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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 97 · 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? 67, 58, 49, 40, 31, ? (a) 21 (b) 22 (c) 23 (d) 13
  2. 2.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 14 (c) 17 (d) 15
  3. 3.What comes next? 51, 46, 41, 36, 31, ? (a) 27 (b) 26 (c) 21 (d) 25
  4. 4.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 1 (c) 7 (d) 6
  5. 5.What comes next? 29, 39, 49, 59, 69, ? (a) 78 (b) 89 (c) 80 (d) 79
  6. 6.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 36 (c) 37 (d) 39
  7. 7.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  8. 8.What comes next? 12, 16, 20, 24, 28, ? (a) 36 (b) 32 (c) 31 (d) 33
  9. 9.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 9 (c) 10 (d) 12
  10. 10.What comes next? 16, 24, 32, 40, 48, ? (a) 56 (b) 57 (c) 64 (d) 55
  11. 11.What comes next? 27, 36, 45, 54, 63, ? (a) 73 (b) 81 (c) 71 (d) 72
  12. 12.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 34 (c) 36 (d) 35
  13. 13.What comes next? 48, 44, 40, 36, 32, ? (a) 24 (b) 27 (c) 29 (d) 28
  14. 14.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 48 (c) 50 (d) 47
  15. 15.What comes next? 21, 24, 27, 30, 33, ? (a) 37 (b) 35 (c) 36 (d) 39
  16. 16.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 11 (c) 12 (d) 10
  17. 17.What comes next? 4, 16, 28, 40, 52, ? (a) 63 (b) 76 (c) 64 (d) 65
  18. 18.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 66 (c) 68 (d) 67
  19. 19.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 34 (c) 35 (d) 33
  20. 20.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 13 (c) 10 (d) 11
  21. 21.What comes next? 7, 9, 11, 13, 15, ? (a) 16 (b) 19 (c) 18 (d) 17
  22. 22.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 33 (b) 30 (c) 28 (d) 27
  23. 23.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 14 (b) 22 (c) 13 (d) 20
  24. 24.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 20 (c) 22 (d) 21
  25. 25.What comes next? 11, 14, 17, 20, 23, ? (a) 27 (b) 29 (c) 26 (d) 25
  26. 26.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 3 (c) 5 (d) 2
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  28. 28.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 23 (c) 24 (d) 25
  29. 29.What comes next? 3, 10, 4, 11, 5, 12, ? (a) 6 (b) 5 (c) 18 (d) 19
  30. 30.What comes next? 30, 41, 52, 63, 74, ? (a) 96 (b) 84 (c) 86 (d) 85
  31. 31.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 27 (b) 20 (c) 26 (d) 19
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  33. 33.What comes next? 15, 23, 31, 39, 47, ? (a) 54 (b) 63 (c) 55 (d) 56
  34. 34.What comes next? 20, 29, 25, 34, 30, 39, ? (a) 34 (b) 35 (c) 48 (d) 43
  35. 35.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  36. 36.What comes next? 4, 15, 26, 37, 48, ? (a) 70 (b) 59 (c) 58 (d) 60
  37. 37.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 35 (c) 33 (d) 32
  38. 38.What comes next? 11, 17, 12, 18, 13, 19, ? (a) 14 (b) 13 (c) 25 (d) 24
  39. 39.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 11 (c) 15 (d) 10
  40. 40.What comes next? 50, 43, 36, 29, 22, ? (a) 15 (b) 16 (c) 14 (d) 8

Answer key

  1. 22
  2. 15
  3. 26
  4. 6
  5. 79
  6. 37
  7. 2
  8. 32
  9. 10
  10. 56
  11. 72
  12. 35
  13. 28
  14. 48
  15. 36
  16. 11
  17. 64
  18. 67
  19. 34
  20. 11
  21. 17
  22. 28
  23. 14
  24. 21
  25. 26
  26. 3
  27. 81
  28. 23
  29. 6
  30. 85
  31. 20
  32. 160
  33. 55
  34. 35
  35. 128
  36. 59
  37. 33
  38. 14
  39. 11
  40. 15

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