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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 364 · 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? 29, 33, 37, 41, 45, ? (a) 48 (b) 49 (c) 53 (d) 50
  2. 2.What comes next? 15, 24, 33, 42, 51, ? (a) 69 (b) 59 (c) 60 (d) 61
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  4. 4.What comes next? 8, 20, 32, 44, 56, ? (a) 68 (b) 69 (c) 80 (d) 67
  5. 5.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 20 (d) 19
  6. 6.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 26 (c) 28 (d) 25
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  8. 8.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 33 (b) 24 (c) 36 (d) 25
  9. 9.What comes next? 42, 34, 26, 18, 10, ? (a) 3 (b) 1 (c) 4 (d) 2
  10. 10.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 18 (b) 19 (c) 23 (d) 21
  11. 11.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 43 (c) 42 (d) 44
  12. 12.What comes next? 11, 16, 14, 19, 17, 22, ? (a) 24 (b) 19 (c) 20 (d) 27
  13. 13.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 6 (c) 5 (d) 4
  14. 14.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 23 (c) 21 (d) 22
  15. 15.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 11 (b) 6 (c) 5 (d) 10
  16. 16.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  17. 17.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 5 (c) 6 (d) 4
  18. 18.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 37 (c) 39 (d) 38
  19. 19.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 12 (b) 19 (c) 18 (d) 11
  20. 20.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 27 (b) 25 (c) 32 (d) 24
  21. 21.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 23 (c) 22 (d) 20
  22. 22.What comes next? 11, 22, 33, 44, 55, ? (a) 65 (b) 67 (c) 66 (d) 77
  23. 23.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 19 (b) 20 (c) 33 (d) 32
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  25. 25.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  26. 26.What comes next? 27, 31, 35, 39, 43, ? (a) 46 (b) 48 (c) 47 (d) 51
  27. 27.What comes next? 12, 20, 28, 36, 44, ? (a) 51 (b) 53 (c) 52 (d) 60
  28. 28.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 21 (b) 31 (c) 22 (d) 26
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  30. 30.What comes next? 42, 36, 30, 24, 18, ? (a) 11 (b) 12 (c) 6 (d) 13
  31. 31.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 33 (d) 32
  32. 32.What comes next? 8, 13, 9, 14, 10, 15, ? (a) 10 (b) 20 (c) 11 (d) 19
  33. 33.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 14 (b) 4 (c) 15 (d) 3
  34. 34.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 37 (d) 39
  35. 35.What comes next? 52, 46, 40, 34, 28, ? (a) 22 (b) 23 (c) 21 (d) 16
  36. 36.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 17 (d) 18
  37. 37.What comes next? 23, 25, 27, 29, 31, ? (a) 35 (b) 34 (c) 33 (d) 32
  38. 38.What comes next? 20, 22, 24, 26, 28, ? (a) 29 (b) 30 (c) 32 (d) 31
  39. 39.What comes next? 3, 11, 19, 27, 35, ? (a) 42 (b) 51 (c) 44 (d) 43
  40. 40.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 8 (c) 7 (d) 4

Answer key

  1. 49
  2. 60
  3. 128
  4. 68
  5. 19
  6. 25
  7. 81
  8. 25
  9. 2
  10. 19
  11. 42
  12. 20
  13. 5
  14. 22
  15. 6
  16. 160
  17. 4
  18. 38
  19. 12
  20. 25
  21. 21
  22. 66
  23. 20
  24. 96
  25. 192
  26. 47
  27. 52
  28. 22
  29. 162
  30. 12
  31. 31
  32. 11
  33. 4
  34. 37
  35. 22
  36. 17
  37. 33
  38. 30
  39. 43
  40. 7

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