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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 641 · 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? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 13 (c) 8 (d) 9
  2. 2.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 24 (b) 37 (c) 40 (d) 25
  3. 3.What comes next? 7, 19, 31, 43, 55, ? (a) 66 (b) 68 (c) 79 (d) 67
  4. 4.What comes next? 12, 14, 16, 18, 20, ? (a) 24 (b) 21 (c) 22 (d) 23
  5. 5.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 15 (b) 21 (c) 23 (d) 14
  6. 6.What comes next? 66, 58, 50, 42, 34, ? (a) 25 (b) 27 (c) 18 (d) 26
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  8. 8.What comes next? 36, 33, 30, 27, 24, ? (a) 20 (b) 22 (c) 18 (d) 21
  9. 9.What comes next? 5, 10, 8, 13, 11, 16, ? (a) 13 (b) 21 (c) 14 (d) 18
  10. 10.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 31 (c) 30 (d) 28
  11. 11.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 14 (c) 13 (d) 9
  12. 12.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 29 (c) 31 (d) 30
  13. 13.What comes next? 27, 34, 41, 48, 55, ? (a) 63 (b) 61 (c) 62 (d) 69
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  15. 15.What comes next? 18, 22, 26, 30, 34, ? (a) 38 (b) 37 (c) 39 (d) 42
  16. 16.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 76 (c) 74 (d) 75
  17. 17.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 46 (d) 47
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  19. 19.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 20 (c) 19 (d) 18
  20. 20.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 11 (c) 8 (d) 9
  21. 21.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 35 (c) 37 (d) 33
  22. 22.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 21 (b) 20 (c) 26 (d) 25
  23. 23.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 1 (c) 9 (d) 8
  24. 24.What comes next? 64, 56, 48, 40, 32, ? (a) 24 (b) 25 (c) 16 (d) 23
  25. 25.What comes next? 27, 37, 47, 57, 67, ? (a) 87 (b) 78 (c) 77 (d) 76
  26. 26.What comes next? 10, 17, 24, 31, 38, ? (a) 45 (b) 52 (c) 44 (d) 46
  27. 27.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 34 (c) 35 (d) 33
  28. 28.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 46 (c) 47 (d) 45
  29. 29.What comes next? 45, 37, 29, 21, 13, ? (a) 5 (b) 6 (c) 7 (d) 4
  30. 30.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 30 (c) 29 (d) 32
  31. 31.What comes next? 5, 12, 8, 15, 11, 18, ? (a) 14 (b) 13 (c) 25 (d) 22
  32. 32.What comes next? 20, 23, 26, 29, 32, ? (a) 35 (b) 36 (c) 38 (d) 34
  33. 33.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  34. 34.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 11 (c) 10 (d) 5
  35. 35.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 37 (c) 36 (d) 38
  36. 36.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 24 (b) 15 (c) 16 (d) 27
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 120 (d) 200
  38. 38.What comes next? 3, 7, 11, 15, 19, ? (a) 23 (b) 27 (c) 22 (d) 24
  39. 39.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 27 (c) 25 (d) 26
  40. 40.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 40 (b) 35 (c) 30 (d) 31

Answer key

  1. 9
  2. 25
  3. 67
  4. 22
  5. 15
  6. 26
  7. 162
  8. 21
  9. 14
  10. 29
  11. 13
  12. 30
  13. 62
  14. 32
  15. 38
  16. 75
  17. 46
  18. 243
  19. 19
  20. 9
  21. 34
  22. 21
  23. 8
  24. 24
  25. 77
  26. 45
  27. 34
  28. 45
  29. 5
  30. 30
  31. 14
  32. 35
  33. 64
  34. 11
  35. 36
  36. 16
  37. 160
  38. 23
  39. 26
  40. 31

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