最新的SAT Section Two : Mathematics - SAT-Mathematics免費考試真題
問題1
Find the measure of angle Z.
正確答案:
90
Explanation/Reference:
Triangle DBC and triangle DEF are isosceles right triangles, which means the measures of DBDC And
DEDF both equal 45; 180 - (m DBDC + mDEDF) = mDZ; 180 - 90 = mDZ; mDZ = 90.
Explanation/Reference:
Triangle DBC and triangle DEF are isosceles right triangles, which means the measures of DBDC And
DEDF both equal 45; 180 - (m DBDC + mDEDF) = mDZ; 180 - 90 = mDZ; mDZ = 90.
問題2
If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the
union of sets M and N
union of sets M and N
正確答案: A
說明：（僅 VCESoft 成員可見）
問題3
If
正確答案: E
說明：（僅 VCESoft 成員可見）
問題4
The scatter plot above shows the speeds of different runners over time. Which of the following could be
the equation of the line of best fit?
正確答案: D
說明：（僅 VCESoft 成員可見）
問題5
Which of the following statements is always true if p is a rational number?
正確答案: D
說明：（僅 VCESoft 成員可見）
問題6
The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.
What is the length of the room?
What is the length of the room?
正確答案:
23
Explanation/Reference:
If x is the width of the room, then 3 + 2x is the length of the room. The perimeter is equal to x + x + (3 + 2x)
+ (3 + 2x) = 66; 6x + 6 = 66; 6x = 60; x = 10. The length of the room is equal to 2x + 3, 2(10) + 3 = 23 feet.
Explanation/Reference:
If x is the width of the room, then 3 + 2x is the length of the room. The perimeter is equal to x + x + (3 + 2x)
+ (3 + 2x) = 66; 6x + 6 = 66; 6x = 60; x = 10. The length of the room is equal to 2x + 3, 2(10) + 3 = 23 feet.
問題7
What is the slope of the line 3y = 12x 3?
正確答案: C
說明：（僅 VCESoft 成員可見）
問題8
If 2a2 + b = 10 and - what is the positive value of a?
正確答案:
3
Explanation/Reference:
Solve2a2+b= 10 for b:b=10-2a2. Substitute (10-2a2) for b in the second equation and solve for a:
The positive value of a is 3
Explanation/Reference:
Solve2a2+b= 10 for b:b=10-2a2. Substitute (10-2a2) for b in the second equation and solve for a:
The positive value of a is 3
問題9
正確答案:
21
Explanation/Reference:
Both figures contain five angles. Each figure contains three right angles and an angle labeled 105
degrees. Therefore, the corresponding angles in each figure whose measures are not given (angles Band
G, respectively) must also be equal, which makes the two figures similar. The lengths of the sides of
similar figures are in the same ratio. The length of side FJ is 36 units and the length of its corresponding
side, AE,
in figure ABCDE is 180 units. Therefore, the ratio of side FJ to side AE is 36:180 or 1:5. The lengths of
sides FG and AB are in the same ratio. If the length of side FG is x,
then: The length of side FG is 21 units.
Explanation/Reference:
Both figures contain five angles. Each figure contains three right angles and an angle labeled 105
degrees. Therefore, the corresponding angles in each figure whose measures are not given (angles Band
G, respectively) must also be equal, which makes the two figures similar. The lengths of the sides of
similar figures are in the same ratio. The length of side FJ is 36 units and the length of its corresponding
side, AE,
in figure ABCDE is 180 units. Therefore, the ratio of side FJ to side AE is 36:180 or 1:5. The lengths of
sides FG and AB are in the same ratio. If the length of side FG is x,
then: The length of side FG is 21 units.
問題10
In the diagram above, triangle ABC is a right triangle and the diameter of circle O is 2/3 the length of AB.
Which of the following is equal to the shaded area?
正確答案: E
說明：（僅 VCESoft 成員可見）
問題11
A bus holds 68 people. If there must be one adult for every four children on the bus, how many children
can fit on the bus?
can fit on the bus?
正確答案:
52
Explanation/Reference:
There is one adult for every four children on the bus. Divide the size of the bus, 68, by
There can be no more than 13 groups of one adult, four children. Therefore, there can be no more than
(13 groups)(4 children in a group) = 52 children on the bus.
Explanation/Reference:
There is one adult for every four children on the bus. Divide the size of the bus, 68, by
There can be no more than 13 groups of one adult, four children. Therefore, there can be no more than
(13 groups)(4 children in a group) = 52 children on the bus.
問題12
Line AC is a diagonal of square ABCD. What is the sine of angle ACB?
正確答案: C
說明：（僅 VCESoft 成員可見）
問題13
The length of a rectangular prism is four times the height of the prism and one-third the width of the prism.
If the volume of the prism is 384in3, what is the width of the prism?
If the volume of the prism is 384in3, what is the width of the prism?
正確答案:
24
Explanation/Reference:
If the height of the prism is h, then the length of the prism is four times that, 4h. The length is one-third of
the width, so the width is three times the length: 12h. The volume of the prism is equal to its length
multiplied by its width multiplied by its height:
The height of the prism is 2 in, the length of the prism is (2 in)(4) = 8 in, and the width of the prism is (8 in)
(3) = 24 in.
Explanation/Reference:
If the height of the prism is h, then the length of the prism is four times that, 4h. The length is one-third of
the width, so the width is three times the length: 12h. The volume of the prism is equal to its length
multiplied by its width multiplied by its height:
The height of the prism is 2 in, the length of the prism is (2 in)(4) = 8 in, and the width of the prism is (8 in)
(3) = 24 in.
