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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 319 · 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? 20, 22, 25, 29, 34, ? (a) 41 (b) 42 (c) 39 (d) 40
  2. 2.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 44 (c) 46 (d) 45
  3. 3.What comes next? 17, 28, 39, 50, 61, ? (a) 73 (b) 83 (c) 71 (d) 72
  4. 4.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 13 (c) 16 (d) 10
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  7. 7.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 46 (d) 44
  8. 8.What comes next? 25, 21, 17, 13, 9, ? (a) 4 (b) 6 (c) 5 (d) 1
  9. 9.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 41 (c) 43 (d) 42
  10. 10.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 33 (c) 35 (d) 34
  11. 11.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 7 (b) 14 (c) 8 (d) 12
  12. 12.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 8 (c) 9 (d) 7
  13. 13.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 53 (c) 55 (d) 54
  14. 14.What comes next? 2, 8, 14, 20, 26, ? (a) 31 (b) 33 (c) 32 (d) 38
  15. 15.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 4 (c) 3 (d) 1
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  17. 17.What comes next? 5, 17, 29, 41, 53, ? (a) 66 (b) 77 (c) 64 (d) 65
  18. 18.What comes next? 55, 49, 43, 37, 31, ? (a) 24 (b) 19 (c) 25 (d) 26
  19. 19.What comes next? 1, 9, 8, 16, 15, 23, ? (a) 21 (b) 22 (c) 24 (d) 31
  20. 20.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 23 (c) 22 (d) 21
  21. 21.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 34 (b) 32 (c) 39 (d) 31
  22. 22.What comes next? 24, 35, 46, 57, 68, ? (a) 90 (b) 80 (c) 78 (d) 79
  23. 23.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 34 (c) 33 (d) 32
  24. 24.What comes next? 26, 32, 38, 44, 50, ? (a) 56 (b) 55 (c) 57 (d) 62
  25. 25.What comes next? 12, 15, 18, 21, 24, ? (a) 26 (b) 30 (c) 28 (d) 27
  26. 26.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 31 (b) 25 (c) 29 (d) 24
  27. 27.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 28 (c) 25 (d) 26
  28. 28.What comes next? 37, 30, 23, 16, 9, ? (a) 3 (b) 4 (c) 1 (d) 2
  29. 29.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 27 (d) 26
  30. 30.What comes next? 58, 52, 46, 40, 34, ? (a) 22 (b) 28 (c) 29 (d) 27
  31. 31.What comes next? 20, 29, 38, 47, 56, ? (a) 64 (b) 66 (c) 65 (d) 74
  32. 32.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 20 (c) 21 (d) 23
  33. 33.What comes next? 17, 15, 13, 11, 9, ? (a) 7 (b) 5 (c) 6 (d) 8
  34. 34.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 19 (c) 18 (d) 20
  35. 35.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 30 (c) 31 (d) 29
  36. 36.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  37. 37.What comes next? 21, 29, 37, 45, 53, ? (a) 60 (b) 61 (c) 62 (d) 69
  38. 38.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 45 (c) 46 (d) 44
  39. 39.What comes next? 32, 30, 28, 26, 24, ? (a) 23 (b) 20 (c) 21 (d) 22
  40. 40.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 6 (c) 8 (d) 7

Answer key

  1. 40
  2. 45
  3. 72
  4. 11
  5. 81
  6. 64
  7. 44
  8. 5
  9. 41
  10. 34
  11. 8
  12. 8
  13. 54
  14. 32
  15. 2
  16. 96
  17. 65
  18. 25
  19. 22
  20. 22
  21. 32
  22. 79
  23. 32
  24. 56
  25. 27
  26. 25
  27. 26
  28. 2
  29. 25
  30. 28
  31. 65
  32. 21
  33. 7
  34. 19
  35. 30
  36. 192
  37. 61
  38. 45
  39. 22
  40. 6

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