Practice Test 5 - 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. Using the frequency chart shown, Ana wants to create a bag of colored cubes where drawing different colors represents each pet type with the same probabilities. If she uses 50 cubes total, how many should be yellow to represent cats?
2. Rachel starts her paper route at 6:45 AM. She delivers papers for 1 hour and 20 minutes, then stops at a store for 15 minutes to buy a snack. If she continues delivering for another 35 minutes after the store, what time does she finish her route?
3. Roberto says "36 is 6 times as many as 6." Elena says "This is wrong because 36 divided by 6 equals 6, so 36 is 6 times as many as 6." What is the error in Elena\'s reasoning?
4. Based on the circle model below, Emma says that $\frac{7}{12} = 7 \times \frac{1}{12}$. Jake says that $\frac{7}{12} = 12 \times \frac{1}{7}$. Who is correct and why?
5. Which bank service would best help Diego reach his goal?
6. Which fraction is equivalent to $\frac{3}{4}$?
7. A movie starts at 2:45 PM and ends at 5:20 PM. During the movie, there was a 15-minute intermission. How long was the actual movie time without the intermission?
8. Two numbers are written on cards. Card 1 shows 'twenty-eight thousand, four hundred six' and Card 2 shows $20,000 + 8,000 + 300 + 40$. A third number, $28,460$, is written on the board. How do the three numbers compare when arranged from greatest to least?
9. A bag of apples weighs 2 kg and a bag of oranges weighs 1,500 g. What is the total weight in grams?
10. Carlos has $65/100$ of a dollar. What decimal shows this amount of money?
11. Ana has $48$ marbles. She gives away some marbles and has $43$ left. If she multiplied her remaining marbles by $100$, how many marbles would she have?
12. Carlos walks $9$ laps. Each lap is $\tfrac{2}{5}$ mile. What is the total distance Carlos walks?
13. Based on the quadrilateral shown, which has four right angles and two pairs of equal opposite sides, but the adjacent sides are not equal, what is the relationship between rectangles and squares?
14. Carmen has 9 stickers: 4 stars, 3 hearts, and 2 circles. She gives away 2 star stickers and then randomly picks one of her remaining stickers. What is the probability that she picks a shape that was in the majority before she gave any stickers away?
15. Decompose $\frac{4}{5}$ into a sum of fractions with the same denominator. Show two different ways. Choose the correct pair of equations.
16. Which equation correctly represents the comparison "42 is 6 times as many as 7"?
17. Jamal built an angle by combining 35 one-degree angles. What is the angle's measure?
18. Compare: $64,918$ $\underline{\hspace{2em}}$ $64,891$. Which symbol ($>$, $<$, $=$) makes this true?
19. Add $\frac{9}{10} + \frac{4}{100}$. First, convert: $\frac{9}{10} = \frac{90}{100}$. Then add: $\frac{90}{100} + \frac{4}{100} = \frac{90+4}{100}$. What is the sum?
20. Maya has two pieces of ribbon. The first piece is $0.38$ meters long. The second piece is $0.4$ meters long. Which piece of ribbon is longer?

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