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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 69 · 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? 21, 29, 37, 45, 53, ? (a) 62 (b) 61 (c) 60 (d) 69
  2. 2.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 30 (c) 31 (d) 32
  3. 3.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 22 (c) 24 (d) 23
  4. 4.What comes next? 3, 14, 25, 36, 47, ? (a) 57 (b) 59 (c) 58 (d) 69
  5. 5.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  7. 7.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 47 (c) 46 (d) 48
  8. 8.What comes next? 7, 19, 31, 43, 55, ? (a) 68 (b) 66 (c) 67 (d) 79
  9. 9.What comes next? 36, 30, 24, 18, 12, ? (a) 6 (b) 5 (c) 7 (d) 8
  10. 10.What comes next? 17, 24, 31, 38, 45, ? (a) 59 (b) 52 (c) 53 (d) 51
  11. 11.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  12. 12.What comes next? 14, 23, 21, 30, 28, 37, ? (a) 46 (b) 35 (c) 39 (d) 34
  13. 13.What comes next? 29, 39, 49, 59, 69, ? (a) 89 (b) 78 (c) 80 (d) 79
  14. 14.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 22 (c) 23 (d) 14
  15. 15.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 35 (d) 37
  16. 16.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 2 (c) 4 (d) 1
  17. 17.What comes next? 60, 52, 44, 36, 28, ? (a) 20 (b) 19 (c) 21 (d) 12
  18. 18.What comes next? 31, 27, 23, 19, 15, ? (a) 12 (b) 10 (c) 11 (d) 7
  19. 19.What comes next? 21, 19, 17, 15, 13, ? (a) 9 (b) 12 (c) 10 (d) 11
  20. 20.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 15 (c) 13 (d) 16
  21. 21.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  22. 22.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 22 (b) 25 (c) 17 (d) 18
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  24. 24.What comes next? 12, 17, 15, 20, 18, 23, ? (a) 20 (b) 21 (c) 25 (d) 28
  25. 25.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 16 (b) 15 (c) 18 (d) 20
  26. 26.What comes next? 56, 48, 40, 32, 24, ? (a) 8 (b) 17 (c) 15 (d) 16
  27. 27.What comes next? 19, 25, 24, 30, 29, 35, ? (a) 33 (b) 41 (c) 36 (d) 34
  28. 28.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 6 (b) 5 (c) 10 (d) 11
  29. 29.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 63 (c) 64 (d) 65
  30. 30.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 35 (c) 36 (d) 34
  31. 31.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  33. 33.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 39 (c) 41 (d) 40
  34. 34.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 37 (c) 34 (d) 36
  35. 35.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 33 (c) 34 (d) 31
  36. 36.What comes next? 4, 11, 10, 17, 16, 23, ? (a) 21 (b) 22 (c) 30 (d) 24
  37. 37.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 63 (c) 69 (d) 61
  38. 38.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 5 (c) 3 (d) 4
  39. 39.What comes next? 18, 24, 19, 25, 20, 26, ? (a) 31 (b) 32 (c) 20 (d) 21
  40. 40.What comes next? 4, 12, 6, 14, 8, 16, ? (a) 22 (b) 24 (c) 10 (d) 9

Answer key

  1. 61
  2. 31
  3. 23
  4. 58
  5. 192
  6. 243
  7. 47
  8. 67
  9. 6
  10. 52
  11. 160
  12. 35
  13. 79
  14. 23
  15. 35
  16. 1
  17. 20
  18. 11
  19. 11
  20. 16
  21. 128
  22. 18
  23. 81
  24. 21
  25. 16
  26. 16
  27. 34
  28. 6
  29. 64
  30. 34
  31. 96
  32. 162
  33. 39
  34. 35
  35. 32
  36. 22
  37. 62
  38. 4
  39. 21
  40. 10

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