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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.

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

  3. 3.

    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
  4. 4.

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

    True False
  5. 5.

    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
  6. 6.

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

  7. 7.

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

    1. A30
    2. B24
    3. C36
    4. D11
  8. 8.

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

    1. A10th
    2. B6th
    3. C12th
    4. D60th
  9. 9.

    Count on from 1 in steps of 0.4: 1, 1.4, 1.8, ... What is the next term?

  10. 10.

    Ollie counts back from 15 in steps of 0.4: 15, 14.6, 14.2, 13.8, ... What is the next term?

  11. 11.

    A sequence starts at 1 and its fifth term is 1.04, with equal steps. What is the step size? (Beware: it is not 0.1.)

  12. 12.

    These terms of the sequence 15, 14.6, 14.2, 13.8, ... are jumbled. Put them in order from largest to smallest.

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

    • ?14.2
    • ?15
    • ?13.8
    • ?14.6
  13. 13.

    Count on in tenths from 3.5: 3.5, 3.6, 3.7, ... What is the next term?

  14. 14.

    What number comes just before 63?

  15. 15.

    What number comes just after 65?

  16. 16.

    A sequence is 4, 8, 12, 16, … What is the next term?

  17. 17.

    What number comes just after 77?

  18. 18.

    What number comes just after 91?

  19. 19.

    What number comes just before 65?

  20. 20.

    Complete the table for the sequence with nth term 3n.

    1234
Celeste International School

Answer key

Numbers and sequences — Sequences

  1. 1.A. Add 2
  2. 2.38
  3. 3.A. 71, 65, 59, 53
  4. 4.False
  5. 5.A. Multiply by 4
  6. 6.70
  7. 7.A. 30
  8. 8.A. 10th
  9. 9.2.2
  10. 10.13.4
  11. 11.0.01
  12. 12.15, 14.6, 14.2, 13.8
  13. 13.3.8
  14. 14.62
  15. 15.66
  16. 16.20
  17. 17.78
  18. 18.92
  19. 19.64
  20. 20.3, 6, 9, 12