Practice Test 2 - 4th 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. Look at the equation: $\frac{9}{14} = \frac{a}{14} + \frac{b}{14} + \frac{c}{14}$, where $a$, $b$, and $c$ are three whole numbers that are all different from each other. Which set of values for $a$, $b$, and $c$ makes this equation true?
2. A bakery makes cookies in batches. Each batch has 11 dozen cookies. If they make 7 batches and sell 756 cookies, how many cookies are left?
3. Anna's dance class is supposed to last 1 hour and 20 minutes. Today it started 12 minutes late and ended 8 minutes early. How long was today's class?
4. A store sells fabric by the meter. Jake needs $\frac{25}{100}$ meters of red fabric and $0.3$ meters of blue fabric. How many meters of fabric does Jake need in total?
5. Look at the rectangular array of circles below. If each circle represents $\frac{1}{10}$, which expression correctly shows the total shaded amount as a multiple of the unit fraction?
6. To solve $126 + 38 = 119 + w$, Emma first calculated $126 - 119 = 7$. How should she use this information to find $w$?
7. A surveyor measures a large angle at a construction site. The angle measures $137°$ and is composed of four smaller, non-overlapping angles. Three of these angles measure $28°$, $35°$, and $41°$. What is the measure of the fourth angle?
8. On the number line, start at $\frac{3}{10}$ and jump forward $\frac{4}{10}$ more. What fraction do you land on?
9. A school assembly begins at 9:15 AM. The principal speaks for 12 minutes, then there's a 5-minute break, followed by a 28-minute presentation, and finally a 7-minute closing. What time does the assembly end?
10. Which statement about a square's line symmetry is true?
11. Alex is explaining equivalent fractions using number lines. He says: "$\frac{1}{2}$ and $\frac{4}{8}$ are at the same point on the number line, so they're equivalent. But $\frac{2}{4}$ is at a different point, so it's not equivalent to the others." What should his teacher help him understand about his reasoning?
12. The equation $35 = 5 \times 7$ can be interpreted in two ways. Which pair of statements both describe it?
13. A movie theater shows a film that is 2 hours and 18 minutes long. If the movie starts at 7:35 PM and there are 12 minutes of previews before the actual movie begins, what time will the movie end?
14. A classroom has a jar with 10 crayons: 4 are broken and 6 are whole. The teacher will randomly pick one crayon to use for a demonstration. What is the probability that the chosen crayon will be both whole and broken at the same time?
15. Using the fraction model shown, which equation correctly represents the relationship between the shaded area and unit fractions?
16. A factory makes $2,305$ widgets each hour for $7$ hours. How many widgets are made in all?
17. Carlos is making party bags. He has 95 pieces of candy. He puts 7 candies in each bag. How many complete bags can he make, and how many candies will be left over?
18. Yuki pours $\tfrac{1}{6}$ gallon of water into each plant pot. She fills 8 pots. How many gallons of water does she use in all?
19. Emma writes the number 64 on her paper. She performs these steps in order: multiply by 100, then multiply by 10, then divide by 1,000. What number does she end up with?
20. A number when multiplied by 1,000 gives 52,000. If that same number is multiplied by 100 and then multiplied by 10, what is the result?

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