Practice Test 10 - 4th Grade Math

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

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1. In the number 2,222, the digit 2 in the tens place represents what value compared to the digit 2 in the ones place?
2. A store had 120 apples. It sold 45 apples in the morning and 38 apples in the afternoon. The remaining apples are divided equally into 3 boxes, with any extra apples left over. How many apples are left over?
3. What is the remainder when $63$ is divided by $8$?
4. A warehouse stores 316 boxes. Due to increased demand, they multiply their storage by 1,000. Later, they ship out 100 times their original amount. How many boxes remain in the warehouse?
5. Tommy draws an angle that measures $156°$. He then draws a ray inside this angle that creates two smaller angles. One of the smaller angles measures $89°$. If Tommy wants the other smaller angle to measure $75°$, by how many degrees is he off from his target?
6. Sofia practiced piano for 3 hours. How many minutes is that?
7. Refer to the number line. Point A represents $\frac{3}{4}$. If the number line were divided into segments that are half the size, what equivalent fraction would represent the same point A?
8. Lisa multiplies a number by 8 and gets 96. If she divides that same number by 4, what is the result?
9. Lisa's probability experiment involves drawing from a box where the chance of success is $\frac{3}{8}$. She wants to model this with a spinner, but she can only make spinners with 10 equal sections. Which spinner design would be closest to her target probability?
10. What does the extra $20 that Mr. Chen must pay represent?
11. By the 6th term, how much greater is Pattern B's term than Pattern A's term?
12. Sofia read 32 pages, which is 4 times as many pages as Jamal read. How many pages did Jamal read?
13. Each serving is the unit fraction $\tfrac{1}{6}$ of a cup. Jamal uses $\tfrac{8}{6}$ of a cup. Complete the equation: $\tfrac{8}{6}=\underline{\hspace{2em}}\times\left(\tfrac{1}{6}\right)$.
14. If $156 - 73 = 142 - s$, and you notice that 156 is 14 more than 142, what value of $s$ balances the equation?
15. The population of a town is 245 people. A prediction says it will multiply by 1,000 over the next century, but then a disaster reduces it to 1/10 of that amount. What would the final predicted population be?
16. Look at the number line. If each jump represents $\frac{1}{5}$, which fraction is located at point P?
17. At the school carnival, Alex ate $\frac{2}{3}$ of a chocolate bar and $\frac{5}{9}$ of a candy apple. The chocolate bar and candy apple were the same size originally. Which symbol makes this comparison statement true? $\frac{2}{3}$ $\underline{\hspace{2em}}$ $\frac{5}{9}$
18. The diagram shows triangle ABC being reflected over line m to create triangle A'B'C'. If point B is 4 units away from line m, what can you conclude about point B'?
19. A race is 3 km long. How many meters is 3 km?
20. Which fraction is equivalent to $\frac{3}{5}$?

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