Fractions as parts of shapes · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Fractions as parts of shapes

Mathematics · Fractions · ages 8-9
Name ______________________   Date ____________

  1. A rectangle is split into sixths. Mia shades all but one part. How many parts does she shade?

    Answer: ______________

  2. A shape is cut into 5 equal parts. What is one part called?

    • 1/4
    • 5/1
    • 1/5
    • 5/5

  3. A rectangle is cut into 6 equal-area parts. What fraction names one part?

    • 1/6
    • 6/1
    • 1/5

  4. A square can be cut into 4 equal-area parts in more than one way.

    Circle one:   True   False

  5. A square is cut into quarters. All but one part is shaded. How many parts are shaded?

    Answer: ______________

  6. A circle is already cut into equal-area parts. One part is labeled 1/5. How many equal parts is the whole circle cut into?

    Answer: ______________

  7. A rectangle is split into 6 equal parts. What label goes on each part?

    • 1/6
    • 6/1
    • 1/3
    • 6/6

  8. Lena partitions a rectangle into 6 equal-area parts and labels each 1/6. She says 6 parts of 1/6 remake the whole. Is Lena right?

    Circle one:   True   False

  9. Ben cuts a rectangle into 6 parts that are not all the same size, then labels every part 1/6. What is wrong?

    • Nothing, 6 parts always means each is 1/6
    • The parts must have equal area before each one can be called 1/6
    • He should have used 5 parts instead

  10. Which of these is NOT a unit fraction?

    • 1/6
    • 2/6
    • 1/4
    • 1/8
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Fractions as parts of shapes W1-mt_idbKDrf9qZ-s1

  1. 5 · Sixths means 6 parts, and 6 - 1 = 5 shaded.
  2. 1/5 · One of 5 equal parts is 1/5.
  3. 1/6 · There are 6 equal parts in all, so one part out of six is 1/6.
  4. True · You could cut it into 4 columns, 4 rows, or 4 triangles meeting in the middle. Each way still makes 4 equal parts.
  5. 3 · Quarters means 4 parts, and 4 - 1 = 3 shaded.
  6. 5 · The bottom number of the fraction tells you the total number of equal parts, which is 5.
  7. 1/6 · Each of 6 equal parts is 1/6. 6/6 is the whole.
  8. True · Lena is right: 6 sixths = 1 whole.
  9. The parts must have equal area before each one can be called 1/6 · A unit fraction like 1/6 only works when all 6 parts cover the same amount of area.
  10. 2/6 · 2/6 has a top of 2, so it is not a unit fraction.
Worksheet · LightMySky