100+ Free Montana MAST Grade 5 Mathematics Practice Questions

Operations & Algebraic Thinking

Use parentheses, brackets, and braces in numerical expressions and evaluate expressions with these symbols; write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them; generate two numerical patterns using two given rules, identify apparent relationships between corresponding terms, and form ordered pairs and graph them.

Number & Operations in Base Ten

Recognize that in a multi-digit number a digit in one place represents 10× as much as it represents in the place to its right and 1/10 of what it represents to its left; explain patterns in the number of zeros of products when multiplying a number by powers of 10 and in placement of the decimal point when multiplying or dividing by a power of 10; read, write, and compare decimals to thousandths; round decimals to any place; fluently multiply multi-digit whole numbers using the standard algorithm; find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors; add, subtract, multiply, and divide decimals to hundredths.

Number & Operations — Fractions

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions; solve word problems involving addition and subtraction of fractions referring to the same whole and unlike denominators; interpret a fraction as division of the numerator by the denominator; multiply a fraction or whole number by a fraction; find the area of a rectangle with fractional side lengths; divide unit fractions by whole numbers and whole numbers by unit fractions; solve real-world problems involving division of unit fractions.

Measurement & Data

Convert among different-sized standard measurement units within a given measurement system and solve multi-step real-world problems; make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); recognize volume as an attribute of solid figures and understand concepts of volume measurement; measure volumes by counting unit cubes (cubic cm, cubic in, cubic ft, and improvised units); relate volume to multiplication and addition and solve real-world and mathematical problems involving volume (V = l × w × h and V = b × h).

Geometry

Use a pair of perpendicular number lines (axes) to define a coordinate system and plot points in the first quadrant; represent real-world and mathematical problems by graphing points in the first quadrant and interpret coordinate values; classify two-dimensional figures in a hierarchy based on properties, understanding that attributes belonging to a category of quadrilaterals also belong to all subcategories.