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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 70 · 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? 39, 32, 25, 18, 11, ? (a) 5 (b) 6 (c) 4 (d) 3
  2. 2.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 18 (c) 19 (d) 20
  3. 3.What comes next? 16, 25, 34, 43, 52, ? (a) 62 (b) 61 (c) 60 (d) 70
  4. 4.What comes next? 1, 6, 4, 9, 7, 12, ? (a) 14 (b) 10 (c) 17 (d) 9
  5. 5.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 27 (c) 24 (d) 29
  6. 6.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 23 (c) 17 (d) 22
  7. 7.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 19 (b) 13 (c) 18 (d) 14
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  9. 9.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 25 (c) 27 (d) 26
  10. 10.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 2 (c) 4 (d) 3
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  12. 12.What comes next? 14, 22, 19, 27, 24, 32, ? (a) 28 (b) 35 (c) 29 (d) 40
  13. 13.What comes next? 41, 34, 27, 20, 13, ? (a) 8 (b) 7 (c) 6 (d) 5
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  15. 15.What comes next? 62, 53, 44, 35, 26, ? (a) 17 (b) 16 (c) 18 (d) 8
  16. 16.What comes next? 67, 58, 49, 40, 31, ? (a) 21 (b) 22 (c) 23 (d) 13
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  18. 18.What comes next? 15, 23, 21, 29, 27, 35, ? (a) 32 (b) 37 (c) 43 (d) 33
  19. 19.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 28 (c) 31 (d) 27
  20. 20.What comes next? 49, 40, 31, 22, 13, ? (a) 3 (b) 4 (c) 5 (d) 6
  21. 21.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  22. 22.What comes next? 4, 9, 14, 19, 24, ? (a) 30 (b) 29 (c) 34 (d) 28
  23. 23.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 23 (c) 22 (d) 14
  24. 24.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 65 (c) 57 (d) 58
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  26. 26.What comes next? 2, 14, 26, 38, 50, ? (a) 62 (b) 61 (c) 74 (d) 63
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  28. 28.What comes next? 19, 28, 37, 46, 55, ? (a) 63 (b) 73 (c) 64 (d) 65
  29. 29.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 4 (c) 1 (d) 3
  30. 30.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 19 (b) 23 (c) 21 (d) 18
  31. 31.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 52 (c) 49 (d) 50
  32. 32.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 20 (b) 14 (c) 17 (d) 15
  33. 33.What comes next? 5, 8, 11, 14, 17, ? (a) 19 (b) 23 (c) 20 (d) 21
  34. 34.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 39 (c) 40 (d) 42
  35. 35.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  36. 36.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 17 (c) 14 (d) 15
  37. 37.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 30 (d) 28
  38. 38.What comes next? 17, 23, 20, 26, 23, 29, ? (a) 32 (b) 26 (c) 35 (d) 25
  39. 39.What comes next? 2, 8, 4, 10, 6, 12, ? (a) 16 (b) 8 (c) 7 (d) 18
  40. 40.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 20 (b) 16 (c) 15 (d) 21

Answer key

  1. 4
  2. 19
  3. 61
  4. 10
  5. 25
  6. 23
  7. 14
  8. 243
  9. 26
  10. 2
  11. 162
  12. 29
  13. 6
  14. 96
  15. 17
  16. 22
  17. 64
  18. 33
  19. 27
  20. 4
  21. 160
  22. 29
  23. 22
  24. 57
  25. 81
  26. 62
  27. 128
  28. 64
  29. 2
  30. 19
  31. 50
  32. 15
  33. 20
  34. 40
  35. 32
  36. 15
  37. 28
  38. 26
  39. 8
  40. 16

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