Day 1: 30 Multiple Choice Questions
Day 2: 8 Multiple Choice Questions, 6 Short Response Questions, 1 Extended Response Question
In Grade 5, the Learning Standards focus on three critical areas: (1) developing fluency with addition and
subtraction of fractions, and developing understanding of multiplication of fractions and of division of
fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit
fractions); (2) extending division to 2-digit divisors, integrating decimal fractions into the place value system
and developing understanding of operations with decimals to hundredths, and developing fluency with whole
number and decimal operations; and (3) developing understanding of volume.
1. Students apply their understanding of fractions and fraction models to represent the addition and
subtraction of fractions with unlike denominators as equivalent calculations with like denominators.
They develop fluency in calculating sums and differences of fractions, and make reasonable estimates
of them. Students also use the meaning of fractions, of multiplication and division, and the relationship
between multiplication and division to understand and explain why the procedures for multiplying
and dividing fractions make sense. (Note: this is limited to the case of dividing unit fractions by
whole numbers and whole numbers by unit fractions.)
2. Students develop understanding of why division procedures work based on the meaning of base-ten
numerals and properties of operations. They finalize fluency with multi-digit addition, subtraction,
multiplication, and division. They apply their understandings of models for decimals, decimal
notation, and properties of operations to add and subtract decimals to hundredths. They develop
fluency in these computations, and make reasonable estimates of their results. Students use the
relationship between decimals and fractions, as well as the relationship between finite decimals and
whole numbers (i.e., a finite decimal multiplied by an appropriate power of 10 is a whole number), to
understand and explain why the procedures for multiplying and dividing finite decimals make sense.
They compute products and quotients of decimals to hundredths efficiently and accurately.
Grades 3–8 Mathematics Test Guide
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3. Students recognize volume as an attribute of three-dimensional space. They understand that volume
can be measured by finding the total number of same-sized units of volume required to fill the space
without gaps or overlaps. They understand that a 1-unit by 1-unit by 1-unit cube is the standard
unit for measuring volume. They select appropriate units, strategies, and tools for solving problems
that involve estimating and measuring volume. They decompose three-dimensional shapes and find
volumes of right rectangular prisms by viewing them as decomposed into layers of arrays of cubes.
They measure necessary attributes of shapes in order to determine volumes to solve real-world and
mathematical problems.