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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 512 · 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? 46, 40, 34, 28, 22, ? (a) 16 (b) 15 (c) 17 (d) 10
  2. 2.What comes next? 18, 27, 19, 28, 20, 29, ? (a) 38 (b) 20 (c) 37 (d) 21
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  5. 5.What comes next? 18, 24, 22, 28, 26, 32, ? (a) 34 (b) 30 (c) 29 (d) 38
  6. 6.What comes next? 16, 21, 26, 31, 36, ? (a) 42 (b) 40 (c) 41 (d) 46
  7. 7.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 3 (b) 16 (c) 4 (d) 17
  8. 8.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 21 (d) 20
  9. 9.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 1 (c) 3 (d) 4
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  11. 11.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 2 (c) 3 (d) 1
  12. 12.What comes next? 4, 15, 26, 37, 48, ? (a) 60 (b) 70 (c) 59 (d) 58
  13. 13.What comes next? 31, 28, 25, 22, 19, ? (a) 16 (b) 15 (c) 17 (d) 13
  14. 14.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 33 (c) 34 (d) 36
  15. 15.What comes next? 28, 38, 48, 58, 68, ? (a) 78 (b) 79 (c) 88 (d) 77
  16. 16.What comes next? 60, 54, 48, 42, 36, ? (a) 24 (b) 29 (c) 30 (d) 31
  17. 17.What comes next? 19, 30, 41, 52, 63, ? (a) 73 (b) 74 (c) 85 (d) 75
  18. 18.What comes next? 35, 29, 23, 17, 11, ? (a) 6 (b) 4 (c) 5 (d) 7
  19. 19.What comes next? 20, 26, 32, 38, 44, ? (a) 56 (b) 50 (c) 49 (d) 51
  20. 20.What comes next? 13, 20, 14, 21, 15, 22, ? (a) 16 (b) 29 (c) 28 (d) 15
  21. 21.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 17 (b) 15 (c) 21 (d) 14
  22. 22.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  23. 23.What comes next? 30, 40, 50, 60, 70, ? (a) 79 (b) 90 (c) 81 (d) 80
  24. 24.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 2 (c) 1 (d) 4
  25. 25.What comes next? 29, 38, 47, 56, 65, ? (a) 73 (b) 74 (c) 83 (d) 75
  26. 26.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 46 (d) 47
  27. 27.What comes next? 3, 14, 25, 36, 47, ? (a) 57 (b) 69 (c) 58 (d) 59
  28. 28.What comes next? 1, 10, 7, 16, 13, 22, ? (a) 31 (b) 25 (c) 18 (d) 19
  29. 29.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  30. 30.What comes next? 19, 27, 20, 28, 21, 29, ? (a) 37 (b) 36 (c) 21 (d) 22
  31. 31.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 7 (c) 4 (d) 5
  32. 32.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 61 (c) 63 (d) 62
  33. 33.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 24 (c) 20 (d) 25
  34. 34.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 25 (b) 26 (c) 28 (d) 31
  35. 35.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 40 (c) 37 (d) 39
  36. 36.What comes next? 30, 36, 42, 48, 54, ? (a) 59 (b) 60 (c) 61 (d) 66
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  38. 38.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 26 (c) 28 (d) 27
  39. 39.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 6 (c) 7 (d) 8
  40. 40.What comes next? 18, 22, 27, 33, 40, ? (a) 50 (b) 47 (c) 49 (d) 48

Answer key

  1. 16
  2. 21
  3. 162
  4. 128
  5. 30
  6. 41
  7. 4
  8. 21
  9. 1
  10. 32
  11. 2
  12. 59
  13. 16
  14. 34
  15. 78
  16. 30
  17. 74
  18. 5
  19. 50
  20. 16
  21. 15
  22. 243
  23. 80
  24. 3
  25. 74
  26. 46
  27. 58
  28. 19
  29. 192
  30. 22
  31. 5
  32. 62
  33. 24
  34. 26
  35. 38
  36. 60
  37. 64
  38. 26
  39. 6
  40. 48

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