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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 44 · 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? 19, 20, 22, 25, 29, ? (a) 36 (b) 35 (c) 33 (d) 34
  2. 2.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 29 (b) 24 (c) 15 (d) 16
  3. 3.What comes next? 18, 25, 32, 39, 46, ? (a) 52 (b) 54 (c) 60 (d) 53
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  6. 6.What comes next? 5, 13, 21, 29, 37, ? (a) 45 (b) 53 (c) 46 (d) 44
  7. 7.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 11 (c) 10 (d) 12
  8. 8.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 12 (b) 11 (c) 6 (d) 7
  9. 9.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 19 (c) 21 (d) 20
  10. 10.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 25 (d) 22
  11. 11.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 18 (d) 17
  12. 12.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 40 (c) 39 (d) 42
  13. 13.What comes next? 64, 55, 46, 37, 28, ? (a) 20 (b) 10 (c) 18 (d) 19
  14. 14.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 10 (b) 6 (c) 5 (d) 11
  15. 15.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 7 (c) 4 (d) 5
  16. 16.What comes next? 3, 5, 7, 9, 11, ? (a) 13 (b) 14 (c) 12 (d) 15
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  18. 18.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 37 (c) 35 (d) 36
  19. 19.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 21 (d) 23
  20. 20.What comes next? 7, 9, 11, 13, 15, ? (a) 19 (b) 17 (c) 16 (d) 18
  21. 21.What comes next? 60, 53, 46, 39, 32, ? (a) 25 (b) 26 (c) 24 (d) 18
  22. 22.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  23. 23.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 36 (c) 33 (d) 35
  24. 24.What comes next? 44, 36, 28, 20, 12, ? (a) 3 (b) 4 (c) 6 (d) 5
  25. 25.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 31 (b) 28 (c) 29 (d) 36
  26. 26.What comes next? 3, 9, 7, 13, 11, 17, ? (a) 15 (b) 14 (c) 19 (d) 23
  27. 27.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 28 (c) 30 (d) 31
  28. 28.What comes next? 21, 31, 41, 51, 61, ? (a) 72 (b) 70 (c) 71 (d) 81
  29. 29.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 46 (d) 47
  30. 30.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 20 (b) 27 (c) 21 (d) 25
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  32. 32.What comes next? 48, 41, 34, 27, 20, ? (a) 12 (b) 6 (c) 14 (d) 13
  33. 33.What comes next? 5, 7, 9, 11, 13, ? (a) 15 (b) 14 (c) 16 (d) 17
  34. 34.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 4 (c) 2 (d) 3
  35. 35.What comes next? 53, 45, 37, 29, 21, ? (a) 5 (b) 14 (c) 13 (d) 12
  36. 36.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 27 (b) 26 (c) 32 (d) 29
  37. 37.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 73 (c) 74 (d) 75
  38. 38.What comes next? 11, 22, 33, 44, 55, ? (a) 67 (b) 77 (c) 65 (d) 66
  39. 39.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 27 (c) 29 (d) 30
  40. 40.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 25 (b) 26 (c) 30 (d) 32

Answer key

  1. 34
  2. 16
  3. 53
  4. 162
  5. 81
  6. 45
  7. 11
  8. 7
  9. 20
  10. 23
  11. 17
  12. 40
  13. 19
  14. 6
  15. 5
  16. 13
  17. 96
  18. 35
  19. 22
  20. 17
  21. 25
  22. 192
  23. 34
  24. 4
  25. 29
  26. 15
  27. 29
  28. 71
  29. 46
  30. 21
  31. 160
  32. 13
  33. 15
  34. 2
  35. 13
  36. 27
  37. 74
  38. 66
  39. 28
  40. 26

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