Practice Test 10 - 3rd Grade Math

17 of the 20 questions below are in this test; the other 3 can't be scored yet. Answer them in any order, then submit to see your score and every explanation.

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1. The equation $8 \times \triangle = 56$ and $\triangle \times 4 = \square$ both use the same value for $\triangle$. What is the value of $\square$?
2. Alex needs to find a fraction equivalent to $\frac{3}{5}$ that has a denominator of 15. What must Alex do to find this equivalent fraction?
3. A rectangle is completely covered by unit squares with no gaps or overlaps. Maya counts 4 rows with 5 unit squares in each row. What is the area of the rectangle?
4. Refer to the figure. Maya covered a rectangle with square tiles. Each tile is 1 square inch. How many square inches is the area of the rectangle?
5. Tessa is packing gift bags. She fills 8 bags with 30 stickers each. Then she realizes she also needs 6 bags with 20 stickers each. How many stickers does Tessa need in all?
6. Maria cuts a pizza into 6 equal slices. She eats 2 slices and gives 1 slice to her brother. Look at the diagram showing the remaining pizza. What fraction represents the part of the pizza that is left?
7. A shelf has 42 books in 6 equal rows. How many books are in each row?
8. Using the number line provided, which point represents a fraction that is equivalent to $\frac{1}{2}$ when both fractions are written with the same denominator as shown on the number line?
9. Use the figure to answer the question. What is the area of the shaded rectangle?
10. Yuki counted 294 birds on Saturday and 378 birds on Sunday. What is the total number of birds Yuki counted?
11. The number line shows a point Q between 0 and 2. What fraction does point Q represent?
12. A bus can carry 50 students. Ms. Kim needs to take 265 students on a field trip. If she uses 5 buses, how many students will NOT get a seat?
13. A student is trying to explain why $\frac{1}{2}$ is greater than $\frac{1}{4}$ using pictures and words. Which explanation shows the BEST mathematical reasoning?
14. Chen says, "A square is not a rectangle." Is he correct?
15. A rectangle has a total area of $48$ square units and a width of $6$ units. What is the length of the rectangle?
16. Based on the number line diagram, which fraction is greater than $\frac{1}{2}$ but less than $\frac{3}{4}$?
17. Two rectangles both have an area of 24 square feet. Rectangle A measures 1 foot by 24 feet. Rectangle B measures 4 feet by 6 feet. Which rectangle has the longer perimeter?
18. Based on the ruler shown, estimate how many centimeters long the ribbon would be if it were stretched out straight.
19. A rectangle has an area of 24 square inches. Which of the following could be its side lengths?
20. A teacher draws a number line and marks $\frac{1}{2}$. A student needs to mark $\frac{3}{8}$. How should the student determine where to place $\frac{3}{8}$?

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