Mathematics questions can have two formats:
Here is a breakdown of the Questions and Timing:
- Multiple-choice questions
- Student-produced response questions
Here is a breakdown of the Questions and Timing:
The content of the mathematics questions falls into four general categories:
Student-produced responses
In one of the 25-minute mathematics sections, there will be 10 questions that have no answer choices provided. Students must solve the problem and fill in the answer on a special grid.
It is very important for students to understand the directions for entering answers on the grid. The format is described in the test book, but students will lose valuable time if they struggle to understand what the section requires during the actual test.
To answer these questions, students must:
o Whole numbers
o Fractions
o Decimals
In one of the 25-minute mathematics sections, there will be 10 questions that have no answer choices provided. Students must solve the problem and fill in the answer on a special grid.
It is very important for students to understand the directions for entering answers on the grid. The format is described in the test book, but students will lose valuable time if they struggle to understand what the section requires during the actual test.
To answer these questions, students must:
- Write numbers that range from 0 to 9999 (including decimals and fractions) on the grid
- Write the form of the answer that they obtain naturally in solving the problem:
o Whole numbers
o Fractions
o Decimals
1. Number and operations questions
About a quarter of the mathematics questions address the following concepts:
2. Algebra and functions questions
Just over a third of the mathematics questions address the following concepts:
3. Geometry and measurement questions
Just over a quarter of the mathematics questions address the following concepts:
4. Data analysis, statistics, and probability questions
A little more than a tenth of the mathematics questions address the following concepts:
About a quarter of the mathematics questions address the following concepts:
- Arithmetic word problems (including percent, ratio, and proportion)
- Properties of integers (even, odd, prime numbers, divisibility, and so forth)
- Rational numbers
- Sets (union, intersection, elements)
- Counting techniques
- Sequences and series (including exponential growth)
- Elementary number theory
2. Algebra and functions questions
Just over a third of the mathematics questions address the following concepts:
- 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
3. Geometry and measurement questions
Just over a quarter of the mathematics questions address the following concepts:
- 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
4. Data analysis, statistics, and probability questions
A little more than a tenth of the mathematics questions address the following concepts:
- Data interpretation (tables and graphs)
- Descriptive statistics (mean, median, and mode)
- Probability