5th Grade Converting Measurement Units Test Answer Key and Scoring Guide (PDF)

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This 5th grade measurement conversions test answer key covers converting measurement units (Common Core 5.MD.A.1), with a free PDF to print.

Key takeaway: This answer key helps fifth grade students see how each point on the measurement test was earned.

  • Topic: Converting Measurement Units (5th grade)
  • Content: Worked solutions and a scoring guide for 9 questions
  • Standards: 5.MD.A.1
  • Answers: Every step shown, with the method to review
  • Format: Free printable PDF, US Letter, black and white

This answer key helps fifth grade students see how each point on the measurement test was earned. Also, it gives complete solutions to all nine questions, with the conversion fact, the arithmetic, and the final answer with its unit.

Question 3 uses gallons, quarts, and cups in a chain, question 4 compares measurements after converting, question 7 adds a bike ride in miles and feet, and question 8 scales a recipe. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Then, write each conversion fact beside the work.

Use this key to score the test out of 20 points. Each answer shows the conversion and a scoring guide. Give partial credit when the method is correct but one arithmetic step is wrong.

Grade 5 · Common Core State Standards: 5.MD.A.1

5th grade measurement conversions test answer key: worked solutions

1 – Customary conversions [2 pts]

  1. \(6\times3=18\), so 18 ft
  2. \(64\div16=4\), so 4 lb

Scoring: 1 point for each correct conversion with unit.

2 – Metric conversions [2 pts]

  1. \(5\times1{,}000=5{,}000\), so 5,000 mL
  2. \(3{,}200\div1{,}000=3.2\), so 3.2 kg

Scoring: 1 point for each correct conversion with unit.

3 – Cups in a tank [2 pts]

1 gal = 4 qt = 8 pt = 16 c. So \(3\times16=48\) cups.

1 gallon = 4 quarts1 quart1 pint1c1c1 pint1c1c1 quart1 pint1c1c1 pint1c1c1 quart1 pint1c1c1 pint1c1c1 quart1 pint1c1c1 pint1c1c
1 gallon = 4 quarts = 8 pints = 16 cups.

48 cups

Scoring: 1 point for using 16 cups in a gallon (or the chain 4, 2, 2), 1 point for 48 cups.

4 – Compare measurements [2 pts]

  1. \(5\text{ ft}=60\text{ in}\), and \(60>58\), so \(5\text{ ft}>58\text{ in}\)
  2. \(2\text{ kg}=2{,}000\text{ g}\), and \(2{,}000<2{,}500\), so \(2\text{ kg}<2{,}500\text{ g}\)

Scoring: 1 point for each correct comparison supported by a conversion.

5 – Ribbon length [2 pts]

Each foot is 12 in. \(40\div12=3\) with a remainder of 4. So 3 feet use 36 inches and 4 inches are left.

12 in12 in12 in440 in
40 in = 3 ft 4 in.

3 ft 4 in

Scoring: 1 point for dividing by 12, 1 point for the answer 3 ft 4 in.

Question 6 and after

6 – Bananas at the market [2 pts]

2.5 kg = \(2.5\times1{,}000=2{,}500\) g. Then \(2{,}500-750=1{,}750\).

1,750 g

Scoring: 1 point for converting kilograms to grams, 1 point for subtracting correctly.

7 – Bike ride [2 pts]

7,920 ft = \(7{,}920\div5{,}280=1.5\) mi. Total: \(3+1.5=4.5\) mi.

4.5 miles

Scoring: 1 point for converting feet to miles, 1 point for the total.

8 – Milk for pancakes [3 pts]

  1. \(3\times4=12\) cups
  2. \(12\div2=6\) pints
  3. 12 cups = 3 quarts, so 3 cartons

Also, Scoring: 1 point per part.

9 – Pet food [3 pts]

  1. \(2\times16+4=36\) oz
  2. \(6\times5=30\) oz
  3. \(36-30=6\) oz

Scoring: 1 point per part.

Total score

Total

20 points

Key facts behind this 5th grade measurement conversions test answer key

Key facts
  • Customary length: 12 in = 1 ft, 3 ft = 1 yd, 5,280 ft = 1 mi.
  • Customary capacity: 2 c = 1 pt, 2 pt = 1 qt, 4 qt = 1 gal.
  • Weight: 16 oz = 1 lb and 2,000 lb = 1 ton.
  • Metric units use powers of 10: 100 cm = 1 m, 1,000 m = 1 km, 1,000 mL = 1 L.
  • Convert to the same unit first when a problem has several steps.

Common mistakes with this 5th grade measurement conversions test answer key

  • Students give a correct number with a wrong unit. Instead, check units in the key. Slow down at that step and check it twice.
  • Students skip the chain in question 3. Gallons become quarts, then cups. Slow down at that step and check it twice.
  • Students compare without converting in question 4. The key converts first. Slow down at that step and check it twice.
  • Students leave out part of question 9. Also, each part has its own point. Slow down at that step and check it twice.

How to learn from your test

  • Sort lost points into conversion facts, arithmetic, and stories. Practice the weakest group first. Repeat this habit on every problem for the best results.
  • Redo question 6 with different amounts. Then, new numbers show whether you understand the steps. Repeat this habit on every problem for the best results.
  • Teachers can ask students to explain one conversion chain aloud. Repeat this habit on every problem for the best results.

Download the 5th grade measurement conversions test answer key as a PDF with the button below and keep it with your notes.

5th grade measurement conversions test answer key: frequently asked questions

How many cups are in the cooler in question 3?

Three gallons is 12 quarts, and 12 quarts is 24 pints, which is 48 cups. So, the cooler holds 48 cups of water. A quick check like this takes only a few seconds and prevents most errors.

How do I compare in question 4?

Five feet is 60 inches, which is greater than 58 inches. Also, two kilograms is 2,000 grams, which is less than 2,500 grams. Convert to the same unit first. A quick check like this takes only a few seconds and prevents most errors.

How many miles does Priya ride in question 7?

Seven thousand nine hundred twenty feet divided by 5,280 is 1 and 1 half miles. So, adding the 3 miles gives 4 and 1 half miles. A quick check like this takes only a few seconds and prevents most errors.

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