Practice Test 5 - 5th Grade Math

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

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1. A recipe for fruit punch calls for $\frac{2}{3}$ cup of orange juice for every $\frac{1}{4}$ cup of cranberry juice. If Sarah has $\frac{5}{6}$ cup of orange juice, how much cranberry juice should she use to maintain the same ratio?
2. A recipe uses $0.630$ liters of milk. Decimals can be written in multiple equivalent forms, and each digit represents a fractional value based on its place. Which statement about the decimal is correct?
3. A recipe uses $1.250$ liters of water. What is $1.250$ rounded to the nearest whole number?
4. Using the data in the table shown, if you made a line graph with months on the x-axis and temperature on the y-axis, which month would show the steepest upward slope when connected to the following month?
5. A recipe uses $\tfrac{1}{2}$ cup of sugar, but you want to split that amount equally into 2 small bowls for a class activity. Think of a cup model: first show $\tfrac{1}{2}$ cup, then partition that half into 2 equal smaller parts. Dividing a fraction by a whole number creates smaller equal parts. What is the result of $\tfrac{1}{2} \div 2$?
6. Marcus is solving $120 \div 10^2$ and gets 1.2. He uses this to find $120 \div 10^4$ by recognizing that $10^4 = 10^2 \times 10^2$. What should his final answer be?
7. A gardener has 6 square meters of soil to cover with mulch. Each bag covers $\tfrac{1}{3}$ square meter. Dividing by a unit fraction asks how many $\tfrac{1}{3}$-square-meter groups fit into 6 square meters. Which value shows how many bags are needed to cover all 6 square meters?
8. A teacher asks students to find a common denominator for $\frac{5}{6}$ and $\frac{7}{8}$ without using the LCM method. Which of these alternative common denominators would work?
9. Maria has $\frac{1}{3}$ of a pizza that she wants to share equally among 4 friends. She calculates that each friend will get $\frac{1}{12}$ of the original pizza. To check her work, she multiplies $\frac{1}{12} \times 4$ and gets $\frac{4}{12}$. What should Maria do next to verify her answer is correct?
10. A right rectangular prism is made of unit cubes. One layer shows 9 cubes along the length and 2 cubes along the width. The prism has 3 equal layers stacked, and the cubes fill it completely with no gaps or overlaps. Packing with unit cubes gives the same volume as multiplying the length, width, and height. What is the volume of the prism?
11. A rectangular garden planter is being filled with soil. The planter measures 15 inches long, 8 inches wide, and 6 inches deep. If soil costs $2 per cubic foot and there are 1,728 cubic inches in a cubic foot, what is the cost to fill the planter completely?
12. Which method would let Carlos pay his friend back quickly without needing cash in hand or writing anything on paper?
13. Jamie has four cards showing: $6.127$, $6.17$, $6.172$, and $6.2$. She arranges them from least to greatest. Which card should be in the third position?
14. Look at the protractor below. If the angle shown measures $n°$, and you draw another angle that measures $(180 - n)°$, what can you conclude about these two angles?
15. The number of minutes spent on homework each day: 25, 30, 35, 25, 40, 25, 45. If the student wants the range to be exactly 15 minutes, what should replace the highest value?
16. On a weekend bike ride, Luis rode 1,200 meters on Saturday and 0.8 kilometers on Sunday. Which statement is correct?
17. Marcus writes the expanded form $2 + 0.3 + 0.008$ and wants to compare it to $2.38$. Before comparing, he notices that his expanded form is missing a term. What should Marcus conclude about his comparison?
18. The manager calculated a total of $860$ tickets sold. Using the passage above, which estimation best helps her verify this total?
19. A composite figure is made of two non-overlapping right rectangular prisms. Prism A is $6\text{ m} \times 2\text{ m} \times 2\text{ m}$. Prism B is $6\text{ m} \times 1\text{ m} \times 2\text{ m}$. The prisms touch but do not overlap, so total volume = volume of A + volume of B. What is the total volume?
20. Refer to the figure. A craft project requires cutting the parallelogram along the dashed lines to form triangles. What is the area of triangle ABC?

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