This grade 5 conversions worksheet answer key solves all 22 problems of the converting units and line plots worksheet step by step.
Every solution shows the conversion factor and the operation. Check whether your answer makes sense: a larger unit needs fewer units, and a smaller unit needs more.
Grade 5 Conversions Worksheet Answer Key: problems 1–5
Problem 1: Feet to inches
One foot is 12 inches and feet are larger, so multiply: \(3 \times 12 = 36\).
Answer: \(36\text{ in}\).
Problem 2: Yards to feet
One yard is 3 feet, so multiply: \(7 \times 3 = 21\).
Answer: \(21\text{ ft}\).
Problem 3: Pounds to ounces
One pound is 16 ounces, so multiply: \(5 \times 16 = 80\).
Answer: \(80\text{ oz}\).
Problem 4: Gallons to quarts
One gallon is 4 quarts, so multiply: \(6 \times 4 = 24\).
Answer: \(24\text{ qt}\).
Problem 5: Meters to centimeters
One meter is 100 centimeters, so multiply: \(4 \times 100 = 400\).
Answer: \(400\text{ cm}\).
Grade 5 Conversions Worksheet Answer Key: problems 6–10
Problem 6: Kilograms to grams
One kilogram is 1,000 grams, so multiply: \(2.5 \times 1{,}000 = 2{,}500\).
Answer: \(2{,}500\text{ g}\).
Problem 7: Inches to feet
Inches are smaller than feet, so divide by 12: \(60 : 12 = 5\).
Answer: \(5\text{ ft}\).
Problem 8: Ounces to pounds
Ounces are smaller than pounds, so divide by 16: \(48 : 16 = 3\).
Answer: \(3\text{ lb}\).
Problem 9: Cups to quarts
One quart is 2 pints, and each pint is 2 cups, so one quart is 4 cups. Cups are smaller, so divide: \(20 : 4 = 5\).
Answer: \(5\text{ qt}\).
Problem 10: Millimeters to centimeters
One centimeter is 10 millimeters, so divide: \(450 : 10 = 45\).
Answer: \(45\text{ cm}\).
Grade 5 Conversions Worksheet Answer Key: problems 11–15
Problem 11: Milliliters to liters
One liter is 1,000 milliliters, so divide: \(3{,}500 : 1{,}000 = 3.5\).
Answer: \(3.5\text{ L}\).
Problem 12: Minutes to hours
One hour is 60 minutes, so divide: \(150 : 60 = 2.5\). Since \(0.5\) hour is 30 minutes, this is also 2 hours 30 minutes.
Answer: \(2.5\text{ h}\) or 2 h 30 min.
Problem 13: Complete the table
Yards to feet: multiply by 3. Feet to inches: multiply by 12 (or yards by 36).
\(2 \times 3 = 6\) and \(6 \times 12 = 72\). \(4 \times 3 = 12\) and \(12 \times 12 = 144\).
Answer: 2 yd = 6 ft = 72 in; 4 yd = 12 ft = 144 in.
Problem 14: Compare lengths
Change feet to inches: \(5 \times 12 = 60\). Since \(62 > 60\), the second board is longer.
Answer: the \(62\text{ in}\) board is longer than the \(5\text{ ft}\) board.
Problem 15: Counting on a line plot
Count the X marks above \(\frac{3}{4}\): there are 4. Shorter than \(\frac{3}{4}\) means \(\frac{1}{4}\) (2 marks) and \(\frac{1}{2}\) (3 marks): \(2 + 3 = 5\).
Answer: 4 leaves are exactly 3/4 inch; 5 leaves are shorter.
Grade 5 Conversions Worksheet Answer Key: problems 16–20
Problem 16: Range of rainfall
The greatest amount is \(\frac{7}{8}\) inch and the least is \(\frac{1}{8}\) inch.
\(\frac{7}{8} – \frac{1}{8} = \frac{6}{8} = \frac{3}{4}\).
Answer: \(\frac{3}{4}\text{ in}\).
Problem 17: Two ribbons
First ribbon: \(3 \times 12 + 8 = 44\) in. Second ribbon: \(2 \times 12 + 7 = 31\) in.
Total: \(44 + 31 = 75\) in. Then \(75 : 12 = 6\) with remainder 3.
Answer: 75 in, which is 6 ft 3 in.
Problem 18: Lemonade stand
A gallon is 16 cups, so the cooler holds \(3 \times 16 = 48\) cups.
Left over: \(48 – 35 = 13\).
Answer: 13 cups.
Problem 19: Trail mix bags
Write every weight in eighths and add: \(\frac{1}{8} + \frac{2}{8} + \frac{2}{8} + \frac{3}{8} + \frac{3}{8} + \frac{4}{8} + \frac{4}{8} + \frac{5}{8} = \frac{24}{8} = 3\) pounds.
Equal share: \(3 : 8 = \frac{3}{8}\) pound.
Answer: 3 lb in all; \(\frac{3}{8}\text{ lb}\) per bag.
Problem 20: Hiking trail
The trail is \(2.5 \times 5{,}280 = 13{,}200\) feet long.
Feet left: \(13{,}200 – 9{,}240 = 3{,}960\).
In miles: \(3{,}960 : 5{,}280 = 0.75\).
Answer: 3,960 ft, which is 0.75 mi.
Grade 5 Conversions Worksheet Answer Key: problems 21–22
Problem 21: Water bottles
Total water: \(3 \times 750 = 2{,}250\) mL. The jug holds \(2 \times 1{,}000 = 2{,}000\) mL.
\(2{,}250 – 2{,}000 = 250\), so the water is 250 mL too much.
Answer: No; 250 mL (0.25 L) would not fit.
Problem 22: Pancake milk
Milk needed: \(6 \times 3 = 18\) cups. One quart is 4 cups, so \(18 : 4 = 4.5\) cartons.
He cannot buy half a carton, so he buys 5 cartons. They hold \(5 \times 4 = 20\) cups, and \(20 – 18 = 2\) cups are left.
Answer: 5 cartons, with 2 cups left over.
How to use this grade 5 conversions worksheet answer key
Read this grade 5 conversions worksheet answer key after trying each problem yourself, and redo any problem you missed.
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Grade 5 Converting Units and Line Plots worksheet answer key
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