Halves and quarters

Find half and a quarter of small numbers, and name equal parts. A free Grade 1 math game about fractions.

For parents and teachers

How this game supports learning, with worked examples, common mistakes and ideas for home and school.

At a glance

Learning focus
Fractions
Suggested level
Grade 1
Common Core connection
1.G.A.3
Game
Quiz race

Open the free printable game and worksheet

Halves and quarters: what children learn

In this game children find half or a quarter of numbers up to 20 and answer questions about what equal parts are called. Every answer comes with a short explanation, so children can see the sharing that gives each answer.

Supports part of Common Core 1.G.A.3 (halves and fourths; this game uses the word quarters). It also finds half and a quarter of small numbers, which goes beyond the standard. This focused game does not cover the entire standard.

Common Core connection: 1.G.A.3. This is focused practice for part of the standard.

How to play

Answer 10 questions before the clock runs out. Tap an answer, or press 1 to 4. Each game has 10 multiple-choice questions and a 150-second timer. A wrong answer shows the correct one before moving on. You earn up to three stars depending on your score.

Step by step

  1. Half means 2 equal groups. To find half of 8, share 8 into 2 equal groups. Each group has 4, so half of 8 is 4.
  2. A quarter means 4 equal groups. To find a quarter of 8, share 8 into 4 equal groups. Each group has 2, so a quarter of 8 is 2.
  3. Check by adding. Two halves make the whole: 4 + 4 = 8. Four quarters make the whole: 2 + 2 + 2 + 2 = 8.
  4. A quarter is half of a half. Halve 8 to get 4, then halve again to get 2. That is a quarter of 8.

Worked examples

Example 1: What is half of 12?

Working: Share 12 into 2 equal groups of 6. 6 + 6 = 12.

Answer: 6

Example 2: What is a quarter of 16?

Working: Half of 16 is 8, and half of 8 is 4.

Answer: 4

Example 3: A cake is cut into 4 equal pieces. What is each piece called?

Working: 4 equal parts are quarters.

Answer: a quarter

Common mistakes and how to fix them

  • Thinking any cut into two pieces makes halves. Halves must be equal. If one piece is bigger, the pieces are not halves.
  • Thinking a quarter is bigger than a half because 4 is bigger than 2. Cut two equal paper strips, one into 2 and one into 4. The more pieces, the smaller each piece.
  • Doubling instead of halving. Say 'share between 2' rather than 'half' until the word is secure.

Activities to try at home

  • Share snacks fairly: 'There are 10 grapes. How many do we each get if we share them in half?'
  • Fold paper squares into halves and quarters in different ways.
  • Cut a sandwich into quarters and ask how many quarters make the whole sandwich.

Ideas for the classroom

  • Share counters between 2 or 4 paper plates and record the result.
  • Fold and cut shapes, then check the pieces match by laying them on top of each other.
  • Ask 'Is this a half?' about shapes split into equal and unequal parts.

Free printable game and worksheet

The free printable starts with a game sheet, such as a color-by-answer picture, an answer maze or a secret-code joke, followed by a worksheet. Both use the same checked questions as the online game, and the answers are on the last page. Print it, or save it as a PDF from your browser’s print menu.

Open the free printable game and worksheet

Frequently asked questions

How should I choose this game for my learner?

Supports part of Common Core 1.G.A.3 (halves and fourths; this game uses the word quarters). It also finds half and a quarter of small numbers, which goes beyond the standard. This focused game does not cover the entire standard.

Can it be played with a keyboard?

Yes. Press 1, 2, 3 or 4 to choose an answer.

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