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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 92 · 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? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  2. 2.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 72 (c) 62 (d) 61
  3. 3.What comes next? 5, 10, 9, 14, 13, 18, ? (a) 16 (b) 19 (c) 23 (d) 17
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  5. 5.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 29 (d) 30
  6. 6.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 19 (c) 17 (d) 18
  7. 7.What comes next? 34, 29, 24, 19, 14, ? (a) 4 (b) 9 (c) 10 (d) 8
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  9. 9.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 57 (c) 55 (d) 56
  10. 10.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 29 (b) 31 (c) 37 (d) 28
  11. 11.What comes next? 55, 46, 37, 28, 19, ? (a) 1 (b) 11 (c) 9 (d) 10
  12. 12.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 23 (c) 22 (d) 20
  13. 13.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 21 (b) 22 (c) 26 (d) 28
  14. 14.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 36 (c) 37 (d) 35
  15. 15.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 24 (b) 18 (c) 17 (d) 20
  16. 16.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 39 (c) 37 (d) 36
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  18. 18.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 24 (c) 23 (d) 25
  19. 19.What comes next? 28, 30, 32, 34, 36, ? (a) 40 (b) 39 (c) 37 (d) 38
  20. 20.What comes next? 46, 39, 32, 25, 18, ? (a) 4 (b) 12 (c) 11 (d) 10
  21. 21.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 4 (c) 3 (d) 2
  22. 22.What comes next? 22, 20, 18, 16, 14, ? (a) 13 (b) 10 (c) 12 (d) 11
  23. 23.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 3 (d) 4
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  25. 25.What comes next? 10, 17, 24, 31, 38, ? (a) 52 (b) 45 (c) 44 (d) 46
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  27. 27.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 16 (c) 15 (d) 9
  28. 28.What comes next? 20, 23, 26, 29, 32, ? (a) 38 (b) 35 (c) 36 (d) 34
  29. 29.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  30. 30.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 19 (b) 26 (c) 27 (d) 20
  31. 31.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 37 (c) 35 (d) 36
  32. 32.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 32 (b) 30 (c) 23 (d) 24
  33. 33.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  34. 34.What comes next? 6, 14, 22, 30, 38, ? (a) 54 (b) 46 (c) 47 (d) 45
  35. 35.What comes next? 6, 8, 10, 12, 14, ? (a) 16 (b) 18 (c) 15 (d) 17
  36. 36.What comes next? 40, 33, 26, 19, 12, ? (a) 4 (b) 7 (c) 6 (d) 5
  37. 37.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 25 (b) 24 (c) 12 (d) 11
  38. 38.What comes next? 47, 40, 33, 26, 19, ? (a) 12 (b) 13 (c) 5 (d) 11
  39. 39.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 34 (c) 35 (d) 33
  40. 40.What comes next? 14, 16, 18, 20, 22, ? (a) 26 (b) 25 (c) 23 (d) 24

Answer key

  1. 64
  2. 61
  3. 17
  4. 160
  5. 30
  6. 18
  7. 9
  8. 192
  9. 56
  10. 29
  11. 10
  12. 21
  13. 22
  14. 36
  15. 18
  16. 37
  17. 162
  18. 23
  19. 38
  20. 11
  21. 2
  22. 12
  23. 1
  24. 243
  25. 45
  26. 81
  27. 15
  28. 35
  29. 128
  30. 20
  31. 35
  32. 24
  33. 96
  34. 46
  35. 16
  36. 5
  37. 12
  38. 12
  39. 33
  40. 24

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