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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 650 · 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, 25, 22, 28, 25, 31, ? (a) 34 (b) 27 (c) 37 (d) 28
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  3. 3.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  4. 4.What comes next? 9, 12, 15, 18, 21, ? (a) 23 (b) 25 (c) 27 (d) 24
  5. 5.What comes next? 18, 30, 42, 54, 66, ? (a) 77 (b) 78 (c) 90 (d) 79
  6. 6.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 3 (c) 1 (d) 2
  7. 7.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 1 (c) 4 (d) 3
  8. 8.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 33 (b) 21 (c) 32 (d) 22
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  10. 10.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 21 (c) 19 (d) 20
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  13. 13.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 27 (c) 26 (d) 24
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  15. 15.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 46 (c) 43 (d) 44
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  17. 17.What comes next? 27, 31, 35, 39, 43, ? (a) 46 (b) 47 (c) 48 (d) 51
  18. 18.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 31 (c) 30 (d) 32
  19. 19.What comes next? 32, 27, 22, 17, 12, ? (a) 8 (b) 2 (c) 7 (d) 6
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  21. 21.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 58 (c) 57 (d) 59
  22. 22.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 21 (b) 17 (c) 22 (d) 16
  23. 23.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 28 (d) 31
  24. 24.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 32 (b) 28 (c) 27 (d) 36
  25. 25.What comes next? 26, 24, 22, 20, 18, ? (a) 17 (b) 15 (c) 14 (d) 16
  26. 26.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 23 (c) 18 (d) 21
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  28. 28.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 19 (b) 7 (c) 21 (d) 6
  29. 29.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 6 (c) 5 (d) 3
  30. 30.What comes next? 4, 14, 24, 34, 44, ? (a) 64 (b) 55 (c) 54 (d) 53
  31. 31.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 40 (c) 39 (d) 38
  32. 32.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 32 (c) 34 (d) 31
  33. 33.What comes next? 3, 13, 23, 33, 43, ? (a) 63 (b) 53 (c) 52 (d) 54
  34. 34.What comes next? 68, 60, 52, 44, 36, ? (a) 20 (b) 28 (c) 29 (d) 27
  35. 35.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 48 (c) 45 (d) 46
  36. 36.What comes next? 16, 19, 22, 25, 28, ? (a) 31 (b) 30 (c) 34 (d) 32
  37. 37.What comes next? 9, 15, 21, 27, 33, ? (a) 38 (b) 39 (c) 45 (d) 40
  38. 38.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 28 (b) 23 (c) 27 (d) 22
  39. 39.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 23 (b) 16 (c) 17 (d) 24
  40. 40.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 21 (d) 20

Answer key

  1. 28
  2. 243
  3. 16
  4. 24
  5. 78
  6. 2
  7. 1
  8. 22
  9. 160
  10. 20
  11. 64
  12. 32
  13. 25
  14. 81
  15. 44
  16. 128
  17. 47
  18. 30
  19. 7
  20. 96
  21. 58
  22. 17
  23. 29
  24. 28
  25. 16
  26. 22
  27. 162
  28. 7
  29. 5
  30. 54
  31. 38
  32. 32
  33. 53
  34. 28
  35. 46
  36. 31
  37. 39
  38. 23
  39. 17
  40. 21

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