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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 501 · 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? 25, 37, 49, 61, 73, ? (a) 86 (b) 97 (c) 85 (d) 84
  2. 2.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 5 (c) 6 (d) 2
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  4. 4.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 27 (d) 26
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  6. 6.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 44 (d) 46
  7. 7.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 19 (c) 16 (d) 18
  8. 8.What comes next? 14, 24, 34, 44, 54, ? (a) 63 (b) 64 (c) 74 (d) 65
  9. 9.What comes next? 11, 17, 23, 29, 35, ? (a) 40 (b) 42 (c) 47 (d) 41
  10. 10.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 32 (c) 33 (d) 35
  11. 11.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 2 (c) 4 (d) 3
  12. 12.What comes next? 19, 28, 27, 36, 35, 44, ? (a) 45 (b) 43 (c) 42 (d) 53
  13. 13.What comes next? 1, 10, 8, 17, 15, 24, ? (a) 33 (b) 26 (c) 22 (d) 21
  14. 14.What comes next? 24, 36, 48, 60, 72, ? (a) 96 (b) 85 (c) 83 (d) 84
  15. 15.What comes next? 19, 23, 27, 31, 35, ? (a) 43 (b) 38 (c) 39 (d) 40
  16. 16.What comes next? 54, 47, 40, 33, 26, ? (a) 20 (b) 19 (c) 18 (d) 12
  17. 17.What comes next? 23, 28, 33, 38, 43, ? (a) 47 (b) 49 (c) 48 (d) 53
  18. 18.What comes next? 18, 20, 22, 24, 26, ? (a) 29 (b) 28 (c) 30 (d) 27
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  20. 20.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 49 (c) 51 (d) 50
  21. 21.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 33 (c) 34 (d) 32
  22. 22.What comes next? 34, 30, 26, 22, 18, ? (a) 13 (b) 15 (c) 10 (d) 14
  23. 23.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 36 (b) 24 (c) 25 (d) 33
  24. 24.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 22 (c) 24 (d) 23
  25. 25.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 47 (c) 46 (d) 51
  26. 26.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 14 (b) 25 (c) 15 (d) 23
  27. 27.What comes next? 46, 42, 38, 34, 30, ? (a) 25 (b) 22 (c) 27 (d) 26
  28. 28.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 14 (b) 7 (c) 13 (d) 6
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  30. 30.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  31. 31.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 50 (c) 51 (d) 58
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  33. 33.What comes next? 18, 24, 30, 36, 42, ? (a) 49 (b) 47 (c) 48 (d) 54
  34. 34.What comes next? 13, 21, 29, 37, 45, ? (a) 54 (b) 53 (c) 61 (d) 52
  35. 35.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 5 (c) 4 (d) 7
  36. 36.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 19 (b) 27 (c) 29 (d) 18
  37. 37.What comes next? 11, 23, 35, 47, 59, ? (a) 71 (b) 70 (c) 72 (d) 83
  38. 38.What comes next? 24, 32, 40, 48, 56, ? (a) 65 (b) 72 (c) 64 (d) 63
  39. 39.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 5 (c) 4 (d) 6
  40. 40.What comes next? 2, 9, 6, 13, 10, 17, ? (a) 24 (b) 20 (c) 14 (d) 13

Answer key

  1. 85
  2. 6
  3. 81
  4. 27
  5. 162
  6. 44
  7. 19
  8. 64
  9. 41
  10. 33
  11. 3
  12. 43
  13. 22
  14. 84
  15. 39
  16. 19
  17. 48
  18. 28
  19. 128
  20. 50
  21. 33
  22. 14
  23. 25
  24. 22
  25. 47
  26. 15
  27. 26
  28. 7
  29. 243
  30. 64
  31. 50
  32. 32
  33. 48
  34. 53
  35. 5
  36. 19
  37. 71
  38. 64
  39. 5
  40. 14

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