Practice Test 2 - 5th 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.

A coach records a time of $350$ seconds and writes the number sentence $350 \div 10^1$ to convert it to a smaller number. Powers of 10 change place value positions, so the digits shift. Text evidence of digit shift: - Before: 3 hundreds, 5 tens, 0 ones - After dividing by $10^1$ : each digit shifts 1 place to the right Which statement is correct?
Examine the angle bisector diagram. Ray OB bisects angle AOC. If the entire angle AOC measures $86°$ , and you need to compare angle AOB with a $45°$ reference angle, what is the relationship?
The equation □ × 47 = 2,491 represents a missing factor problem. Which division equation would help solve for the missing factor, and what is the solution?
Students want to investigate whether students who eat breakfast score higher on math tests. They collect test scores from students who ate breakfast and those who didn't. What type of data representation would best show if there's a difference between the two groups?
A baker has $\tfrac{1}{4}$ of a cake left. She shares it equally in two different ways: (1) among 2 kids and (2) among 4 kids. Imagine the cake is first divided into 4 equal pieces, and then that one piece is partitioned again into equal smaller parts. Dividing a fraction by a whole number creates smaller equal parts. Which statement is correct when you compare $\tfrac{1}{4} \div 2$ and $\tfrac{1}{4} \div 4$ ?
Which expression has the same value as $8 + 4 \times (6 - 2)$ ?
Marcus surveyed his class about their favorite sports. He found that 8 students chose basketball, 6 chose soccer, 4 chose baseball, and 2 chose tennis. He wants to display this data and determine what fraction of the class prefers team sports (basketball, soccer, baseball). Which approach best demonstrates complete problem-solving?
A classroom has 10 identical glue sticks to share equally among 6 tables. The fraction $\frac{10}{6}$ represents the result of division because $\frac{a}{b}$ means $a \div b$ . The numerator is 10 (glue sticks) and the denominator is 6 (tables), showing equal sharing. Which statement explains the meaning of $\frac{10}{6}$ in this situation?
Students want to find out if there's a relationship between hours of sleep and test scores. Look at the data collection plan below. What is the MAIN problem with their approach?
Sarah needs to compare $\frac{7}{12}$ and $\frac{3}{8}$ to see which fraction is larger. After finding the LCM of 12 and 8, what will be the common denominator she should use?
Jessica measures three angles: $x°$ , $(x + 20)°$ , and $(2x - 10)°$ . If the smallest angle measures $45°$ , what is the measure of the largest angle?
A student writes these notes: 1) All quadrilaterals have 4 sides. 2) All parallelograms are quadrilaterals. 3) All rectangles are parallelograms. 4) All squares are rectangles. Which statement must be true based on the notes and the idea that subcategories inherit attributes from their categories?
Use the standard algorithm for $84\times 36$ . Which step is correct for the tens partial product?
Jack solved a problem about sharing 84 marbles equally among friends and found that each friend gets 12 marbles. He verified by calculating $12 \times 7 = 84$ . Now Jack wants to evaluate his entire problem-solving process. What question should he ask himself?
Points $K$ and $L$ lie on the same horizontal line on a coordinate grid. Point $K$ has coordinates $(4, 10)$ . If point $L$ has an x-coordinate of 15, what is the ordered pair for point $L$ ?
A point is described as being located 5 units to the right of the y-axis and exactly on the x-axis. Which ordered pair represents this point?
A 4-yard roll of string is used to make keychains. Each keychain needs $\tfrac{1}{4}$ yard of string. You can picture 4 yards as 4 whole bars, and each bar is split into 4 equal parts (fourths). This division answers "how many $\tfrac{1}{4}$ -yard groups are in 4 yards." What is the correct answer to $4 \div \tfrac{1}{4}$ ?
Refer to the angle comparison chart. Four different angles are measured and compared to a right angle ( $90°$ ). Based on the measurements shown, which angle is closest in measure to being exactly halfway between a right angle and a straight angle?
A delivery truck travels $45.8$ kilometers in the morning and $23,600$ meters in the afternoon. If the truck's fuel efficiency is $12$ kilometers per liter, how many liters of fuel were used for the entire day?
A baker uses $\frac{3}{4}$ cup of milk in one recipe and $\frac{7}{10}$ cup of milk in another recipe. Using the LCM method, what is the difference between these amounts?

Practice tests