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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 136 · 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? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  2. 2.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 21 (c) 19 (d) 20
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  4. 4.What comes next? 12, 18, 15, 21, 18, 24, ? (a) 27 (b) 20 (c) 21 (d) 30
  5. 5.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 31 (b) 26 (c) 21 (d) 22
  6. 6.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 40 (c) 39 (d) 37
  7. 7.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 33 (c) 34 (d) 36
  8. 8.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 24 (c) 25 (d) 26
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  10. 10.What comes next? 20, 31, 42, 53, 64, ? (a) 74 (b) 75 (c) 76 (d) 86
  11. 11.What comes next? 15, 18, 21, 24, 27, ? (a) 29 (b) 30 (c) 33 (d) 31
  12. 12.What comes next? 43, 40, 37, 34, 31, ? (a) 29 (b) 28 (c) 25 (d) 27
  13. 13.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 7 (c) 8 (d) 9
  14. 14.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 40 (c) 38 (d) 41
  15. 15.What comes next? 36, 29, 22, 15, 8, ? (a) 1 (b) 4 (c) 3 (d) 2
  16. 16.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 20 (b) 19 (c) 14 (d) 15
  17. 17.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 37 (c) 35 (d) 34
  18. 18.What comes next? 2, 4, 6, 8, 10, ? (a) 13 (b) 12 (c) 11 (d) 14
  19. 19.What comes next? 52, 46, 40, 34, 28, ? (a) 23 (b) 22 (c) 16 (d) 21
  20. 20.What comes next? 44, 41, 38, 35, 32, ? (a) 30 (b) 29 (c) 26 (d) 28
  21. 21.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 54 (c) 50 (d) 49
  22. 22.What comes next? 14, 24, 34, 44, 54, ? (a) 65 (b) 74 (c) 64 (d) 63
  23. 23.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 20 (c) 21 (d) 22
  24. 24.What comes next? 14, 19, 17, 22, 20, 25, ? (a) 30 (b) 27 (c) 23 (d) 22
  25. 25.What comes next? 49, 43, 37, 31, 25, ? (a) 18 (b) 13 (c) 20 (d) 19
  26. 26.What comes next? 9, 17, 15, 23, 21, 29, ? (a) 26 (b) 27 (c) 37 (d) 31
  27. 27.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 38 (c) 39 (d) 36
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  29. 29.What comes next? 17, 23, 21, 27, 25, 31, ? (a) 37 (b) 28 (c) 29 (d) 33
  30. 30.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 13 (b) 8 (c) 12 (d) 7
  31. 31.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 6 (c) 4 (d) 5
  32. 32.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 27 (c) 25 (d) 26
  33. 33.What comes next? 55, 46, 37, 28, 19, ? (a) 10 (b) 1 (c) 11 (d) 9
  34. 34.What comes next? 23, 34, 45, 56, 67, ? (a) 77 (b) 78 (c) 89 (d) 79
  35. 35.What comes next? 21, 18, 15, 12, 9, ? (a) 7 (b) 3 (c) 6 (d) 5
  36. 36.What comes next? 13, 20, 27, 34, 41, ? (a) 49 (b) 48 (c) 55 (d) 47
  37. 37.What comes next? 47, 42, 37, 32, 27, ? (a) 17 (b) 22 (c) 23 (d) 21
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  39. 39.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 35 (c) 33 (d) 34
  40. 40.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 17 (c) 18 (d) 19

Answer key

  1. 192
  2. 20
  3. 128
  4. 21
  5. 22
  6. 38
  7. 34
  8. 25
  9. 96
  10. 75
  11. 30
  12. 28
  13. 8
  14. 39
  15. 1
  16. 15
  17. 35
  18. 12
  19. 22
  20. 29
  21. 50
  22. 64
  23. 21
  24. 23
  25. 19
  26. 27
  27. 37
  28. 81
  29. 29
  30. 8
  31. 5
  32. 26
  33. 10
  34. 78
  35. 6
  36. 48
  37. 22
  38. 243
  39. 33
  40. 18

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