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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 598 · 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? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  2. 2.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 19 (b) 16 (c) 13 (d) 14
  3. 3.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 36 (c) 34 (d) 33
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  6. 6.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 3 (c) 4 (d) 1
  7. 7.What comes next? 12, 21, 14, 23, 16, 25, ? (a) 17 (b) 34 (c) 32 (d) 18
  8. 8.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 37 (c) 36 (d) 35
  9. 9.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 5 (b) 14 (c) 4 (d) 13
  10. 10.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 13 (b) 9 (c) 15 (d) 8
  11. 11.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 29 (c) 30 (d) 31
  12. 12.What comes next? 2, 6, 10, 14, 18, ? (a) 26 (b) 21 (c) 23 (d) 22
  13. 13.What comes next? 53, 46, 39, 32, 25, ? (a) 17 (b) 18 (c) 19 (d) 11
  14. 14.What comes next? 7, 15, 23, 31, 39, ? (a) 55 (b) 47 (c) 48 (d) 46
  15. 15.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 4 (c) 5 (d) 2
  16. 16.What comes next? 2, 7, 5, 10, 8, 13, ? (a) 15 (b) 10 (c) 18 (d) 11
  17. 17.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 39 (c) 40 (d) 41
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  19. 19.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 40 (c) 42 (d) 39
  20. 20.What comes next? 46, 38, 30, 22, 14, ? (a) 8 (b) 7 (c) 6 (d) 5
  21. 21.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 33 (b) 28 (c) 38 (d) 29
  22. 22.What comes next? 8, 13, 18, 23, 28, ? (a) 34 (b) 33 (c) 38 (d) 32
  23. 23.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 37 (c) 40 (d) 39
  24. 24.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 34 (b) 32 (c) 23 (d) 24
  25. 25.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 35 (d) 36
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  27. 27.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 22 (c) 25 (d) 23
  28. 28.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 27 (c) 32 (d) 28
  29. 29.What comes next? 24, 34, 44, 54, 64, ? (a) 84 (b) 75 (c) 74 (d) 73
  30. 30.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 18 (b) 20 (c) 17 (d) 23
  31. 31.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 1 (c) 2 (d) 4
  32. 32.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 36 (c) 34 (d) 37
  33. 33.What comes next? 54, 49, 44, 39, 34, ? (a) 30 (b) 24 (c) 28 (d) 29
  34. 34.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 27 (c) 29 (d) 30
  35. 35.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 17 (b) 16 (c) 8 (d) 7
  36. 36.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 32 (c) 31 (d) 34
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  38. 38.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 35 (c) 34 (d) 33
  39. 39.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 27 (c) 29 (d) 30
  40. 40.What comes next? 14, 16, 18, 20, 22, ? (a) 23 (b) 25 (c) 24 (d) 26

Answer key

  1. 128
  2. 14
  3. 34
  4. 160
  5. 162
  6. 1
  7. 18
  8. 36
  9. 5
  10. 9
  11. 29
  12. 22
  13. 18
  14. 47
  15. 5
  16. 11
  17. 39
  18. 64
  19. 40
  20. 6
  21. 29
  22. 33
  23. 38
  24. 24
  25. 35
  26. 96
  27. 22
  28. 28
  29. 74
  30. 18
  31. 1
  32. 35
  33. 29
  34. 29
  35. 8
  36. 32
  37. 243
  38. 34
  39. 28
  40. 24

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