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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 354 · 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? 29, 40, 51, 62, 73, ? (a) 84 (b) 85 (c) 95 (d) 83
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  3. 3.What comes next? 46, 39, 32, 25, 18, ? (a) 11 (b) 4 (c) 12 (d) 10
  4. 4.What comes next? 9, 15, 21, 27, 33, ? (a) 40 (b) 38 (c) 45 (d) 39
  5. 5.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 15 (b) 12 (c) 19 (d) 13
  6. 6.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 7 (c) 5 (d) 1
  7. 7.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 29 (c) 27 (d) 28
  8. 8.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 22 (b) 20 (c) 19 (d) 26
  9. 9.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 28 (b) 26 (c) 23 (d) 24
  10. 10.What comes next? 37, 35, 33, 31, 29, ? (a) 25 (b) 27 (c) 26 (d) 28
  11. 11.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  12. 12.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 32 (c) 33 (d) 31
  13. 13.What comes next? 45, 41, 37, 33, 29, ? (a) 24 (b) 26 (c) 25 (d) 21
  14. 14.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 39 (c) 40 (d) 42
  15. 15.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 35 (c) 36 (d) 34
  16. 16.What comes next? 64, 55, 46, 37, 28, ? (a) 19 (b) 20 (c) 18 (d) 10
  17. 17.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 4 (c) 5 (d) 6
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  19. 19.What comes next? 20, 28, 36, 44, 52, ? (a) 61 (b) 59 (c) 60 (d) 68
  20. 20.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 20 (b) 21 (c) 23 (d) 27
  21. 21.What comes next? 14, 21, 16, 23, 18, 25, ? (a) 30 (b) 20 (c) 19 (d) 32
  22. 22.What comes next? 68, 59, 50, 41, 32, ? (a) 22 (b) 24 (c) 14 (d) 23
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  24. 24.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 16 (b) 21 (c) 15 (d) 20
  25. 25.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 34 (c) 32 (d) 35
  26. 26.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 19 (b) 25 (c) 20 (d) 22
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  28. 28.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 7 (b) 12 (c) 6 (d) 11
  29. 29.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 6 (c) 9 (d) 8
  30. 30.What comes next? 12, 21, 30, 39, 48, ? (a) 58 (b) 56 (c) 57 (d) 66
  31. 31.What comes next? 5, 16, 27, 38, 49, ? (a) 71 (b) 61 (c) 59 (d) 60
  32. 32.What comes next? 11, 17, 14, 20, 17, 23, ? (a) 19 (b) 29 (c) 20 (d) 26
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  34. 34.What comes next? 59, 53, 47, 41, 35, ? (a) 23 (b) 29 (c) 30 (d) 28
  35. 35.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 73 (c) 74 (d) 75
  36. 36.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 30 (c) 27 (d) 28
  37. 37.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 10 (b) 5 (c) 11 (d) 6
  38. 38.What comes next? 20, 28, 21, 29, 22, 30, ? (a) 22 (b) 23 (c) 38 (d) 37
  39. 39.What comes next? 22, 24, 26, 28, 30, ? (a) 32 (b) 31 (c) 33 (d) 34
  40. 40.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 31 (b) 28 (c) 24 (d) 23

Answer key

  1. 84
  2. 64
  3. 11
  4. 39
  5. 13
  6. 6
  7. 27
  8. 20
  9. 24
  10. 27
  11. 192
  12. 31
  13. 25
  14. 40
  15. 34
  16. 19
  17. 5
  18. 96
  19. 60
  20. 21
  21. 20
  22. 23
  23. 128
  24. 16
  25. 33
  26. 20
  27. 160
  28. 7
  29. 8
  30. 57
  31. 60
  32. 20
  33. 32
  34. 29
  35. 74
  36. 28
  37. 6
  38. 23
  39. 32
  40. 24

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