The SAT Math section is created to evaluate a student’s problem-solving ability as well as mathematical proficiency. It is composed of two modules:
- Module 1: Calculator Permitted (22 questions, 35 minutes)
- Module 2: Calculator Permitted (22 questions, 35 minutes)
Each module has a combination of multiple-choice and grid-in questions, assessing a wide variety of mathematical ideas.
SAT Math Content Areas
The SAT Math test is divided into four main content areas. Following is the division of each section with the respective topics covered:
1. Algebra (35% weightage, 13-15 questions)
In this section, the student’s skills to work with equations, inequalities, and functions are assessed.
- Linear equations in one variable: Solve x in equations such as 3x + 5 = 20.
What is a solution to the given equation ?
B) 30
C) 450
D) 900
- Linear equations in two variables: Determine variable relationships and solve for unknowns.
B) y=x-8.
C) y=-x-8.
D) y=2x-8
- Linear functions: Identify function characteristics and interpret graphs.
B) f(x)=29x+32.
C) f(x)=35x+29
D) f(x)=32x+35
- Systems of two linear equations in two variables: Solve two-variable equations by substitution or elimination.
6x+y=72
The solution to the given system of equations is (x,y). What is the value of y ?
- Linear inequalities in one or two variables: Solve and graph inequalities on a number line or coordinate plane.
The given equation describes the relationship between the number of birds, b, and the number of reptiles, r, that can be cared for at a pet care business on a given day. If the business cares for 16 reptiles on a given day, how many birds can it care for on this Day ?
B) 5.
C) 40
D) 80
Common Mistake: Students often forget to flip the inequality sign when multiplying/dividing by a negative number.
2. Advanced Math (35% weightage, 13-15 questions)
This section focuses on more complex algebraic concepts and higher-level problem-solving.
- Equivalent expressions: Simplify expressions using exponent and radical rules.
- Nonlinear equations in one variable: Solve quadratic and other nonlinear equations.
y=3x+a
In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point, (x,y), in the xy-plane. What is the value of x ?
B) -6.
C) 6.
D) 8
- Nonlinear functions: Identify and work with exponential and polynomial functions.
B) The value of the bank account is estimated to be approximately 243 dollars in 1962.
C) The value, in dollars, of the bank account is estimated to be approximately 5 times greater in 1962 than in 1957.
D) The value of the bank account is estimated to increase by approximately 243 dollars every 5 years between 1957 and 1972 .
Pro Tip: If you struggle with quadratics, try factoring, completing the square, or using the quadratic formula.
3. Problem-Solving and Data Analysis (15% weightage, 5-7 questions)
This section focuses on more complex algebraic concepts and higher-level problem-solving.
- Ratios, rates, proportional relationships, and units: Solve problems that include speed, density, and unit conversions.
B) It must increase by 24.5 units.
C) It must decrease by 7 units.
D) It must increase by 7 units.
- Percentages: Apply percentage increase, decrease, and corresponding word problems.
B) 50\%
C) 75\%
D) 225\%
- One-variable data: Analyze distributions, mean, median, and range.
B) 39
C) 48
D) 50
- Two-variable data: Interpret scatterplots and correlation.
B) y=0.9-9.4x.
C) y=9.4+0.9x.
D) y=9.4-0.9x
- Probability and conditional probability: Solve probability problems, including independent and dependent events.
- Inference from sample statistics and margin of error: Draw conclusions from data sets and surveys.
- Evaluating statistical claims: Distinguish between observational studies and experiments.
Common Mistake: Students often misinterpret scatterplots by confusing correlation with causation.
4. Geometry and Trigonometry (15% weightage, 5-7 questions)
This section focuses on more complex algebraic concepts and higher-level problem-solving.
- Area and volume formulas: Use formulas for solids, triangles, and circles.
B) f(x)=(x+176)^2.
C) f(x)=(176x+44)^2.
D) f(x)=(176x+176)^2.
- Lines, angles, and triangles: Learn about angle relationships and triangle properties.
B) 72^\circ.
C) 82^\circ.
D) 162^\circ
- Right triangles and trigonometry: Apply sine, cosine, and tangent to solve problems.
B) 58\sqrt{2}.
C) 58+58\sqrt{2}.
D) 58+116\sqrt{2}.
- Circles: Deal with arc lengths, sectors, and circle equations.
Pro Tip: Memorize special right triangles (30-60-90 and 45-45-90) to solve problems quickly.
SAT Math Techniques for High Scores
- Master Essential Concepts: Study algebra and advanced math, since they constitute 70% of the test.
- Practice Under Time Constraints: Use timers to increase speed and precision.
- Tackle Easy Questions First: Complete easy problems first in order to retain time for the difficult ones.
- Memorize Key Formulas: The SAT includes a formula sheet, yet memorizing major formulas saves time.
- Practice Tests: Practice tests should be taken regularly in order to identify weak points and enhance time management.
- Elimination Strategies: Strike out clearly incorrect options to have a better chance of guessing.
Quick Reference: SAT Math Formula Sheet
Here are some essential formulas you should know for the SAT Math test:
Recommended Resources for SAT Math Success
To excel in SAT Math, having the right study materials is just as important as mastering the concepts. Below are some highly recommended resources to help you practice effectively and boost your score.
- My SAT Prep Journey: The Question I Got Wrong in Mock Test 4
- How increase your SAT Math score from 500 – 600
- How to Get 800 Score on SAT Math Test
- How to Get 800 Score on SAT Reading & Writing Test – 50+ Questions/Guide Inside
- 20 Hardest SAT Math Questions You Must Try
- SAT Geometry Questions You Must Practice Today
- Moonpreneur’s SAT Mock Test
These guides offer crucial strategies, practice questions, and expert tips to help you give your best.
My Final Thoughts and Advice
The SAT Math test is intended to evaluate both basic and advanced mathematical knowledge. Knowing its format, grasping essential concepts, and applying strategic methods can help you immensely in your performance.
Ready to give it a try? Attempt to solve the above example questions and share your answers in the comments! Let’s have a discussion on how to improve together.
Best of luck with your SAT prep journey!
