100+ Free Montana MAST Grade 6 Mathematics Practice Questions

Ratios & Proportional Relationships

Understand the concept of a ratio and use ratio language; understand the concept of a unit rate a/b associated with a ratio a:b; use ratio and rate reasoning to solve real-world and mathematical problems (unit pricing, constant speed, unit conversions, percent of a quantity); find a percent of a quantity as a rate per 100; use ratio reasoning to convert measurement units and manipulate or transform units appropriately.

The Number System

Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions; fluently divide multi-digit numbers using the standard algorithm; fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm; find the greatest common factor and least common multiple; positive and negative numbers on a number line, opposite and absolute value, inequalities, and the coordinate plane in four quadrants.

Expressions & Equations

Write and evaluate numerical expressions with whole-number exponents; identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); evaluate expressions at specific values; apply properties of operations to generate equivalent expressions; identify when two expressions are equivalent; understand solving an equation or inequality as a process; use variables to represent numbers and write expressions, equations, and inequalities; solve one-variable equations and inequalities of the form x + p = q and px = q; represent and analyze quantitative relationships between dependent and independent variables.

Geometry

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; find the volume of a right rectangular prism with fractional edge lengths; draw polygons in the coordinate plane given coordinates; use coordinates to find the length of a side joining points with the same first or second coordinate; represent three-dimensional figures using nets made of rectangles and triangles and use the nets to find surface area.

Statistics & Probability

Recognize a statistical question; understand that a data distribution can be described by its center (mean, median), spread (range, IQR), and overall shape; recognize that a measure of center summarizes all values with a single number while a measure of variation summarizes how values vary; display numerical data in plots on a number line (dot plots, histograms, box plots); summarize numerical data sets by reporting number of observations, measures of center and variability, and describing patterns and deviations.