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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 551 · 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? 31, 25, 19, 13, 7, ? (a) 1 (b) 3 (c) 4 (d) 2
  2. 2.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 19 (b) 17 (c) 16 (d) 22
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  4. 4.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 49 (c) 47 (d) 48
  5. 5.What comes next? 50, 42, 34, 26, 18, ? (a) 9 (b) 11 (c) 10 (d) 2
  6. 6.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 24 (b) 20 (c) 22 (d) 19
  7. 7.What comes next? 15, 24, 33, 42, 51, ? (a) 61 (b) 69 (c) 59 (d) 60
  8. 8.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 4 (c) 3 (d) 2
  9. 9.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 21 (c) 18 (d) 19
  10. 10.What comes next? 44, 41, 38, 35, 32, ? (a) 26 (b) 29 (c) 28 (d) 30
  11. 11.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 56 (c) 58 (d) 57
  12. 12.What comes next? 9, 16, 23, 30, 37, ? (a) 44 (b) 43 (c) 45 (d) 51
  13. 13.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 15 (b) 12 (c) 13 (d) 18
  14. 14.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 34 (c) 36 (d) 35
  15. 15.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 88 (c) 89 (d) 90
  16. 16.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  17. 17.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 36 (d) 34
  18. 18.What comes next? 54, 46, 38, 30, 22, ? (a) 14 (b) 13 (c) 6 (d) 15
  19. 19.What comes next? 4, 6, 8, 10, 12, ? (a) 16 (b) 15 (c) 13 (d) 14
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  21. 21.What comes next? 3, 8, 13, 18, 23, ? (a) 33 (b) 29 (c) 27 (d) 28
  22. 22.What comes next? 25, 35, 45, 55, 65, ? (a) 75 (b) 76 (c) 85 (d) 74
  23. 23.What comes next? 12, 21, 17, 26, 22, 31, ? (a) 27 (b) 35 (c) 26 (d) 40
  24. 24.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 75 (c) 63 (d) 64
  25. 25.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 69 (c) 68 (d) 67
  26. 26.What comes next? 53, 46, 39, 32, 25, ? (a) 18 (b) 19 (c) 17 (d) 11
  27. 27.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 7 (c) 5 (d) 8
  28. 28.What comes next? 56, 48, 40, 32, 24, ? (a) 17 (b) 15 (c) 16 (d) 8
  29. 29.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 39 (c) 40 (d) 38
  30. 30.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 14 (b) 15 (c) 19 (d) 22
  31. 31.What comes next? 20, 22, 24, 26, 28, ? (a) 31 (b) 29 (c) 32 (d) 30
  32. 32.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 27 (d) 28
  33. 33.What comes next? 47, 41, 35, 29, 23, ? (a) 18 (b) 16 (c) 17 (d) 11
  34. 34.What comes next? 24, 26, 28, 30, 32, ? (a) 33 (b) 35 (c) 34 (d) 36
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  36. 36.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 22 (c) 21 (d) 19
  37. 37.What comes next? 10, 12, 15, 19, 24, ? (a) 30 (b) 32 (c) 29 (d) 31
  38. 38.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 11 (c) 10 (d) 5
  39. 39.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 43 (d) 44
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193

Answer key

  1. 1
  2. 17
  3. 160
  4. 48
  5. 10
  6. 20
  7. 60
  8. 2
  9. 19
  10. 29
  11. 57
  12. 44
  13. 13
  14. 35
  15. 89
  16. 81
  17. 34
  18. 14
  19. 14
  20. 96
  21. 28
  22. 75
  23. 27
  24. 64
  25. 68
  26. 18
  27. 8
  28. 16
  29. 39
  30. 15
  31. 30
  32. 27
  33. 17
  34. 34
  35. 243
  36. 20
  37. 30
  38. 11
  39. 44
  40. 192

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