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KS2 mathematics: Number

Number

This section consists of six tasks.

Number task 1: Counting beans

(Level 1; for up to 4 pupils)

  • Part 1 - counting reliably up to eight objects.
  • Part 2 - reading, writing and ordering numbers up to 10; making sensible predictions about the positions of numbers in their ordering.
  • Part 3 - adding numbers with totals up to 10.
  • Part 4 - understanding subtraction as both 'take away' and 'difference', working with numbers up to 10.

Number task 2: Numbered dice

(Level 2; for up to 4 pupils)

  • Part 1 - reading and ordering two-digit numbers; identifying two odd or even numbers.
  • Part 2 - completing additions and subtractions, using numbers up to 100.

Number task 3: Pattern grid 1

(Level 1; for up to 4 pupils)

  • Part 1 - identifying numbers with given properties and describing numbers using everyday language.
  • Part 2 - reading numbers in a sequence and identifying numbers that continue the sequence.
  • Part 3 - adding numbers with totals up to 10 and identifying two numbers from a given selection, which give largest total and then the smallest total.

Number task 4: Pattern grid 2

(Level 2; for up to 4 pupils)

  • Part 1 - identifying hidden numbers within a sequence and explaining their reasoning using mathematical language.
  • Part 2 - identifying hidden numbers on a number grid and explaining their reasoning using mathematical language.
  • Part 3 - identifying a number between two given numbers and subtracting a smaller two-digit number from a larger two-digit number.
  • Part 4 - identifying two-digit numbers with specified properties and describing numbers using mathematical language.

Number task 5: Snack shop 1

(Level 1 and threshold level 2; for up to 4 pupils)

  • Part 1 - naming and selecting coins of given values up to 10p.
  • Part 2 - collecting or parting with given amounts of money, up to 10p ; exchanging coins for smaller denominations when required; checking these amounts and identifying when they are given an incorrect amount; sorting a collection of coins by coin type and calculating the total value of these coins.
  • Part 3 - selecting coins that total specified values up to 10p; calculating the total value of the coins they use.

Number task 6: Snack shop 2

(Level 2; for up to 4 pupils)

  • Part 1 - collecting or parting with given amounts of money, up to 30p, exchanging coins for smaller denominations when required; checking these amounts of money and identifying when they are given an incorrect amount; sorting coins by coin type and calculating the total value of these coins.
  • Part 2 - selecting coins that total specified values up to 50p; calculating the total value of the coins they use.

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Number task 1: Counting beans

Assessment focus

This task allows pupils to demonstrate performance at level 1 only.

Number

  • Count reliably up to 10 objects (1/Ma2/2a)
  • Read and write numbers to 10; understand and use the vocabulary of comparing and ordering these numbers; order a set of one-digit numbers (1/Ma2/2c)
  • Understand addition and use related vocabulary; recognise that addition can be done in any order; understand subtraction as both 'take away' and 'difference' and use the related vocabulary (1/Ma2/3a)

Using and applying mathematics

  • Develop flexible approaches to problem-solving and look for ways to overcome difficulties (1/Ma2/1b)
  • Organise and check their work (1/Ma2/1d)

Resources

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Number task 2: Numbered dice

Assessment focus

This task allows pupils to demonstrate performance at level 2 only.

Number

  • Recognise number patterns, including two-digit multiples of 2 (2/Ma2/2b)
  • Read, write and order whole numbers, recognising that the position of a digit gives its value (2/Ma2/2c)
  • Develop their understanding of number operations and the relationship between them including inverses (2/Ma2/3a)
  • Work out what they need to add to any two-digit number to make 100, then add or subtract any pair of
    two-digit numbers (2/Ma2/3e)
  • Use written methods to add and subtract positive integers (2/Ma2/3i)

Using and applying mathematics

  • Break down a complex calculation into simpler steps before attempting a solution (2/Ma2/1b)
  • Make mental estimates of the answers to calculations (2/Ma2/1e)

Resources

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Number task 3: Pattern grid

Assessment focus

This task allows pupils to demonstrate performance at level 1 only.

Number

  • Describe number patterns; explaining the patterns and using them to make predictions (1/Ma2/2b)
  • Read numbers to 10; understand the vocabulary of comparing and ordering these numbers (1/Ma2/2c)
  • Understand addition and use related vocabulary (1/Ma2/3a)

Using and applying mathematics

  • Communicate in spoken form, at first using informal language (1/Ma2/1f)
  • Understand a general statement and investigate whether particular cases match it (1/Ma2/1h)

Resources

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Number task 4: Pattern grid 2

Assessment focus

This task allows pupils to demonstrate performance at level 2 only.

Number

  • Recognise and continue number sequences formed by counting on or back in steps of a constant size from any integer (2/Ma2/2a)
  • Recognise and describe number patterns, using these to make predictions; make general statements (2/Ma2/2b)
  • Order whole numbers, recognising that the position of a digit gives its value (2/Ma2/2c)
  • Understand the four number operations; use related vocabulary (2/Ma2/3a)
  • Use written methods to add and subtract positive integers (2/Ma2/3i)

Using and applying mathematics

  • Communicate mathematically, including the use of precise mathematical language (2/Ma2/1i)
  • Search for a pattern in their results; develop logical thinking and explain their reasoning (2/Ma2/1k)

Resources

  • a copy of Pattern grid 2 for each pupil
  • Number task 4 instructions and record sheets
  • one Square cover-up for each pupil (copy the square cover-up sheet onto card and cut out the shaded squares prior to the assessment; this will make four Square cover-ups)
  • a Two window overlay for each pupil (copy onto card and cut out the shaded squares prior to the assessment)
  • two large solid counters for each pupil (these should be stuck to each pupil's Pattern grid 2 using reusable sticky-tac, prior to the assessment. They should cover up a middle number and a far right number in the same row, but a different row should be used for each pupil)
  • reusable sticky-tac
  • two transparent counters for each pupil [if transparent counters are not available, a possible alternative is small pieces of overhead transparency sheet each marked with a circle.]
  • a pen or pencil for each pupil
  • a sheet of plain paper for each pupil.

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    Number task 5: Snack shop1

    Assessment focus

    Number

    • Count reliably up to 10 (1/Ma2/2a)
    • Read and write numbers to 10 (1/Ma2/2c)
    • Understand addition; understand subtraction (1/Ma2/3a)
    • Choose sensible calculation methods to solve whole-number problems (including problems involving money) (1/Ma2/4a)
    • Solve a relevant problem by using simple lists, tables and charts to organise information (1/Ma2/5a
    • Recall all addition and subtraction facts for each number up to 20 (2/Ma2/3d)
    • Use addition and subtraction to solve problems involving money (2/Ma2/4a)

    Using and applying mathematics

    • Check their work (1/Ma2/1d)
    • Make mental estimates of the answers to calculations; check results (2/Ma2/1e)

    Resources

    • a copy of Snack shop game board 1 (enlarged to A3)
    • Number task 5 instructions and record sheets
    • a copy of Snack shop price list 1 for each pupil (both sheets of price list copied side-by-side onto A3)
    • a copy of Snack shop bill 1 for each pupil
    • five 1p, five 2p, two 5p coins and one 10p coin for each pupil
    • eight of each of the following coins for the teacher: 1p, 2p, 5p and 10p
    • a container to store the teacher’s coins
    • a blank six-sided dice (numbered 1, 1, 1, 2, 2, and 3 prior to the assessment)
    • a different coloured counter for each pupil
    • a pen or pencil for each pupil.

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    Number task 6: Snack shop 2

    Assessment focus

    This task allows pupils to demonstrate performance at level 2 only.

    Number

    • Read and write whole numbers (2/Ma2/2c)
    • Recall all addition and subtraction facts for each number to 20 (2/Ma2/3d)
    • Use written methods to add and subtract positive integers (2/Ma2/3i)
    • Use addition and subtraction to solve problems involving money (2/Ma2/4a)

    Using and applying mathematics

    • Make mental estimates of the answers to calculations; check results (2/Ma2/1e)

    Resources

      • a copy of Snack shop game board 2 (enlarged to A3)
      • Number task 6 instructions and record sheets
      • a copy of Snack shop price list 2 for each pupil
        (both sheets of price list copied side-by-side onto A3)
      • a copy of Snack shop bill 2 for each pupil
      • five 1p, five 2p, two 5p, two 10p, two 20p coins and one 50p coin for each pupil
      • three 1p, three 2p, three 5p, three 10p, three 20p, two 50p and two £1 coins for the teacher
      • a container to store the teacher's coins
      • a blank six-sided dice (numbered 1, 1, 1, 2, 2, and 3 prior to the assessment)
      • a different coloured counter for each pupil
      • a pen or pencil for each pupil.

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