Math practice 500-599 score range difficulty
questions
Number and Operations Skills needed to score in this band
SKILL 1: Solve problems using ideas from basic set theory and basic number theory
SKILL 2: Recognize and apply ratio, proportion, or percent in solving problems
SKILL 3: Use properties of real number operations, ordering, and the zero-product property
SKILL 4: Solve problems involving counting techniques
Algebra and Functions Skills needed to score in this band
SKILL 1: Formulate and solve problems involving proportions
SKILL 2: Solve multistep problems involving linear and quadratic relationships
(A) -1
(B) 0 (C) 2 (D) 8
(E) 15
SKILL 3: Use and interpret graphs, including graphs of step functions
SKILL 4: Solve problems involving algebraic inequalities
SKILL 5: Solve problems involving exponential growth and decay
SKILL 6: Evaluate an operation in three variables represented by unfamiliar symbols
Geometry and Measurement Skills needed to score in this band
SKILL 1: Recognize and use the following: Simple inscribed and circumscribed figures
(A) 45°
(B) 60°
(C) 90°
(D) 120°
(E) 180°
SKILL 2: Recognize and use the following: The Pythagorean Theorem
SKILL 3: Recognize and use the following: Coordinate geometry (e.g., slope calculations)
SKILL 4: Recognize and use the following: Parallelism and perpendicularity
SKILL 5: Recognize and use the following: Two- and three-dimensional figures
SKILL 6: Recognize and use the following: Figures composed of two or more simple shapes
SKILL 7: Interpret and solve two-step problems involving geometric proportions
Data, Statistics, and Probability Skills needed to score in this band
SKILL 1: Interpret and solve problems involving data displays (e.g., circle graphs)
Problem Solving Skills needed to score in this band
SKILL 1: Use multistep strategies to solve a problem, such as the following:
— Drawing auxiliary lines
SKILL2: Use multistep strategies to solve a problem, such as the following: Breaking a larger
problem down to smaller components
SKILL 3: Solve multistep nonroutine problems (e.g., by trial and error)
SKILL 4: Solve multistep geometry problems involving the following:
— Angle measures and relationships
SKILL 4: Solve multistep geometry problems involving the following: Triangles
4
Representation
Skills needed to score in this band
SKILL 1: Recognize and translate among information represented verbally, graphically,
numerically, and symbolically
SKILL 2: Visualize or sketch a figure based on a verbal description to solve a problem
SKILL 3: Interpret functions and graphs as models in applied situations
Reasoning
Skills needed to score in this band
SKILL 1: Make and test conjectures involving basic logic and set theory
SKILL 2: Use basic number theory to investigate conjectures (e.g., conjectures about
odd/even, positive/negative, and consecutive integers)
Connections
Skills needed to score in this band
SKILL 1: Use connections between areas of mathematics, such as the following:
— Algebra and geometry (e.g., connect geometric slope with an algebraic expression)
SKILL 2: Use connections between areas of mathematics, such as the following:— Data and
algebra (e.g., compute mean of algebraic expressions)
SKILL 3: Use connections between areas of mathematics, such as the following: Applying
proportions in geometric situations
(A) 40
(B) 42,5 (C) 50 (D) 52,5
(E) 62,5
Communication Skills needed to score in this band
SKILL 1: Use the following notation and terms:— Consecutive integers
SKILL 2: Use the following notation and terms: “NOT,” “CANNOT,” “must,” “which of the
following”
SKILL 3: Use the following notation and terms: Arcs
SKILL 4: Use the following notation and terms: Angle bisector