Grade 5 NY State Math Test Guide

Grade 5 calculator and tools

• Calculators are prohibited in Grades 3-5 and Grade 6 Session 1.
• Ruler and protractor in both sessions
• Grade-specific mathematics reference sheet in both sessions
• Equivalent CBT tools

Grade 5 test forms and windows

Grade 5 New York Math Test

Annual spring assessment administered in two sessions on two consecutive locally selected school days. 2027-04-05 through 2027-05-14. Schools select two consecutive days; the whole grade tests on the same selected two days.

• Session 1: 30 visible questions
• Session 2: 14 visible questions

Grade 5 reporting categories

Geometry

2–7% of the published blueprint. Eligible codes: NY-5.G.3, NY-5.G.4.

Measurement and Data

22–32% of the published blueprint. Eligible codes: NY-4.MD.1, NY-4.MD.2a, NY-4.MD.2b, NY-5.MD.1, NY-5.MD.2, NY-5.MD.3a, NY-5.MD.3b, NY-5.MD.4, NY-5.MD.5a, NY-5.MD.5b, NY-5.MD.5c.

Number and Operations in Base Ten

25–35% of the published blueprint. Eligible codes: NY-5.NBT.1, NY-5.NBT.2, NY-5.NBT.3a, NY-5.NBT.3b, NY-5.NBT.4, NY-5.NBT.5, NY-5.NBT.6, NY-5.NBT.7.

Number and Operations—Fractions

34–44% of the published blueprint. Eligible codes: NY-4.NF.5, NY-4.NF.6, NY-4.NF.7, NY-5.NF.1, NY-5.NF.2, NY-5.NF.3, NY-5.NF.4a, NY-5.NF.4b, NY-5.NF.5a, NY-5.NF.5b, NY-5.NF.6, NY-5.NF.7a, NY-5.NF.7b, NY-5.NF.7c.

Official response formats

single choice, numeric or short entry, constructed response.

Standards eligible for current Grade 5 forms

• NY-4.MD.1: Know relative sizes of measurement units: ft., in.; km, m, cm
• NY-4.MD.2a: Solve problems involving fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit.
• NY-4.MD.2b: Represent measurement quantities using diagrams that feature a measurement scale, such as number lines.
• NY-4.NF.5: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
• NY-4.NF.6: Use decimal notation for fractions with denominators 10 or 100.
• NY-4.NF.7: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
• NY-5.G.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
• NY-5.G.4: Classify two-dimensional figures in a hierarchy based on properties.
• NY-5.MD.1: Convert among different-sized standard measurement units within a given measurement system when the conversion factor is given. Use these conversions in solving multi-step, real world problems.
• NY-5.MD.2: Make a line plot to display a data set of measurements in fractions of a unit � 1 2 , 1 4 , 1 8�. Use operations on fractions for this grade to solve problems involving information presented in line plots.
• NY-5.MD.3a: Recognize that a cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.
• NY-5.MD.3b: Recognize that a solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
• NY-5.MD.4: Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units.
• NY-5.MD.5a: Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base.
• NY-5.MD.5b: Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
• NY-5.MD.5c: Recognize volume as additive. Find volumes of solid figures composed of two non- overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
• NY-5.NBT.1: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1 10 of what it represents in the place to its left.
• NY-5.NBT.2: Use whole-number exponents to denote powers of 10. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
• NY-5.NBT.3a: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
• NY-5.NBT.3b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
• NY-5.NBT.4: Use place value understanding to round decimals to any place.
• NY-5.NBT.5: Fluently multiply multi-digit whole numbers using a standard algorithm.
• NY-5.NBT.6: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
• NY-5.NBT.7: Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between operations:
• NY-5.NF.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
• NY-5.NF.2: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.
• NY-5.NF.3: Interpret a fraction as division of the numerator by the denominator ( 𝑎𝑎 𝑏𝑏 = a ÷ b).
• NY-5.NF.4a: Interpret the product 𝑎𝑎 𝑏𝑏 × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.
• NY-5.NF.4b: Find the area of a rectangle with fractional side lengths by tiling it with rectangles of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
• NY-5.NF.5a: Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
• NY-5.NF.5b: Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case). Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Relate the principle of fraction equivalence 𝑎𝑎 𝑏𝑏 = 𝑎𝑎 𝑏𝑏 × 𝑛𝑛 𝑛𝑛 to the effect of multiplying 𝑎𝑎 𝑏𝑏 by 1.
• NY-5.NF.6: Solve real world problems involving multiplication of fractions and mixed numbers.
• NY-5.NF.7a: Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.
• NY-5.NF.7b: Interpret division of a whole number by a unit fraction, and compute such quotients.
• NY-5.NF.7c: Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions.