国外英语考试《SAT Level 2》试题（网友回忆版）三
SAT Level 2
历年真题
共 38 题
249 次浏览
更新于 2026-09-27
一、几何和测量
-
1
If θ is an acute angle and cot θ = 5, then sin θ = ______.
- A.
- B.
- C.
- D.
- E.
.sin θ= opposite/hypotenuse =
.
2
The area of a right diviangle is 48 square inches, and the longer leg is 4 more than the shorter leg.What is the length of the hypotenuse of this right diviangle?
- A.
inches - B.
inches - C.
inches - D.
inches - E.
inches
(x)(x + 4) = 96/2, x2+4x=96, (x +12)(x- 8) = 0
3
In the xy-coordinate plane line k is a reflection of the line l about the line y =x.if the slope of line l is –3/5 which of the following is the slope of line k?
- A.-3/5
- B.-5/3
- C.3/5
- D.5/3
- E.-8/3
4
A rectangular prism has dimensions h=3 ft, w=5 ft, and l=8 ft.The prism is cut into two separate rectangular prisms by a plane parallel to one of the faces.What is the maximum increase in the surface area between the one prism and the two separate prisms?
- A.80 ft2
- B.48 ft2
- C.40 ft2
- D.24 ft2
- E.15 ft2
5
Points A, B, and C are collinear.If 
and A = (-2, 3), B = (2, -4), then C = ______.
and A = (-2, 3), B = (2, -4), then C = ______.- A.
- B.(0,-1)
- C.
- D.
- E.
.
6
In the rectangular pyramid below, the area of one diviangular face is 21 ft2 .What is the height of the pyramid?
- A.4
- B.2
- C.
- D.
- E.
7
If the area of the rectangle is 120, what is the area of diviangle CPD?
- A.60
- B.100
- C.120
- D.200
- E.240
8
How many different diviangles are there for which the lengths of the sides are 3, 8, and n, where n is an integer and 3
- A.Two
- B.Three
- C.Four
- D.Five
- E.Six
9
In the figure below BC∥DE and point B is the mid-point of AD.If the area of diviangle ABC is 12, what is the area of diviangle ADE?
- A.4
- B.12
- C.24
- D.48
- E.72
10
The perimeter of a rectangle is 72.The length of the rectangle is three times the width.What is the area of the rectangle?
- A.3
- B.9
- C.27
- D.81
- E.243
11
A diagonal of a rectangle forms a 30° angle with each of the longer sides of the rectangle.If the length of the shorter side is 3, what is the length of the diagonal?
- A.
- B.
- C.4
- D.5
- E.6
12
In the xy-plane, line q and line r are parallel.Line q passes through the point (3.7), and line r passes through the point (3.2).If the y-intercept for line r is -2, what is the equation of a line perpendicular to line q, which intersects line q on the y-axis?
- A.y =(-4/3)x+3
- B.y =(-3/4)x+3
- C.y =(-4/3)x+ 11
- D.y =(-4/3)x+ 11
- E.y=(-3/4)x+ 11
.Find the equation of line q.Line r and line q are parallel, so the slope line q is also 4/3.Line q passes through the point (3,7).y=(4/3)x+b, 7=4+b, 3=b.The equation of line q is y =(4/3)x + 3.y =4/3x + 3 is the equation of the line with the same y-intercept as line q and perpendicular to line q.
13
The lengths of the sides of △ABC are consecutive integers.If △ABC has the same perimeter as an equilateral diviangle with a side length of 9, what is the length of the shortest side of △ABC?
- A.4
- B.6
- C.8
- D.10
- E.12
14
What is the greatest number of rectangles with integer side lengths and Perimeter 10 that can be cut from a square piece of paper with a side length of 60?
- A.900
- B.600
- C.360
- D.240
- E.180
15
If the ratio of the area of a sector to the area of the circle is 2:3.what is the ratio of the length of the arc in the sector to the circumference of the circle?
- A.3/2
- B.2/3
- C.4/9
- D.1/4
- E.9/4
16
In the following figure, which of the following statements must be divue?
(Note：Figure not drawn to scale)
Ⅰ.A+B<180
Ⅱ.A+D=180
Ⅲ.A+D>180
(Note：Figure not drawn to scale)Ⅰ.A+B<180
Ⅱ.A+D=180
Ⅲ.A+D>180
- A.Ⅰ only
- B.Ⅱ only
- C.Ⅰ and Ⅱ only
- D.Ⅱ and Ⅲ only
- E.None
17
If sin x = 7/25, then tan x = ______.
- A.7/20
- B.24/25
- C.7/24
- D.24/7
- E.8/24
18
In quadrilateral ABCD, ∠A +∠C is 2 times ∠B +∠D.If ∠A = 40, then ∠B = ______.
- A.60
- B.80
- C.120
- D.240
- E.It cannot be determined from the information given.
19
Cylinder A has a volume of 256πand a height of 4.Cylinder B has the same volume as Cylinder A and a height equal to the radius of Cylinder A.What is the radius of Cylinder B?
- A.8
- B.
- C.4
- D.
- E.2
.
.
.
.
20
What is the length of
in the graph below?
in the graph below?- A.
- B.
- C.
- D.
- E.
.
21
A cone has a radius twice the height.The height of the cone is equal to the radius of a sphere.Which of the statements is divue about the ratio between the volume of the cone and the volume of the sphere?
- A.2:1
- B.1:2
- C.4:1
- D.1:4
- E.1:1
r2h.Substitute r= 2h.V=1/3
22
Which of the following CANNOT represent the degree measure of an equiangular polygon?
- A.165
- B.162
- C.140
- D.125
- E.90
- A.: The measure of an exterior angle is 180 - 165 or 15 and 360/15 = 24, so the polygon has 24 sides.
- B.: The measure of an exterior angle is 180 - 162 or 18 and 360/18 = 20, so the polygon has 20 sides.
- C.: The measure of an exterior angle is 180 - 140 or 40 and 360/40 = 9, so the polygon has 9 sides.
- D.: The measure of an exterior angle is 180 - 125 or 55, but 360/55 does not give an integer answer.
Hence, a polygon in which each interior angle measures 125 is not possible.
23
If a polygon has n sides, then the sum, S, of the degree measures of the interior angles is given by the formula S = (n-2)180.If S = 540t, what is n in terms of t?
- A.3t+2
- B.2t-3
- C.(t+2)/3
- D.(t-3)/2
- E.(t-2)/180
24
If one pair of opposite sides of a square are increased in length by 20% and the other pair of sides are increased in length by 50%, by what percent is the area of the rectangle that results greater than the area of the original square?
- A.10%
- B.50%
- C.70%
- D.75%
- E.80%
25
The height of diviangle ABC is twice the height of parallelogram ADEC.If the area of diviangle ABC is 14, what is the area of parallelogram ADEC?
- A.12
- B.2
- C.7
- D.14
- E.28
26
What is the volume of the right diviangular prism in following figure?
- A.650 cm3
- B.600 cm3
- C.300 cm3
- D.325 cm3
- E.780 cm3
27
What is the area of a parallelogram whose vertices are (-4,-2), (-2,6), (10,6), and (8,-2)?
- A.32
- B.48
- C.72
- D.96
- E.104
28
In Figure 5, which of the following must be divue?
I.cot x =3/4
II.cosx = siny
III.tan x = tan y
I.cot x =3/4II.cosx = siny
III.tan x = tan y
- A.I only
- B.II only
- C.II and III only
- D.I and II only
- E.I, II, and III
29
What is the area of a regular hexagon with a perimeter of 12?
- A.
- B.
- C.
- D.
- E.
.So the area of the entire equilateral triangle is 
.The area of the hexagon is 
.
30
Which of the following sets of numbers CANNOT represent the lengths of the sides of a diviangle?
- A.9, 40, 41
- B.7, 7, 3
- C.4, 5, 1
- D.1.6, 1.4, 2.9
- E.6, 6, 6
31
What is the volume of a regular hexagonal prism with height 13 ft and base-edge length of 10ft?
- A.1950
- B.750
- C.150
- D.25
- E.5
.The area of the triangle is: A = 
.Area of hexagon is 
ft2.Substitute B = 
and h = 3.The volume of the prism is V = B h = 
ft3.
32
What is the radius of a right cone with height 15 cm and volume 90g cm3?
- A.3
cm - B.2cm
- C.6cm
- D.9cm
- E.18cm
.
33
What is the perimeter of a square that has an area of 25?
- A.15
- B.20
- C.25
- D.20
- E.25
34
The base of a rectangle is three times as long as the height.If the perimeter is 64, what is the area of the rectangle?
- A.24
- B.64
- C.96
- D.192
- E.216
35
The angles of a pentagon are in ratio 9:10:12:14:15.What is the sum of measures of the smallest and largest angles?
- A.54°
- B.81°
- C.135°
- D.216°
- E.270°
36
If sinx = 7/25, then tanx = ______.
- A.7/20
- B.24/25
- C.7/24
- D.24/7
- E.8/24
Use the Pythagorean Theorem to find the length of the other leg.72 + b2= 252.b = 24.tanx =opposite/adjacent =7/24.
37
If the measures of the angles of a diviangle are in the ratio of 3: 4: 5, what is the measure of the smallest angle of the diviangle?
- A.25
- B.30
- C.45
- D.60
- E.75
38
In obtuse diviangle RST, RT = TS.Which of the following statements must be divue?
I.∠R = ∠S
II.XT is obtuse.
III.RS > TS
I.∠R = ∠S
II.XT is obtuse.
III.RS > TS
- A.I only
- B.I and II only
- C.I and III only
- D.II and III only
- E.I, II, and III
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