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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 191 · 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? 7, 10, 13, 16, 19, ? (a) 25 (b) 21 (c) 22 (d) 23
  2. 2.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 20 (b) 13 (c) 19 (d) 12
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  5. 5.What comes next? 72, 63, 54, 45, 36, ? (a) 26 (b) 27 (c) 18 (d) 28
  6. 6.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 2 (c) 8 (d) 10
  7. 7.What comes next? 53, 48, 43, 38, 33, ? (a) 28 (b) 23 (c) 29 (d) 27
  8. 8.What comes next? 66, 58, 50, 42, 34, ? (a) 25 (b) 18 (c) 26 (d) 27
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  10. 10.What comes next? 16, 20, 24, 28, 32, ? (a) 36 (b) 35 (c) 40 (d) 37
  11. 11.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 11 (b) 20 (c) 12 (d) 18
  12. 12.What comes next? 15, 23, 31, 39, 47, ? (a) 56 (b) 63 (c) 55 (d) 54
  13. 13.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 2 (c) 5 (d) 7
  14. 14.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 34 (c) 40 (d) 35
  15. 15.What comes next? 15, 21, 19, 25, 23, 29, ? (a) 35 (b) 26 (c) 27 (d) 31
  16. 16.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 29 (b) 24 (c) 25 (d) 34
  17. 17.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 28 (c) 33 (d) 27
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  19. 19.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 16 (b) 12 (c) 17 (d) 11
  20. 20.What comes next? 25, 35, 45, 55, 65, ? (a) 75 (b) 76 (c) 85 (d) 74
  21. 21.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 4 (c) 7 (d) 5
  22. 22.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 40 (c) 41 (d) 39
  23. 23.What comes next? 22, 32, 42, 52, 62, ? (a) 73 (b) 71 (c) 82 (d) 72
  24. 24.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 34 (c) 35 (d) 33
  25. 25.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 41 (c) 40 (d) 42
  26. 26.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 26 (b) 21 (c) 23 (d) 20
  27. 27.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 36 (d) 34
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  29. 29.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 42 (c) 39 (d) 40
  30. 30.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 29 (d) 27
  31. 31.What comes next? 2, 9, 16, 23, 30, ? (a) 38 (b) 44 (c) 36 (d) 37
  32. 32.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 8 (b) 15 (c) 7 (d) 14
  33. 33.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 18 (c) 17 (d) 14
  34. 34.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 13 (b) 14 (c) 16 (d) 19
  35. 35.What comes next? 39, 35, 31, 27, 23, ? (a) 18 (b) 19 (c) 15 (d) 20
  36. 36.What comes next? 18, 15, 12, 9, 6, ? (a) 3 (b) 2 (c) 5 (d) 4
  37. 37.What comes next? 5, 16, 27, 38, 49, ? (a) 60 (b) 59 (c) 61 (d) 71
  38. 38.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 28 (c) 31 (d) 30
  39. 39.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 28 (b) 22 (c) 23 (d) 27
  40. 40.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 29 (c) 28 (d) 27

Answer key

  1. 22
  2. 13
  3. 81
  4. 160
  5. 27
  6. 9
  7. 28
  8. 26
  9. 243
  10. 36
  11. 12
  12. 55
  13. 6
  14. 35
  15. 27
  16. 25
  17. 28
  18. 32
  19. 12
  20. 75
  21. 5
  22. 40
  23. 72
  24. 33
  25. 41
  26. 21
  27. 34
  28. 162
  29. 40
  30. 28
  31. 37
  32. 8
  33. 17
  34. 14
  35. 19
  36. 3
  37. 60
  38. 29
  39. 23
  40. 27

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