Practice Test 1 - 7th Grade Math

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

Marcus claims that the relationship between the side length of a square and its perimeter is proportional. Sophia argues that the relationship between the side length and the area is proportional. To test their claims, they create data for squares with side lengths 2, 4, and 6 units. Which conclusion is correct?
A student checks whether side lengths 6 cm, 7 cm, and 13 cm can form a triangle. What is the correct conclusion?
A student is testing a spinner that is supposed to land on black with probability $\frac{1}{4}$ . In 200 spins, it landed on black 58 times. Which comparison is most accurate?
Marcus divides $-\frac{7}{8}$ by $\frac{2}{3}$ and gets $-\frac{21}{16}$ . He then needs to express this result as a mixed number. What should his final answer be?
A rectangular prism is cut by a vertical plane that goes straight down from the top face to the bottom face (perpendicular to the base). What 2D shape is the cross-section?
On a number line, start at $-3$ and add $-6$ . You move a distance of $|-6|$ units in the direction of the sign of $-6$ . What is the final position (the value of $-3+(-6)$ )?
Look at the trapezoid shown. If the area of the trapezoid is $84$ square centimeters, what is the length of the missing parallel side?
Maya has a spinner with 4 equal sections colored red, blue, green, and yellow. She spins twice and records both colors. What is the probability that she gets at least one red in her two spins?
A circular garden has a radius of 8 feet. If the owner wants to install a decorative border around the entire perimeter and then cover the garden with mulch, what is the total cost if the border costs $3 per foot and mulch costs $2 per square foot? Use $\pi \approx 3.14$ .
Maria's monthly salary increased from $3,200 to $3,680. Her boss told her this was a 12% raise, but Maria thinks it's more than 12%. What is the actual percent increase in Maria's salary, and is her boss correct?
A student flips two fair coins. Which list correctly shows the entire compound sample space?
A class recorded a total change of $-45$ pages (negative means pages were removed from a display) over 9 days. If the change was the same each day, what is $(-45)\div 9$ ?
On a number line, what does adding $-6$ to $-3$ mean? Compute $-3+(-6)$ by describing the move and identifying the final position.
Maria enters the expression $3 + 4 \times 2^2 - 6 \div 2$ into her calculator. If her calculator follows standard order of operations, what result should she expect?
A student randomly chooses one shirt (Red or Blue) and then one pair of shorts (Black, Gray, or Tan). How many outcomes are in the sample space?
A classroom floor plan uses a scale of 1 inch : 5 feet. A wall is 15 feet long in real life. How long should that wall be on the floor plan (in inches)?
A recipe uses $\tfrac{2}{3}$ cup of sugar to make $\tfrac{1}{6}$ of a batch of cookies. How many cups of sugar are needed for 1 whole batch?
A water tank fills at a constant rate. In the first 4 minutes, 18 gallons flow into the tank. In the next 6 minutes, 27 gallons flow into the tank. What is the constant of proportionality that describes gallons per minute?
The cost $C$ of renting a bike for $h$ hours is given by $C = h + 15$ . A customer pays $22 for a rental. What does the equation tell us about the rental structure?
A weather app looks at the last 30 days. It rained on 12 days and was sunny on 18 days. Based on these frequencies, what is the best probability model for tomorrow's weather?

Practice tests