Halves, quarters, thirds, fourths (partitioning) Knowledge-Based Download PDF

Questions

1. 1.

   A strip of paper is partitioned into two equal shares, and each of those shares is then partitioned into two equal parts. Into how many total equal parts is the original strip partitioned, and what is each part called?

   • A) 4 equal parts, and each part is called a fourth
   • B) 4 equal parts, and each part is called a third
   • C) 3 equal parts, and each part is called a third
   • D) 2 equal parts, and each part is called a half
2. 2.

   Two identical rectangles are partitioned into equal shares, one into thirds and the other into fourths. Which statement correctly compares the size of one third to the size of one fourth?

   • A) One third is larger than one fourth because dividing an identical whole into fewer equal shares makes each share larger.
   • B) One fourth is larger than one third because the number four is greater than the number three.
   • C) One third and one fourth are equal in size because both rectangles have the same total size.
   • D) One fourth is larger than one third because having more parts increases the size of each part.
3. 3.

   A rectangular strip of paper is partitioned into four equal shares. How many of these fourths are equal in size to one half of the strip?

   • A) 1 fourth
   • B) 2 fourths
   • C) 3 fourths
   • D) 4 fourths
4. 4.

   A circular disc is partitioned into three equal shares. Which statement correctly describes each share and the total number of shares that make the whole disc?

   • A) Each share is one-half, and two shares make the whole disc.
   • B) Each share is one-fourth, and four shares make the whole disc.
   • C) Each share is one-third, and two shares make the whole disc.
   • D) Each share is one-third, and three shares make the whole disc.
5. 5.

   A paper square is partitioned into 4 equal parts. If 1 part is colored red and 2 parts are colored blue, what fraction of the paper square is not colored?

   • A) $\frac{1}{4}$
   • B) $\frac{3}{4}$
   • C) $\frac{1}{3}$
   • D) $\frac{1}{2}$