5th Grade Converting Measurement Units Test Solutions and Scoring (PDF)

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
Question 1 – Customary conversions [2 pts]
- \(6\times3=18\), so 18 ft
- \(64\div16=4\), so 4 lb
Scoring: 1 point for each correct conversion with unit.
Question 2 – Metric conversions [2 pts]
- \(5\times1{,}000=5{,}000\), so 5,000 mL
- \(3{,}200\div1{,}000=3.2\), so 3.2 kg
Scoring: 1 point for each correct conversion with unit.
Question 3 – Cups in a tank [2 pts]
1 gal = 4 qt = 8 pt = 16 c. So \(3\times16=48\) cups.
48 cups
Scoring: 1 point for using 16 cups in a gallon (or the chain 4, 2, 2), 1 point for 48 cups.
Question 4 – Compare measurements [2 pts]
- \(5\text{ ft}=60\text{ in}\), and \(60>58\), so \(5\text{ ft}>58\text{ in}\)
- \(2\text{ kg}=2{,}000\text{ g}\), and \(2{,}000<2{,}500\), so \(2\text{ kg}<2{,}500\text{ g}\)
Scoring: 1 point for each correct comparison supported by a conversion.
Question 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.
3 ft 4 in
Scoring: 1 point for dividing by 12, 1 point for the answer 3 ft 4 in.
Question 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.
Question 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.
Question 8 – Milk for pancakes [3 pts]
- \(3\times4=12\) cups
- \(12\div2=6\) pints
- 12 cups = 3 quarts, so 3 cartons
Scoring: 1 point per part.
Question 9 – Pet food [3 pts]
- \(2\times16+4=36\) oz
- \(6\times5=30\) oz
- \(36-30=6\) oz
Scoring: 1 point per part.
20 points
All Grade 5 chapters: Grade 5 math.
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