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SAT SAT-Mathematics Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Geometry and Trigonometry | 15% | - Plane geometry - Right triangle and unit circle trigonometry - Area, volume, scale |
| Topic 2: Problem-Solving and Data Analysis | 15% | - Ratios, rates, and percentages - Probability and statistics - Data interpretation |
| Topic 3: Advanced Math | 35% | - Quadratic and polynomial expressions - Nonlinear equations and functions - Exponential and radical expressions |
| Topic 4: Algebra | 35% | - Linear equations and inequalities - Systems of equations - Functions and algebraic representations |
SAT Section Two : Mathematics Sample Questions:

In the diagram above, ABCD is a square with an area of 100 cm2 and lines BD and AC are the diagonals
of ABCD. If line EF is parallel to line BC and the length of line CF = 32 cm, which of the following is equal
to the shaded area?
- A. 64 cm2
- B. 39 cm2
- C. 78 cm2
- D. 89 cm2
- E. 25 cm2
Explanation: Only visible for PrepAway members. You can sign-up / login (it's free).

The pie chart above shows the distribution of video rentals from Al's Video Vault for a single night. If 250
videos were rented that night, how many more action movies were rented than horror movies?
- A. 20
- B. 30
- C. 10
- D. 22
- E. 25
Explanation: Only visible for PrepAway members. You can sign-up / login (it's free).
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?
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.
A spinner is divided into eight equal regions, labeled one through eight. If Jenna spins the wheel, what is
the probability that she will spin a number that is less than four and greater than two?
- A. Option D
- B. Option B
- C. Option C
- D. Option E
- E. Option A
Explanation: Only visible for PrepAway members. You can sign-up / login (it's free).

If 2a2 + b = 10 and - what is the positive value of a?
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

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