NDSA Grade 5 Measurement and Data. Practice it free.

Converts units and represents data, while developing volume concepts. This Grade 5 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 55.MD2 mapped skills
What the test measures

Measurement and Data skills

  1. Convert among different-sized standard measurement units within a given measurement system and solve multi-step word problems.

  2. Make a line plot to display a data set of measurements in fractions of a unit and use operations on fractions to solve problems involving information presented in line plots.

  3. Recognize volume as an attribute of solid figures and measure volume by counting unit cubes.

  4. Relate volume to the operations of multiplication and addition and solve volume word problems.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.

Blueprint & weighting

An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Four beakers hold 12\tfrac{1}{2}, 12\tfrac{1}{2}, 14\tfrac{1}{4}, and 34\tfrac{3}{4} liters. If the liquid is shared equally among the 4 beakers, how much is in each?

Total =12+12+14+34=2= \tfrac12+\tfrac12+\tfrac14+\tfrac34 = 2 liters. Shared among 4: 2÷4=122 \div 4 = \tfrac12.

Practice playeasy

Find the volume of a rectangular prism with l=8l = 8, w=1w = 1, h=1h = 1.

Apply V=lwhV = l \cdot w \cdot h: 811=88 \cdot 1 \cdot 1 = 8.

Practice playeasy

A line plot shows the lengths of ribbons in inches: 3 ribbons at 18\tfrac{1}{8} and 1 ribbon at 58\tfrac{5}{8}. What is the total length of ribbon?

3×18+58=38+58=88=13 \times \tfrac{1}{8} + \tfrac{5}{8} = \tfrac{3}{8} + \tfrac{5}{8} = \tfrac{8}{8} = 1 inch.

Practice playeasy

A rectangular box is 99 m long, 22 m wide, and 1010 m tall. Find its volume.

Volume =lwh=9210=180= l \cdot w \cdot h = 9 \cdot 2 \cdot 10 = 180 cubic m.

Practice playeasy

A line plot (in cups) shows 2 at 14\tfrac{1}{4}, 1 at 12\tfrac{1}{2}, 1 at 34\tfrac{3}{4}. What is the total amount of liquid?

Multiply each value by its count, then add: total =74= \tfrac{7}{4}.

Practice playeasy

A rectangular box is 44 m long, 1010 m wide, and 22 m tall. Find its volume.

Volume =lwh=4102=80= l \cdot w \cdot h = 4 \cdot 10 \cdot 2 = 80 cubic m.

Practice playeasy

A line plot (in cups) shows 3 at 12\tfrac{1}{2}, 1 at 14\tfrac{1}{4}. What is the total amount of liquid?

Multiply each value by its count, then add: total =74= \tfrac{7}{4}.

Practice playeasy

A rectangular box is 88 in long, 22 in wide, and 88 in tall. Find its volume.

Volume =lwh=828=128= l \cdot w \cdot h = 8 \cdot 2 \cdot 8 = 128 cubic in.

Keep practicing

Turn measurement and data into game time.

The NDSA placement starts with this test's real coverage map and finds the right difficulty.