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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 713 · 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? 1, 5, 2, 6, 3, 7, ? (a) 4 (b) 10 (c) 3 (d) 11
  2. 2.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 40 (c) 38 (d) 39
  3. 3.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 28 (c) 27 (d) 26
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  5. 5.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 2 (c) 3 (d) 1
  6. 6.What comes next? 28, 33, 38, 43, 48, ? (a) 58 (b) 52 (c) 54 (d) 53
  7. 7.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 14 (b) 13 (c) 18 (d) 19
  8. 8.What comes next? 21, 26, 31, 36, 41, ? (a) 46 (b) 51 (c) 45 (d) 47
  9. 9.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 40 (c) 38 (d) 37
  10. 10.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 5 (c) 4 (d) 3
  11. 11.What comes next? 15, 26, 37, 48, 59, ? (a) 69 (b) 70 (c) 81 (d) 71
  12. 12.What comes next? 22, 31, 40, 49, 58, ? (a) 68 (b) 76 (c) 66 (d) 67
  13. 13.What comes next? 14, 25, 36, 47, 58, ? (a) 80 (b) 68 (c) 69 (d) 70
  14. 14.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 15 (c) 6 (d) 16
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  16. 16.What comes next? 46, 38, 30, 22, 14, ? (a) 8 (b) 5 (c) 7 (d) 6
  17. 17.What comes next? 12, 15, 18, 21, 24, ? (a) 26 (b) 28 (c) 27 (d) 30
  18. 18.What comes next? 30, 41, 52, 63, 74, ? (a) 86 (b) 84 (c) 85 (d) 96
  19. 19.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 75 (c) 65 (d) 64
  20. 20.What comes next? 14, 22, 20, 28, 26, 34, ? (a) 32 (b) 42 (c) 36 (d) 31
  21. 21.What comes next? 6, 12, 18, 24, 30, ? (a) 42 (b) 35 (c) 37 (d) 36
  22. 22.What comes next? 55, 47, 39, 31, 23, ? (a) 14 (b) 7 (c) 15 (d) 16
  23. 23.What comes next? 22, 28, 34, 40, 46, ? (a) 51 (b) 52 (c) 58 (d) 53
  24. 24.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 13 (c) 22 (d) 20
  25. 25.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 43 (c) 51 (d) 42
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  27. 27.What comes next? 55, 48, 41, 34, 27, ? (a) 19 (b) 13 (c) 21 (d) 20
  28. 28.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 29 (d) 28
  29. 29.What comes next? 19, 29, 39, 49, 59, ? (a) 70 (b) 69 (c) 68 (d) 79
  30. 30.What comes next? 53, 48, 43, 38, 33, ? (a) 27 (b) 28 (c) 23 (d) 29
  31. 31.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 46 (c) 47 (d) 49
  32. 32.What comes next? 8, 17, 16, 25, 24, 33, ? (a) 31 (b) 34 (c) 32 (d) 42
  33. 33.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 14 (c) 12 (d) 13
  34. 34.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 17 (c) 14 (d) 18
  35. 35.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  36. 36.What comes next? 47, 38, 29, 20, 11, ? (a) 1 (b) 3 (c) 2 (d) 4
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  38. 38.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  39. 39.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 13 (c) 14 (d) 16
  40. 40.What comes next? 29, 39, 49, 59, 69, ? (a) 79 (b) 78 (c) 89 (d) 80

Answer key

  1. 4
  2. 39
  3. 26
  4. 81
  5. 1
  6. 53
  7. 14
  8. 46
  9. 38
  10. 4
  11. 70
  12. 67
  13. 69
  14. 15
  15. 243
  16. 6
  17. 27
  18. 85
  19. 64
  20. 32
  21. 36
  22. 15
  23. 52
  24. 21
  25. 43
  26. 96
  27. 20
  28. 27
  29. 69
  30. 28
  31. 47
  32. 32
  33. 14
  34. 17
  35. 128
  36. 2
  37. 160
  38. 162
  39. 15
  40. 79

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