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

5th Grade math test solutions: Converting Measurement Units – Maths 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]

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

Scoring: 1 point for each correct conversion with unit.

Question 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.

Question 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.

Question 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.

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.

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 – 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]

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

Scoring: 1 point per part.

Question 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

20 points

All Grade 5 chapters: Grade 5 math.

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