Practice Test 4 - 3rd Grade Math

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

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1. Students are classifying 3D shapes by whether they have any flat surfaces that could be used as a base to make the shape stand up. A teacher shows them that some shapes have multiple possible bases while others have only one or none. Which shape has exactly one possible base?
2. A tiled rectangle has $3$ rows of $5$ squares. What is the area?
3. The number line has 8 equal parts; which point is at $5/8$?
4. Starting at 0, count 3 intervals of $1/6$ each on a number line from 0 to 1. Where do you land?
5. Look at the fraction bars in the chart. Tom says $\frac{4}{6}$ is equivalent to $\frac{2}{3}$ because when he covers up the $\frac{4}{6}$ bar with the $\frac{2}{3}$ bar, they match perfectly. What does this tell us about equivalent fractions?
6. A rectangular patio is 12 feet long and 8 feet wide. What is the area?
7. A grid is 6 columns wide and 3 rows tall. Every other column is completely shaded, starting with the first column. What is the area of all the shaded unit squares?
8. A library organizes books on shelves. Each shelf holds exactly $6$ books. The librarian places $48$ fiction books and $36$ non-fiction books on the shelves. All books fit perfectly with no empty spaces. Later, she needs to move $3$ complete shelves of books to a different section. How many books remain in the original location?
9. What is $42\div 6$?
10. The number line shows the interval from 0 to 1 divided into equal parts. Point $P$ is placed at the first mark to the right of 0. What fraction does point $P$ represent?
11. Mina has 5 packs of 30 stickers. How many stickers in all?
12. Look at the shape that is divided into equal parts by the dashed lines. If each small part has an area of 3 square inches, what is the total area of the entire shape?
13. Two rectangular gardens each have a perimeter of 20 feet. Garden A measures 1 foot by 9 feet. Garden B measures 5 feet by 5 feet. Which garden has more area?
14. Which number line correctly shows the location of $\frac{1}{4}$?
15. Look at the lines in the figure. Line TU crosses line PQ. What type of angle is made where the lines cross?
16. Which list shows ONLY fractions that are equal to whole numbers?
17. The baker puts muffins on 5 trays, with 6 muffins on each tray. Which multiplication expression represents the total number of muffins the baker put in the display case?
18. The grid below shows a shape where some unit squares are missing from a larger rectangle. The original rectangle was $5 \times 3$ before unit squares were removed. How many unit squares were removed to create the shape shown?
19. Carlos explains that $\frac{2}{4}$ and $\frac{1}{2}$ are equal by drawing two circles. In the first circle, he shades 2 out of 4 equal parts. What should he do with the second circle to best show they are equivalent fractions?
20. The number line shows fractions with denominator 4. If a second number line of the same length is divided into eighths, which fraction with denominator 8 will land exactly on the point labeled $\frac{1}{4}$?

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