Practice Test 7 - 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 school collected $240$ canned goods. This was $1.5$ times their goal. What was their original goal?
2. Marcus has $16.00. He buys 3 items that cost $2.25, $4.80, and $3.95 respectively. If the sales tax is $8\%$ of the total cost of the items, how much money does Marcus have left?
3. Marcus solved $\frac{5}{8}t = \frac{15}{16}$ and got $t = \frac{3}{2}$. To check his work, he should verify that:
4. Maria is making trail mix. She uses $\frac{3}{4}$ cup of nuts, $1\frac{1}{3}$ cups of dried fruit, and $\frac{5}{6}$ cup of chocolate chips. If she wants to package the trail mix into bags that each hold $\frac{7}{8}$ cup, how many complete bags can she make?
5. A teacher writes $4(x+6)$ on the board. At the top level, is this expression a sum or a product?
6. Refer to the figure, which shows four shapes labeled A, B, C, and D. Which shape has exactly one line of symmetry?
7. Point W is reflected across the x-axis to create point W'. Using the coordinate plane shown, what are the coordinates of W' and what is the distance between W and W'?
8. The expression $(-5) + 8 - (-3)$ equals which of the following?
9. Students conduct an experiment rolling a fair die 60 times, expecting each number (1-6) to appear about 10 times based on the theoretical probability $\frac{1}{6}$. Their results: 1 appears 8 times, 2 appears 12 times, 3 appears 9 times, 4 appears 11 times, 5 appears 7 times, 6 appears 13 times. What conclusion should they draw?
10. Look at the triangle shown. If the ratio of the three angles is 2:3:4, what is the measure of the middle-sized angle?
11. If $|a| = |b|$ and $a ≠ b$, what must be true about $a$ and $b$?
12. Two banks offer student checking accounts. Bank X has no monthly fee and no minimum balance but charges $0.75 per debit transaction after the first 20 transactions. Bank Y charges $3 monthly with unlimited debit transactions. At what number of monthly debit transactions would both accounts cost exactly the same?
13. A store marks up items by $\frac{2}{5}$ of their cost. If an item costs the store $25, what percent markup does this represent, and what is the selling price?
14. A teacher summarizes the number of minutes students spent reading last night using these bins: 0–9: 1 student 10–19: 4 students 20–29: 6 students 30–39: 3 students Which histogram is correct?
15. A baker uses $\frac{2}{3}$ cup of flour for each batch of cookies. If she has used $66\frac{2}{3}\%$ of a $6$-cup bag of flour, how many complete batches of cookies has she made?
16. A science club counted 18 boys and 24 girls at a meeting. What is the ratio of boys to girls in simplest form?
17. Maria has some stickers in her collection. After giving away 15 stickers to her friends, she has 28 stickers left. Which real-world problem could be represented by the equation $x - 15 = 28$?
18. A runner goes $15.6$ kilometers in $1.2$ hours. Using the standard division algorithm (make the divisor a whole number by moving the decimal in both numbers), what is $15.6\div 1.2$?
19. Solve the one-step equation $x+0.4=3.1$ and interpret what $x$ represents as the starting amount before adding $0.4$.
20. A student has $24 to spend on identical water bottles that cost $3 each. Let $b$ be the number of bottles the student can buy. Which equation could be used to find $b$?

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