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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 614 · 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? 58, 51, 44, 37, 30, ? (a) 16 (b) 24 (c) 22 (d) 23
  2. 2.What comes next? 13, 22, 20, 29, 27, 36, ? (a) 34 (b) 45 (c) 33 (d) 38
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  4. 4.What comes next? 4, 15, 26, 37, 48, ? (a) 70 (b) 58 (c) 60 (d) 59
  5. 5.What comes next? 45, 37, 29, 21, 13, ? (a) 5 (b) 4 (c) 7 (d) 6
  6. 6.What comes next? 21, 27, 33, 39, 45, ? (a) 52 (b) 51 (c) 57 (d) 50
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  8. 8.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 1 (c) 2 (d) 4
  9. 9.What comes next? 12, 22, 32, 42, 52, ? (a) 63 (b) 72 (c) 61 (d) 62
  10. 10.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 44 (d) 43
  11. 11.What comes next? 43, 36, 29, 22, 15, ? (a) 8 (b) 1 (c) 9 (d) 7
  12. 12.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 40 (c) 47 (d) 39
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  14. 14.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 49 (c) 50 (d) 54
  15. 15.What comes next? 40, 35, 30, 25, 20, ? (a) 10 (b) 16 (c) 14 (d) 15
  16. 16.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 34 (c) 33 (d) 35
  17. 17.What comes next? 23, 35, 47, 59, 71, ? (a) 82 (b) 83 (c) 95 (d) 84
  18. 18.What comes next? 43, 37, 31, 25, 19, ? (a) 14 (b) 12 (c) 13 (d) 7
  19. 19.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 59 (c) 61 (d) 60
  20. 20.What comes next? 23, 32, 41, 50, 59, ? (a) 69 (b) 68 (c) 77 (d) 67
  21. 21.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 25 (c) 27 (d) 24
  22. 22.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 34 (d) 37
  23. 23.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  24. 24.What comes next? 22, 29, 36, 43, 50, ? (a) 58 (b) 56 (c) 64 (d) 57
  25. 25.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 37 (b) 31 (c) 30 (d) 33
  26. 26.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 31 (c) 32 (d) 30
  27. 27.What comes next? 40, 36, 32, 28, 24, ? (a) 21 (b) 16 (c) 20 (d) 19
  28. 28.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 3 (d) 4
  29. 29.What comes next? 3, 12, 21, 30, 39, ? (a) 47 (b) 57 (c) 49 (d) 48
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  31. 31.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  32. 32.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 13 (b) 18 (c) 17 (d) 12
  33. 33.What comes next? 23, 20, 17, 14, 11, ? (a) 7 (b) 9 (c) 8 (d) 5
  34. 34.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 22 (c) 23 (d) 20
  35. 35.What comes next? 16, 26, 36, 46, 56, ? (a) 67 (b) 65 (c) 76 (d) 66
  36. 36.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  37. 37.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 25 (b) 32 (c) 26 (d) 36
  38. 38.What comes next? 6, 13, 9, 16, 12, 19, ? (a) 23 (b) 14 (c) 26 (d) 15
  39. 39.What comes next? 18, 26, 21, 29, 24, 32, ? (a) 27 (b) 37 (c) 26 (d) 40
  40. 40.What comes next? 29, 37, 45, 53, 61, ? (a) 69 (b) 68 (c) 70 (d) 77

Answer key

  1. 23
  2. 34
  3. 192
  4. 59
  5. 5
  6. 51
  7. 32
  8. 1
  9. 62
  10. 44
  11. 8
  12. 40
  13. 81
  14. 50
  15. 15
  16. 34
  17. 83
  18. 13
  19. 60
  20. 68
  21. 25
  22. 35
  23. 243
  24. 57
  25. 31
  26. 30
  27. 20
  28. 1
  29. 48
  30. 96
  31. 64
  32. 13
  33. 8
  34. 21
  35. 66
  36. 28
  37. 26
  38. 15
  39. 27
  40. 69

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