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Year 3 Identify parts and wholes in different contexts worksheet

“Parts of lines and blocks” is free to print, with no account. It is the first sheet in the Year 3 maths unit “Identify parts and wholes in different contexts”, for children aged 7 to 8, 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 26 to 27 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Parts of lines and blocks

Name: ____________ · Date: ____________
Year 3 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can find the fraction of a line or a row of cubes by counting equal parts.

A Look back3 min

  1. 1.

    Circle the fraction that is shaded.

    one halfone quarterone third
  2. 2.

    What is half of 12?

    12
  3. 3.

    Count in fours: 4, 8, , 16.

    04816

B Watch me, then you4 min

A baker cuts a long loaf into equal slices. One slice is wrapped up for a customer.

A small London bakery shop front with a striped awning and a wooden counter, no people
Watch me

The loaf is cut into 4 equal slices.

One slice is shaded. That is the wrapped slice.

So the wrapped slice is one quarter of the loaf.

Now you
  1. 1.

    A strip is cut into 3 equal parts. Circle the fraction for one part.

    one thirdone quarterone half

C Your turn6 min

  1. 1.

    Circle the fraction that is shaded.

    one quarterone thirdone half
  2. 2.

    Circle the fraction that is shaded.

    one quarterone thirdone half
  3. 3.

    Circle the fraction that is shaded.

    one fifthone quarterone sixth
  4. 4.

    This block is made of 9 equal cubes. Circle the fraction for one cube.

    one ninthone eighthone seventhone third

Say it out loud: What changed in each row, and what stayed the same?

D Spot the mistake3 min

Ali says: “This line has 5 marks, so each part is one fifth.”
01234
  1. 1.

    How many equal parts are there in the line really?

E Think deeper5 min

  1. 1.

    A row has 4 equal cubes and one of them is blue. Add 4 more equal cubes to the row. What fraction is the blue cube now? Explain why.

How did it feel?

I can do it Nearly Not yet
StudyDen · Year 3 · Maths · Identify parts and wholes in different contextsAnswers are on the grown-up page

For the grown-up

Parts of lines and blocks · 2 minutes to read

Answers, and what a wrong one tells you

A

1. one half If your child picks one quarter, ask how many equal parts the whole shape is cut into.

2. 6 If your child writes 10, they probably took 2 away. Share 12 into 2 equal groups and count one group.

3. 12

B

1. one third If your child picks one half, ask how many equal parts the strip has altogether.

C

1. one quarter If your child picks one third, count the equal parts. There are four, not three.

2. one quarter The shaded part has moved, but the parts are still the same size. Count the four equal parts.

3. one fifth If your child picks one quarter, count the equal parts again. This strip has five.

4. one ninth If your child picks one eighth, count the cubes in the block. There are nine, so each cube is one ninth.

D

1. 4 If your child writes 5, they counted the marks. Count the gaps between the marks instead.

E

1. Look for: one eighth, because the row now has 8 equal cubes, so the blue cube is a smaller share of the whole. If your child still says one quarter, ask how many cubes are in the row now. The whole has grown, so the blue cube is a smaller share.

Words to use

Say“Count the equal gaps, not the marks, and check the parts are the same size.”
Instead of“Just tell them the answer is one quarter.”

After the sheet

Line up 8 buttons in a row, swap one for a different button, then count the row together and say the fraction for the swapped one.

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

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

  1. Parts of a Set(with a plan)
  2. Equal parts, different shapes(with a plan)
  3. Equal parts, different shapes(with a plan)
  4. Parts of a whole(with a plan)

Every Year 3 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.

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