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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 655 · 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? 36, 32, 28, 24, 20, ? (a) 17 (b) 15 (c) 12 (d) 16
  2. 2.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 8 (c) 15 (d) 14
  3. 3.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 8 (b) 9 (c) 13 (d) 11
  4. 4.What comes next? 32, 27, 22, 17, 12, ? (a) 2 (b) 7 (c) 8 (d) 6
  5. 5.What comes next? 21, 24, 27, 30, 33, ? (a) 35 (b) 36 (c) 37 (d) 39
  6. 6.What comes next? 65, 56, 47, 38, 29, ? (a) 21 (b) 20 (c) 11 (d) 19
  7. 7.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 27 (b) 21 (c) 25 (d) 20
  8. 8.What comes next? 37, 32, 27, 22, 17, ? (a) 12 (b) 13 (c) 7 (d) 11
  9. 9.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 29 (c) 28 (d) 26
  10. 10.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 4 (d) 3
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  12. 12.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 42 (c) 41 (d) 45
  13. 13.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 48 (d) 65
  14. 14.What comes next? 13, 22, 16, 25, 19, 28, ? (a) 21 (b) 37 (c) 34 (d) 22
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  17. 17.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 37 (c) 36 (d) 34
  18. 18.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 5 (c) 6 (d) 4
  19. 19.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 27 (c) 28 (d) 29
  20. 20.What comes next? 19, 25, 31, 37, 43, ? (a) 48 (b) 55 (c) 49 (d) 50
  21. 21.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 40 (c) 41 (d) 38
  22. 22.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 9 (c) 12 (d) 14
  23. 23.What comes next? 16, 22, 17, 23, 18, 24, ? (a) 19 (b) 18 (c) 29 (d) 30
  24. 24.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 2 (c) 4 (d) 5
  25. 25.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 29 (d) 27
  26. 26.What comes next? 11, 19, 16, 24, 21, 29, ? (a) 32 (b) 37 (c) 26 (d) 25
  27. 27.What comes next? 11, 15, 19, 23, 27, ? (a) 35 (b) 31 (c) 30 (d) 32
  28. 28.What comes next? 10, 20, 30, 40, 50, ? (a) 59 (b) 70 (c) 60 (d) 61
  29. 29.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 19 (d) 17
  30. 30.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  31. 31.What comes next? 44, 36, 28, 20, 12, ? (a) 4 (b) 5 (c) 6 (d) 3
  32. 32.What comes next? 15, 25, 35, 45, 55, ? (a) 65 (b) 75 (c) 66 (d) 64
  33. 33.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 41 (c) 39 (d) 38
  34. 34.What comes next? 27, 31, 35, 39, 43, ? (a) 51 (b) 48 (c) 47 (d) 46
  35. 35.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 11 (b) 18 (c) 12 (d) 21
  36. 36.What comes next? 38, 35, 32, 29, 26, ? (a) 22 (b) 23 (c) 20 (d) 24
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  38. 38.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 31 (d) 32
  39. 39.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 6 (c) 7 (d) 9
  40. 40.What comes next? 5, 14, 23, 32, 41, ? (a) 59 (b) 49 (c) 51 (d) 50

Answer key

  1. 16
  2. 14
  3. 9
  4. 7
  5. 36
  6. 20
  7. 21
  8. 12
  9. 27
  10. 3
  11. 96
  12. 41
  13. 64
  14. 22
  15. 81
  16. 162
  17. 35
  18. 6
  19. 28
  20. 49
  21. 39
  22. 10
  23. 19
  24. 3
  25. 27
  26. 26
  27. 31
  28. 60
  29. 17
  30. 243
  31. 4
  32. 65
  33. 39
  34. 47
  35. 12
  36. 23
  37. 160
  38. 31
  39. 7
  40. 50

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