7.G Tutor Intake — Geometry

A scale drawing uses a scale of $1 \text{ cm} = 5 \text{ m}$. A
wall in the drawing is $3 \text{ cm}$ long. What does this mean
about the actual wall?

A triangle has three side lengths: 5 cm, 8 cm, and 15 cm. Can
these three lengths form a triangle?

Which set of conditions does not determine a unique triangle?

A vertical plane cuts straight down through the middle of a right
rectangular prism. What 2D shape is the cross-section?

Two lines intersect forming four angles. Angle 1 and angle 3 are
vertical angles. Angle 1 measures $47°$. What must be true about
angle 3?

A map uses a scale of $1 \text{ cm} = 8 \text{ km}$. A road on the
map measures $6.5 \text{ cm}$. What is the actual length of the
road in kilometers?

A scale drawing has a scale of $1 \text{ cm} = 3 \text{ m}$. A
rectangular room in the drawing is $4 \text{ cm} \times 5 \text{ cm}$.
What is the actual area of the room in square meters?

A circle has a radius of $7$ cm. What is its circumference? Enter
an exact answer using $\pi$ (e.g., $14\pi$).

A circle has a radius of $5$ cm. What is its area? Enter an exact
answer using $\pi$ (e.g., $25\pi$).

Two angles are supplementary. One angle measures $(2x + 10)°$ and
the other measures $(3x - 5)°$. Find the value of $x$.

Find the area of the composite figure: a rectangle $10$ m $\times$
$6$ m with a right triangle attached to one of the short ends. The
triangle has a base of $6$ m and a height of $4$ m. What is the
total area in square meters?

A rectangular prism has a length of $5$ cm, a width of $3$ cm, and
a height of $4$ cm. What is its volume in cubic centimeters?

A circular fountain has a diameter of $10$ meters. What is the
area of the water surface? Enter an exact answer using $\pi$.

A swimming pool is shaped like a rectangular prism. It is $15$ m
long, $8$ m wide, and $2$ m deep. How many cubic meters of water
does it hold when full?