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Year 5 Understand hundredths as parts of a whole and represent worksheet

“Hundredths of a whole” is free to print, with no account. It is the first sheet in the Year 5 maths unit “Understand hundredths as parts of a whole and represent”, for children aged 9 to 10, 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 2 to 3 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Hundredths of a whole

Name: ____________ · Date: ____________
Year 5 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can count hundredths shaded in a whole split into 100 equal parts.

A Look back3 min

  1. 1.

    A bar is split into 10 equal parts. 4 parts are shaded. How many parts are not shaded?

  2. 2.

    3 tens and 4 ones make

  3. 3.

    3 lots of 10 make

    101010

B Watch me, then you4 min

Each counter is one hundredth. A whole is 100 hundredths, which fills 10 ten frames.

Watch me

A whole is 100 hundredths, so 10 full ten frames make one whole.

Each full ten frame is 10 hundredths, or one tenth. 3 full frames make 30 counters.

30 counters is 30 hundredths, or 0.30.

Now you
  1. 1.

    Ravi colours 45 squares of a 100 square grid. Write this as a decimal.

C Your turn6 min

Each counter is one hundredth of a whole. 100 counters make the whole. Count the counters.

  1. 1.

    How many hundredths do the counters show?

  2. 2.

    How many hundredths do the counters show?

  3. 3.

    How many hundredths do the counters show?

  4. 4.

    How many hundredths do the counters show?

Say it out loud: Each full ten frame is one tenth. What do the full frames tell you?

D Spot the mistake3 min

Ali says: “Ten hundredths make one whole.”
  1. 1.

    How many hundredths make one whole?

E Think deeper5 min

  1. 1.

    Think about a whole of 100 hundredths. Which numbers of hundredths from 1 to 100 make a whole number of tenths? Write them all.

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StudyDen · Year 5 · Maths · Understand hundredths as parts of a whole and representAnswers are on the grown-up page

For the grown-up

Hundredths of a whole · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 6

2. 34

3. 30

B

1. 0.45 If your child writes 4.5, they have read 45 hundredths as 45 tenths. The second digit after the point is hundredths, so 0.45 is right. Count the counters again.

C

1. 20

2. 25

3. 35

4. 50 If your child writes 5, they have counted the full ten frames, not the counters. Each frame holds 10 counters, so 5 frames make 50.

D

1. 100 If your child writes 10, they have mixed up hundredths and tenths. Ten hundredths is one tenth. One whole has 100 hundredths.

E

1. 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Words to use

Say“How many counters make the whole? How many counters are there? Look for full ten frames.”
Instead of“Just tell them the answer.”

After the sheet

Draw a 10 by 10 grid on squared paper. Colour some squares, then ask your child to write the amount as hundredths and as a decimal.

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. Hundredths as decimals(with a plan)
  2. Hundredths in different ways(with a plan)
  3. Comparing decimal numbers(with a plan)
  4. Breaking decimals apart(with a plan)

Every Year 5 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.