Practice Test 9 - 5th 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. A jeweler has three pieces of gold wire with the following diameters: Wire X is $0.052$ inches, Wire Y is $0.5$ inches, and Wire Z is $0.048$ inches. She needs to arrange them in order from thickest to thinnest for her display. Which arrangement is correct?
2. A toy block is a right rectangular prism with length 9 units, width 2 units, and height 5 units. The base is the 9-by-2 face, and the height is 5 units. The volume formulas describe the same total number of 1-unit cubes that would pack the prism. Which claim about the formula is incorrect?
3. How does the grouping affect the meaning of these two expressions? Expression 1: $4 \times (10 - 3)$ Expression 2: $(4 \times 10) - 3$ Choose the statement that correctly describes the difference in what they represent (without solving).
4. Two expressions use the same numbers but different grouping. Which statement correctly compares $20 - (8 + 4)$ and $(20 - 8) + 4$?
5. A school store has 14 stickers in a pack, and a student buys $\frac{6}{7}$ of a pack. This is modeled by $\frac{6}{7} \times 14$. The factors are $\frac{6}{7}$ and $14$. Without calculating, which statement best describes the product compared to 14?
6. Students recorded their heights in different formats: 60 inches, 5 feet, 4'11", 58", 5 ft 2 in, 61 inches. To analyze this data properly, what standardization is needed?
7. Two students solve this problem: "A bucket holds $4$ gallons when full. It is filled to $\tfrac{3}{4}$ full. How many gallons of water are in the bucket?" The fractions refer to the same-sized gallon. Since fraction multiplication means taking a part of a quantity, which explanation matches the situation for the product $\tfrac{3}{4}\times 4$?
8. A painter mixed $\frac{3}{10}$ gallon of red paint with $\frac{1}{4}$ gallon of blue paint. He wants to compare these amounts using the LCM method. Which fraction represents the greater amount?
9. A classroom display is built from two non-overlapping right rectangular prisms, separated by a clear edge. Prism A is 4 m by 3 m by 2 m. Prism B is 1 m by 3 m by 2 m. The total volume equals the sum of the parts: $V_{total}=V_A+V_B$. What is the total volume of the composite figure?​
10. Look at the 3D figure and the four nets shown. How many of these nets can be folded to create the triangular prism?
11. Which term correctly names the second deduction listed on Mr. Alvarez's pay stub — the one that goes specifically toward Social Security and Medicare?
12. A library is putting $1{,}152$ books on shelves. Each shelf holds $32$ books. A student estimates $1{,}152\div 32$ by noting $32\times 30=960$ and $32\times 6=192$, and $960+192=1{,}152$. What is the quotient, and how does multiplication show the result makes sense?
13. A rectangular garden measures 15 feet long and 8 feet wide. Maria wants to put a fence around the entire perimeter and then cover the garden area with mulch. Fencing costs $4 per foot, and mulch costs $2 per square foot. What is the most important first step in solving this problem?
14. A number has a $7$ in the tenths place with a value of $0.7$. If you wanted to place another $7$ in this number so that its value would be exactly $\frac{1}{100}$ of the original $7$'s value, where would you place it?
15. Pattern recognition: $7.2 \times 10^1 = 72$, $7.2 \times 10^2 = 720$, $7.2 \times 10^3 = 7,200$. Based on this pattern, which expression equals 0.072?
16. A rectangle is $\tfrac{3}{4}$ inch by $\tfrac{2}{4}$ inch. You tile it with unit fraction squares that are $\tfrac{1}{4}$ inch by $\tfrac{1}{4}$ inch, so each tile has area $\tfrac{1}{16}$ square inch. The tiles fill the rectangle exactly. What is the area of the rectangle? (Multiplying side lengths should match the number of tiles times $\tfrac{1}{16}$.)
17. Based on the coordinate plane shown, which two rules were most likely used to generate the plotted ordered pairs?
18. Study the partial net shown. If this net is completed to form a square pyramid, how many more triangular faces need to be added?
19. Point D is graphed on the coordinate plane. How many units from the y-axis is point D?
20. A storage box is made by joining two non-overlapping right rectangular prisms. Prism A is $6\text{ in} \times 4\text{ in} \times 3\text{ in}$. Prism B is $6\text{ in} \times 2\text{ in} \times 3\text{ in}$. The prisms touch along a face, so there is no overlap. The total volume equals the sum of the volumes of Prism A and Prism B. What is the total volume of the composite figure?

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