Practice Test 4 - 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. Emma solved $42 + 16 = 38 + p$ and got $p = 20$. To check her answer, she substituted back into the equation. What should she have found?
2. Compare $0.39$ and $0.93$. Which symbol makes this true: $0.39$ $\underline{\hspace{2em}}$ $0.93$?
3. A recipe calls for $\frac{3}{5}$ cup of flour. Sarah has already added $\frac{1}{5}$ cup of flour to her mixing bowl. She wants to know how much more flour she needs to add. Which statement best explains the subtraction $\frac{3}{5} - \frac{1}{5}$?
4. Carlos walked $\frac{5}{12}$ of a trail. Then he walked back $\frac{2}{12}$ of the same trail. What fraction of the trail is Carlos now from the starting point?
5. Angle AOB turns through $\frac{1}{3}$ of a circle, and angle BOC turns through $\frac{1}{6}$ of the same circle. Points A, B, and C all lie on the circle, with rays OA, OB, and OC meeting at center O, and point B lying between A and C. How many degrees is angle AOC?
6. A bakery opens at 6:30 AM. The first batch of muffins takes 35 minutes to bake, the second batch takes 42 minutes, and there's a 15-minute cooling period after all baking is complete. If both batches can bake at the same time, what time are the muffins ready to serve?
7. What is $800 \div 80$?
8. A printer produces 425 pages per hour. A new setting multiplies this rate by 100, but then the printer jams and can only work at 1/10 of the new rate. What is the printer's final rate per hour?
9. Add: $\frac{3}{10} + \frac{42}{100}$. What is the sum?
10. Chen compares $700$ and $70$. Which statement correctly describes the relationship between them?
11. Subtract: $4\frac{7}{8} - 2\frac{3}{8}$. Write the difference as a mixed number.
12. Look at the pie chart representations below. Which statement correctly describes the relationship shown?
13. A train departs at 11:28 AM and is scheduled to arrive at 2:15 PM. However, the train arrives 18 minutes late. How long was the actual travel time?
14. On a number line from 0 to 1, $\frac{1}{2}$ and $\frac{2}{4}$ are at the same point. Which equation shows why they are equivalent?
15. Which situation is an example of a variable expense that a family might have?
16. A bag contains letter tiles: M, A, T, H, M, A, T, H. Sarah picks one tile randomly. What is the probability that she picks a vowel (A, E, I, O, U)?
17. Look at the fraction model below. Maria shaded some equal parts of a rectangle. Which equation correctly shows how to write the shaded fraction as a multiple of a unit fraction?
18. Look at the number line showing a pattern where each arrow represents the rule "subtract 2.5" starting from 12. Based on this pattern, which statement about the numbers is correct?
19. Which fraction is equivalent to $\frac{3}{5}$?
20. An angle is composed of 45 one-degree angles. What is the angle measure?

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