 Date: May 14, 2023   # Worksheet Test

Answer all of the following questions.

## Part 1: Identifying Fractions

1. What fraction of the square is shaded?
2. What fraction of the circle is shaded?
3. What fraction of the rectangle is not shaded?

## Part 2: Comparing Fractions

1. Which shape is divided into fourths, and which is divided into thirds? Which shape has a larger shaded area?
2. Which shape is divided into fifths, and which is divided into tenths? Which shape has a larger shaded area?
3. Which shape is divided into eighths, and which is divided into twelfths? Which shape has a larger shaded area?

## Part 3: Adding and Subtracting Fractions

1. The rectangle is divided into thirds. What fraction of the rectangle is shaded? If we shade one more third of the rectangle, what fraction of the rectangle will be shaded then?
2. The square is divided into fourths. What fraction of the square is shaded? If we add one more fourth of the square that is shaded, what fraction of the square will be shaded then?
3. The circle is divided into eighths. What fraction of the circle is shaded? If we remove one eighth of the circle that is shaded, what fraction of the circle will be shaded then?

## Part 4: Multiplying and Dividing Fractions

1. The rectangle is divided into fifths. What fraction of the rectangle is shaded? If we shade all five parts of the rectangle that are currently not shaded, what fraction of the rectangle will be shaded then?
2. The square is divided into eighths. What fraction of the square is shaded? If we shade only one half of the shaded parts of the square, what fraction of the square will be shaded then?
3. The circle is divided into twelfths. What fraction of the circle is shaded? If we shade only one third of the shaded parts of the circle, what fraction of the circle will be shaded then?

## Part 5: Mixed Questions

1. The rectangle is divided into halves, and one half is shaded. Then, the rectangle is divided into fourths. What fraction of the rectangle is shaded now?
2. The square is divided into thirds, and one third is shaded. Then, the square is divided into twelfths. What fraction of the square is shaded now?
3. The circle is divided into tenths, and three tenths are shaded. Then, the circle is divided into fifths. What fraction of the circle is shaded now?

## Part 6: Challenge Questions

1. The rectangle is divided into sixths, and two sixths are shaded. What fraction of the rectangle is not shaded?
2. The square is divided into tenths, and four tenths are shaded. If we divide the square into fifteenths, what fraction of the square will be shaded then?
3. The circle is divided into sixths, and three sixths are shaded. If we divide the circle into eighteenths, what fraction of the circle will be shaded then?

End of Worksheet Test