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Celeste International School

Grade 5 · Worksheet

Numbers and sequences

Sequences

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    What is the term-to-term rule for the sequence 5, 7, 9, 11, 13?

    1. AAdd 2
    2. BAdd 5
    3. CSubtract 2
    4. DAdd 7
  2. 2.

    In the sequence 71, 65, 59, 53, 47 the numbers go down by equal steps. How much is subtracted each time?

  3. 3.

    The rule is 'add 7'. Write the next term: 4, 11, 18, 25, ...

  4. 4.

    The rule is 'add 9'. Write the next term: 2, 11, 20, 29, ...

  5. 5.

    The first term is 4 and the rule is 'add 7'. What is the third term?

  6. 6.

    Which sequence has the term-to-term rule 'subtract 6'?

    1. A71, 65, 59, 53
    2. B5, 11, 17, 23
    3. C6, 12, 18, 24
    4. D71, 77, 83, 89
  7. 7.

    These numbers go up by equal steps: 3, 6, 9, __, 15. What is the missing number?

  8. 8.

    These are terms of one sequence, jumbled up. Put them in order from smallest to largest.

    Write the order (smallest to largest) in the boxes:

    • ?18
    • ?4
    • ?25
    • ?11
  9. 9.

    The number 20 will appear in the sequence 5, 7, 9, 11, 13, ...

    True False
  10. 10.

    The sequence 15, 14.6, 14.2, 13.8 decreases by 0.4 each time.

    True False
  11. 11.

    A sequence has terms 4, 8, 12, 16 for positions 1, 2, 3, 4. What is the position-to-term rule?

    1. AMultiply by 4
    2. BAdd 4
    3. CMultiply by 2
    4. DMultiply by 8
  12. 12.

    The position-to-term rule is 'multiply by 4'. What is the 25th term?

  13. 13.

    The sequence 6, 12, 18, 24 has the rule 'multiply by 6'. What is the 10th term?

  14. 14.

    The sequence 7, 14, 21, 28 has the rule 'multiply by 7'. What is the 10th term?

  15. 15.

    The sequence 2, 4, 6, 8, ... has the rule 'multiply by 2'. What is the 50th term?

  16. 16.

    A sequence's rule is 'multiply by 6'. Which is the 5th term?

    1. A30
    2. B24
    3. C36
    4. D11
  17. 17.

    In a sequence, term = position x 3. What is the 8th term?

  18. 18.

    In a sequence, term = position x 4. What is the 10th term?

  19. 19.

    A sequence's rule is 'multiply by 6'. Which position gives the term 60?

    1. A10th
    2. B6th
    3. C12th
    4. D60th
  20. 20.

    If the position-to-term rule is 'multiply by 4', then the 25th term is 100.

    True False
Celeste International School

Answer key

Numbers and sequences — Sequences

  1. 1.A. Add 2
  2. 2.6
  3. 3.32
  4. 4.38
  5. 5.18
  6. 6.A. 71, 65, 59, 53
  7. 7.12
  8. 8.4, 11, 18, 25
  9. 9.False
  10. 10.True
  11. 11.A. Multiply by 4
  12. 12.100
  13. 13.60
  14. 14.70
  15. 15.100
  16. 16.A. 30
  17. 17.24
  18. 18.40
  19. 19.A. 10th
  20. 20.True