Practice Test 6 - 3rd Grade Math

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

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1. Jake knows these two facts: $8 × 9 = 72$ and $72 ÷ 8 = 9$. Using the same three numbers, what is another division fact Jake can write?
2. A bakery opens at 6:00 AM. The first batch of cookies takes 35 minutes to bake, and the second batch takes 40 minutes to bake. If both batches bake one after the other, what time are all the cookies finished?
3. Maya studies the pattern when multiplying by 5: 5 × 1 = 5, 5 × 2 = 10, 5 × 3 = 15, 5 × 4 = 20, 5 × 5 = 25. She observes that the ones digit follows a specific pattern. What explains why this ones digit pattern occurs?
4. The number line shows two points, $P$ and $Q$. Which pair of fractions is represented by the same point on the number line?
5. What is $30 \div 5$?
6. A school orders notebooks for students. They order $7$ boxes, with each box containing $8$ notebooks. After distributing the notebooks equally among $4$ classrooms, the principal finds that each classroom received the same number of notebooks with none left over. Later, one classroom gives half of their notebooks to the library. How many notebooks does that classroom have left?
7. Lina has 42 beads and makes groups of 6. How many groups does she make?
8. Look at the shape made of unit squares shown. Emma wants to rearrange these squares into a rectangle. What would be the area of any rectangle she makes?
9. Maya cut a pizza into 8 equal slices. Each slice is what fraction?
10. Tim knows that $6 \times 8 = 48$. He uses this fact to solve $48 \div 6$. What other division problem can he solve using the same multiplication fact?
11. Mrs. Johnson's class collected 4 boxes of 125 pencils each. They gave away 167 pencils to another class. How many pencils do they have left?
12. In the diagram shown, which statement is true about lines PQ and RS?
13. Emma is sorting shapes for an art project. She has a cube, a cylinder, a triangular prism, and a sphere. She wants to put all shapes that have at least one flat face in one group and shapes with no flat faces in another group. Which shape will be alone in its group?
14. Lila covered a rectangle with tiles. She said the area was 15 square units because she counted 5 tiles across the top and 3 tiles down the side. Is Lila correct?
15. Jamal's pencil case has a mass of 150 g. His notebook has a mass of 300 g. What is the total mass?
16. Which list shows the towns in order from smallest to largest population?
17. Maya has $\frac{7}{4}$ pizzas. She wants to write this amount as a mixed number. But first, she needs to figure out how many unit fractions of $\frac{1}{4}$ make up $\frac{7}{4}$. How many unit fractions of $\frac{1}{4}$ does Maya need?
18. What is the value of $n$ in $9 \times n = 81$?
19. Anna's dance class is 1 hour and 15 minutes long. The class has a 10-minute break in the middle. How many minutes does Anna actually spend dancing?
20. Maria has $\frac{2}{3}$ of a pizza. She wants to trade it for an equal amount from Jake's pizza, which is cut into 6 equal pieces. How many pieces of Jake's pizza should Maria get to make a fair trade?

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