Decomposing a shape into more equal shares · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

More equal shares, smaller pieces

Mathematics · Fractions · ages 6-7
Name ______________________   Date ____________

  1. The picture shows one fourth of a circle. Is one fourth bigger or smaller than one half of the same size circle?

    • Bigger
    • Smaller
    • The same size

  2. Which is smaller: a half or a quarter of the same bar?

    • quarter
    • half
    • they match
    • it varies

  3. A pizza is cut into 4 equal fourths. You eat 1. How many fourths are left?

    Answer: ______________

  4. The picture shows one half of a circle. Which is bigger, this half, or a fourth of the same size circle?

    • This half
    • A fourth
    • They are the same size

  5. Fourths are smaller pieces than halves of the same shape. Is that right?

    Circle one:   True   False

  6. Two quarters put together make ...?

    • a fourth
    • a half
    • a whole
    • a third

  7. A shape is split into 2 halves and you shade 1. How many halves are unshaded?

    Answer: ______________

  8. The picture shows one half of a bar. If you shaded one fourth of the very same size bar instead, would that shaded piece take up more space or less space?

    • Less space
    • More space
    • The same space

  9. Noah cuts a rectangle into 2 equal pieces and colors one half. His friend cuts the very same size rectangle into 4 equal pieces and colors one fourth. Whose colored piece is bigger?

    • His friend's piece, because fourths sounds like a bigger number
    • Noah's piece, because his rectangle is cut into fewer pieces
    • They are exactly the same size

  10. One quarter is bigger than one half. Is that right?

    Circle one:   True   False

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Answer key

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

More equal shares, smaller pieces W1-mt_hyvHv2BCwb-s1

  1. Smaller · A fourth comes from cutting the circle into 4 pieces instead of 2, so it is smaller than a half.
  2. quarter · Four parts are smaller than two parts.
  3. 3 · 4 - 1 = 3.
  4. This half · The half shown here is one of only two pieces, so it is a big piece. A fourth would be one of four pieces, which is smaller.
  5. True · Right: cutting more gives smaller pieces.
  6. a half · 2 of 4 parts is half the shape.
  7. 1 · 2 - 1 = 1.
  8. Less space · A fourth piece is smaller than a half piece, because the bar gets cut into more equal parts.
  9. Noah's piece, because his rectangle is cut into fewer pieces · Noah cut his rectangle into only 2 pieces, so each piece is big. His friend cut the same size rectangle into 4 pieces, so each piece is smaller.
  10. False · Wrong: a quarter is smaller than a half.
Worksheet · LightMySky