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Equivalent Fractions with Shapes Worksheet Test

Instructions: In this test, you will be asked to identify equivalent fractions using visual representations of shapes. Read each question carefully and select the answer that represents the equivalent fraction for the given shape.

Part 1: Identifying Equivalent Fractions

  1. What is the equivalent fraction for the shaded part of the shape below?
      +---+
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      |   |
      +---+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +-------+
      |       |
      |       |
      |       |
      +-------+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +---+
      |   |
      |   |
      |   |
      +---+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +---+
      |   |
      +---+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +---+
      |   |
      |   |
      +---+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +---+
      |   |
      +---+
      |   |
      +---+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +---+
      |   |
      +---+
      |   |
      +---+
      |   |
      +---+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +--------+
      |        |
      |        |
      +--------+
      |        |
      |        |
      +--------+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +--------+
      |        |
      +--------+
      |        |
      +--------+
      |        |
      +--------+
  1. What is the equivalent fraction for the shaded part of the shape below?
      +--------+
      |        |
      +--------+
      |        |
      +--------+

Part 2: Matching Equivalent Fractions

Match the equivalent fractions in the table below.

Equivalent Fractions
2/4 = ?/10
3/6 = ?/12
4/8 = ?/16
?/9 = 2/6
?/8 = 3/12

Part 3: True or False

Determine whether the following statements are true or false.

  1. Two fractions are equivalent if they represent the same amount.
  2. Equivalent fractions are always written with the same numbers.
  3. Equivalent fractions have the same numerator and denominator.
  4. To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same number.
  5. Two fractions that have different denominators cannot be equivalent.

Part 4: Word Problems

Solve the following word problems.

  1. Aliyah has 6/10 of a pizza left over. She wants to share it equally with her 3 friends. What fraction of the pizza will each of her friends get?
  2. Sarah has 3/4 of a cup of sugar. She needs 1/2 of a cup of sugar to make cookies. How much sugar does she have left after making the cookies?
  3. A recipe calls for 2/3 of a cup of flour. If you want to make half the recipe, how much flour will you need?
  4. John has 5/8 of a pizza. His friend has 2/3 of a pizza. Who has more pizza?
  5. A cake recipe calls for 1/4 of a cup of sugar. If you want to make 4 times the recipe, how much sugar will you need?

Part 5: Bonus Question

What is the equivalent fraction for the shaded part of the shape below?

      +---+
      |   |
      |   |
      +---+
      |   |
      |   |
      +---+

End of Test. Good luck!