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Year 2 Fractions: identify equal parts and be familiar with halves, thirds and quarters worksheet

“Are the parts equal?” is free to print, with no account. It is the first sheet in the Year 2 maths unit “Fractions: identify equal parts and be familiar with halves, thirds and quarters”, for children aged 6 to 7, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 27 to 28 of the year, 10 sheets in the unit.

Free sample · answers on the last page

Are the parts equal?

Name: ____________ · Date: ____________
Year 2 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can tell whether parts are equal or unequal by checking they match.

A Look back3 min

  1. 1.

    Count the blocks. How many are there?

  2. 2.

    Count on in 2s from 10: 10, 12, 14,

    10111213141517181920
  3. 3.

    47 74

    4774

B Watch me, then you4 min

Sam folds a paper rectangle in half. Are the two parts equal?

Watch me

The two parts look the same size.

Fold one half over the other and check the edges meet.

They meet exactly, so the parts are equal.

Now you
  1. 1.

    This circle is split into 4 parts. Are the parts equal or unequal?

    equalunequal

C Your turn6 min

Look at each shape or bar. Are the parts equal or unequal?

  1. 1.

    This rectangle is split into 4 parts. Are the parts equal or unequal?

    equalunequal
  2. 2.

    This circle is split into 2 parts. Are the parts equal or unequal?

    equalunequal
  3. 3.

    A bar of 6 squares is cut into two parts of 3 squares. Are the parts equal or unequal?

    633
    equalunequal
  4. 4.

    A bar of 7 squares is cut into parts of 2 and 5 squares. Are the parts equal or unequal?

    725
    equalunequal

Say it out loud: How did you check? What would you look at first?

D Spot the mistake3 min

Kit says: “Any shape cut with one straight line makes two equal parts.”
1046
  1. 1.

    This bar of 10 is cut into parts of 4 and 6. Are the two parts equal or unequal?

    equalunequal

E Think deeper3 min

  1. 1.

    Draw a square cut into 4 equal parts. Then draw one cut into 4 unequal parts. How can you tell which is which?

How did it feel?

I can do it Nearly Not yet
StudyDen · Year 2 · Maths · Fractions: identify equal parts and be familiar with halves, thirds and quartersAnswers are on the grown-up page

For the grown-up

Are the parts equal? · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 34

2. 16

3. <

B

1. equal

C

1. equal If your child says unequal, ask them to fold along each cut and see whether the edges meet.

2. equal

3. equal

4. unequal If your child says equal, ask which part is longer. Count the squares in each part, then compare.

D

1. unequal If your child says equal, ask them to line the two parts up side by side. Which one is longer, and does Kit's claim still hold?

E

1. Look for: two drawings, one with 4 equal parts and one with unequal parts, plus a reason such as matching or measuring. If your child's equal parts are different sizes, ask them to fold each part over its neighbour to check.

Words to use

Say“How could you check that the parts really match?”
Instead of“Yes, they look the same, that is fine.”

After the sheet

Cut a paper strip and fold it. Open it and see if the two parts match, then try a cut that does not match.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

9 more sheets come with a StudyDen plan, in teaching order:

  1. Two Equal Parts(with a plan)
  2. Are These Quarters?(with a plan)
  3. One-third, a new fraction(with a plan)
  4. Writing halves, thirds and quarters(with a plan)
  5. Finding one-half(with a plan)
  6. Halves and doubles(with a plan)
  7. Thirds and quarters of numbers(with a plan)
  8. Three-quarters of things(with a plan)
  9. Halves and Quarters Match(with a plan)

Every Year 2 maths worksheet

The worksheets plan opens a printable sheet for every lesson in Years 1 to 6, each with its answers on a separate page for you. It costs £6.99 a month or £59 a year for the whole family, with no free trial.

The full StudyDen plan adds the lessons themselves, marked as your child works, with the worksheets included. It is 7 days free, then £29.99 a month.

Both start with a free account; you choose the plan when you sign up.