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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 282 · 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? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  2. 2.What comes next? 4, 12, 20, 28, 36, ? (a) 45 (b) 52 (c) 43 (d) 44
  3. 3.What comes next? 37, 32, 27, 22, 17, ? (a) 7 (b) 11 (c) 13 (d) 12
  4. 4.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 23 (c) 22 (d) 21
  5. 5.What comes next? 26, 36, 46, 56, 66, ? (a) 76 (b) 86 (c) 75 (d) 77
  6. 6.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  7. 7.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 28 (b) 31 (c) 34 (d) 29
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  9. 9.What comes next? 31, 29, 27, 25, 23, ? (a) 22 (b) 21 (c) 20 (d) 19
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  11. 11.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 36 (c) 34 (d) 35
  12. 12.What comes next? 15, 20, 25, 30, 35, ? (a) 40 (b) 41 (c) 45 (d) 39
  13. 13.What comes next? 43, 36, 29, 22, 15, ? (a) 9 (b) 7 (c) 1 (d) 8
  14. 14.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 26 (c) 29 (d) 31
  15. 15.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 31 (d) 29
  16. 16.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 41 (c) 44 (d) 43
  17. 17.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 24 (c) 23 (d) 22
  18. 18.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 25 (c) 24 (d) 28
  19. 19.What comes next? 53, 45, 37, 29, 21, ? (a) 5 (b) 14 (c) 13 (d) 12
  20. 20.What comes next? 25, 22, 19, 16, 13, ? (a) 11 (b) 7 (c) 9 (d) 10
  21. 21.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 60 (c) 61 (d) 68
  22. 22.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 36 (d) 34
  23. 23.What comes next? 72, 63, 54, 45, 36, ? (a) 28 (b) 18 (c) 27 (d) 26
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  25. 25.What comes next? 1, 10, 4, 13, 7, 16, ? (a) 9 (b) 25 (c) 10 (d) 22
  26. 26.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 30 (c) 23 (d) 29
  27. 27.What comes next? 48, 44, 40, 36, 32, ? (a) 24 (b) 27 (c) 29 (d) 28
  28. 28.What comes next? 57, 50, 43, 36, 29, ? (a) 21 (b) 15 (c) 23 (d) 22
  29. 29.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 29 (d) 27
  30. 30.What comes next? 1, 10, 3, 12, 5, 14, ? (a) 23 (b) 21 (c) 7 (d) 6
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  33. 33.What comes next? 22, 28, 34, 40, 46, ? (a) 53 (b) 51 (c) 58 (d) 52
  34. 34.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 67 (c) 79 (d) 69
  35. 35.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 52 (c) 49 (d) 47
  36. 36.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 18 (c) 19 (d) 20
  37. 37.What comes next? 17, 20, 23, 26, 29, ? (a) 31 (b) 35 (c) 32 (d) 33
  38. 38.What comes next? 16, 25, 23, 32, 30, 39, ? (a) 48 (b) 36 (c) 41 (d) 37
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  40. 40.What comes next? 54, 48, 42, 36, 30, ? (a) 25 (b) 18 (c) 24 (d) 23

Answer key

  1. 81
  2. 44
  3. 12
  4. 23
  5. 76
  6. 2
  7. 29
  8. 96
  9. 21
  10. 160
  11. 34
  12. 40
  13. 8
  14. 30
  15. 30
  16. 42
  17. 23
  18. 25
  19. 13
  20. 10
  21. 61
  22. 35
  23. 27
  24. 162
  25. 10
  26. 30
  27. 28
  28. 22
  29. 28
  30. 7
  31. 243
  32. 64
  33. 52
  34. 68
  35. 48
  36. 19
  37. 32
  38. 37
  39. 192
  40. 24

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