Practice Test 11 - 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. Sarah is explaining to her friend how she solved $247 \times 8$. She says: "I broke 247 into parts: $200 + 40 + 7$. Then I multiplied each part by 8 and got $1600 + 320 + 56$. When I added these together, I got 1,976." Which mathematical property is Sarah primarily using to communicate her solution strategy?
2. The diagram shows dots arranged in equal groups. Each group represents the unit fraction $\frac{1}{9}$. Based on the arrangement shown, which equation correctly describes the total amount represented by all the shaded dots?
3. Yuki has 6 comic books. Carlos has 8 times as many comic books as Yuki. How many comic books does Carlos have?
4. If you randomly pick one day from April to examine the weather data, what is the probability of selecting a day that was sunny but not rainy?
5. What is $1,839 \times 4$?
6. During a basketball game, Sarah made $\frac{4}{10}$ of her free throw attempts and $0.3$ of her field goal attempts. What is the difference between her free throw success rate and field goal success rate?
7. A pizza is cut into $12$ equal slices. Maya ate $\frac{5}{12}$ of the pizza. Then she ate $2$ more slices. Finally, she gave away $3$ slices to her brother. How much pizza does Maya have left to eat?
8. On the same number line from 0 to 1, which fraction is farther to the right (greater): $\frac{7}{10}$ or $\frac{2}{3}$?
9. Sofia practiced piano for 3 hr. Express 3 hr in minutes.
10. Lisa is explaining her solution to $432 \div 6$ using an array model. She says: "I made 6 rows and kept adding dots until I used all 432 dots. Each row has 72 dots, so $432 \div 6 = 72$." Her partner suggests she could also think of it as "6 groups with 72 in each group." What do both explanations communicate about division?
11. What is $4,096 \times 8$?​
12. A rectangular aquarium is 24 inches long, 16 inches wide, and 12 inches tall. If the aquarium is filled to 3 inches from the top, what volume of water is in the aquarium?
13. One angle measures 70° and another angle measures 95°. If these two angles are placed adjacent to each other, sharing a common ray, what is the measure of the combined angle?
14. Which expression equals 84? $A: 12 \times 7$ $B: 96 \div 8 \times 7$ $C: 11 \times 8 + 4$
15. Which fraction is equivalent to $\frac{2}{5}$?
16. What is $3,276 \div 9$?
17. Write $40,507$ in expanded form.
18. David counts $72$ cars in a parking lot. He imagines if there were $100$ times as many cars, but then $350$ cars drove away. How many cars would be left in his imagination?
19. Both banks and credit unions offer savings accounts, checking accounts, and loans to their customers. A student says, "Credit unions are different from banks because credit unions do not lend money — they only keep money safe." What is wrong with the student's statement?
20. In the number $58,347$, Carlos multiplied the value of the $8$ by a certain number and got $80,000$. Then he divided the value of the $3$ by that same number. What was his result?

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