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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 62 · 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? 39, 34, 29, 24, 19, ? (a) 9 (b) 15 (c) 14 (d) 13
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  3. 3.What comes next? 17, 28, 39, 50, 61, ? (a) 71 (b) 83 (c) 73 (d) 72
  4. 4.What comes next? 1, 6, 4, 9, 7, 12, ? (a) 14 (b) 10 (c) 17 (d) 9
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  6. 6.What comes next? 11, 19, 27, 35, 43, ? (a) 52 (b) 51 (c) 50 (d) 59
  7. 7.What comes next? 55, 49, 43, 37, 31, ? (a) 24 (b) 25 (c) 19 (d) 26
  8. 8.What comes next? 7, 15, 14, 22, 21, 29, ? (a) 30 (b) 28 (c) 27 (d) 37
  9. 9.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 18 (d) 19
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  11. 11.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 3 (c) 1 (d) 2
  12. 12.What comes next? 13, 21, 19, 27, 25, 33, ? (a) 31 (b) 35 (c) 30 (d) 41
  13. 13.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 27 (d) 24
  14. 14.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 1 (c) 2 (d) 3
  15. 15.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 24 (b) 15 (c) 16 (d) 29
  16. 16.What comes next? 66, 57, 48, 39, 30, ? (a) 20 (b) 22 (c) 12 (d) 21
  17. 17.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 34 (c) 35 (d) 33
  18. 18.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 29 (c) 31 (d) 30
  19. 19.What comes next? 59, 50, 41, 32, 23, ? (a) 15 (b) 5 (c) 14 (d) 13
  20. 20.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 35 (c) 32 (d) 33
  21. 21.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  22. 22.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 41 (c) 39 (d) 40
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  24. 24.What comes next? 23, 19, 15, 11, 7, ? (a) 4 (b) 2 (c) 3 (d) 5
  25. 25.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  26. 26.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 10 (b) 15 (c) 17 (d) 11
  27. 27.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 29 (d) 30
  28. 28.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 27 (c) 26 (d) 25
  29. 29.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 34 (b) 39 (c) 31 (d) 32
  30. 30.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 40 (c) 38 (d) 39
  31. 31.What comes next? 7, 15, 9, 17, 11, 19, ? (a) 13 (b) 25 (c) 12 (d) 27
  32. 32.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 31 (c) 29 (d) 30
  33. 33.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  34. 34.What comes next? 48, 39, 30, 21, 12, ? (a) 2 (b) 5 (c) 3 (d) 4
  35. 35.What comes next? 45, 41, 37, 33, 29, ? (a) 21 (b) 24 (c) 26 (d) 25
  36. 36.What comes next? 2, 4, 6, 8, 10, ? (a) 11 (b) 12 (c) 14 (d) 13
  37. 37.What comes next? 15, 22, 17, 24, 19, 26, ? (a) 33 (b) 20 (c) 21 (d) 31
  38. 38.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 29 (b) 26 (c) 32 (d) 27
  39. 39.What comes next? 19, 25, 31, 37, 43, ? (a) 55 (b) 50 (c) 48 (d) 49
  40. 40.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 33 (c) 35 (d) 34

Answer key

  1. 14
  2. 128
  3. 72
  4. 10
  5. 81
  6. 51
  7. 25
  8. 28
  9. 19
  10. 162
  11. 2
  12. 31
  13. 25
  14. 1
  15. 16
  16. 21
  17. 34
  18. 30
  19. 14
  20. 33
  21. 32
  22. 40
  23. 64
  24. 3
  25. 96
  26. 11
  27. 28
  28. 26
  29. 32
  30. 38
  31. 13
  32. 30
  33. 160
  34. 3
  35. 25
  36. 12
  37. 21
  38. 27
  39. 49
  40. 33

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