KS1 Maths · Topic guide

Place Value to 100 (Set 2)

Place Value to 100 (Set 2) gives further practice at partitioning two-digit numbers into tens and ones, this time including partitioning the same number in more than one way and finding 10 more or 10 less than a given number.

Year 1-2 (KS1)Number and place valueNational Curriculum

Before you start

Make sure you're comfortable with these topics first:

Method

  1. Recap that in a two-digit number, the tens digit shows how many groups of ten there are, and the ones digit shows how many single units there are.
  2. Practise the standard partition first, splitting a number into a whole number of tens and a whole number of ones, e.g. 63 = 60 + 3.
  3. Move on to partitioning the same number in a different way by exchanging one ten for ten ones, e.g. 63 is also 5 tens and 13 ones, since 50 + 13 = 63.
  4. Use a hundred square to find 10 more or 10 less than a number: 10 more is the number directly below it, and 10 less is the number directly above it, since moving down a row always adds 10.
  5. Use a number line marked in tens to count on or back in tens from a two-digit number, checking that the ones digit never changes when adding or subtracting a multiple of ten.
  6. Compare two two-digit numbers by looking at the tens digit first; only compare the ones digit if the tens digits are equal.
  7. Watch for the mistaken idea that a number can only be partitioned in one way; use ten-rods and ones-cubes to show that regrouping ten ones into one ten, or the reverse, never changes the total amount.

Worked example

Find 10 more than 47 and 10 less than 47.

  1. To find 10 more, add 10 to the number: the tens digit increases by 1 and the ones digit stays the same.
  2. 47 has a tens digit of 4; adding 10 makes the tens digit 5, so 10 more than 47 is 57.
  3. To find 10 less, subtract 10 from the number: the tens digit decreases by 1 and the ones digit stays the same.
  4. 47 has a tens digit of 4; subtracting 10 makes the tens digit 3, so 10 less than 47 is 37.
  5. So 10 more than 47 is 57, and 10 less than 47 is 37.

Practice questions

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Q1What is 10 more than 34?Show answer

Answer: 44

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Q2What is 10 less than 82?Show answer

Answer: 72

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Q3Write 58 as tens and ones using standard partitioning.Show answer

Answer: 5 tens and 8 ones (50 + 8)

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Q4A number has 3 tens and 15 ones. What two-digit number is this?Show answer

Answer: 45 (3 tens and 15 ones is the same as 4 tens and 5 ones, since 10 ones make 1 more ten: 30 + 15 = 45)

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Q5Which is greater, 68 or 76?Show answer

Answer: 76, because it has a bigger tens digit (7 tens compared with 6 tens)

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Q6What is 10 less than 100?Show answer

Answer: 90

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Exam-style questions

Written in the style of a KS1 Maths exam paper, with a full mark scheme.

Q1[2 marks]

Write the number that has 6 tens and 14 ones as a two-digit number. Show your working.

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Q2[2 marks]

Zara says that 10 less than 50 is 40, because you just take away the zero. Explain why Zara's method will not always work, using a different number as your example.

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Q3[2 marks]

A number is found by starting at 42, adding 10, then subtracting 10 again. What is the final number? Explain your answer.

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Free printable worksheet

Want more practice on paper? Download the place value to 100 (set 2) worksheet pack - 8 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.

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