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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 199 · 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? 4, 8, 5, 9, 6, 10, ? (a) 6 (b) 13 (c) 7 (d) 14
  2. 2.What comes next? 12, 18, 14, 20, 16, 22, ? (a) 28 (b) 18 (c) 26 (d) 17
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  4. 4.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 17 (b) 3 (c) 16 (d) 4
  5. 5.What comes next? 7, 16, 9, 18, 11, 20, ? (a) 29 (b) 12 (c) 27 (d) 13
  6. 6.What comes next? 22, 18, 14, 10, 6, ? (a) 4 (b) 3 (c) 1 (d) 2
  7. 7.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 14 (c) 16 (d) 15
  8. 8.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 51 (c) 50 (d) 52
  9. 9.What comes next? 18, 28, 38, 48, 58, ? (a) 67 (b) 68 (c) 78 (d) 69
  10. 10.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 46 (c) 41 (d) 42
  11. 11.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 3 (c) 1 (d) 2
  12. 12.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 42 (d) 44
  13. 13.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 9 (c) 16 (d) 17
  14. 14.What comes next? 19, 27, 35, 43, 51, ? (a) 60 (b) 67 (c) 59 (d) 58
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  16. 16.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 16 (b) 15 (c) 27 (d) 24
  17. 17.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 26 (c) 28 (d) 27
  18. 18.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 30 (c) 33 (d) 32
  19. 19.What comes next? 61, 54, 47, 40, 33, ? (a) 26 (b) 27 (c) 25 (d) 19
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  21. 21.What comes next? 15, 27, 39, 51, 63, ? (a) 87 (b) 74 (c) 76 (d) 75
  22. 22.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 19 (c) 18 (d) 21
  23. 23.What comes next? 26, 34, 42, 50, 58, ? (a) 66 (b) 74 (c) 67 (d) 65
  24. 24.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 8 (c) 7 (d) 9
  25. 25.What comes next? 11, 17, 23, 29, 35, ? (a) 40 (b) 42 (c) 47 (d) 41
  26. 26.What comes next? 11, 17, 13, 19, 15, 21, ? (a) 27 (b) 25 (c) 16 (d) 17
  27. 27.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 53 (c) 52 (d) 51
  28. 28.What comes next? 4, 10, 5, 11, 6, 12, ? (a) 6 (b) 18 (c) 17 (d) 7
  29. 29.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 10 (c) 8 (d) 11
  30. 30.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 19 (b) 20 (c) 14 (d) 15
  31. 31.What comes next? 28, 26, 24, 22, 20, ? (a) 16 (b) 17 (c) 18 (d) 19
  32. 32.What comes next? 18, 25, 32, 39, 46, ? (a) 53 (b) 54 (c) 60 (d) 52
  33. 33.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 1 (c) 2 (d) 4
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  35. 35.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  36. 36.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 25 (c) 23 (d) 21
  37. 37.What comes next? 5, 12, 10, 17, 15, 22, ? (a) 29 (b) 20 (c) 19 (d) 24
  38. 38.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 36 (c) 34 (d) 35
  39. 39.What comes next? 18, 23, 28, 33, 38, ? (a) 48 (b) 44 (c) 43 (d) 42
  40. 40.What comes next? 5, 14, 23, 32, 41, ? (a) 49 (b) 59 (c) 51 (d) 50

Answer key

  1. 7
  2. 18
  3. 128
  4. 4
  5. 13
  6. 2
  7. 15
  8. 51
  9. 68
  10. 42
  11. 1
  12. 43
  13. 17
  14. 59
  15. 162
  16. 16
  17. 27
  18. 31
  19. 26
  20. 96
  21. 75
  22. 19
  23. 66
  24. 9
  25. 41
  26. 17
  27. 52
  28. 7
  29. 11
  30. 15
  31. 18
  32. 53
  33. 2
  34. 81
  35. 160
  36. 21
  37. 20
  38. 35
  39. 43
  40. 50

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