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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 502 · 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? 18, 29, 40, 51, 62, ? (a) 72 (b) 84 (c) 73 (d) 74
  2. 2.What comes next? 16, 26, 36, 46, 56, ? (a) 67 (b) 65 (c) 76 (d) 66
  3. 3.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 22 (c) 24 (d) 23
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  5. 5.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 58 (c) 50 (d) 51
  6. 6.What comes next? 50, 45, 40, 35, 30, ? (a) 20 (b) 25 (c) 24 (d) 26
  7. 7.What comes next? 40, 36, 32, 28, 24, ? (a) 20 (b) 16 (c) 21 (d) 19
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  10. 10.What comes next? 58, 49, 40, 31, 22, ? (a) 4 (b) 14 (c) 13 (d) 12
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  12. 12.What comes next? 20, 23, 26, 29, 32, ? (a) 34 (b) 36 (c) 38 (d) 35
  13. 13.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 14 (c) 8 (d) 9
  14. 14.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 28 (b) 27 (c) 35 (d) 30
  15. 15.What comes next? 15, 23, 31, 39, 47, ? (a) 63 (b) 56 (c) 54 (d) 55
  16. 16.What comes next? 17, 26, 23, 32, 29, 38, ? (a) 47 (b) 34 (c) 35 (d) 41
  17. 17.What comes next? 18, 30, 42, 54, 66, ? (a) 79 (b) 90 (c) 77 (d) 78
  18. 18.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  19. 19.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 7 (c) 6 (d) 9
  20. 20.What comes next? 13, 25, 37, 49, 61, ? (a) 74 (b) 73 (c) 85 (d) 72
  21. 21.What comes next? 19, 30, 41, 52, 63, ? (a) 74 (b) 75 (c) 85 (d) 73
  22. 22.What comes next? 26, 30, 34, 38, 42, ? (a) 47 (b) 46 (c) 45 (d) 50
  23. 23.What comes next? 23, 19, 15, 11, 7, ? (a) 4 (b) 2 (c) 5 (d) 3
  24. 24.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 15 (b) 9 (c) 10 (d) 14
  25. 25.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 36 (c) 34 (d) 33
  26. 26.What comes next? 13, 19, 25, 31, 37, ? (a) 44 (b) 43 (c) 42 (d) 49
  27. 27.What comes next? 8, 19, 30, 41, 52, ? (a) 62 (b) 63 (c) 74 (d) 64
  28. 28.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 26 (c) 29 (d) 28
  29. 29.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 9 (c) 6 (d) 8
  30. 30.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 14 (c) 17 (d) 15
  31. 31.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  32. 32.What comes next? 17, 24, 31, 38, 45, ? (a) 59 (b) 52 (c) 53 (d) 51
  33. 33.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 24 (c) 25 (d) 16
  34. 34.What comes next? 5, 12, 6, 13, 7, 14, ? (a) 20 (b) 21 (c) 7 (d) 8
  35. 35.What comes next? 73, 64, 55, 46, 37, ? (a) 28 (b) 27 (c) 19 (d) 29
  36. 36.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 28 (c) 26 (d) 27
  37. 37.What comes next? 11, 16, 14, 19, 17, 22, ? (a) 19 (b) 27 (c) 20 (d) 24
  38. 38.What comes next? 35, 32, 29, 26, 23, ? (a) 19 (b) 17 (c) 20 (d) 21
  39. 39.What comes next? 15, 27, 39, 51, 63, ? (a) 87 (b) 76 (c) 75 (d) 74
  40. 40.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 23 (c) 20 (d) 21

Answer key

  1. 73
  2. 66
  3. 22
  4. 128
  5. 50
  6. 25
  7. 20
  8. 162
  9. 243
  10. 13
  11. 81
  12. 35
  13. 9
  14. 28
  15. 55
  16. 35
  17. 78
  18. 160
  19. 7
  20. 73
  21. 74
  22. 46
  23. 3
  24. 10
  25. 34
  26. 43
  27. 63
  28. 27
  29. 7
  30. 15
  31. 96
  32. 52
  33. 24
  34. 8
  35. 28
  36. 27
  37. 20
  38. 20
  39. 75
  40. 21

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