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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 194 · 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? 20, 29, 38, 47, 56, ? (a) 65 (b) 66 (c) 74 (d) 64
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  3. 3.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 40 (c) 37 (d) 38
  4. 4.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 31 (b) 23 (c) 26 (d) 24
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  6. 6.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 33 (c) 34 (d) 36
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  8. 8.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 28 (c) 30 (d) 27
  9. 9.What comes next? 1, 9, 2, 10, 3, 11, ? (a) 19 (b) 18 (c) 4 (d) 3
  10. 10.What comes next? 5, 15, 25, 35, 45, ? (a) 56 (b) 65 (c) 54 (d) 55
  11. 11.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 43 (c) 40 (d) 42
  12. 12.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 9 (b) 10 (c) 5 (d) 4
  13. 13.What comes next? 64, 55, 46, 37, 28, ? (a) 19 (b) 20 (c) 10 (d) 18
  14. 14.What comes next? 13, 25, 37, 49, 61, ? (a) 85 (b) 73 (c) 74 (d) 72
  15. 15.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 23 (b) 22 (c) 31 (d) 32
  16. 16.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 37 (c) 36 (d) 35
  17. 17.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 19 (c) 21 (d) 20
  18. 18.What comes next? 9, 14, 19, 24, 29, ? (a) 33 (b) 39 (c) 34 (d) 35
  19. 19.What comes next? 6, 18, 30, 42, 54, ? (a) 78 (b) 67 (c) 66 (d) 65
  20. 20.What comes next? 17, 29, 41, 53, 65, ? (a) 78 (b) 77 (c) 76 (d) 89
  21. 21.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 23 (c) 20 (d) 22
  22. 22.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  23. 23.What comes next? 35, 29, 23, 17, 11, ? (a) 5 (b) 7 (c) 4 (d) 6
  24. 24.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 10 (c) 16 (d) 13
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  26. 26.What comes next? 7, 15, 12, 20, 17, 25, ? (a) 33 (b) 28 (c) 22 (d) 21
  27. 27.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 30 (c) 33 (d) 31
  28. 28.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 71 (c) 72 (d) 73
  29. 29.What comes next? 51, 43, 35, 27, 19, ? (a) 10 (b) 12 (c) 3 (d) 11
  30. 30.What comes next? 16, 28, 40, 52, 64, ? (a) 76 (b) 88 (c) 75 (d) 77
  31. 31.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 40 (c) 41 (d) 39
  32. 32.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 10 (b) 4 (c) 11 (d) 3
  33. 33.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 36 (c) 34 (d) 35
  34. 34.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 34 (d) 32
  35. 35.What comes next? 10, 17, 16, 23, 22, 29, ? (a) 30 (b) 36 (c) 27 (d) 28
  36. 36.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 20 (c) 19 (d) 18
  37. 37.What comes next? 25, 27, 29, 31, 33, ? (a) 36 (b) 34 (c) 35 (d) 37
  38. 38.What comes next? 56, 50, 44, 38, 32, ? (a) 25 (b) 20 (c) 26 (d) 27
  39. 39.What comes next? 18, 28, 38, 48, 58, ? (a) 68 (b) 78 (c) 67 (d) 69
  40. 40.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 36 (c) 37 (d) 35

Answer key

  1. 65
  2. 96
  3. 38
  4. 24
  5. 162
  6. 34
  7. 81
  8. 28
  9. 4
  10. 55
  11. 41
  12. 5
  13. 19
  14. 73
  15. 23
  16. 35
  17. 20
  18. 34
  19. 66
  20. 77
  21. 21
  22. 192
  23. 5
  24. 11
  25. 32
  26. 22
  27. 31
  28. 72
  29. 11
  30. 76
  31. 39
  32. 4
  33. 34
  34. 33
  35. 28
  36. 18
  37. 35
  38. 26
  39. 68
  40. 36

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