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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 213 · 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? 16, 28, 40, 52, 64, ? (a) 88 (b) 77 (c) 75 (d) 76
  2. 2.What comes next? 21, 33, 45, 57, 69, ? (a) 81 (b) 80 (c) 93 (d) 82
  3. 3.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 7 (b) 6 (c) 11 (d) 12
  4. 4.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 43 (c) 42 (d) 44
  5. 5.What comes next? 15, 21, 19, 25, 23, 29, ? (a) 26 (b) 35 (c) 27 (d) 31
  6. 6.What comes next? 20, 29, 26, 35, 32, 41, ? (a) 38 (b) 50 (c) 44 (d) 37
  7. 7.What comes next? 2, 14, 26, 38, 50, ? (a) 62 (b) 61 (c) 63 (d) 74
  8. 8.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 69 (c) 70 (d) 71
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  10. 10.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 30 (c) 29 (d) 28
  11. 11.What comes next? 15, 23, 31, 39, 47, ? (a) 55 (b) 56 (c) 63 (d) 54
  12. 12.What comes next? 47, 43, 39, 35, 31, ? (a) 28 (b) 26 (c) 27 (d) 23
  13. 13.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 20 (b) 19 (c) 31 (d) 30
  14. 14.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 28 (d) 30
  15. 15.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 19 (c) 18 (d) 20
  16. 16.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  17. 17.What comes next? 69, 61, 53, 45, 37, ? (a) 28 (b) 30 (c) 29 (d) 21
  18. 18.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 21 (b) 20 (c) 13 (d) 14
  19. 19.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 3 (c) 1 (d) 2
  20. 20.What comes next? 24, 29, 34, 39, 44, ? (a) 50 (b) 54 (c) 48 (d) 49
  21. 21.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 20 (b) 7 (c) 6 (d) 19
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  23. 23.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 25 (d) 24
  24. 24.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 21 (b) 19 (c) 24 (d) 18
  25. 25.What comes next? 5, 14, 12, 21, 19, 28, ? (a) 37 (b) 26 (c) 25 (d) 30
  26. 26.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 20 (c) 22 (d) 21
  27. 27.What comes next? 14, 19, 15, 20, 16, 21, ? (a) 26 (b) 25 (c) 16 (d) 17
  28. 28.What comes next? 5, 11, 8, 14, 11, 17, ? (a) 23 (b) 20 (c) 13 (d) 14
  29. 29.What comes next? 19, 21, 23, 25, 27, ? (a) 28 (b) 31 (c) 29 (d) 30
  30. 30.What comes next? 5, 17, 29, 41, 53, ? (a) 65 (b) 64 (c) 66 (d) 77
  31. 31.What comes next? 28, 30, 32, 34, 36, ? (a) 40 (b) 38 (c) 39 (d) 37
  32. 32.What comes next? 6, 12, 10, 16, 14, 20, ? (a) 17 (b) 26 (c) 22 (d) 18
  33. 33.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 42 (d) 41
  34. 34.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 35 (c) 34 (d) 36
  35. 35.What comes next? 61, 52, 43, 34, 25, ? (a) 7 (b) 15 (c) 16 (d) 17
  36. 36.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 10 (b) 18 (c) 11 (d) 17
  37. 37.What comes next? 42, 38, 34, 30, 26, ? (a) 18 (b) 22 (c) 21 (d) 23
  38. 38.What comes next? 41, 35, 29, 23, 17, ? (a) 5 (b) 12 (c) 10 (d) 11
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  40. 40.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 17 (d) 16

Answer key

  1. 76
  2. 81
  3. 7
  4. 43
  5. 27
  6. 38
  7. 62
  8. 70
  9. 162
  10. 28
  11. 55
  12. 27
  13. 20
  14. 28
  15. 19
  16. 81
  17. 29
  18. 14
  19. 2
  20. 49
  21. 7
  22. 64
  23. 24
  24. 19
  25. 26
  26. 21
  27. 17
  28. 14
  29. 29
  30. 65
  31. 38
  32. 18
  33. 42
  34. 34
  35. 16
  36. 11
  37. 22
  38. 11
  39. 243
  40. 17

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