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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 163 · 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? 13, 16, 20, 25, 31, ? (a) 37 (b) 39 (c) 40 (d) 38
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  4. 4.What comes next? 30, 34, 38, 42, 46, ? (a) 54 (b) 51 (c) 50 (d) 49
  5. 5.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 14 (b) 16 (c) 12 (d) 11
  6. 6.What comes next? 6, 13, 11, 18, 16, 23, ? (a) 21 (b) 20 (c) 25 (d) 30
  7. 7.What comes next? 58, 50, 42, 34, 26, ? (a) 18 (b) 17 (c) 10 (d) 19
  8. 8.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 39 (c) 40 (d) 41
  9. 9.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 21 (d) 20
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  11. 11.What comes next? 61, 52, 43, 34, 25, ? (a) 16 (b) 15 (c) 17 (d) 7
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  13. 13.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 41 (c) 47 (d) 40
  14. 14.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 8 (c) 7 (d) 6
  15. 15.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 32 (b) 27 (c) 24 (d) 25
  16. 16.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 42 (c) 41 (d) 44
  17. 17.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 12 (c) 13 (d) 10
  18. 18.What comes next? 4, 13, 8, 17, 12, 21, ? (a) 15 (b) 26 (c) 16 (d) 30
  19. 19.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 34 (c) 35 (d) 33
  20. 20.What comes next? 9, 15, 12, 18, 15, 21, ? (a) 18 (b) 27 (c) 24 (d) 17
  21. 21.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  22. 22.What comes next? 4, 12, 11, 19, 18, 26, ? (a) 25 (b) 34 (c) 24 (d) 27
  23. 23.What comes next? 34, 31, 28, 25, 22, ? (a) 19 (b) 18 (c) 16 (d) 20
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  25. 25.What comes next? 22, 32, 42, 52, 62, ? (a) 71 (b) 82 (c) 73 (d) 72
  26. 26.What comes next? 42, 35, 28, 21, 14, ? (a) 9 (b) 8 (c) 7 (d) 6
  27. 27.What comes next? 12, 24, 36, 48, 60, ? (a) 73 (b) 84 (c) 71 (d) 72
  28. 28.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 18 (b) 24 (c) 20 (d) 17
  29. 29.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 8 (c) 7 (d) 9
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  31. 31.What comes next? 59, 53, 47, 41, 35, ? (a) 23 (b) 30 (c) 28 (d) 29
  32. 32.What comes next? 10, 19, 18, 27, 26, 35, ? (a) 33 (b) 34 (c) 44 (d) 36
  33. 33.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 10 (c) 11 (d) 9
  34. 34.What comes next? 31, 27, 23, 19, 15, ? (a) 7 (b) 11 (c) 12 (d) 10
  35. 35.What comes next? 45, 38, 31, 24, 17, ? (a) 3 (b) 11 (c) 9 (d) 10
  36. 36.What comes next? 19, 17, 15, 13, 11, ? (a) 9 (b) 7 (c) 8 (d) 10
  37. 37.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 30 (c) 28 (d) 31
  38. 38.What comes next? 69, 61, 53, 45, 37, ? (a) 30 (b) 28 (c) 21 (d) 29
  39. 39.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 32 (c) 34 (d) 31
  40. 40.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 8 (c) 10 (d) 11

Answer key

  1. 38
  2. 32
  3. 243
  4. 50
  5. 12
  6. 21
  7. 18
  8. 40
  9. 21
  10. 162
  11. 16
  12. 81
  13. 40
  14. 7
  15. 25
  16. 42
  17. 12
  18. 16
  19. 33
  20. 18
  21. 160
  22. 25
  23. 19
  24. 128
  25. 72
  26. 7
  27. 72
  28. 18
  29. 8
  30. 96
  31. 29
  32. 34
  33. 10
  34. 11
  35. 10
  36. 9
  37. 29
  38. 29
  39. 32
  40. 11

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