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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 222 · 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? 37, 31, 25, 19, 13, ? (a) 8 (b) 6 (c) 7 (d) 1
  2. 2.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 38 (c) 36 (d) 37
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  4. 4.What comes next? 49, 44, 39, 34, 29, ? (a) 23 (b) 25 (c) 24 (d) 19
  5. 5.What comes next? 12, 19, 26, 33, 40, ? (a) 54 (b) 48 (c) 46 (d) 47
  6. 6.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 7 (c) 9 (d) 8
  7. 7.What comes next? 55, 47, 39, 31, 23, ? (a) 16 (b) 7 (c) 15 (d) 14
  8. 8.What comes next? 22, 30, 38, 46, 54, ? (a) 61 (b) 62 (c) 70 (d) 63
  9. 9.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 30 (c) 27 (d) 31
  10. 10.What comes next? 56, 50, 44, 38, 32, ? (a) 25 (b) 27 (c) 26 (d) 20
  11. 11.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 21 (b) 23 (c) 10 (d) 11
  12. 12.What comes next? 2, 8, 14, 20, 26, ? (a) 31 (b) 33 (c) 32 (d) 38
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  15. 15.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 16 (b) 15 (c) 8 (d) 9
  16. 16.What comes next? 26, 36, 46, 56, 66, ? (a) 77 (b) 86 (c) 75 (d) 76
  17. 17.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 21 (c) 22 (d) 20
  18. 18.What comes next? 16, 18, 20, 22, 24, ? (a) 26 (b) 27 (c) 25 (d) 28
  19. 19.What comes next? 20, 28, 25, 33, 30, 38, ? (a) 35 (b) 46 (c) 34 (d) 41
  20. 20.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 43 (c) 44 (d) 46
  21. 21.What comes next? 30, 42, 54, 66, 78, ? (a) 102 (b) 91 (c) 90 (d) 89
  22. 22.What comes next? 49, 41, 33, 25, 17, ? (a) 9 (b) 10 (c) 8 (d) 1
  23. 23.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 35 (c) 32 (d) 33
  24. 24.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 27 (d) 28
  25. 25.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 24 (b) 18 (c) 17 (d) 20
  26. 26.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 29 (c) 28 (d) 31
  27. 27.What comes next? 50, 46, 42, 38, 34, ? (a) 31 (b) 26 (c) 29 (d) 30
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  29. 29.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 26 (c) 27 (d) 29
  30. 30.What comes next? 19, 26, 23, 30, 27, 34, ? (a) 31 (b) 30 (c) 41 (d) 37
  31. 31.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 65 (c) 58 (d) 57
  32. 32.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 63 (c) 64 (d) 65
  33. 33.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 20 (b) 32 (c) 19 (d) 33
  34. 34.What comes next? 3, 12, 11, 20, 19, 28, ? (a) 27 (b) 37 (c) 29 (d) 26
  35. 35.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  37. 37.What comes next? 29, 25, 21, 17, 13, ? (a) 9 (b) 5 (c) 8 (d) 10
  38. 38.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 25 (c) 22 (d) 24
  39. 39.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 9 (c) 8 (d) 2
  40. 40.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 34 (c) 36 (d) 33

Answer key

  1. 7
  2. 36
  3. 64
  4. 24
  5. 47
  6. 8
  7. 15
  8. 62
  9. 30
  10. 26
  11. 11
  12. 32
  13. 32
  14. 192
  15. 9
  16. 76
  17. 21
  18. 26
  19. 35
  20. 44
  21. 90
  22. 9
  23. 33
  24. 26
  25. 18
  26. 29
  27. 30
  28. 81
  29. 27
  30. 31
  31. 57
  32. 64
  33. 20
  34. 27
  35. 96
  36. 243
  37. 9
  38. 23
  39. 8
  40. 34

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