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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 607 · 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? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 192 (d) 240
  2. 2.What comes next? 5, 14, 6, 15, 7, 16, ? (a) 8 (b) 25 (c) 7 (d) 24
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  4. 4.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 25 (c) 27 (d) 26
  5. 5.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 1 (c) 3 (d) 2
  6. 6.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 31 (c) 32 (d) 33
  7. 7.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 6 (d) 5
  8. 8.What comes next? 24, 26, 28, 30, 32, ? (a) 36 (b) 33 (c) 35 (d) 34
  9. 9.What comes next? 48, 44, 40, 36, 32, ? (a) 28 (b) 24 (c) 29 (d) 27
  10. 10.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  12. 12.What comes next? 31, 27, 23, 19, 15, ? (a) 7 (b) 12 (c) 11 (d) 10
  13. 13.What comes next? 24, 31, 38, 45, 52, ? (a) 59 (b) 58 (c) 60 (d) 66
  14. 14.What comes next? 2, 13, 24, 35, 46, ? (a) 58 (b) 68 (c) 56 (d) 57
  15. 15.What comes next? 25, 35, 45, 55, 65, ? (a) 85 (b) 76 (c) 74 (d) 75
  16. 16.What comes next? 60, 54, 48, 42, 36, ? (a) 30 (b) 24 (c) 31 (d) 29
  17. 17.What comes next? 1, 9, 8, 16, 15, 23, ? (a) 31 (b) 22 (c) 21 (d) 24
  18. 18.What comes next? 29, 27, 25, 23, 21, ? (a) 20 (b) 18 (c) 19 (d) 17
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  20. 20.What comes next? 5, 9, 13, 17, 21, ? (a) 25 (b) 24 (c) 29 (d) 26
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  22. 22.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 38 (c) 35 (d) 37
  23. 23.What comes next? 6, 14, 7, 15, 8, 16, ? (a) 8 (b) 23 (c) 24 (d) 9
  24. 24.What comes next? 42, 38, 34, 30, 26, ? (a) 18 (b) 23 (c) 22 (d) 21
  25. 25.What comes next? 17, 29, 41, 53, 65, ? (a) 89 (b) 78 (c) 76 (d) 77
  26. 26.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 8 (b) 7 (c) 10 (d) 12
  27. 27.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 4 (c) 5 (d) 7
  28. 28.What comes next? 14, 26, 38, 50, 62, ? (a) 86 (b) 73 (c) 74 (d) 75
  29. 29.What comes next? 3, 10, 6, 13, 9, 16, ? (a) 20 (b) 11 (c) 12 (d) 23
  30. 30.What comes next? 37, 32, 27, 22, 17, ? (a) 7 (b) 13 (c) 12 (d) 11
  31. 31.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 50 (c) 49 (d) 48
  32. 32.What comes next? 41, 36, 31, 26, 21, ? (a) 11 (b) 17 (c) 15 (d) 16
  33. 33.What comes next? 27, 25, 23, 21, 19, ? (a) 15 (b) 17 (c) 16 (d) 18
  34. 34.What comes next? 3, 15, 27, 39, 51, ? (a) 75 (b) 64 (c) 62 (d) 63
  35. 35.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 18 (c) 20 (d) 17
  36. 36.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 27 (b) 22 (c) 21 (d) 26
  37. 37.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 31 (c) 30 (d) 28
  38. 38.What comes next? 16, 25, 34, 43, 52, ? (a) 61 (b) 62 (c) 60 (d) 70
  39. 39.What comes next? 17, 25, 19, 27, 21, 29, ? (a) 35 (b) 37 (c) 23 (d) 22
  40. 40.What comes next? 5, 14, 12, 21, 19, 28, ? (a) 37 (b) 25 (c) 30 (d) 26

Answer key

  1. 192
  2. 8
  3. 160
  4. 26
  5. 1
  6. 31
  7. 5
  8. 34
  9. 28
  10. 64
  11. 81
  12. 11
  13. 59
  14. 57
  15. 75
  16. 30
  17. 22
  18. 19
  19. 243
  20. 25
  21. 96
  22. 36
  23. 9
  24. 22
  25. 77
  26. 8
  27. 5
  28. 74
  29. 12
  30. 12
  31. 49
  32. 16
  33. 17
  34. 63
  35. 18
  36. 22
  37. 29
  38. 61
  39. 23
  40. 26

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