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Understanding Fractions: Grade 3 Math Test – PDF Download

    Understanding Fractions – Grade 3 math test

    This grade 3 fractions test checks understanding fractions in 45 minutes, with 10 questions for a total of 20 points.

    This test checks understanding of unit fractions, numerators and denominators, and fractions on a number line. It has 10 questions worth 20 points in all. Work carefully, and write each fraction with the numerator on top.

    Test information
    • Grade: Grade 3
    • Chapter: Understanding Fractions
    • Common Core: 3.NF.A.1, 3.NF.A.2
    • Time: 30 minutes
    • Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 2 pts; Question 8: 2 pts; Question 9: 2 pts; Question 10: 2 pts)

    Grade 3 Fractions Test: questions 1–5

    Question 1: Shaded parts (2 points)

    The bar is cut into equal parts.

    A bar cut into equal parts.
    1. Write the fraction of the bar that is shaded. (1 point)
    2. Write the fraction of the bar that is not shaded. (1 point)

    Question 2: Equal parts (2 points)

    Look at the two shapes.

    Shape AShape B
    Two shapes, each cut into 4 parts.
    1. Which shape is cut into fourths? (1 point)
    2. Explain why the other shape is not cut into fourths. (1 point)

    Question 3: Numerator and denominator (2 points)

    Look at the fraction \(\frac{5}{8}\).

    1. What does the numerator tell? (1 point)
    2. What does the denominator tell? (1 point)

    Question 4: Unit fractions (2 points)

    1. A whole is cut into 3 equal parts. Write the unit fraction that names one part. (1 point)
    2. The fraction \(\frac{7}{8}\) is made of how many parts of size \(\frac{1}{8}\)? (1 point)

    Question 5: Point on a number line (2 points)

    The number line from 0 to 1 is cut into equal parts.

    01P
    Point P on a number line.
    1. Write the fraction that names point P. (1 point)
    2. Write the fraction that names the length of each part. (1 point)

    Grade 3 Fractions Test: questions 6–10

    Question 6: Plot two fractions (2 points)

    Plot and label point M at \(\frac{3}{8}\) and point N at \(\frac{7}{8}\) on the number line.

    01
    A number line from 0 to 1 cut into 8 equal parts.

    Question 7: Shade the rectangle (2 points)

    The rectangle is cut into equal parts.

    A rectangle cut into equal parts.
    1. Shade \(\frac{5}{8}\) of the rectangle. (1 point)
    2. Write the fraction of the rectangle that is not shaded. (1 point)

    Question 8: Pie slices (2 points)

    A pie is cut into 8 equal slices. Aisha eats 3 slices. Diego eats 2 slices.

    1. What fraction of the pie do Aisha and Diego eat together? (1 point)
    2. What fraction of the pie is left? (1 point)

    Question 9: Walking the trail (2 points)

    A trail is 1 mile long. Markers cut the trail into 4 equal parts. Jamal walks from the start to the third marker.

    1. What fraction of a mile does Jamal walk? (1 point)
    2. How many more parts of size \(\frac{1}{4}\) mile are left to reach the end of the trail? (1 point)

    Question 10: Ethan's claim (2 points)

    Ethan says, “The fraction \(\frac{3}{4}\) means 3 parts, and each part has size \(\frac{1}{3}\).”

    1. Is Ethan correct? (1 point)
    2. Write a correct sentence that tells what \(\frac{3}{4}\) means. (1 point)

    Understanding Fractions: Grade 3 test answer key

    How to use this grade 3 fractions test

    Take this grade 3 fractions test without notes, then grade it with the test answer key out of 20 points.

    Next step after this grade 3 fractions test: Understanding Fractions test answer key

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