Question ID 6d99b141

Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 6d99b141

In the figure, . The measure of angle is , and the measure of angle is . What is the value of
?
Question ID e10d8313
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: e10d8313

In the figure shown, points , , , and lie on line segment , and line segment intersects line segment at
point . The measure of is , the measure of is , the measure of is , and the measure
of is . What is the measure, in degrees, of ?
Question ID f88f27e5
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: f88f27e5
Intersecting lines r, s, and t are shown below.

What is the value of x ?

Question ID e5c57163
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: e5c57163

Square A has side lengths that are times the side lengths of square B. The area of square A is times the area of
square B. What is the value of ?
Question ID 983412ea
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 983412ea

A right square prism has a height of units. The volume of the prism is cubic units. What is the length, in units, of an
edge of the base?
Question ID a4c0547f
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: a4c0547f

In triangle , angle is a right angle and the length of is units. If , what is the perimeter, in units, of
triangle ?

A.

B.

C.

D.
Question ID 947a3cde
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 947a3cde

In the figure above, and intersect at point P, , and .

What is the measure, in degrees, of ? (Disregard the degree symbol when
gridding your answer.)
Question ID 9adb86ed
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 9adb86ed

Points and lie on a circle with center . The radius of this circle is inches. Triangle has a perimeter of
inches. What is the length, in inches, of ?

A.

B.

C.

D.
Question ID 858fd1cf
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 858fd1cf

A circle in the xy-plane has its center at . Line is tangent to this circle at the point . Which of the following
points also lies on line ?

A.

B.

C.

D.
Question ID 9966235e
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 9966235e

A cube has an edge length of inches. A solid sphere with a radius of inches is inside the cube, such that the sphere
touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken
up by the sphere?

A.

B.

C.

D.
Question ID a0369739
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: a0369739

In triangle , the measure of angle is and is an altitude of the triangle. The length of is and the
length of is greater than the length of . What is the value of ?

A.

B.

C.

D.
Question ID a07ed090
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: a07ed090

The figure shown is a right circular cylinder with a radius of and height of . A second right circular cylinder (not shown)
has a volume that is times as large as the volume of the cylinder shown. Which of the following could represent the
radius , in terms of , and the height , in terms of , of the second cylinder?

A. and

B. and

C. and

D. and
Question ID 2d2cb85e
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 2d2cb85e

In the figure, , the measure of angle is , and the measure of angle is . What is the value of ?
Question ID 345cc36a
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 345cc36a

In the figure shown, and intersect at point . , , , and . What is the

length of ?
Question ID c8345903
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: c8345903

The circle above has center O, the length of arc is , and

. What is the length of arc ?

A.

B.

C.

D.
Question ID 901c3215
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 901c3215

In triangles and , angles and each have measure and angles and each have measure . Which
additional piece of information is sufficient to determine whether triangle is congruent to triangle ?

A. The measure of angle

B. The length of side

C. The lengths of sides and

D. No additional information is necessary.

Question ID 85f1892d
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 85f1892d

In triangle , angle is a right angle, the measure of angle is , and the length of is units. If the area, in
square units, of triangle can be represented by the expression , where is a constant, what is the value of
?
Question ID bd87bc09
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: bd87bc09

Triangle above is a right triangle, and .

What is the length of side ?

Question ID f7dbde16
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: f7dbde16

In triangles and , angles and each have measure , , and . Which additional piece of
information is sufficient to prove that triangle is similar to triangle ?

A. and

B. and

C. The measures of angles and are and , respectively.

D. The measures of angles and are and , respectively.

Question ID 76c73dbf
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 76c73dbf

The graph of in the xy-plane is a circle. What is the length of the circle’s radius?
Question ID 52f7b898
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 52f7b898

Right triangle is shown. What is the value of ?

A.

B.

C.

D.
Question ID e50afdd3
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: e50afdd3

The graph of the given equation is a circle in the xy-plane. The point lies on the circle. Which of the following is a
possible value for ?

A.

B.

C.

D.
Question ID 167aff9e
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 167aff9e

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is
, and the surface area of right rectangular prism Y is . The volume of right
rectangular prism Y is . What is the sum of the volumes, , of right rectangular
prism X and right rectangular prism Y?
Question ID 2266984b
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 2266984b

The equation above defines a circle in the xy-plane. What are the
coordinates of the center of the circle?

A.

B.

C.

D.
Question ID 1429dcdf
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 1429dcdf

In the triangle shown, what is the value of ?

Question ID 69b0d79d
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 69b0d79d

Point O is the center of the circle above, and the measure of is . If the

length of is 18, what is the length of arc ?

A.

B.

C.

D.
Question ID ebbf23ae
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: ebbf23ae

A circle in the xy-plane has a diameter with endpoints and . An equation of this circle is
, where is a positive constant. What is the value of ?
Question ID 4c95c7d4
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 4c95c7d4

A graphic designer is creating a logo for a company. The logo is shown in the figure
above. The logo is in the shape of a trapezoid and consists of three congruent
equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the
combined area of the shaded regions, in square centimeters, of the logo?

A.

B.

C.

D. 16
Question ID b8a225ff
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: b8a225ff

Circle A in the xy-plane has the equation . Circle B has the same center as circle A. The radius of
circle B is two times the radius of circle A. The equation defining circle B in the xy-plane is , where
is a constant. What is the value of ?
Question ID b0a72bdc
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: b0a72bdc

What is the diameter of the circle in the xy-plane with equation ?

A.

B.

C.

D.
Question ID 9fec9d49
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 9fec9d49

The floor of a ballroom has an area of square meters. An architect creates a scale model of the floor of the ballroom,
where the length of each side of the model is times the length of the corresponding side of the actual floor of the
ballroom. What is the area, in square meters, of the scale model?

A.

B.

C.

D.
Question ID ba8ca563
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: ba8ca563

A cube has a volume of cubic units. What is the surface area, in square units, of the cube?
Question ID b1e1c2f5
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: b1e1c2f5

In right triangle , angle is the right angle and . Point on side is connected by a line segment with
point on side such that line segment is parallel to side and . What is the length of line segment
?
Question ID a4bd60a3
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: a4bd60a3

The perimeter of an equilateral triangle is centimeters. The height of this triangle is centimeters, where is a
constant. What is the value of ?
Question ID 899c6042
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 899c6042

A right circular cone has a height of and a base with a diameter of . The volume of this cone is
. What is the value of ?
Question ID 498d6795
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 498d6795

In triangle , angle is a right angle. The length of side is and the length of side is . What is
the length of side ?

A.

B.

C.

D.
Question ID 740bf79f
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 740bf79f

In the figure above, what is the

length of ?

A. 2.2

B. 2.3

C. 2.4

D. 2.5
Question ID 3b225698
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 3b225698

Triangle is similar to triangle such that , , and correspond to , , and , respectively. The measure of
is and . What is the measure of ?

A.

B.

C.

D.
Question ID 249d3f80
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 249d3f80

Point is the center of a circle. The measure of arc on this circle is . What is the measure, in degrees, of its
associated angle ?
Question ID ab176ad6
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: ab176ad6

The equation defines a circle in the

xy‑plane. What is the radius of the circle?
Question ID 3e577e4a
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 3e577e4a

A circle in the xy-plane has its center at . Line is tangent to this circle at the point . What is the slope of
line ?

A.

B.

C.

D.
Question ID b0dc920d
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: b0dc920d

A manufacturer determined that right cylindrical containers with a height that is 4

inches longer than the radius offer the optimal number of containers to be
displayed on a shelf. Which of the following expresses the volume, V, in cubic
inches, of such containers, where r is the radius, in inches?

A.

B.

C.

D.
Question ID 55bb437a
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 55bb437a

In the figure above, . If and

, what is the length of ?

Question ID ffe862a3
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: ffe862a3

An isosceles right triangle has a hypotenuse of length inches. What is the perimeter, in inches, of this triangle?

A.

B.

C.

D.
Question ID bd7f6e30
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: bd7f6e30

In the figure above, .

What is the value of x ?

A. 72

B. 66

C. 64

D. 58
Question ID 24cec8d1
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 24cec8d1

A circle has center , and points and lie on the circle. In triangle , the measure of is . What is the
measure of , in degrees? (Disregard the degree symbol when entering your answer.)
Question ID 8c1aa743
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 8c1aa743

Rectangles and are similar. The length of each side of is times the length of the corresponding
side of . The area of is square units. What is the area, in square units, of ?

A.

B.

C.

D.
Question ID 44b2b894
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 44b2b894

A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal
of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is square units.
What is the length, in units, of the diameter of the circle?
Question ID 9e44284b
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 9e44284b

In the xy-plane, the graph of is a

circle. What is the radius of the circle?

A. 5

B. 6.5

C.

D.
Question ID 54df8076
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 54df8076

The perimeter of an equilateral triangle is centimeters. The three vertices of the triangle lie on a circle. The radius of the
circle is centimeters. What is the value of ?
Question ID 6585d841
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 6585d841

In the xy-plane, the graph of the given equation is a circle. What is the length of the circle's radius?

A.

B.

C.

D.
Question ID 459dd6c5
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 459dd6c5

Triangles and are similar. Each side length of triangle is times the corresponding side length of triangle
. The area of triangle is square inches. What is the area, in square inches, of triangle ?
Question ID f67255ea
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: f67255ea

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute
angles is . The sum of the measures of one of the acute angles and three of the obtuse angles is
. What is the value of ?
Question ID 6a3fbec3
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 6a3fbec3

In the figure above, and .

What is the length of ?

Question ID 306264ab
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 306264ab

A right triangle has sides of length , , and units. What is the area of the triangle, in square units?

A.

B.

C.

D.
Question ID 8027db3f
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 8027db3f

In triangle , and angle is a right angle. What is the value of ?

Question ID acd30391
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: acd30391

A circle in the xy-plane has equation . Which of the

following points does NOT lie in the interior of the circle?

A.

B.

C.

D.
Question ID 1bf809b5
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 1bf809b5

In the triangle shown, what is the value of ?

Question ID dba6a25a
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: dba6a25a

In the figure above, is parallel to .

What is the length of ?

Question ID a38c0183
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: a38c0183

Circle A (shown) is defined by the equation . Circle B (not shown) is the result of shifting circle A down
units and increasing the radius so that the radius of circle B is times the radius of circle A. Which equation defines circle B?

A. msup

B. msup

C. msup

D. msup
Question ID f7e626b2
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: f7e626b2

The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches.

What is the surface area, in square inches, of the prism?

A. 30

B. 74

C. 120

D. 148
Question ID 2be01bd9
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 2be01bd9

Triangle is similar to triangle , where angle corresponds to angle and angle corresponds to angle .
Angles and are right angles. If , what is the value of ?
Question ID 694b7fce
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 694b7fce

In the figure shown, units, units, and units. What is the area, in square units, of triangle
?
Question ID 099526fc
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 099526fc

The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is
square units. What is the length, in units, of the other leg of this triangle?

A.

B.

C.

D.
Question ID 17912810
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 17912810

In the figure, parallel lines and are intersected by lines and . If and , what is the value of ?
Question ID 92eb236a
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 92eb236a

In a right triangle, the tangent of one of the two acute angles is . What
is the tangent of the other acute angle?

A.

B.

C.

D.
Question ID f329442c
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: f329442c

Circle has a radius of and circle has a radius of , where is a positive constant. The area of circle is how
many times the area of circle ?

A.

B.

C.

D.
Question ID c6dff223
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: c6dff223

Triangle is similar to triangle , where angle corresponds to angle and angles and are right angles. The
length of is times the length of . If , what is the value of ?
Question ID ae041e52
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: ae041e52

A square is inscribed in a circle. The radius of the circle is inches. What is the side length, in inches, of the square?

A.

B.

C.

D.
Question ID eb70d2d0
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: eb70d2d0

What is the area, in square units, of the triangle formed by connecting the three points shown?
Question ID fb58c0db
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: fb58c0db

Points A and B lie on a circle with radius 1, and arc has length . What

fraction of the circumference of the circle is the length of arc ?

Question ID 16d66178
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 16d66178

Which of the following expressions is equivalent to ?

A.

B.

C. msup

D. msup
Question ID f731d88b
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: f731d88b

In convex pentagon , segment is parallel to segment . The measure of angle is degrees, and the
measure of angle is degrees. What is the measure, in degrees, of angle ?
Question ID adae6543
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: adae6543

In the figure, intersects at point , and is parallel to . The lengths of , , and are , , and ,
respectively. What is the length of ?

A.

B.

C.

D.
Question ID 93de3f84
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 93de3f84

The volume of right circular cylinder A is 22 cubic centimeters. What is the volume,
in cubic centimeters, of a right circular cylinder with twice the radius and half the
height of cylinder A?

A. 11

B. 22

C. 44

D. 66
Question ID f243c383
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: f243c383

Two identical rectangular prisms each have a height of . The base of each prism is a square, and the
surface area of each prism is . If the prisms are glued together along a square base, the resulting prism has a surface
area of . What is the side length, in , of each square base?

A.

B.

C.

D.
Question ID e80d62c6
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: e80d62c6

The equation represents circle A. Circle B is obtained by shifting circle A down units in the xy-plane.
Which of the following equations represents circle B?

A. msup

B. msup

C. msup

D. msup
Question ID 7c25b0dc
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 7c25b0dc

The length of a rectangle’s diagonal is , and the length of the rectangle’s shorter side is . What is the length of the
rectangle’s longer side?
Question ID 196e8e6e
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 196e8e6e

In the xy-plane, a circle has center with coordinates . Points and lie on the circle. Point has coordinates
, and is a right angle. What is the length of ?

A.

B.

C.

D.
Question ID 89661424
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 89661424

A circle in the xy-plane has its center at and has a radius of . An equation of this circle is
, where , , and are constants. What is the value of ?
Question ID 981275d2
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 981275d2

In the xy-plane, the graph of the equation above is a circle. Point P is on the circle
and has coordinates . If is a diameter of the circle, what are the
coordinates of point Q ?

A.

B.

C.

D.
Question ID 9d159400
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 9d159400

Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?

A. msup

B. msup

C. msup

D. msup
Question ID 1be8b6b2
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 1be8b6b2

A right circular cone has a volume of cubic centimeters and the area of its base is square centimeters.
What is the slant height, in centimeters, of this cone?

A.

B.

C.

D.
Question ID ca2235f6
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: ca2235f6

A circle has center , and points and lie on the circle. The measure of arc is and the length of arc is
inches. What is the circumference, in inches, of the circle?

A.

B.

C.

D.
Question ID 5b4757df
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 5b4757df

In triangle , angle is a right angle, point lies on , point lies on , and is parallel to . If the length of
is units, the length of is units, and the area of triangle is square units, what is the length of , in
units?
Question ID 010243e6
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 010243e6

Triangles and are graphed in the xy-plane. Triangle has vertices , , and at , , and
, respectively. Triangle has vertices , , and at , , and , respectively, where is a
positive constant. If the measure of is , what is the measure of ?

A.

B.

C.

D.
Question ID 244ff6c4
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 244ff6c4

What is the value of ?

A.

B.

C.

D.
Question ID 48fb6483
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: 48fb6483

In triangle , angle is a right angle, point lies on , and point lies on such that is parallel to . If
the measure of angle is , what is the measure, in degrees, of angle ?
Question ID 0acfddb5
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 0acfddb5

A circle has center , and points and lie on the circle. Line segments and are tangent to the circle at points
and , respectively. If the radius of the circle is millimeters and the perimeter of quadrilateral is
millimeters, what is the distance, in millimeters, between points and ?

A.

B.

C.

D.
Question ID 9acd101f
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 9acd101f

The equation represents circle A. Circle B is obtained by shifting circle A down units in the xy-plane.
Which of the following equations represents circle B?

A. msup

B. msup

C. msup

D. msup
Question ID 6ab30ce3
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 6ab30ce3

Triangle is similar to triangle , where corresponds to and corresponds to . Angles and are right
angles. If and , what is the length of ?

A.

B.

C.

D.
Question ID 6933b3d9
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 6933b3d9

In triangle RST above, point W (not shown) lies on . What is the value of
?
Question ID c9931030
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: c9931030

The side lengths of right triangle are given. Triangle is similar to triangle , where corresponds to and
corresponds to . What is the value of ?

A.

B.

C.

D.
Question ID f811d345
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: f811d345

A right triangle has legs with lengths of centimeters and centimeters. If the length of this triangle's hypotenuse, in
centimeters, can be written in the form , where is an integer, what is the value of ?
Question ID dc71597b
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: dc71597b

A right circular cone has a volume of cubic feet and a height of 9 feet. What
is the radius, in feet, of the base of the cone?

A.

B.

C.

D. 3
Question ID 9f934297
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 9f934297

A right rectangular prism has a length of , a width of , and a height of . What is the
surface area, , of the right rectangular prism?
Question ID 5b2b8866
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 5b2b8866

A rectangular poster has an area of square inches. A copy of the poster is made in which the length and width of the
original poster are each increased by . What is the area of the copy, in square inches?
Question ID eeb4143c
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Lines, angles, and

Trigonometry triangles

ID: eeb4143c

The area of triangle ABC above is at least 48 but no more than 60. If y is an
integer, what is one possible value of x ?
Question ID 0e709a29
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 0e709a29

The side lengths of right triangle are given. Triangle is similar to triangle , where corresponds to and
corresponds to . What is the value of ?

A.

B.

C.

D.
Question ID 568d66a7
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 568d66a7

An isosceles right triangle has a perimeter of inches. What is the length, in inches, of one leg of this triangle?

A.

B.

C.

D.
Question ID 310c87fe
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Area and volume

Trigonometry

ID: 310c87fe

A cube has a surface area of 54 square meters. What is the

volume, in cubic meters, of the cube?

A. 18

B. 27

C. 36

D. 81
Question ID 25da87f8
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Right triangles and

Trigonometry trigonometry

ID: 25da87f8

A triangle with angle measures 30°, 60°, and 90° has a perimeter of .
What is the length of the longest side of the triangle?
Question ID 1efd7ef3
Assessment Test Domain Skill Difficulty

SAT Math Geometry and Circles

Trigonometry

ID: 1efd7ef3

What is the value of ?

A.

B.

C.

D.