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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 500 · 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, 15, 18, 22, 27, ? (a) 34 (b) 32 (c) 33 (d) 35
  2. 2.What comes next? 7, 16, 9, 18, 11, 20, ? (a) 27 (b) 12 (c) 29 (d) 13
  3. 3.What comes next? 3, 10, 4, 11, 5, 12, ? (a) 19 (b) 18 (c) 6 (d) 5
  4. 4.What comes next? 5, 14, 23, 32, 41, ? (a) 49 (b) 51 (c) 50 (d) 59
  5. 5.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 18 (c) 19 (d) 16
  6. 6.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  7. 7.What comes next? 4, 12, 6, 14, 8, 16, ? (a) 24 (b) 9 (c) 22 (d) 10
  8. 8.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 3 (c) 2 (d) 1
  9. 9.What comes next? 6, 16, 26, 36, 46, ? (a) 66 (b) 57 (c) 55 (d) 56
  10. 10.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 40 (d) 38
  11. 11.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 36 (c) 34 (d) 35
  12. 12.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 18 (b) 16 (c) 10 (d) 9
  13. 13.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 44 (c) 41 (d) 43
  14. 14.What comes next? 7, 18, 29, 40, 51, ? (a) 62 (b) 73 (c) 61 (d) 63
  15. 15.What comes next? 49, 43, 37, 31, 25, ? (a) 18 (b) 19 (c) 13 (d) 20
  16. 16.What comes next? 21, 33, 45, 57, 69, ? (a) 80 (b) 82 (c) 81 (d) 93
  17. 17.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 35 (c) 33 (d) 34
  18. 18.What comes next? 4, 6, 8, 10, 12, ? (a) 14 (b) 15 (c) 16 (d) 13
  19. 19.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 10 (b) 5 (c) 6 (d) 11
  20. 20.What comes next? 1, 5, 4, 8, 7, 11, ? (a) 9 (b) 15 (c) 10 (d) 12
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  22. 22.What comes next? 59, 52, 45, 38, 31, ? (a) 17 (b) 25 (c) 24 (d) 23
  23. 23.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 33 (b) 31 (c) 30 (d) 37
  24. 24.What comes next? 33, 31, 29, 27, 25, ? (a) 21 (b) 22 (c) 23 (d) 24
  25. 25.What comes next? 22, 18, 14, 10, 6, ? (a) 1 (b) 3 (c) 4 (d) 2
  26. 26.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 33 (c) 34 (d) 32
  27. 27.What comes next? 4, 8, 12, 16, 20, ? (a) 24 (b) 28 (c) 25 (d) 23
  28. 28.What comes next? 24, 30, 36, 42, 48, ? (a) 54 (b) 55 (c) 60 (d) 53
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  30. 30.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 14 (b) 3 (c) 15 (d) 4
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  32. 32.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 6 (b) 13 (c) 15 (d) 7
  33. 33.What comes next? 27, 33, 39, 45, 51, ? (a) 56 (b) 63 (c) 58 (d) 57
  34. 34.What comes next? 4, 10, 16, 22, 28, ? (a) 33 (b) 34 (c) 40 (d) 35
  35. 35.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 64 (c) 72 (d) 63
  36. 36.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 3 (c) 1 (d) 4
  37. 37.What comes next? 8, 15, 13, 20, 18, 25, ? (a) 22 (b) 32 (c) 23 (d) 27
  38. 38.What comes next? 23, 25, 27, 29, 31, ? (a) 34 (b) 35 (c) 33 (d) 32
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  40. 40.What comes next? 11, 14, 17, 20, 23, ? (a) 29 (b) 25 (c) 27 (d) 26

Answer key

  1. 33
  2. 13
  3. 6
  4. 50
  5. 19
  6. 192
  7. 10
  8. 2
  9. 56
  10. 39
  11. 35
  12. 10
  13. 42
  14. 62
  15. 19
  16. 81
  17. 33
  18. 14
  19. 6
  20. 10
  21. 96
  22. 24
  23. 31
  24. 23
  25. 2
  26. 32
  27. 24
  28. 54
  29. 162
  30. 4
  31. 243
  32. 7
  33. 57
  34. 34
  35. 63
  36. 2
  37. 23
  38. 33
  39. 160
  40. 26

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