shapes and sizes

REMT 2017
SHAPES
AND SIZES
ANSWERS
1.
_________________ 13.
_________________
2.
_________________ 14.
_________________
3.
_________________ 15.
_________________
4.
_________________ 16.
_________________
5.
_________________ 17.
_________________
6.
_________________ 18.
_________________
7.
_________________ 19.
_________________
8.
_________________ 20.
_________________
9.
_________________ 21.
_________________
10.
_________________ 22.
_________________
11.
_________________ 23.
_________________
12.
_________________ 24.
_________________
_______________________________________________ _______________________________________ ________________
LAST NAME
FIRST NAME
GRADE
2017D2
The mathematical term for the diamond-shaped figure at right is
rhombus. Likewise each of figures 1 through 8 below has a
mathematical term describing it. On the answer sheet, write the
appropriate mathematical term for the corresponding figure. For
each quadrilateral, you should give the mathematical term that
describes what kind of quadrilateral it is. For each triangle, you
should give the three-word mathematical term that describes the
triangle according to both angles and side lengths, such as acute
equilateral triangle.
2
4
3
1
5
6
7
8
2017D3
9.
This figure is a drawing of a solid three-dimensional
figure. On the answer sheet, write the mathematical
term which best describes that three-dimensional figure.
10.
An angle whose degree measure is between 90 degrees and 180 degrees is called
a(n) _______________ angle. (Write your answer on the answer sheet.)
11.
A line which touches a circle at exactly one point is said to be _______________
to the circle. (Write your answer on the answer sheet.)
12.
A solid six-sided figure in which opposite faces are parallel is called a(n)
_______________. (Write your answer on the answer sheet.)
13.
This triangle has sides of length 25, 52, and 63, and has an
altitude of length 20, as shown. What is its perimeter?
25
52
20
63
14.
What is the area of the triangle described in problem 13?
2017D4
15.
What is the perimeter of a 30 by 40 rectangle?
16.
What is the length of a diagonal of a 30 by 40 rectangle?
17.
What is the circumference, to the nearest integer, of a circle circumscribed about a 30 by
40 rectangle?
18.
Two of the angles of a certain triangle measure 32 degrees and 84 degrees,
respectively. What is the degree measure of the third angle of that triangle?
19.
At a certain time of day, a six-foot fence post casts a 10-foot shadow. If, at the same
time, a flagpole casts a 45-foot shadow, how many feet tall is the flagpole?
2017D5
20.
In this picture, two parallel lines are cut by a transversal.
If the degree measure of angle x is 55, what is the degree
measure of angle y ?
y
x
21.
A circle has a diameter equal to 15 inches. To the nearest square inch, what is the
area enclosed by this circle?
22.
A right circular cone has a radius equal to 6 inches, and has its height equal to 14 inches.
What is the volume, to the nearest cubic inch, of this cone?
23.
A closed rectangular box has edges measuring 8 inches, 12 inches, and 15 inches.
What is the volume, in cubic inches, of this box?
24.
What is the total surface area, in square inches, of the box described in problem 23?