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Addition and subtraction · Ages 6–7

Fact families worksheet

Part of: Addition and subtraction within 18

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Fact families worksheet

Addition and subtraction · Ages 6–7

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Write each answer in the space. For word problems, show your working and write a sentence answer.

Part A: Working out and filling in (2 marks each)

  1. 1.7 + 6 = 6 +

    Answer:

  2. 2.1 + 6 = 7, so 7 − 1 =

    Answer:

  3. 3.7 + 5 = 5 +

    Answer:

  4. 4.6 + 5 = 11, so 11 − 6 =

    Answer:

  5. 5.The family of 9, 7 and 16: 9 + 7 = 16, 7 + 9 = , 16 − 9 = , 16 − 7 =

    Fill in each blank

    Answer:

  6. 6.The family of 3, 9 and 12: 3 + 9 = 12, 9 + 3 = , 12 − 3 = , 12 − 9 =

    Fill in each blank

    Answer:

Part B: Choose, or true or false (2 marks each)

  1. 7.Checking by adding shows that 16 − 9 = 7 is right.

    True or false?

    Answer:

  2. 8.Which number sentence is in the same family as 7 + 8 = 15?

    • A. 15 − 8 = 7
    • B. 15 + 7 = 22
    • C. 8 − 7 = 1
    • D. 15 − 7 = 9

    Choose the right answer

    Answer:

  3. 9.Checking by adding shows that 13 − 7 = 5 is right.

    True or false?

    Answer:

  4. 10.Which number sentence is in the same family as 5 + 9 = 14?

    • A. 9 − 5 = 4
    • B. 14 + 5 = 19
    • C. 14 − 9 = 5
    • D. 14 − 5 = 10

    Choose the right answer

    Answer:

  5. 11.Checking by adding shows that 10 − 3 = 7 is right.

    True or false?

    Answer:

  6. 12.Which of these is true?

    • A. 4 + 8 = 4 + 12
    • B. 4 + 8 = 8 + 4
    • C. 12 − 4 = 4 − 12
    • D. 12 − 8 = 8 − 12

    Choose the right answer

    Answer:

Part C: Word problems (4 marks each)

  1. 13.Ka-lok has $15, buys a $7 picture book and works out $8 is left. Ka-lok checks by adding: 8 + 7 =

    Working:

    Answer:

  2. 14.Ka-yan puts in 8 beads, then 3 more: 11 in all. May puts in 3 beads, then 8 more. How many beads does May put in?

    Working:

    Answer:

  3. 15.Chi-keung has some marbles, buys 9 more and now has 11. How many did Chi-keung have at first?

    Working:

    Answer:

  4. 16.A box has 17 cookies. Ka-yan takes some and 8 are left. How many did Ka-yan take?

    Working:

    Answer:

  5. 17.Chi-keung has some cards, buys 4 more and now has 16. How many did Chi-keung have at first?

    Working:

    Answer:

  6. 18.May has $14, buys a $5 picture book and works out $9 is left. May checks by adding: 9 + 5 =

    Working:

    Answer:

Show the answers and working

Fact families worksheet: Answers and working

Part A: Working out and filling in

  1. 1. 7

    Both sides have 6. If you swap the two numbers in an addition, does the answer change?

    Swap the two numbers of an addition and the answer stays the same: 7 + 6 = 6 + 7.

  2. 2. 6

    1, 6 and 7 are a family. 1 and which other number make 7?

    1, 6 and 7 are a family: 7 minus 1 leaves 6.

  3. 3. 7

    Both sides have 5. If you swap the two numbers in an addition, does the answer change?

    Swap the two numbers of an addition and the answer stays the same: 7 + 5 = 5 + 7.

  4. 4. 5

    6, 5 and 11 are a family. 6 and which other number make 11?

    6, 5 and 11 are a family: 11 minus 6 leaves 5.

  5. 5. 16, 7, 9

    Swapping an addition keeps its answer; each subtraction takes one of the numbers away from 16.

    Both additions make 16; 16 minus one of them leaves the other.

  6. 6. 12, 9, 3

    Swapping an addition keeps its answer; each subtraction takes one of the numbers away from 12.

    Both additions make 12; 12 minus one of them leaves the other.

Part B: Choose, or true or false

  1. 7. True

    Check by adding: put 7 and 9 together and see whether you get 16.

    Check: 7 + 9 = 16, so 16 − 9 = 7.

  2. 8. A. 15 − 8 = 7

    A family uses only 7, 8 and 15. First rule out the sentences that use any other number.

    15 minus 8 leaves 7: 15 − 8 = 7.

  3. 9. False

    Check by adding: put 5 and 7 together and see whether you get 13.

    Check: 6 + 7 = 13, so 13 − 7 = 6.

  4. 10. C. 14 − 9 = 5

    A family uses only 5, 9 and 14. First rule out the sentences that use any other number.

    14 minus 9 leaves 5: 14 − 9 = 5.

  5. 11. True

    Check by adding: put 7 and 3 together and see whether you get 10.

    Check: 7 + 3 = 10, so 10 − 3 = 7.

  6. 12. B. 4 + 8 = 8 + 4

    An addition can be swapped, but can a subtraction? Check each one: are both sides really the same?

    An addition can be swapped and keep its answer; a subtraction can't.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

  1. 13. 15

    Checking means adding the $8 left to the $7 spent.

    To check, what is left plus what was spent must make the $15 at the start.

  2. 14. 11 beads

    Both put in 8 and 3 beads, just in a different order. Does swapping the order change the total?

    Swapping the order keeps the answer: 3 + 8 = 8 + 3 = 11.

  3. 15. 2 marbles

    The first number with 9 more makes 11. So work backwards: take 9 away from 11.

    The first number plus 9 is 11, so the first number is 11 − 9 = 2.

  4. 16. 9 cookies

    What was taken and the 8 left make 17 together. Think how many more 8 needs to make 17.

    17, 8 and the number taken are a family: 17 − 8 = 9, because 9 + 8 = 17.

  5. 17. 12 cards

    The first number with 4 more makes 16. So work backwards: take 4 away from 16.

    The first number plus 4 is 16, so the first number is 16 − 4 = 12.

  6. 18. 14

    Checking means adding the $9 left to the $5 spent.

    To check, what is left plus what was spent must make the $14 at the start.

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