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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 555 · 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? 18, 22, 27, 33, 40, ? (a) 50 (b) 48 (c) 47 (d) 49
  2. 2.What comes next? 10, 20, 30, 40, 50, ? (a) 59 (b) 60 (c) 70 (d) 61
  3. 3.What comes next? 14, 22, 20, 28, 26, 34, ? (a) 31 (b) 32 (c) 36 (d) 42
  4. 4.What comes next? 22, 34, 46, 58, 70, ? (a) 94 (b) 83 (c) 81 (d) 82
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  6. 6.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 31 (d) 33
  7. 7.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 22 (b) 19 (c) 25 (d) 20
  8. 8.What comes next? 22, 24, 26, 28, 30, ? (a) 31 (b) 34 (c) 33 (d) 32
  9. 9.What comes next? 36, 29, 22, 15, 8, ? (a) 3 (b) 2 (c) 1 (d) 4
  10. 10.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  11. 11.What comes next? 31, 25, 19, 13, 7, ? (a) 1 (b) 4 (c) 2 (d) 3
  12. 12.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 15 (b) 23 (c) 25 (d) 14
  13. 13.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 25 (b) 17 (c) 18 (d) 24
  14. 14.What comes next? 29, 31, 33, 35, 37, ? (a) 41 (b) 40 (c) 38 (d) 39
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  16. 16.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 8 (c) 7 (d) 4
  17. 17.What comes next? 8, 16, 12, 20, 16, 24, ? (a) 28 (b) 20 (c) 19 (d) 32
  18. 18.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 51 (c) 50 (d) 49
  19. 19.What comes next? 5, 15, 25, 35, 45, ? (a) 55 (b) 54 (c) 56 (d) 65
  20. 20.What comes next? 41, 38, 35, 32, 29, ? (a) 27 (b) 25 (c) 23 (d) 26
  21. 21.What comes next? 49, 43, 37, 31, 25, ? (a) 19 (b) 20 (c) 18 (d) 13
  22. 22.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 30 (b) 35 (c) 28 (d) 27
  23. 23.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 31 (d) 30
  24. 24.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 89 (c) 101 (d) 90
  25. 25.What comes next? 13, 17, 21, 25, 29, ? (a) 37 (b) 32 (c) 34 (d) 33
  26. 26.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 51 (c) 50 (d) 52
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  28. 28.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 18 (b) 20 (c) 7 (d) 8
  29. 29.What comes next? 9, 12, 15, 18, 21, ? (a) 27 (b) 23 (c) 24 (d) 25
  30. 30.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 41 (c) 40 (d) 45
  31. 31.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  32. 32.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 36 (c) 35 (d) 37
  33. 33.What comes next? 61, 53, 45, 37, 29, ? (a) 22 (b) 20 (c) 13 (d) 21
  34. 34.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  35. 35.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 24 (b) 16 (c) 15 (d) 20
  36. 36.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 5 (c) 4 (d) 3
  37. 37.What comes next? 10, 19, 13, 22, 16, 25, ? (a) 34 (b) 18 (c) 31 (d) 19
  38. 38.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 3 (d) 4
  39. 39.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 27 (d) 28
  40. 40.What comes next? 73, 64, 55, 46, 37, ? (a) 19 (b) 29 (c) 28 (d) 27

Answer key

  1. 48
  2. 60
  3. 32
  4. 82
  5. 243
  6. 31
  7. 20
  8. 32
  9. 1
  10. 64
  11. 1
  12. 15
  13. 18
  14. 39
  15. 162
  16. 8
  17. 20
  18. 50
  19. 55
  20. 26
  21. 19
  22. 28
  23. 31
  24. 89
  25. 33
  26. 50
  27. 160
  28. 8
  29. 24
  30. 41
  31. 96
  32. 35
  33. 21
  34. 21
  35. 16
  36. 4
  37. 19
  38. 3
  39. 28
  40. 28

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