3rd Grade Understanding Fractions Test with Point Values (PDF)
This fractions test for 3rd Grade covers understanding fractions (Common Core 3.NF.A.1, 3.NF.A.2), with a free PDF to print.
This test has 9 questions worth 20 points in all. It covers unit fractions, fractions of a whole, and fractions on a number line (3.NF.A.1, 3.NF.A.2). Work in pencil, show your marks on the models, and plan about 45 minutes.
Time and points
- Grade: Grade 3
- Chapter: Understanding Fractions
- Standards: 3.NF.A.1, 3.NF.A.2
- Time: 45 minutes
- Total: 20 points
Fractions test: questions
Question 1 – Read the model [3 pts]
- What fraction of the bar is shaded? (1 point)
- What fraction of the bar is not shaded? (1 point)
- Write the unit fraction that names one part. (1 point)
Question 2 – Shade the circle [2 pts]
- Shade \(\frac{4}{6}\) of the circle. (1 point)
- How many copies of \(\frac{1}{6}\) did you shade? (1 point)
Question 3 – Equal parts [2 pts]
- Which rectangle is cut into fourths? (1 point)
- Explain why the other rectangle does not show fourths. (1 point)
Question 4 – Copies of a unit fraction [2 pts]
- The fraction \(\frac{7}{8}\) is 7 copies of which unit fraction? (1 point)
- Write the fraction for 3 copies of \(\frac{1}{4}\). (1 point)
Question 5 – Points on a number line [3 pts]
- What fraction does point A show? (1 point)
- What fraction does point B show? (1 point)
- Mark and label point C at \(\frac{1}{6}\). (1 point)
Question 6 – Garden sections [2 pts]
Aisha’s flower bed is split into 8 equal sections. She plants roses in 3 sections and daisies in 4 sections. One section stays empty.
- What fraction of the bed has roses? (1 point)
- What fraction of the bed has flowers? (1 point)
Question 7 – Find the mistake [2 pts]
Jamal shades 3 of 4 equal parts of a bar and writes \(\frac{4}{3}\). Explain his mistake and write the correct fraction.
Question 8 – Steps on a number line [2 pts]
Mei starts at 0 and takes 3 steps. Each step is \(\frac{1}{6}\) long.
- Mark where she lands. (1 point)
- Write the fraction for that point. (1 point)
Question 9 – Rope pieces [2 pts]
A rope is cut into 6 equal pieces. Mei uses 1 piece, Priya uses 2 pieces, and Noah uses 2 pieces.
- What fraction of the rope do they use in all? (1 point)
- What fraction of the rope is left? (1 point)
Key facts behind this fractions test
- A fraction describes equal parts of one whole.
- The denominator (bottom) counts the equal parts in the whole; the numerator (top) counts the parts named.
- A unit fraction has numerator 1 and shows one equal part, such as 1/8.
- The fraction a/b is a copies of the unit fraction 1/b.
- On a number line from 0 to 1, a/b is the point reached after a hops of length 1/b.
How to use this fractions test
Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.
All Grade 3 chapters: Grade 3 math.
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