Maths Library

Halves and Fourths of Shapes: Grade 1 math

Young learners recognise and shade one-half and one-quarter of basic 2D shapes and discrete sets. The tasks develop foundational geometric and sharing concepts using visual models.

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What this covers

Halves and Fourths of Shapes is taught in Grade 1 (age 6 to 7) as a topic to introduce. It sits in the Fractions strand.

Worked example

A shape is split into 4 equal parts. If 1 part is shaded, what fraction is shaded

  1. Count the total number of equal parts: 4
  2. Count the number of shaded parts: 1
  3. Express as a fraction: 14

Answer: 14

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Identify shapes divided into two equal parts (halves)
  2. Colour or identify 12 of symmetric regular shapes
  3. Recognise and shade 14 of regular shapes divided into four equal regions
  4. Find 12 and 14 of small groups of discrete objects up to 12
  5. Identify 24 and 34 of shapes or distinguish equal from unequal partitions

Common mistakes

  • Ignoring whether parts are equal, calling any shape split into two pieces 'halves'
  • Confusing the denominator with the number of unshaded parts

Curriculum links

Indicative matches to Common Core State Standards. Check wording and codes against the official document.

  • 1.G.A.3 Partition circles and rectangles into two and four equal shares, describing them using halves and quarters.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Halves and Fourths of Shapes

Grade 1 math

Qs
6
Marks
6
NameDateScore / 6
1.
What fraction of the shape is shaded?
[1]
2.
What fraction of the shape is shaded?
[1]
3.
What fraction of the shape is shaded?
[1]
4.
What fraction of the shape is shaded?
[1]
5.
What fraction of the shape is shaded?
[1]
6.
What fraction of the shape is shaded?
[1]

Answer key

  1. 13The shape has 3 equal parts and 1 are shaded; 1 out of 3 is 1/3
  2. 12The shape has 2 equal parts and 1 are shaded; 1 out of 2 is 1/2
  3. 13The shape has 3 equal parts and 1 are shaded; 1 out of 3 is 1/3
  4. 13The shape has 3 equal parts and 1 are shaded; 1 out of 3 is 1/3
  5. 34The shape has 4 equal parts and 3 are shaded; 3 out of 4 is 3/4
  6. 13The shape has 3 equal parts and 1 are shaded; 1 out of 3 is 1/3