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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 469 · 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, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 39 (d) 37
  2. 2.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 33 (c) 32 (d) 34
  3. 3.What comes next? 11, 20, 17, 26, 23, 32, ? (a) 35 (b) 28 (c) 41 (d) 29
  4. 4.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 8 (c) 7 (d) 5
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  6. 6.What comes next? 22, 26, 30, 34, 38, ? (a) 46 (b) 42 (c) 41 (d) 43
  7. 7.What comes next? 66, 58, 50, 42, 34, ? (a) 26 (b) 27 (c) 18 (d) 25
  8. 8.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 3 (c) 5 (d) 4
  9. 9.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 28 (b) 22 (c) 27 (d) 23
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  11. 11.What comes next? 18, 24, 30, 36, 42, ? (a) 47 (b) 48 (c) 54 (d) 49
  12. 12.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 40 (c) 38 (d) 39
  13. 13.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 16 (b) 17 (c) 19 (d) 21
  14. 14.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 45 (c) 48 (d) 47
  15. 15.What comes next? 41, 37, 33, 29, 25, ? (a) 17 (b) 20 (c) 21 (d) 22
  16. 16.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 28 (b) 27 (c) 30 (d) 33
  17. 17.What comes next? 15, 21, 18, 24, 21, 27, ? (a) 30 (b) 23 (c) 24 (d) 33
  18. 18.What comes next? 7, 15, 12, 20, 17, 25, ? (a) 21 (b) 33 (c) 22 (d) 28
  19. 19.What comes next? 2, 13, 24, 35, 46, ? (a) 58 (b) 56 (c) 57 (d) 68
  20. 20.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 61 (c) 62 (d) 60
  21. 21.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 23 (b) 26 (c) 20 (d) 21
  22. 22.What comes next? 52, 47, 42, 37, 32, ? (a) 27 (b) 22 (c) 26 (d) 28
  23. 23.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 4 (c) 6 (d) 5
  24. 24.What comes next? 12, 21, 30, 39, 48, ? (a) 57 (b) 56 (c) 66 (d) 58
  25. 25.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 37 (c) 38 (d) 39
  26. 26.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  27. 27.What comes next? 15, 17, 19, 21, 23, ? (a) 24 (b) 27 (c) 26 (d) 25
  28. 28.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 29 (d) 30
  29. 29.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 17 (b) 20 (c) 24 (d) 18
  30. 30.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 8 (c) 5 (d) 6
  31. 31.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 31 (c) 30 (d) 29
  32. 32.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  33. 33.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 27 (d) 28
  34. 34.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 43 (c) 44 (d) 45
  35. 35.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 24 (d) 25
  36. 36.What comes next? 15, 22, 20, 27, 25, 32, ? (a) 29 (b) 34 (c) 30 (d) 39
  37. 37.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 43 (c) 44 (d) 42
  38. 38.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 31 (c) 34 (d) 32
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  40. 40.What comes next? 17, 26, 20, 29, 23, 32, ? (a) 38 (b) 26 (c) 41 (d) 25

Answer key

  1. 37
  2. 32
  3. 29
  4. 7
  5. 162
  6. 42
  7. 26
  8. 4
  9. 23
  10. 32
  11. 48
  12. 38
  13. 17
  14. 46
  15. 21
  16. 28
  17. 24
  18. 22
  19. 57
  20. 61
  21. 21
  22. 27
  23. 4
  24. 57
  25. 37
  26. 243
  27. 25
  28. 30
  29. 18
  30. 6
  31. 29
  32. 96
  33. 28
  34. 44
  35. 25
  36. 30
  37. 43
  38. 32
  39. 160
  40. 26

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