Testinar Grade 5 math

Solving Multi-Step Problems with Conversions

Students will solve multi-step measurement problems that require conversions.

CH08-02 Measurement and Data
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. % Q1: Customary length conversion (yards to feet) A ribbon is \(5\) yards long. How many feet long is the ribbon?
    Use: 1 yard = 3 feet

    Converting Customary Units visual for G5-C06-T01-Q001
    1. 8 feet
    2. 12 feet
    3. 15 feet
    4. 60 feet

  2. % Q2: Easy, direct conversion. LENGTH: inches to feet. How many feet are in 36 inches?

    Converting Customary Units visual for G5-C06-T01-Q002
    1. 2 feet
    2. 6 feet
    3. 4 feet
    4. 3 feet

  3. % Q3: Easy, direct conversion. LENGTH: feet to inches. How many inches are in 5 feet?

    Converting Customary Units visual for G5-C06-T01-Q003
    1. 50 inches
    2. 60 inches
    3. 70 inches
    4. 80 inches

  4. % Q4 REVISED: Capacity with fractional cups converted to fluid ounces. A recipe uses \(1\frac{1}{2}\) cups of milk and \(\frac{1}{2}\) cup of water. How many fluid ounces of liquid is that in all? Use: 1 cup = 8 fl oz

    Converting Customary Units visual for G5-C06-T01-Q004
    1. 8 fl oz
    2. 12 fl oz
    3. 16 fl oz
    4. 20 fl oz

  5. % Q5: Visual. LENGTH ruler with inch marks. Which measurement is shown on the ruler?

    Converting Customary Units visual for G5-C06-T01-Q005
    1. \(2\frac{1}{2}\) inches
    2. \(2\) inches
    3. \(3\) inches
    4. \(2\frac{1}{4}\) inches

  6. % Q6: Easy, direct conversion. CAPACITY: pints to cups. How many cups are in 4 pints?

    Converting Customary Units visual for G5-C06-T01-Q006
    1. 4 cups
    2. 6 cups
    3. 8 cups
    4. 10 cups

  7. Maria has a ribbon that is 4 feet long. She wants to cut it into 12-inch pieces. How many pieces can she make?

    1. 2 pieces
    2. 3 pieces
    3. 4 pieces
    4. 5 pieces

  8. % Q9: Easy, direct. CAPACITY: quarts to pints. How many pints are in 3 quarts?

    1. 3 pints
    2. 4 pints
    3. 8 pints
    4. 6 pints
Teacher and parent reference

Answer key and explanations

  1. C. 15 feet

    To convert yards to feet, multiply by 3: \(5 \text{ yd} \times 3 \text{ ft/yd} = 15\) feet.

  2. D. 3 feet

    Since 12 inches = 1 foot, divide 36 by 12: \(36 \div 12 = 3\) feet.

  3. B. 60 inches

    Since 12 inches = 1 foot, multiply 5 by 12: \(5 \times 12 = 60\) inches.

  4. C. 16 fl oz

    First add the liquid amounts: \(1\frac{1}{2}+\frac{1}{2}=2\) cups. Since 1 cup is 8 fl oz, \(2\times 8=16\) fl oz.

  5. A. \(2\frac{1}{2}\) inches

    The shaded bar extends from 0 to 2.5, which is \(2\frac{1}{2}\) inches.

  6. C. 8 cups

    Since 2 cups = 1 pint, multiply 4 by 2: \(4 \times 2 = 8\) cups.

  7. C. 4 pieces

    Convert 4 feet to inches: \(4 \times 12 = 48\) inches. Divide by 12-inch pieces: \(48 \div 12 = 4\) pieces.

  8. D. 6 pints

    Since 2 pints = 1 quart, multiply 3 by 2: \(3 \times 2 = 6\) pints.

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