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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 214 · 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? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  2. 2.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 18 (d) 17
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  5. 5.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  6. 6.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 35 (c) 33 (d) 32
  7. 7.What comes next? 27, 35, 43, 51, 59, ? (a) 66 (b) 75 (c) 67 (d) 68
  8. 8.What comes next? 4, 13, 11, 20, 18, 27, ? (a) 24 (b) 29 (c) 25 (d) 36
  9. 9.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 16 (c) 15 (d) 17
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  11. 11.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 28 (b) 23 (c) 24 (d) 30
  12. 12.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 27 (c) 25 (d) 28
  13. 13.What comes next? 69, 60, 51, 42, 33, ? (a) 25 (b) 23 (c) 15 (d) 24
  14. 14.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 4 (c) 5 (d) 6
  15. 15.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 12 (b) 11 (c) 24 (d) 25
  16. 16.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 8 (c) 10 (d) 11
  17. 17.What comes next? 52, 46, 40, 34, 28, ? (a) 22 (b) 16 (c) 21 (d) 23
  18. 18.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 36 (c) 39 (d) 37
  19. 19.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 10 (c) 9 (d) 8
  20. 20.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 21 (b) 14 (c) 22 (d) 15
  21. 21.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 23 (b) 22 (c) 14 (d) 13
  22. 22.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 1 (c) 3 (d) 4
  23. 23.What comes next? 58, 49, 40, 31, 22, ? (a) 14 (b) 12 (c) 4 (d) 13
  24. 24.What comes next? 19, 27, 35, 43, 51, ? (a) 58 (b) 59 (c) 60 (d) 67
  25. 25.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 23 (b) 22 (c) 29 (d) 30
  26. 26.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 32 (b) 24 (c) 26 (d) 23
  27. 27.What comes next? 37, 34, 31, 28, 25, ? (a) 23 (b) 22 (c) 19 (d) 21
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  29. 29.What comes next? 3, 13, 23, 33, 43, ? (a) 54 (b) 53 (c) 52 (d) 63
  30. 30.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 9 (b) 16 (c) 10 (d) 18
  31. 31.What comes next? 12, 20, 18, 26, 24, 32, ? (a) 40 (b) 30 (c) 29 (d) 34
  32. 32.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 58 (c) 57 (d) 56
  33. 33.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 27 (b) 16 (c) 15 (d) 26
  34. 34.What comes next? 15, 22, 29, 36, 43, ? (a) 49 (b) 51 (c) 57 (d) 50
  35. 35.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  36. 36.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 42 (c) 43 (d) 41
  37. 37.What comes next? 27, 30, 33, 36, 39, ? (a) 43 (b) 42 (c) 41 (d) 45
  38. 38.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 13 (c) 15 (d) 16
  39. 39.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  40. 40.What comes next? 23, 31, 39, 47, 55, ? (a) 64 (b) 63 (c) 71 (d) 62

Answer key

  1. 96
  2. 17
  3. 192
  4. 243
  5. 128
  6. 33
  7. 67
  8. 25
  9. 16
  10. 162
  11. 24
  12. 26
  13. 24
  14. 6
  15. 12
  16. 11
  17. 22
  18. 37
  19. 8
  20. 15
  21. 14
  22. 2
  23. 13
  24. 59
  25. 23
  26. 24
  27. 22
  28. 81
  29. 53
  30. 10
  31. 30
  32. 57
  33. 16
  34. 50
  35. 160
  36. 42
  37. 42
  38. 15
  39. 64
  40. 63

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