SAT/PSAT Exam Mathematics component : 

This section is 80 minutes long and has 58 questions. It has a couple of basic sub-sections: a 25-minute section (no calculator) and a 55-minute section (calculator allowed). Math questions involve knowledge of subject areas such as arithmetic, geometry, algebra, statistics and probability  It also involves data interpretation from tables/graphs and problem-solving.

For Mathematics, it is usually a good idea to identify your areas of improvement early on (insufficient grasp of fundamentals, or skewed time management etc). Once you zero-in on a deficiency, it is advisable to devise a laser-focused strategy to strengthen the deficiency.

Practice is of paramount importance, and a log of the mistakes can do wonders for your test score. If you want to score a perfect score (stereotypes of Indian nerdiness at Math notwithstanding), you should have a good grasp of all possible content along with good time-management skills. Moreover, many candidates make careless mistakes which drag down the overall score dramatically.

Calculator policy for Math component : https://tinyurl.com/jg77mrb 

                      Section

Time (in minutes)

No of questions

Math (No Calculator)

25

20 (5 in grid)

Math (Calculator allowed)

55

38 (8 in grid)

                                                                                                                                 

SAT TOPIC

MATHEMATICS EXT

MATHEMATICS STD

In which grade it is covered

  • Solving linear equations and linear inequalities

YES

YES

Grade 9 & 10 Both

  • Interpreting linear functions

YES

YES

Grade 10

  • Linear inequality and equation word problems

YES

YES

Grade 9

  • Graphing linear equations

YES

YES

Grade 10

  • Linear function word problems

YES

YES

Grade 10

  • Systems of linear inequalities word problems

YES

YES

Grade 9

  • Solving systems of linear equations

YES

YES

Grade 8 & 9

  • Solving quadratic equations

YES

YES

Grade 9 & 10

  • Interpreting nonlinear expressions

YES

(Quadratic, exponential and Log)

YES

(Quadratic & exponential)

Grade 9 & 10

  • Quadratic and exponential word problems

YES

YES

Grade 10

  • Radicals and rational exponents

YES

YES

Rational numbers - Grade 7

Exponents - Grade 8

  • Operations with rational expressions and polynomials

YES

YES

Grade 8

  • Polynomial factors and graphs

YES (Linear, Quadratic and cubic)

YES (Linear & Quadratic)

Grade 9 & 10

  • Nonlinear equation graphs

YES

YES

Grade 9

  • Linear and quadratic systems

YES

YES

Grade 9

  • Structure in expressions

YES

YES

Grade 8 (Only expressions)

  • Isolating quantities

Not explicitly  

Not explicitly

-

  • Functions

YES

(Linear, Quadratic, Logarithmic, rational, reciprocal, exponential & Trigonometric functions)

INDEPTH

YES

(Linear, Quadratic, exponential & Trigonometric functions)

Grade 10

  • Ratios, rates, and proportions

YES

YES

Grade 7

  • Percents

YES

YES

Grade 7

  • Units

NO

In DP (SI notations)

(They study this   explicitly in PHYSICS)

  • Table data

Not explicitly

(taken in probability & statistics)

Not explicitly

(taken in probability & statistics)

  • Scatterplots

YES

YES

Grade 9

  • Key features of graphs

YES

YES

Grade 8 - 9 - 10

  • Linear and exponential growth

YES

YES

Linear - Grade 9

Exponential - Grade 10

  • Data inferences

Not explicitly in depth

Not explicitly in depth

  • Center, spread, and shape of distributions

YES (No shape of distributions)

YES (No shape of distributions)

Grade 8

  • Data collection and conclusions

NO

NO

-

  • Volume word problems

YES

YES

Grade 8

  • Right Triangle word problems

YES

YES

Grade 8

  • Congruence and similarity

YES

YES

Grade 8 - 9

  • Right triangle geometry

YES (some theorems are not there in MYP)

YES (some theorems are not there in MYP)

Grade 8

  • Angles, arc lengths, and trig functions

YES (Whole)

YES (Only Sine, Cos)

Grade 10

  • Circle: Equations and theorems

YES

YES

Grade 9 -10

  • Complex numbers

NO

NO

               (In DP)

PSAT

SAT / PSAT difference -

The PSAT doesn't have an essay, and it's shorter – other than that, both tests are exactly the same. Functionally, they're different because the SAT can be used for college admissions, while the PSAT cannot, and the PSAT can be used to put you in the running for a National Merit scholarship, whereas the SAT cannot.

Part

Time (in minutes)

No of questions

Math (No Calculator)

25

17

Math (Calculator allowed)

45

31

Broad Idea

Topic

MATHEMATICS EXT

MATHEMATICS STD

In which grade it is covered

Heart of Algebra

Analyzing and fluently solving equations and systems of equations

YES

YES

Grade 8 & 10

Creating expressions and equations

YES

YES

Grade 8

Inequalities to represent relationships between quantities and to solve problems

YES

(Linear and Non-linear both)

YES

(Only linear)

Grade 9

 rearranging and interpreting formulas

YES

YES

Grade 7 - 8 - 9

Problem Solving & Data Analysis

Substitution and simplifying algebraic expressions

YES

YES

Grade 7

Properties of exponents

YES

YES

Grade 9

Algebraic word problems

YES

YES

Grade 7 - 8 - 9 - 10

Linear equations and inequalities

YES

YES

Grade 8 - 9

Systems of equations and inequalities

NO (Only linear )

YES (Only linear )

Grade 9 - 10

Rational and radical equations

YES

YES

Grade 9

Equations of lines

YES

YES

Grade 8

Absolute value

YES  (Absolute value & absolute functions both )

YES

Grade 7 & 10 (EXT)

Direct and inverse variation

YES

YES

Grade 8

Quadratic equations

YES

YES

Grade 9

Algebraic functions

YES

YES

Grade 10

Passport to Advanced Math

Area and perimeter of a polygon

YES

YES

Grade 7 - 8

Area and circumference of a circle

YES

YES

Grade 7

Volume

YES

YES

Grade 8

Pythagorean theorem, isosceles, equilateral, and right triangles

YES

YES

Grade 8

Parallel and perpendicular lines

YES

YES

Grade 8

Coordinate geometry, Slope

YES

YES

Grade 8 & 10

Transformations

YES

YES

Grade 8

Additional Topics in Math

Data interpretation

YES

YES

Grade 7 - 8 - 9 - 10

Statistics

YES

YES

Grade 7 - 8 - 9 - 10

Mean, median, and mode

YES

YES

Grade 8 - 9 - 10

Probability

YES  (Advanced - Conditional probability as well)

YES

Grade 8 - 9