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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 662 · 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? 42, 37, 32, 27, 22, ? (a) 17 (b) 16 (c) 18 (d) 12
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  4. 4.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 16 (d) 17
  5. 5.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  7. 7.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 12 (c) 13 (d) 6
  8. 8.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 5 (c) 6 (d) 4
  9. 9.What comes next? 38, 31, 24, 17, 10, ? (a) 2 (b) 5 (c) 4 (d) 3
  10. 10.What comes next? 36, 30, 24, 18, 12, ? (a) 6 (b) 8 (c) 5 (d) 7
  11. 11.What comes next? 19, 26, 24, 31, 29, 36, ? (a) 43 (b) 38 (c) 34 (d) 33
  12. 12.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 16 (b) 19 (c) 17 (d) 22
  13. 13.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  14. 14.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 13 (b) 11 (c) 10 (d) 15
  15. 15.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 4 (c) 1 (d) 2
  16. 16.What comes next? 58, 50, 42, 34, 26, ? (a) 18 (b) 19 (c) 10 (d) 17
  17. 17.What comes next? 13, 16, 19, 22, 25, ? (a) 28 (b) 29 (c) 31 (d) 27
  18. 18.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 27 (c) 29 (d) 30
  19. 19.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 20 (d) 19
  20. 20.What comes next? 15, 24, 21, 30, 27, 36, ? (a) 45 (b) 33 (c) 39 (d) 32
  21. 21.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 39 (c) 41 (d) 40
  22. 22.What comes next? 42, 34, 26, 18, 10, ? (a) 4 (b) 1 (c) 2 (d) 3
  23. 23.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 30 (c) 31 (d) 32
  24. 24.What comes next? 24, 28, 32, 36, 40, ? (a) 45 (b) 48 (c) 43 (d) 44
  25. 25.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 40 (b) 30 (c) 31 (d) 35
  26. 26.What comes next? 23, 27, 31, 35, 39, ? (a) 43 (b) 44 (c) 42 (d) 47
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  28. 28.What comes next? 49, 42, 35, 28, 21, ? (a) 14 (b) 7 (c) 15 (d) 13
  29. 29.What comes next? 20, 27, 34, 41, 48, ? (a) 54 (b) 62 (c) 55 (d) 56
  30. 30.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  31. 31.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 33 (c) 36 (d) 34
  32. 32.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 18 (b) 22 (c) 25 (d) 17
  33. 33.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 14 (c) 13 (d) 5
  34. 34.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 14 (c) 16 (d) 13
  35. 35.What comes next? 11, 23, 35, 47, 59, ? (a) 72 (b) 71 (c) 83 (d) 70
  36. 36.What comes next? 23, 32, 41, 50, 59, ? (a) 67 (b) 68 (c) 77 (d) 69
  37. 37.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 26 (b) 28 (c) 31 (d) 25
  38. 38.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 29 (c) 25 (d) 28
  39. 39.What comes next? 41, 36, 31, 26, 21, ? (a) 15 (b) 16 (c) 17 (d) 11
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144

Answer key

  1. 17
  2. 160
  3. 243
  4. 17
  5. 128
  6. 64
  7. 13
  8. 5
  9. 3
  10. 6
  11. 34
  12. 17
  13. 162
  14. 11
  15. 2
  16. 18
  17. 28
  18. 28
  19. 18
  20. 33
  21. 40
  22. 2
  23. 31
  24. 44
  25. 31
  26. 43
  27. 96
  28. 14
  29. 55
  30. 32
  31. 33
  32. 18
  33. 5
  34. 15
  35. 71
  36. 68
  37. 26
  38. 29
  39. 16
  40. 192

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