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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 210 · 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? 14, 19, 15, 20, 16, 21, ? (a) 25 (b) 16 (c) 26 (d) 17
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  4. 4.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 12 (c) 15 (d) 14
  5. 5.What comes next? 18, 24, 30, 36, 42, ? (a) 54 (b) 47 (c) 49 (d) 48
  6. 6.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 24 (c) 27 (d) 23
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  8. 8.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 3 (c) 6 (d) 7
  9. 9.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 34 (d) 36
  10. 10.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 23 (c) 21 (d) 24
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 193 (d) 240
  13. 13.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 3 (c) 4 (d) 5
  14. 14.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 42 (c) 40 (d) 39
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  16. 16.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 57 (c) 59 (d) 58
  17. 17.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 16 (c) 18 (d) 19
  18. 18.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 41 (c) 39 (d) 38
  19. 19.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 18 (c) 19 (d) 16
  20. 20.What comes next? 64, 56, 48, 40, 32, ? (a) 16 (b) 23 (c) 25 (d) 24
  21. 21.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 2 (c) 4 (d) 5
  22. 22.What comes next? 75, 66, 57, 48, 39, ? (a) 30 (b) 21 (c) 31 (d) 29
  23. 23.What comes next? 56, 49, 42, 35, 28, ? (a) 20 (b) 22 (c) 21 (d) 14
  24. 24.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 40 (b) 32 (c) 29 (d) 30
  25. 25.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 26 (b) 20 (c) 24 (d) 19
  26. 26.What comes next? 59, 51, 43, 35, 27, ? (a) 19 (b) 11 (c) 20 (d) 18
  27. 27.What comes next? 11, 20, 14, 23, 17, 26, ? (a) 20 (b) 35 (c) 32 (d) 19
  28. 28.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34
  29. 29.What comes next? 5, 10, 8, 13, 11, 16, ? (a) 21 (b) 18 (c) 14 (d) 13
  30. 30.What comes next? 12, 21, 30, 39, 48, ? (a) 57 (b) 58 (c) 66 (d) 56
  31. 31.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  32. 32.What comes next? 26, 32, 38, 44, 50, ? (a) 55 (b) 57 (c) 62 (d) 56
  33. 33.What comes next? 17, 24, 21, 28, 25, 32, ? (a) 35 (b) 29 (c) 28 (d) 39
  34. 34.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 25 (b) 29 (c) 31 (d) 24
  35. 35.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 21 (c) 22 (d) 23
  36. 36.What comes next? 24, 32, 40, 48, 56, ? (a) 72 (b) 63 (c) 64 (d) 65
  37. 37.What comes next? 4, 10, 16, 22, 28, ? (a) 33 (b) 34 (c) 35 (d) 40
  38. 38.What comes next? 19, 25, 21, 27, 23, 29, ? (a) 35 (b) 25 (c) 24 (d) 33
  39. 39.What comes next? 18, 27, 36, 45, 54, ? (a) 63 (b) 62 (c) 64 (d) 72
  40. 40.What comes next? 18, 30, 42, 54, 66, ? (a) 77 (b) 90 (c) 78 (d) 79

Answer key

  1. 17
  2. 243
  3. 162
  4. 14
  5. 48
  6. 24
  7. 64
  8. 7
  9. 34
  10. 23
  11. 128
  12. 192
  13. 3
  14. 40
  15. 81
  16. 58
  17. 19
  18. 39
  19. 17
  20. 24
  21. 3
  22. 30
  23. 21
  24. 30
  25. 20
  26. 19
  27. 20
  28. 35
  29. 14
  30. 57
  31. 96
  32. 56
  33. 29
  34. 25
  35. 22
  36. 64
  37. 34
  38. 25
  39. 63
  40. 78

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