
6. The ratio of red marbles to blue marbles in a jar is 5:8. If there are 65 marbles total in the jar, how many more blue marbles than red marbles are there?
7. A recipe for trail mix calls for nuts to make up $\frac{2}{5}$ of the total mixture. If you're making 2.5 pounds of trail mix, and nuts cost $8 per pound, how much will you spend on nuts, and what percentage of the mixture will be nuts?
8. A student measured the heights (in centimeters) of 7 plants: 18, 19, 19, 20, 20, 21, 22. Which choice correctly reports the mean, MAD (mean absolute deviation), and a description of the overall pattern and striking deviations?
9. A student wrote these questions for a class survey. Which questions are statistical questions (they expect answers to vary)? 1) "How old are students in my school?" 2) "How old am I?" 3) "How many hours do 6th graders sleep on a school night?" 4) "What is $5+3$?"
10. Which pair of expressions will always have a sum of zero, regardless of the value of the variable $n$?
11. Calculate the absolute value: $|{-7}|$.​
12. The temperature at midnight was $-6°F$. By noon, it had risen $18°F$, and by evening it had dropped $9°F$. If the temperature then dropped another $8°F$ overnight, what was the temperature the next morning?
13. A ribbon is $y$ centimeters long. It is cut into 4 equal pieces. Which expression gives the length of one piece?
14. From the set $\{3,4,5,6\}$, which values make the inequality $x\ge 5$ true? (Test each value.)
15. Find the greatest common factor of 54 and 72 by using prime factorization. Which choice correctly gives the prime factorizations and the GCF?​​
16. Maria is preparing fruit punch for a school party. She needs 3.5 gallons of punch but her recipe is written in quarts. If she doubles the recipe and then adds an extra 2 quarts, how many quarts of punch will she make?
17. A smoothie recipe uses a ratio of $3$ cups of yogurt to $4$ cups of fruit. Which table shows equivalent ratios for yogurt:fruit for 1–5 batches?
18. A student says, "Because $|-6|>|2|$, it must be true that $-6>2$." Which choice best describes what is correct?​​
19. A school club buys 8 identical notebooks for $14.40. If each notebook costs the same amount, how much would 10 notebooks cost?
20. A student's lunch account shows a balance of $-\$12$ (they owe money). Another student has $5 (money available). Which statement best interprets the inequality $-12<5$ in this context?

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