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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 158 · 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? 22, 33, 44, 55, 66, ? (a) 88 (b) 78 (c) 76 (d) 77
  2. 2.What comes next? 13, 21, 16, 24, 19, 27, ? (a) 35 (b) 32 (c) 21 (d) 22
  3. 3.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 2 (c) 5 (d) 4
  4. 4.What comes next? 47, 40, 33, 26, 19, ? (a) 5 (b) 11 (c) 13 (d) 12
  5. 5.What comes next? 28, 40, 52, 64, 76, ? (a) 87 (b) 88 (c) 100 (d) 89
  6. 6.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 9 (c) 8 (d) 7
  7. 7.What comes next? 16, 26, 36, 46, 56, ? (a) 65 (b) 76 (c) 67 (d) 66
  8. 8.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 44 (c) 42 (d) 43
  9. 9.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 50 (c) 51 (d) 52
  10. 10.What comes next? 22, 29, 36, 43, 50, ? (a) 58 (b) 64 (c) 56 (d) 57
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  12. 12.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 34 (c) 32 (d) 33
  13. 13.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 29 (c) 32 (d) 30
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 128 (d) 129
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  16. 16.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 28 (c) 30 (d) 29
  17. 17.What comes next? 6, 14, 22, 30, 38, ? (a) 47 (b) 46 (c) 45 (d) 54
  18. 18.What comes next? 14, 20, 26, 32, 38, ? (a) 45 (b) 50 (c) 43 (d) 44
  19. 19.What comes next? 2, 11, 20, 29, 38, ? (a) 47 (b) 46 (c) 56 (d) 48
  20. 20.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  21. 21.What comes next? 21, 33, 45, 57, 69, ? (a) 81 (b) 82 (c) 80 (d) 93
  22. 22.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 18 (c) 17 (d) 19
  23. 23.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 37 (c) 44 (d) 38
  24. 24.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 8 (c) 10 (d) 9
  25. 25.What comes next? 9, 19, 29, 39, 49, ? (a) 60 (b) 59 (c) 69 (d) 58
  26. 26.What comes next? 11, 20, 13, 22, 15, 24, ? (a) 33 (b) 17 (c) 31 (d) 16
  27. 27.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 9 (b) 15 (c) 14 (d) 10
  28. 28.What comes next? 15, 18, 21, 24, 27, ? (a) 29 (b) 30 (c) 31 (d) 33
  29. 29.What comes next? 4, 12, 20, 28, 36, ? (a) 45 (b) 43 (c) 52 (d) 44
  30. 30.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 3 (c) 9 (d) 8
  31. 31.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 56 (c) 54 (d) 55
  32. 32.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 33 (b) 38 (c) 30 (d) 31
  33. 33.What comes next? 20, 29, 24, 33, 28, 37, ? (a) 46 (b) 31 (c) 32 (d) 42
  34. 34.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 30 (b) 26 (c) 25 (d) 28
  35. 35.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 33 (c) 31 (d) 30
  36. 36.What comes next? 13, 17, 21, 25, 29, ? (a) 32 (b) 33 (c) 37 (d) 34
  37. 37.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 75 (c) 63 (d) 64
  38. 38.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 11 (b) 21 (c) 10 (d) 19
  39. 39.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 16 (b) 10 (c) 11 (d) 13
  40. 40.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 34 (b) 20 (c) 35 (d) 19

Answer key

  1. 77
  2. 22
  3. 4
  4. 12
  5. 88
  6. 8
  7. 66
  8. 43
  9. 50
  10. 57
  11. 162
  12. 33
  13. 30
  14. 128
  15. 32
  16. 29
  17. 46
  18. 44
  19. 47
  20. 18
  21. 81
  22. 17
  23. 37
  24. 9
  25. 59
  26. 17
  27. 10
  28. 30
  29. 44
  30. 9
  31. 55
  32. 31
  33. 32
  34. 26
  35. 31
  36. 33
  37. 64
  38. 11
  39. 11
  40. 20

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