## Free SAT test

Free SAT practice test

### Click to start a Math practice test

The mathematics section has  44 multiple-choice questions and 10 student-produced response questions. The student response questions require you to fill in a response.The questions in our math test will be of varying difficulty and will not appear in any particular order. To help you guage how difficult a particular math test question was, we show the percentage of students who got it correct.

### Breakdown

The questions in the math section can be broadly classified into one of the following types...

#### Number and operations

• Properties of integers, Arithmetic word problems, Number lines, Squares and square roots, Fractions and rational numbers, Elementary number theory, Factors, multiples and remainders, Prime numbers,

•  Ratios, Proportions and percents,

• Sequences, Sets (union, intersection),

•  Counting problems, Permutations and Combinations.

#### Algebra and functions

• Algebra- Factoring, Exponents, Evaluating expressions with exponents and roots, Solving equations, Determining if an equation has a solution, Solving for one variable in terms of another, Solving equations involving radical expressions, Absolute value, Direct translation into mathematical expressions, Inequalities, Systems of linear equations and inequalities, Solving quadratic equations by factoring, Rational equations and inequalities, Direct and inverse variation.

• Functions- Function notation and evaluation, Domain and range, Using new definitions, Functions as models, Linear functions: their equations and graphs, Quadratic functions: their equations and graphs, Qualitative behavior of graphs and functions, Changes in simple functions and their effects on their graphs ;

#### Geometry and measurement

• Triangles (including special triangles)- Equilateral triangles, Isosceles triangles, Right triangles and the Pythagorean theorem, 30°_60°_90° triangles, 45°_45°_90° triangles, 3-4-5 triangles, Congruent triangles, Similar triangles, The triangle inequality,Area

• Quadrilaterals - Parallelograms, Rectangles, Squares, Areas and perimeters, Areas of squares and rectangles, Perimeters of squares and rectangles,Area

• Polygons- Angles in a polygon, Perimeter, Area

• Circles - Diameter, Radius, Tangent to a circle, Circumference, Area

• Solid geometry - Solid figures and volumes, Surface area

• Points and lines, Angles in the plane, Geometric perception

• Coordinate geometry- Slopes, paraUellines and perpendicular lines, The midpoint formula, The distance formula, Transformations

#### Data analysis, statistics and probability

• Data interpretation, Statistics, Arithmetic mean, Median, Mode

• Weighted average, Average of algebraic expressions, Using averages to find missing numbers

• Elementary probability, Geometric probability

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