Practice Test 9 - 6th 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.

A triangular prism has a triangular base with vertices at (0,0), (6,0), and (3,4) on a coordinate plane. If the prism has a height of 10 units, what is the volume of the prism?
A water tank fills at a rate of 15 gallons every 4 minutes. At this rate, how many minutes will it take to add 60 gallons to the tank?
Four temperatures were recorded during a science lab: $-2^\circ\text{C}$ , $3^\circ\text{C}$ , $0^\circ\text{C}$ , and $-5^\circ\text{C}$ . Arrange them from coldest to warmest using an inequality chain.
A machine produces 144 widgets in 36 minutes. At this same rate, how many widgets will the machine produce in 2 hours and 15 minutes?
A student claims the surface area of a rectangular prism with dimensions $3\text{ cm} \times 4\text{ cm} \times 5\text{ cm}$ is $47\text{ cm}^2$ because $3\cdot4 + 3\cdot5 + 4\cdot5 = 47$ . Is the student correct? Choose the best answer.
A science class measured the lengths (in cm) of 5 leaves: 10, 12, 14, 16, 18. Find the mean absolute deviation (MAD) from the mean.
Look at the net diagram. If you fold this net into a three-dimensional shape, which statement about the resulting figure is correct?
The figure shows triangle PQR with an exterior angle at vertex R. If the two non-adjacent interior angles measure 65° and 48°, what is the measure of the exterior angle shown?
A set of test scores is skewed right because a few students scored much higher than most students. Which statement best explains why the median is a better measure of center than the mean for these scores?
A student claims that a triangle can have angles measuring $65°$ , $55°$ , and $70°$ . Which statement best evaluates this claim?
In a class of 30 students, 18 like pizza, 20 like hamburgers, and 12 like both pizza and hamburgers. If a student is selected at random, what is the probability that the student likes pizza but not hamburgers?
A science class warms water. The temperature starts at 18°C and increases by 4°C each minute. Let $t$ be time in minutes and $T$ be temperature in °C. Which statement correctly connects the equation, table, and graph?
A class conducts a coin-flipping experiment. Group A flips 10 times and gets 7 heads. Group B flips 100 times and gets 45 heads. The theoretical probability of heads is $0.5$ . Which statement best compares their results to the theoretical probability?
Compute and interpret: A container holds $\tfrac{3}{4}$ liter of juice. Each small bottle holds $\tfrac{1}{2}$ liter. How many small bottles can be filled? Compute $\left(\tfrac{3}{4}\right)\div\left(\tfrac{1}{2}\right)$ and verify by multiplying the quotient by $\tfrac{1}{2}$ .
A rope is 4 $\frac{1}{2}$ feet long. It needs to be cut into pieces that are each 6 inches long. How many complete pieces can be made?
A swimming pool is being filled at a constant rate. After 2 hours, it contains 350 gallons. After 4 hours, it contains 550 gallons. Which rule represents the total gallons $G$ after $h$ hours?
A rectangular garden has a length that is 8 feet longer than its width. The perimeter of the garden is 56 feet. If $w$ represents the width of the garden, which equation can be used to find the width?
A class has 20 boys and 25 girls. What is the ratio of boys to girls in simplest form?
A science club writes the expression $\dfrac{x+5}{2}$ to represent "half of the total of $x$ and $5$ ." Which statement correctly describes the expression using vocabulary?
A student writes the expression $3\times 2^3 + 4^2$ on the board. What is the value of the expression?

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