PSAT/NMSQT Examination Mathematics
What is the mathematics will be tested in PSAT /NMSQT?
Mathematics questions call upon the skills students have learned in arithmetic, algebra, and geometry. Some of the questions are like those in standard math textbooks. Others require students to use math skills in original ways to solve non-routine problems. The ability to reason logically in a variety of situations is tested throughout.Basic geometric formulas are included in the test book for reference because the PSAT/NMSQT emphasizes application, rather than memorization, of this material.
What is the Timing, No of Questions, Question type will be tested in PSAT /NMSQT?
Get the facts on PSAT/NMSQT Mathematics:
Point scale: 20-80
Timing: Two 25-minute sections
Questions: 38
Question types:28 Multiple Choice questions and 10 Student-Produced Response questions
What are the Academic Skills will be tested in PSAT /NMSQT?
Mathematics questions are designed to test these specific skills – the same skills that are critical for success in college and career:
Problem Solving: Solve abstract and practical problems by applying and adapting a variety of strategies. Monitor progress and evaluate answers in terms of the questions asked.
Representation: Use and translate among representations including verbal, numerical, symbolic, and graphical to communicate mathematical ideas and solve problems.
Reasoning: Develop and use mathematical arguments and proofs to explore the truth of conjectures and justify conclusions.
Connections: Connect ideas from different areas of mathematics (particularly geometry and algebra) to state or solve abstract or applied problems.
Communication: Express mathematical ideas precisely and communicate them coherently and clearly in the language and notation of mathematics.
What is the Math Concepts Covered in PSAT /NMSQT?
The PSAT/NMSQT covers math concepts in four areas:
Number and operations
Algebra and functions
Geometry and measurement
Data analysis, statistics, and probability
The PSAT/NMSQT does not test content covered in third-year math classes. The SAT, however, does test that content.
Number and Operations (20-25%)
Arithmetic word problems (including percent, ratio, and proportion)
Properties of integers (even, odd, prime numbers, divisibility, etc.)
Rational numbers
Sets (union, intersection, elements)
Counting techniques
Sequences and series
Elementary number theory
Algebra and Functions (35-40%)
Substitution and simplifying algebraic expressions
Properties of exponents
Algebraic word problems
Solutions of linear equations and inequalities
Systems of equations and inequalities
Quadratic equations
Rational and radical equations
Equations of lines
Absolute value
Direct and inverse variation
Concepts of algebraic functions
Newly defined symbols based on commonly used operations
Geometry and Measurement (25-30%)
Area and perimeter of a polygon
Area and circumference of a circle
Volume of a box, cube, and cylinder
Pythagorean theorem and special properties of isosceles, equilateral, and right triangles
Properties of parallel and perpendicular lines
Coordinate geometry
Geometric visualization
Slope
Similarity
Transformations
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PSATNMSQT Mathematics Practice Exam Set
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PSATNMSQT Mathematics Practice Exam Set
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