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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 182 · 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? 25, 37, 49, 61, 73, ? (a) 97 (b) 86 (c) 85 (d) 84
  2. 2.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 2 (c) 4 (d) 1
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  5. 5.What comes next? 39, 36, 33, 30, 27, ? (a) 23 (b) 21 (c) 25 (d) 24
  6. 6.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 37 (d) 38
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  8. 8.What comes next? 44, 40, 36, 32, 28, ? (a) 24 (b) 23 (c) 20 (d) 25
  9. 9.What comes next? 27, 36, 45, 54, 63, ? (a) 71 (b) 73 (c) 72 (d) 81
  10. 10.What comes next? 25, 33, 41, 49, 57, ? (a) 73 (b) 65 (c) 66 (d) 64
  11. 11.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 29 (d) 31
  12. 12.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 40 (c) 41 (d) 42
  13. 13.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 41 (c) 39 (d) 38
  14. 14.What comes next? 14, 16, 18, 20, 22, ? (a) 26 (b) 23 (c) 25 (d) 24
  15. 15.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 17 (c) 14 (d) 16
  16. 16.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 23 (c) 20 (d) 21
  17. 17.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 23 (b) 28 (c) 24 (d) 31
  18. 18.What comes next? 47, 38, 29, 20, 11, ? (a) 2 (b) 3 (c) 4 (d) 1
  19. 19.What comes next? 29, 41, 53, 65, 77, ? (a) 90 (b) 88 (c) 89 (d) 101
  20. 20.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  21. 21.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 20 (b) 29 (c) 25 (d) 21
  22. 22.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 24 (b) 15 (c) 29 (d) 16
  23. 23.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 8 (b) 9 (c) 4 (d) 3
  24. 24.What comes next? 23, 27, 31, 35, 39, ? (a) 43 (b) 47 (c) 42 (d) 44
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  26. 26.What comes next? 3, 9, 5, 11, 7, 13, ? (a) 8 (b) 19 (c) 9 (d) 17
  27. 27.What comes next? 9, 15, 12, 18, 15, 21, ? (a) 27 (b) 17 (c) 18 (d) 24
  28. 28.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 3 (c) 1 (d) 2
  29. 29.What comes next? 18, 22, 26, 30, 34, ? (a) 39 (b) 37 (c) 42 (d) 38
  30. 30.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 14 (c) 10 (d) 9
  31. 31.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 20 (b) 26 (c) 23 (d) 21
  32. 32.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 4 (c) 3 (d) 2
  33. 33.What comes next? 37, 30, 23, 16, 9, ? (a) 2 (b) 4 (c) 3 (d) 1
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  35. 35.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 4 (d) 1
  36. 36.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 43 (c) 42 (d) 49
  37. 37.What comes next? 19, 28, 23, 32, 27, 36, ? (a) 30 (b) 45 (c) 31 (d) 41
  38. 38.What comes next? 62, 55, 48, 41, 34, ? (a) 27 (b) 26 (c) 28 (d) 20
  39. 39.What comes next? 20, 22, 24, 26, 28, ? (a) 31 (b) 32 (c) 29 (d) 30
  40. 40.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 39 (c) 40 (d) 43

Answer key

  1. 85
  2. 1
  3. 160
  4. 32
  5. 24
  6. 37
  7. 64
  8. 24
  9. 72
  10. 65
  11. 29
  12. 41
  13. 39
  14. 24
  15. 16
  16. 21
  17. 24
  18. 2
  19. 89
  20. 192
  21. 21
  22. 16
  23. 4
  24. 43
  25. 128
  26. 9
  27. 18
  28. 2
  29. 38
  30. 10
  31. 21
  32. 3
  33. 2
  34. 81
  35. 5
  36. 42
  37. 31
  38. 27
  39. 30
  40. 40

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