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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 449 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 14, 18, 22, 26, 30, ? (a) 33 (b) 34 (c) 38 (d) 35
  2. 2.What comes next? 8, 17, 9, 18, 10, 19, ? (a) 10 (b) 11 (c) 28 (d) 27
  3. 3.What comes next? 51, 43, 35, 27, 19, ? (a) 11 (b) 3 (c) 10 (d) 12
  4. 4.What comes next? 28, 26, 24, 22, 20, ? (a) 17 (b) 16 (c) 19 (d) 18
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  6. 6.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 23 (c) 21 (d) 18
  7. 7.What comes next? 49, 41, 33, 25, 17, ? (a) 10 (b) 8 (c) 9 (d) 1
  8. 8.What comes next? 3, 12, 6, 15, 9, 18, ? (a) 27 (b) 11 (c) 12 (d) 24
  9. 9.What comes next? 27, 39, 51, 63, 75, ? (a) 86 (b) 88 (c) 87 (d) 99
  10. 10.What comes next? 63, 56, 49, 42, 35, ? (a) 27 (b) 28 (c) 21 (d) 29
  11. 11.What comes next? 11, 19, 15, 23, 19, 27, ? (a) 31 (b) 23 (c) 22 (d) 35
  12. 12.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 12 (c) 10 (d) 11
  13. 13.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 19 (c) 16 (d) 21
  14. 14.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 31 (c) 28 (d) 29
  15. 15.What comes next? 30, 28, 26, 24, 22, ? (a) 20 (b) 19 (c) 21 (d) 18
  16. 16.What comes next? 17, 20, 23, 26, 29, ? (a) 32 (b) 35 (c) 33 (d) 31
  17. 17.What comes next? 21, 19, 17, 15, 13, ? (a) 10 (b) 12 (c) 11 (d) 9
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  19. 19.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 14 (c) 13 (d) 15
  20. 20.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 63 (c) 75 (d) 65
  21. 21.What comes next? 22, 27, 32, 37, 42, ? (a) 47 (b) 52 (c) 46 (d) 48
  22. 22.What comes next? 28, 34, 40, 46, 52, ? (a) 64 (b) 57 (c) 59 (d) 58
  23. 23.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 21 (d) 24
  24. 24.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 25 (c) 26 (d) 24
  25. 25.What comes next? 13, 17, 21, 25, 29, ? (a) 33 (b) 34 (c) 32 (d) 37
  26. 26.What comes next? 11, 17, 13, 19, 15, 21, ? (a) 16 (b) 25 (c) 27 (d) 17
  27. 27.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 50 (c) 48 (d) 51
  28. 28.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  29. 29.What comes next? 23, 33, 43, 53, 63, ? (a) 73 (b) 83 (c) 72 (d) 74
  30. 30.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 15 (c) 17 (d) 16
  31. 31.What comes next? 11, 16, 13, 18, 15, 20, ? (a) 17 (b) 16 (c) 23 (d) 25
  32. 32.What comes next? 59, 52, 45, 38, 31, ? (a) 23 (b) 24 (c) 17 (d) 25
  33. 33.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  34. 34.What comes next? 19, 28, 24, 33, 29, 38, ? (a) 34 (b) 47 (c) 33 (d) 42
  35. 35.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 32 (b) 25 (c) 24 (d) 27
  36. 36.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 23 (b) 33 (c) 22 (d) 34
  37. 37.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 11 (c) 10 (d) 15
  38. 38.What comes next? 6, 11, 16, 21, 26, ? (a) 30 (b) 36 (c) 31 (d) 32
  39. 39.What comes next? 16, 28, 40, 52, 64, ? (a) 75 (b) 88 (c) 76 (d) 77
  40. 40.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 29 (b) 36 (c) 28 (d) 33

Answer key

  1. 34
  2. 11
  3. 11
  4. 18
  5. 81
  6. 22
  7. 9
  8. 12
  9. 87
  10. 28
  11. 23
  12. 11
  13. 17
  14. 29
  15. 20
  16. 32
  17. 11
  18. 32
  19. 13
  20. 64
  21. 47
  22. 58
  23. 22
  24. 25
  25. 33
  26. 17
  27. 49
  28. 128
  29. 73
  30. 15
  31. 17
  32. 24
  33. 162
  34. 34
  35. 25
  36. 23
  37. 11
  38. 31
  39. 76
  40. 29

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