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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 441 · 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? 30, 34, 38, 42, 46, ? (a) 51 (b) 50 (c) 54 (d) 49
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  3. 3.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 27 (c) 25 (d) 28
  4. 4.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 45 (c) 47 (d) 46
  5. 5.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 28 (d) 26
  6. 6.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 1 (c) 6 (d) 7
  7. 7.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 62 (c) 61 (d) 60
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  9. 9.What comes next? 2, 7, 5, 10, 8, 13, ? (a) 11 (b) 15 (c) 10 (d) 18
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  11. 11.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 35 (c) 33 (d) 34
  12. 12.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 20 (d) 19
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  14. 14.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 7 (c) 10 (d) 8
  15. 15.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 37 (d) 38
  16. 16.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 56 (c) 57 (d) 58
  17. 17.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41
  18. 18.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 15 (b) 16 (c) 22 (d) 20
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  20. 20.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 18 (b) 24 (c) 19 (d) 21
  21. 21.What comes next? 15, 25, 35, 45, 55, ? (a) 65 (b) 64 (c) 66 (d) 75
  22. 22.What comes next? 19, 30, 41, 52, 63, ? (a) 75 (b) 85 (c) 74 (d) 73
  23. 23.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 7 (c) 8 (d) 9
  24. 24.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 27 (d) 28
  25. 25.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 15 (b) 14 (c) 17 (d) 20
  26. 26.What comes next? 6, 12, 10, 16, 14, 20, ? (a) 18 (b) 22 (c) 26 (d) 17
  27. 27.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 29 (b) 15 (c) 24 (d) 16
  28. 28.What comes next? 24, 22, 20, 18, 16, ? (a) 14 (b) 13 (c) 15 (d) 12
  29. 29.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 74 (c) 76 (d) 75
  30. 30.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 39 (d) 40
  31. 31.What comes next? 13, 16, 19, 22, 25, ? (a) 29 (b) 27 (c) 28 (d) 31
  32. 32.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 30 (b) 27 (c) 25 (d) 24
  33. 33.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 20 (b) 25 (c) 27 (d) 21
  34. 34.What comes next? 30, 25, 20, 15, 10, ? (a) 4 (b) 7 (c) 5 (d) 6
  35. 35.What comes next? 47, 43, 39, 35, 31, ? (a) 23 (b) 26 (c) 27 (d) 28
  36. 36.What comes next? 4, 9, 14, 19, 24, ? (a) 34 (b) 30 (c) 29 (d) 28
  37. 37.What comes next? 13, 20, 27, 34, 41, ? (a) 47 (b) 49 (c) 48 (d) 55
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  39. 39.What comes next? 48, 44, 40, 36, 32, ? (a) 24 (b) 29 (c) 27 (d) 28
  40. 40.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 35 (d) 36

Answer key

  1. 50
  2. 64
  3. 26
  4. 45
  5. 26
  6. 7
  7. 61
  8. 162
  9. 11
  10. 96
  11. 34
  12. 19
  13. 32
  14. 8
  15. 37
  16. 57
  17. 41
  18. 16
  19. 192
  20. 19
  21. 65
  22. 74
  23. 8
  24. 28
  25. 15
  26. 18
  27. 16
  28. 14
  29. 75
  30. 39
  31. 28
  32. 25
  33. 21
  34. 5
  35. 27
  36. 29
  37. 48
  38. 128
  39. 28
  40. 35

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