3rd Grade Understanding Fractions Test Solutions and Scoring (PDF)

1. \(\frac{5}{8}\)
2. \(\frac{3}{8}\)
3. \(\frac{1}{8}\)

Scoring: 1 point for each correct fraction. In part (b), 3 of the 8 parts are not shaded.

1. Any 4 of the 6 parts are shaded.
2. 4 copies.

Scoring: 1 point for shading exactly 4 parts, 1 point for the answer 4.

1. Rectangle A.
2. Rectangle B has only 3 parts, and they are not the same size.

Scoring: 1 point for A. 1 point for a reason that says the parts are not equal (or that B has 3 parts).

1. \(\frac{1}{8}\)
2. \(\frac{3}{4}\)

Scoring: 1 point per correct answer.

1. \(\frac{2}{6}\)
2. \(\frac{5}{6}\)
3. C is at the first tick mark after 0.

Scoring: 1 point for each part. For (c) the point must be at the first tick mark.

1. \(\frac{3}{8}\)
2. 3 + 4 = 7 sections: \(\frac{7}{8}\)

Scoring: 1 point per part.

He swapped the numbers. The denominator must be the number of equal parts in the whole (4), and the numerator is the shaded parts (3).

Correct fraction: \(\frac{3}{4}\)

Scoring: 1 point for the explanation, 1 point for the correct fraction.

1. The third tick mark after 0.
2. \(\frac{3}{6}\)

Scoring: 1 point for the mark at the third tick, 1 point for the fraction.

1. 1 + 2 + 2 = 5 pieces: \(\frac{5}{6}\)
2. 6 – 5 = 1 piece: \(\frac{1}{6}\)

Scoring: 1 point per part.