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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 602 · 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? 2, 11, 3, 12, 4, 13, ? (a) 21 (b) 5 (c) 4 (d) 22
  2. 2.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 34 (d) 36
  3. 3.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 61 (c) 60 (d) 71
  4. 4.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 31 (b) 38 (c) 27 (d) 26
  5. 5.What comes next? 3, 15, 27, 39, 51, ? (a) 62 (b) 75 (c) 64 (d) 63
  6. 6.What comes next? 32, 29, 26, 23, 20, ? (a) 17 (b) 18 (c) 16 (d) 14
  7. 7.What comes next? 1, 8, 6, 13, 11, 18, ? (a) 15 (b) 25 (c) 20 (d) 16
  8. 8.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 21 (d) 20
  9. 9.What comes next? 2, 8, 14, 20, 26, ? (a) 32 (b) 38 (c) 33 (d) 31
  10. 10.What comes next? 15, 23, 20, 28, 25, 33, ? (a) 36 (b) 41 (c) 29 (d) 30
  11. 11.What comes next? 15, 27, 39, 51, 63, ? (a) 76 (b) 87 (c) 75 (d) 74
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  13. 13.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 71 (c) 69 (d) 82
  14. 14.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 30 (c) 29 (d) 28
  15. 15.What comes next? 46, 42, 38, 34, 30, ? (a) 25 (b) 27 (c) 22 (d) 26
  16. 16.What comes next? 35, 31, 27, 23, 19, ? (a) 11 (b) 14 (c) 15 (d) 16
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  19. 19.What comes next? 26, 34, 42, 50, 58, ? (a) 66 (b) 65 (c) 74 (d) 67
  20. 20.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 39 (c) 37 (d) 38
  21. 21.What comes next? 55, 50, 45, 40, 35, ? (a) 29 (b) 30 (c) 25 (d) 31
  22. 22.What comes next? 2, 7, 4, 9, 6, 11, ? (a) 8 (b) 14 (c) 16 (d) 7
  23. 23.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 26 (b) 16 (c) 27 (d) 15
  24. 24.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 23 (c) 21 (d) 22
  25. 25.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 31 (c) 30 (d) 36
  26. 26.What comes next? 27, 36, 45, 54, 63, ? (a) 71 (b) 81 (c) 73 (d) 72
  27. 27.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 28 (b) 34 (c) 38 (d) 27
  28. 28.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 5 (c) 3 (d) 2
  29. 29.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 34 (c) 37 (d) 36
  30. 30.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 26 (b) 25 (c) 32 (d) 30
  31. 31.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 8 (c) 12 (d) 14
  32. 32.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 50 (d) 49
  33. 33.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 43 (d) 44
  34. 34.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  35. 35.What comes next? 17, 27, 37, 47, 57, ? (a) 66 (b) 67 (c) 68 (d) 77
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  37. 37.What comes next? 48, 39, 30, 21, 12, ? (a) 3 (b) 4 (c) 5 (d) 2
  38. 38.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 60 (c) 61 (d) 62
  39. 39.What comes next? 13, 25, 37, 49, 61, ? (a) 74 (b) 85 (c) 73 (d) 72
  40. 40.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 53 (c) 52 (d) 51

Answer key

  1. 5
  2. 35
  3. 60
  4. 27
  5. 63
  6. 17
  7. 16
  8. 21
  9. 32
  10. 30
  11. 75
  12. 81
  13. 70
  14. 29
  15. 26
  16. 15
  17. 96
  18. 64
  19. 66
  20. 37
  21. 30
  22. 8
  23. 16
  24. 22
  25. 31
  26. 72
  27. 28
  28. 3
  29. 35
  30. 26
  31. 8
  32. 49
  33. 44
  34. 160
  35. 67
  36. 162
  37. 3
  38. 61
  39. 73
  40. 52

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