Practice Test 3 - 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.

Start practice test

1. A pizza restaurant uses $2.75$ pounds of cheese to make $8$ large pizzas. The chef calculated that to make $32$ large pizzas, he needs $1.1$ pounds of cheese. What does estimation reveal about this calculation?
2. A student is checking a statement about $15 \times \tfrac{1}{1}$. The factors are 15 and $\tfrac{1}{1}$. Since $\tfrac{1}{1}$ is equal to 1, multiplying by it keeps the product the same size as 15. Which statement is correct without calculating?
3. Point $A$ has coordinates $(0, 9)$ and point $B$ has coordinates $(9, 0)$. Which statement correctly describes these two points?
4. A rectangular garden is plotted on a coordinate grid with corners at $(2, 2)$, $(2, 9)$, $(10, 9)$, and $(10, 2)$, where each grid unit equals 1 meter. What is the area of the garden, in square meters?
5. A student is looking at these expressions with the same original number 7: - $7 \times \frac{9}{8}$ - $7 \times \frac{5}{8}$ Which explanation correctly tells which product is larger than 7 and which product is smaller than 7, using the idea that the fraction's size compared to 1 determines the effect?
6. A student walks 10 kilometers on a hike. She walked $\tfrac{2}{5} \times 10$ kilometers before lunch. She thinks: "First divide 10 kilometers into 5 equal parts, then take 2 parts." Which statement about the product is correct?
7. Look at the tiled rectangle in the figure. Each small square represents a unit square with area $\frac{1}{36}$ square inch. If you were to multiply the side lengths instead of counting squares, which calculation would give the same result?
8. Maria is making trail mix. She has $12$ cups of nuts and wants to use $\frac{3}{4}$ of them. To find how many cups she will use, she calculates $\frac{3}{4} \times 12$. Which statement best describes what this multiplication represents?
9. Carmen collected data on how many books her classmates read last month: 3, 5, 2, 8, 5, 4, 6, 5, 7, 4, 5, 3. She wants to present this information to show both the most common number of books read and how the data is distributed. Which combination of representations would MOST effectively communicate both pieces of information?
10. A pet store owner records how many fish are sold each month. Based on the graph, in which month were twice as many fish sold compared to Month $3$?
11. A student is comparing two ways to write a score calculation: $8\times(9+3)$ and $8\times9+3$. Which statement best explains how the parentheses change the value?
12. A baker makes cookies using this process: "Double the number of chocolate chips, add 8 vanilla chips, then divide the total by 3 to find batches needed." If $c$ represents chocolate chips, which expression represents this process?
13. A student is choosing between two expressions: $(16 - 8) \times 3$ and $16 - (8 \times 3)$. Which value matches the expression $(16 - 8) \times 3$?
14. Elena calculated $\frac{2}{3} \times \frac{4}{5} = \frac{8}{15}$. To check reasonableness, she notes that both fractions are less than $1$, so her product should also be less than $1$. Since $\frac{8}{15}$ is less than $1$, she concludes her answer is correct. Is her reasoning complete?
15. Look at the pie chart showing favorite school subjects. A student argues that since Math and Science together make up exactly half the chart, these subjects are equally popular with students. What error in reasoning has this student made?
16. Look at the quadrilateral shown. In quadrilateral ABCD, angle A measures $95°$, angle B measures $85°$, and angle C measures $75°$. How does angle D compare to the average of the other three angles?
17. Which decimal is equivalent to the mixed number $1\frac{7}{8}$?
18. Emma needs to determine if $t = 12$ satisfies the equation $\frac{t}{3} + 7 = 2t - 13$. What should be her final conclusion after performing the substitution?
19. A library has $1{,}176$ books to place equally on $28$ shelves. A student says, "I can check my division by multiplying the quotient by $28$ to get $1{,}176$." What is the quotient of $1{,}176 \div 28$?
20. A store packs $24 \times \tfrac{5}{6}$ items in a shipment. The factors are 24 and $\tfrac{5}{6}$. Since $\tfrac{5}{6}$ is less than 1, multiplying by it makes the product smaller than 24. Which statement correctly compares the product to 24?

Practice tests