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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 346 · 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? 21, 31, 41, 51, 61, ? (a) 70 (b) 72 (c) 71 (d) 81
  2. 2.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 4 (c) 1 (d) 2
  3. 3.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 24 (c) 23 (d) 21
  4. 4.What comes next? 19, 31, 43, 55, 67, ? (a) 78 (b) 80 (c) 79 (d) 91
  5. 5.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 8 (c) 4 (d) 9
  6. 6.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 27 (c) 28 (d) 29
  7. 7.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 15 (b) 7 (c) 13 (d) 6
  8. 8.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 45 (c) 44 (d) 46
  9. 9.What comes next? 6, 14, 22, 30, 38, ? (a) 46 (b) 45 (c) 47 (d) 54
  10. 10.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 24 (b) 31 (c) 29 (d) 25
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  12. 12.What comes next? 55, 48, 41, 34, 27, ? (a) 21 (b) 20 (c) 19 (d) 13
  13. 13.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 35 (c) 34 (d) 40
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  15. 15.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 19 (b) 26 (c) 18 (d) 25
  16. 16.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 24 (d) 27
  17. 17.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 63 (c) 69 (d) 61
  18. 18.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 29 (c) 28 (d) 30
  19. 19.What comes next? 9, 16, 23, 30, 37, ? (a) 44 (b) 51 (c) 43 (d) 45
  20. 20.What comes next? 6, 12, 18, 24, 30, ? (a) 42 (b) 35 (c) 36 (d) 37
  21. 21.What comes next? 48, 44, 40, 36, 32, ? (a) 27 (b) 28 (c) 24 (d) 29
  22. 22.What comes next? 21, 28, 35, 42, 49, ? (a) 56 (b) 57 (c) 55 (d) 63
  23. 23.What comes next? 19, 16, 13, 10, 7, ? (a) 4 (b) 5 (c) 1 (d) 3
  24. 24.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 3 (c) 5 (d) 4
  25. 25.What comes next? 14, 25, 36, 47, 58, ? (a) 69 (b) 70 (c) 80 (d) 68
  26. 26.What comes next? 6, 11, 16, 21, 26, ? (a) 30 (b) 31 (c) 36 (d) 32
  27. 27.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 4 (c) 1 (d) 2
  28. 28.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  29. 29.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 31 (c) 34 (d) 33
  30. 30.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 4 (c) 2 (d) 1
  31. 31.What comes next? 19, 27, 35, 43, 51, ? (a) 60 (b) 67 (c) 59 (d) 58
  32. 32.What comes next? 3, 9, 15, 21, 27, ? (a) 33 (b) 34 (c) 32 (d) 39
  33. 33.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 15 (c) 13 (d) 12
  34. 34.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 6 (c) 9 (d) 10
  35. 35.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 38 (d) 37
  36. 36.What comes next? 70, 62, 54, 46, 38, ? (a) 31 (b) 22 (c) 29 (d) 30
  37. 37.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 28 (d) 27
  38. 38.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 15 (b) 19 (c) 14 (d) 17
  39. 39.What comes next? 11, 17, 23, 29, 35, ? (a) 40 (b) 42 (c) 47 (d) 41
  40. 40.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 9 (b) 14 (c) 8 (d) 13

Answer key

  1. 71
  2. 2
  3. 24
  4. 79
  5. 9
  6. 27
  7. 7
  8. 45
  9. 46
  10. 25
  11. 81
  12. 20
  13. 35
  14. 162
  15. 19
  16. 25
  17. 62
  18. 30
  19. 44
  20. 36
  21. 28
  22. 56
  23. 4
  24. 4
  25. 69
  26. 31
  27. 3
  28. 16
  29. 32
  30. 1
  31. 59
  32. 33
  33. 13
  34. 9
  35. 37
  36. 30
  37. 26
  38. 15
  39. 41
  40. 9

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