Practice Test 3 - 4th Grade Math

18 of the 20 questions below are in this test; the other 2 can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

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1. Carlos puts $639$ marbles into bags of $5$. How many full bags can he make, and how many marbles are left over?
2. Which statement correctly describes a one-degree angle?
3. A mystery number between $40$ and $50$ can be written as the product of exactly two prime numbers, and the two primes may be the same number used twice. Which numbers could be the mystery number?
4. In a probability model, the chance of success is $\frac{5}{12}$. Kevin needs to represent this using only objects he can hold: either a standard number cube rolled twice, or a bag of marbles. Which option below correctly models this probability?
5. Which numbers are factors of 40? Check 5, 6, 8, and 10.
6. Elena measures a triangle and finds that two of its angles are 70° and 40°. She wants to classify this triangle by its angles. What type of triangle does Elena have?
7. Which number is greater: 271,608 or 271,680?
8. The number line shows intervals marked in thirds. Point R is located at a position that represents a multiple of $\frac{1}{3}$. What is the location of point R, and how should it be written as a multiple of a unit fraction?
9. Using the rectangular array shown, which equation correctly represents the total number of dots?
10. A science experiment requires $\frac{6}{10}$ liter of water and $\frac{28}{100}$ liter of vinegar. If the total mixture must be less than $\frac{9}{10}$ liter, does this recipe meet the requirement?
11. Lisa writes a number. When she multiplies it by $1,000$, she gets $83,000$. When she multiplies the same number by $10$, what will be the digit in the tens place?
12. A factory makes $2,305$ widgets each hour for $7$ hours. How many widgets are made in all?
13. Write $0.90$ as a fraction with denominator 100.
14. Maya wrote the decimal $0.34$ in a place value chart. Which fraction is equal to $0.34$?
15. Jake is solving $29 + 18 = 32 + m$. He thinks: "$32$ is $3$ more than $29$, so $m$ should be $3$ less than $18$." What mistake did Jake make, and what is the correct value of $m$?
16. Maria saves the same amount of money each month. After 9 months, she has $171. She wants to buy a bicycle that costs $228. How many more months does she need to save to have enough money for the bicycle?
17. Look at the bar graph showing ticket sales for a school play over four days. If the drama teacher wants to display this data as a line graph to show the daily trend, what would be the most accurate title?
18. A triangle has one angle that measures 120°. What must be true about the other two angles in this triangle?
19. Each small poster uses $\tfrac{3}{10}$ liter of paint. Carlos makes 9 posters. How many liters of paint does he use altogether?
20. Carlos has $\frac{8}{12}$ of a chocolate bar. He wants to trade with his friend who has unit fractions of $\frac{1}{6}$. If Carlos converts his fraction to an equivalent form using $\frac{1}{6}$ as the unit fraction, what should he get?

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