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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 504 · 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? 21, 17, 13, 9, 5, ? (a) 4 (b) 1 (c) 3 (d) 2
  2. 2.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 31 (c) 30 (d) 32
  3. 3.What comes next? 28, 23, 18, 13, 8, ? (a) 2 (b) 5 (c) 4 (d) 3
  4. 4.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 15 (c) 18 (d) 17
  5. 5.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 21 (c) 23 (d) 22
  6. 6.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 43 (c) 45 (d) 44
  7. 7.What comes next? 31, 26, 21, 16, 11, ? (a) 7 (b) 6 (c) 1 (d) 5
  8. 8.What comes next? 12, 22, 32, 42, 52, ? (a) 72 (b) 61 (c) 63 (d) 62
  9. 9.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 35 (c) 33 (d) 34
  10. 10.What comes next? 19, 27, 35, 43, 51, ? (a) 60 (b) 58 (c) 59 (d) 67
  11. 11.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 22 (b) 15 (c) 14 (d) 19
  12. 12.What comes next? 21, 24, 27, 30, 33, ? (a) 39 (b) 36 (c) 37 (d) 35
  13. 13.What comes next? 4, 9, 14, 19, 24, ? (a) 34 (b) 30 (c) 28 (d) 29
  14. 14.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 44 (c) 38 (d) 37
  15. 15.What comes next? 58, 51, 44, 37, 30, ? (a) 22 (b) 16 (c) 24 (d) 23
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 97 (d) 120
  18. 18.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 15 (b) 24 (c) 20 (d) 16
  19. 19.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 55 (c) 56 (d) 54
  20. 20.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 37 (c) 36 (d) 35
  21. 21.What comes next? 11, 20, 16, 25, 21, 30, ? (a) 39 (b) 34 (c) 25 (d) 26
  22. 22.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 2 (c) 4 (d) 1
  23. 23.What comes next? 5, 14, 6, 15, 7, 16, ? (a) 8 (b) 25 (c) 24 (d) 7
  24. 24.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 35 (d) 36
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  26. 26.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 16 (c) 14 (d) 15
  27. 27.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 16 (c) 13 (d) 14
  28. 28.What comes next? 11, 20, 13, 22, 15, 24, ? (a) 33 (b) 16 (c) 17 (d) 31
  29. 29.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  30. 30.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 39 (c) 38 (d) 40
  31. 31.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 36 (b) 35 (c) 23 (d) 22
  32. 32.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 5 (c) 3 (d) 2
  33. 33.What comes next? 45, 38, 31, 24, 17, ? (a) 11 (b) 3 (c) 9 (d) 10
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  35. 35.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 38 (c) 39 (d) 41
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  37. 37.What comes next? 17, 25, 33, 41, 49, ? (a) 57 (b) 58 (c) 65 (d) 56
  38. 38.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 27 (d) 29
  39. 39.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 22 (c) 20 (d) 21
  40. 40.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 24 (c) 16 (d) 25

Answer key

  1. 1
  2. 31
  3. 3
  4. 16
  5. 22
  6. 44
  7. 6
  8. 62
  9. 34
  10. 59
  11. 15
  12. 36
  13. 29
  14. 37
  15. 23
  16. 32
  17. 96
  18. 16
  19. 55
  20. 36
  21. 26
  22. 1
  23. 8
  24. 34
  25. 128
  26. 15
  27. 14
  28. 17
  29. 160
  30. 38
  31. 23
  32. 3
  33. 10
  34. 162
  35. 39
  36. 243
  37. 57
  38. 27
  39. 21
  40. 24

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