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Number patterns: Tricky, sheet 1

12 patterns on one sheet, with the answers on the last page. Find the rule and write the next number.

Number patterns: Tricky, sheet 1

Find the rule and write the next number.

  1. 5, 5, 8, 12, 11, 19, ?
  2. 14, 18, 19, 25, 24, 32, ?
  3. 18, 9, 20, 15, 22, 21, ?
  4. 14, 40, 20, 42, 26, 44, ?
  5. 16, 1, 19, 6, 22, 11, ?
  6. 7, 7, 12, 14, 17, 21, ?
  7. 18, 18, 23, 25, 28, 32, ?
  8. 19, 27, 20, 31, 21, 35, ?
  9. 12, 22, 15, 24, 18, 26, ?
  10. 17, 1, 20, 8, 23, 15, ?
  11. 2, 24, 4, 28, 6, 32, ?
  12. 18, 1, 24, 4, 30, 7, ?

Answers

  1. 14. Two sequences alternate. Terms 1, 3, 5… go up by 3; terms 2, 4, 6… go up by 7. The next term continues the first sequence: 11 + 3 = 14.
  2. 29. Two sequences alternate. Terms 1, 3, 5… go up by 5; terms 2, 4, 6… go up by 7. The next term continues the first sequence: 24 + 5 = 29.
  3. 24. Two sequences alternate. Terms 1, 3, 5… go up by 2; terms 2, 4, 6… go up by 6. The next term continues the first sequence: 22 + 2 = 24.
  4. 32. Two sequences alternate. Terms 1, 3, 5… go up by 6; terms 2, 4, 6… go up by 2. The next term continues the first sequence: 26 + 6 = 32.
  5. 25. Two sequences alternate. Terms 1, 3, 5… go up by 3; terms 2, 4, 6… go up by 5. The next term continues the first sequence: 22 + 3 = 25.
  6. 22. Two sequences alternate. Terms 1, 3, 5… go up by 5; terms 2, 4, 6… go up by 7. The next term continues the first sequence: 17 + 5 = 22.
  7. 33. Two sequences alternate. Terms 1, 3, 5… go up by 5; terms 2, 4, 6… go up by 7. The next term continues the first sequence: 28 + 5 = 33.
  8. 22. Two sequences alternate. Terms 1, 3, 5… go up by 1; terms 2, 4, 6… go up by 4. The next term continues the first sequence: 21 + 1 = 22.
  9. 21. Two sequences alternate. Terms 1, 3, 5… go up by 3; terms 2, 4, 6… go up by 2. The next term continues the first sequence: 18 + 3 = 21.
  10. 26. Two sequences alternate. Terms 1, 3, 5… go up by 3; terms 2, 4, 6… go up by 7. The next term continues the first sequence: 23 + 3 = 26.
  11. 8. Two sequences alternate. Terms 1, 3, 5… go up by 2; terms 2, 4, 6… go up by 4. The next term continues the first sequence: 6 + 2 = 8.
  12. 36. Two sequences alternate. Terms 1, 3, 5… go up by 6; terms 2, 4, 6… go up by 3. The next term continues the first sequence: 30 + 6 = 36.