Practice Test 10 - 6th Grade Math

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

A science lab has $\tfrac{3}{4}$ cup of saltwater mixture after adding $\tfrac{1}{4}$ cup of water. Let $x$ be the amount of mixture before adding water. Write an equation of the form $x+p=q$ and solve for $x$ .
For her weather report summary, how many rainfall observations can the meteorologist include from this two-week period?
Sarah collected data on the heights (in inches) of players on her basketball team: 58, 60, 62, 64, 66, 68, 70. She wants to create a box plot for this data. What will be the position of the median line in her box plot?
The data set shows the number of pages read by 12 students last night: $15, 20, 20, 18, 12, 15, 22, 18, 18, 25, 12, 20$ What is the number of observations in the data set?
A student writes the expression for points earned in a game: $3x+5$ . How many terms are in this expression, and what are they?
Two groups tracked minutes spent reading in one evening. Group A: 20, 22, 24, 26, 28, 30 Group B: 10, 12, 12, 13, 13, 40 Which choice correctly compares the distributions using center, spread, and shape?
A hiker's elevation relative to sea level is shown for three points on a trail: Point A is $-30\text{ m}$ , Point B is $0\text{ m}$ , and Point C is $40\text{ m}$ . Arrange the elevations from lowest to highest.
A rectangular garden has length $l$ and width $w$ . Sarah writes the perimeter formula as $P = 2l + 2w$ and explains it by saying: "You need two lengths and two widths to go around the rectangle." Her friend Alex writes it as $P = 2(l + w)$ and says: "You add one length and one width, then double it." How should they describe the relationship between their representations?
At a constant speed, a printer produces 84 pages in 6 minutes. At this same rate, how long will it take to print 273 pages?
On a horizontal number line with tick marks every $\tfrac{1}{2}$ unit from $-5$ to $5$ , a student needs to plot the numbers $-3$ , $-1.5$ , $0$ , $\tfrac{2}{3}$ , and $5$ . Which list shows the correct order from left to right?
Verify a division result by multiplication: If $4536\div 36 = 126$ , which check is correct?
A student tracked the number of text messages they sent each day for 10 days: 5, 6, 6, 7, 7, 8, 8, 9, 9, 30. Find the median and the IQR ( $Q_3-Q_1$ ), and describe the overall pattern and any striking deviation.
A jar has 20 red marbles. The red marbles are 25% of all the marbles in the jar. How many marbles are in the jar in total?
A table top is shaped like a trapezoid with parallel sides $6\text{ cm}$ and $10\text{ cm}$ and height $4\text{ cm}$ . What is the area of the trapezoid?
A teen checking account at First Bank requires a parent co-signer and has no monthly fees if the balance stays above $300. If the balance drops below $300, there's a $5 monthly fee. The account includes a debit card with purchase alerts sent to both the teen and parent. If Jake's balance is $350 in January, $250 in February, and $400 in March, what fees will he pay for the first quarter?
The times (in minutes) it took a group to finish a warm-up were: 8, 9, 10, 12, 16, 17, 18. Find the median (measure of center) and the range (measure of variation).
A recipe uses $x$ cups of flour. If you make half the recipe, which expression represents half of $x$ ?
A science experiment measures how temperature affects the volume of a gas. Students record that when temperature increases by 10°C, volume increases by 15 mL. If $T$ represents temperature and $V$ represents volume, and the initial volume is 200 mL at 20°C, which analysis correctly identifies the relationship?
Calculate $24.6-7.85$ . Use the standard subtraction algorithm by writing $24.6$ as $24.60$ before subtracting.
Two buses leave the station at the same time. Bus A returns to the station every 8 minutes, and Bus B returns every 12 minutes. After how many minutes will both buses be at the station together again for the second time?

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