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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 179 · 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? 8, 13, 18, 23, 28, ? (a) 38 (b) 34 (c) 32 (d) 33
  2. 2.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 23 (c) 21 (d) 25
  3. 3.What comes next? 15, 24, 21, 30, 27, 36, ? (a) 33 (b) 32 (c) 45 (d) 39
  4. 4.What comes next? 16, 23, 30, 37, 44, ? (a) 58 (b) 50 (c) 51 (d) 52
  5. 5.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 33 (b) 23 (c) 31 (d) 22
  6. 6.What comes next? 22, 31, 40, 49, 58, ? (a) 66 (b) 67 (c) 68 (d) 76
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  8. 8.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 4 (c) 8 (d) 7
  9. 9.What comes next? 2, 4, 6, 8, 10, ? (a) 13 (b) 14 (c) 11 (d) 12
  10. 10.What comes next? 21, 29, 37, 45, 53, ? (a) 62 (b) 60 (c) 69 (d) 61
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  12. 12.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 35 (c) 37 (d) 38
  13. 13.What comes next? 68, 60, 52, 44, 36, ? (a) 29 (b) 20 (c) 27 (d) 28
  14. 14.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 30 (c) 29 (d) 32
  15. 15.What comes next? 7, 16, 9, 18, 11, 20, ? (a) 29 (b) 12 (c) 27 (d) 13
  16. 16.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 32 (c) 35 (d) 31
  17. 17.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  18. 18.What comes next? 49, 45, 41, 37, 33, ? (a) 25 (b) 28 (c) 29 (d) 30
  19. 19.What comes next? 4, 13, 7, 16, 10, 19, ? (a) 25 (b) 12 (c) 13 (d) 28
  20. 20.What comes next? 53, 48, 43, 38, 33, ? (a) 29 (b) 28 (c) 23 (d) 27
  21. 21.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 27 (b) 33 (c) 30 (d) 28
  22. 22.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  23. 23.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 29 (c) 27 (d) 28
  24. 24.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 61 (c) 71 (d) 60
  25. 25.What comes next? 23, 28, 33, 38, 43, ? (a) 48 (b) 53 (c) 47 (d) 49
  26. 26.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 19 (b) 27 (c) 26 (d) 20
  27. 27.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 34 (c) 36 (d) 33
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 4 (c) 3 (d) 1
  29. 29.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 31 (c) 29 (d) 30
  30. 30.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 33 (d) 34
  31. 31.What comes next? 12, 14, 16, 18, 20, ? (a) 21 (b) 23 (c) 22 (d) 24
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  33. 33.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 25 (b) 27 (c) 30 (d) 24
  34. 34.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 20 (c) 22 (d) 21
  35. 35.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 14 (c) 11 (d) 16
  36. 36.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  37. 37.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 17 (c) 16 (d) 18
  38. 38.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 39 (c) 38 (d) 37
  39. 39.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 63 (c) 75 (d) 64
  40. 40.What comes next? 46, 42, 38, 34, 30, ? (a) 22 (b) 25 (c) 26 (d) 27

Answer key

  1. 33
  2. 21
  3. 33
  4. 51
  5. 23
  6. 67
  7. 192
  8. 8
  9. 12
  10. 61
  11. 81
  12. 36
  13. 28
  14. 30
  15. 13
  16. 31
  17. 128
  18. 29
  19. 13
  20. 28
  21. 28
  22. 243
  23. 27
  24. 61
  25. 48
  26. 20
  27. 34
  28. 2
  29. 30
  30. 34
  31. 22
  32. 162
  33. 25
  34. 21
  35. 15
  36. 160
  37. 17
  38. 37
  39. 64
  40. 26

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