Understanding Fractions: Grade 3 Math Test Answer Key – PDF Download

Grade 3 Fractions Test Answer Key: questions 1–5

Question 1: Shaded parts (2 points)

1. The bar has 6 equal parts and 5 are shaded: \(\frac{5}{6}\).
2. \(6 – 5 = 1\) part is not shaded: \(\frac{1}{6}\).

Scoring: 1 point for each correct fraction. Reversing the numerator and denominator earns no point.

Question 2: Equal parts (2 points)

1. Shape A is cut into fourths.
2. Shape B has 4 parts, but the parts are not all the same size. Fourths must be equal parts.

Scoring: 1 point for Shape A. 1 point for explaining that the parts of Shape B are not equal.

Question 3: Numerator and denominator (2 points)

1. The numerator, 5, tells that 5 parts are counted.
2. The denominator, 8, tells that the whole is cut into 8 equal parts.

Scoring: 1 point for each correct meaning. Saying only “top number” or “bottom number” earns no point.

Question 4: Unit fractions (2 points)

1. \(\frac{1}{3}\)
2. The numerator is 7, so 7 parts.

Scoring: 1 point for each correct answer.

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

The space from 0 to 1 has 6 equal parts.

1. P is 5 parts from 0: \(\frac{5}{6}\).
2. Each part is \(\frac{1}{6}\).

Scoring: 1 point for each correct fraction.

Grade 3 Fractions Test Answer Key: questions 6–10

Question 6: Plot two fractions (2 points)

Each part is \(\frac{1}{8}\). M is 3 steps from 0 and N is 7 steps from 0.

Scoring: 1 point for each correctly placed and labeled point.

Question 7: Shade the rectangle (2 points)

The rectangle has 8 equal parts.

1. Shade any 5 of the 8 parts (see the figure).
2. \(8 – 5 = 3\) parts are not shaded: \(\frac{3}{8}\).

Scoring: 1 point for shading exactly 5 of the 8 parts. 1 point for the fraction not shaded.

Question 8: Pie slices (2 points)

1. \(3 + 2 = 5\) slices are eaten: \(\frac{5}{8}\).
2. \(8 – 5 = 3\) slices are left: \(\frac{3}{8}\).

Scoring: 1 point for each correct fraction.

Question 9: Walking the trail (2 points)

Each part of the trail is \(\frac{1}{4}\) mile.

1. Jamal walks 3 parts: \(\frac{3}{4}\) mile.
2. \(4 – 3 = 1\) part is left: 1 part.

Scoring: 1 point for each correct answer.

Question 10: Ethan's claim (2 points)

1. No. The denominator is 4, so each part is not one third.
2. \(\frac{3}{4}\) means 3 parts, and each part has size \(\frac{1}{4}\).

Scoring: 1 point for saying he is not correct. 1 point for a sentence that names 3 parts of size \(\frac{1}{4}\).

Scoring summary

How to use this grade 3 fractions test answer key

Use this grade 3 fractions test answer key to score the test fairly and to see which skills need more practice.

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