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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 123 · 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? 20, 24, 29, 35, 42, ? (a) 50 (b) 51 (c) 52 (d) 49
  2. 2.What comes next? 32, 27, 22, 17, 12, ? (a) 7 (b) 6 (c) 2 (d) 8
  3. 3.What comes next? 9, 16, 11, 18, 13, 20, ? (a) 27 (b) 14 (c) 25 (d) 15
  4. 4.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 5 (c) 2 (d) 3
  5. 5.What comes next? 11, 16, 21, 26, 31, ? (a) 41 (b) 35 (c) 37 (d) 36
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  7. 7.What comes next? 13, 17, 21, 25, 29, ? (a) 32 (b) 33 (c) 34 (d) 37
  8. 8.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 40 (c) 43 (d) 41
  9. 9.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 36 (c) 38 (d) 35
  10. 10.What comes next? 6, 10, 14, 18, 22, ? (a) 30 (b) 25 (c) 26 (d) 27
  11. 11.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 25 (b) 24 (c) 30 (d) 27
  12. 12.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 27 (c) 26 (d) 28
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  14. 14.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 33 (c) 35 (d) 32
  15. 15.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 22 (c) 20 (d) 21
  16. 16.What comes next? 33, 29, 25, 21, 17, ? (a) 14 (b) 9 (c) 12 (d) 13
  17. 17.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 31 (d) 29
  18. 18.What comes next? 13, 21, 29, 37, 45, ? (a) 61 (b) 52 (c) 54 (d) 53
  19. 19.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 40 (b) 37 (c) 25 (d) 24
  20. 20.What comes next? 42, 35, 28, 21, 14, ? (a) 7 (b) 8 (c) 9 (d) 6
  21. 21.What comes next? 17, 21, 25, 29, 33, ? (a) 37 (b) 38 (c) 36 (d) 41
  22. 22.What comes next? 46, 42, 38, 34, 30, ? (a) 22 (b) 26 (c) 25 (d) 27
  23. 23.What comes next? 18, 29, 40, 51, 62, ? (a) 74 (b) 72 (c) 84 (d) 73
  24. 24.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 13 (c) 16 (d) 14
  25. 25.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 26 (c) 23 (d) 25
  26. 26.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 45 (c) 46 (d) 44
  27. 27.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 33 (c) 31 (d) 30
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  29. 29.What comes next? 23, 30, 37, 44, 51, ? (a) 57 (b) 65 (c) 58 (d) 59
  30. 30.What comes next? 63, 54, 45, 36, 27, ? (a) 9 (b) 19 (c) 17 (d) 18
  31. 31.What comes next? 4, 9, 14, 19, 24, ? (a) 34 (b) 29 (c) 30 (d) 28
  32. 32.What comes next? 26, 22, 18, 14, 10, ? (a) 5 (b) 2 (c) 6 (d) 7
  33. 33.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  34. 34.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  35. 35.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 11 (c) 12 (d) 4
  36. 36.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 24 (b) 15 (c) 25 (d) 16
  37. 37.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 4 (c) 1 (d) 5
  38. 38.What comes next? 33, 28, 23, 18, 13, ? (a) 8 (b) 7 (c) 3 (d) 9
  39. 39.What comes next? 16, 23, 17, 24, 18, 25, ? (a) 19 (b) 18 (c) 31 (d) 32
  40. 40.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 33 (c) 37 (d) 35

Answer key

  1. 50
  2. 7
  3. 15
  4. 3
  5. 36
  6. 64
  7. 33
  8. 41
  9. 36
  10. 26
  11. 25
  12. 27
  13. 243
  14. 33
  15. 20
  16. 13
  17. 29
  18. 53
  19. 25
  20. 7
  21. 37
  22. 26
  23. 73
  24. 15
  25. 25
  26. 45
  27. 31
  28. 162
  29. 58
  30. 18
  31. 29
  32. 6
  33. 192
  34. 34
  35. 12
  36. 16
  37. 4
  38. 8
  39. 19
  40. 34

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