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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 821 · 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? 26, 30, 34, 38, 42, ? (a) 46 (b) 47 (c) 45 (d) 50
  2. 2.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 27 (b) 26 (c) 19 (d) 20
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  4. 4.What comes next? 18, 25, 21, 28, 24, 31, ? (a) 26 (b) 27 (c) 35 (d) 38
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  6. 6.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 36 (c) 39 (d) 38
  7. 7.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 60 (c) 62 (d) 61
  8. 8.What comes next? 31, 27, 23, 19, 15, ? (a) 10 (b) 12 (c) 11 (d) 7
  9. 9.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 20 (c) 21 (d) 22
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  11. 11.What comes next? 11, 23, 35, 47, 59, ? (a) 70 (b) 72 (c) 71 (d) 83
  12. 12.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 6 (b) 17 (c) 19 (d) 7
  13. 13.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 15 (b) 9 (c) 8 (d) 17
  14. 14.What comes next? 26, 36, 46, 56, 66, ? (a) 75 (b) 77 (c) 86 (d) 76
  15. 15.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 21 (d) 20
  16. 16.What comes next? 5, 12, 10, 17, 15, 22, ? (a) 19 (b) 20 (c) 29 (d) 24
  17. 17.What comes next? 19, 27, 25, 33, 31, 39, ? (a) 41 (b) 47 (c) 36 (d) 37
  18. 18.What comes next? 17, 22, 19, 24, 21, 26, ? (a) 29 (b) 31 (c) 22 (d) 23
  19. 19.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 45 (c) 49 (d) 44
  20. 20.What comes next? 9, 17, 15, 23, 21, 29, ? (a) 37 (b) 31 (c) 26 (d) 27
  21. 21.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  22. 22.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 15 (c) 13 (d) 11
  23. 23.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 22 (b) 27 (c) 23 (d) 28
  24. 24.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 22 (c) 23 (d) 14
  25. 25.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 38 (c) 39 (d) 36
  26. 26.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 2 (c) 3 (d) 5
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  29. 29.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 26 (b) 19 (c) 21 (d) 18
  30. 30.What comes next? 8, 19, 30, 41, 52, ? (a) 74 (b) 64 (c) 63 (d) 62
  31. 31.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 15 (b) 16 (c) 20 (d) 22
  32. 32.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 11 (b) 10 (c) 4 (d) 3
  33. 33.What comes next? 24, 30, 36, 42, 48, ? (a) 53 (b) 60 (c) 55 (d) 54
  34. 34.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 8 (c) 10 (d) 9
  35. 35.What comes next? 16, 22, 18, 24, 20, 26, ? (a) 32 (b) 21 (c) 22 (d) 30
  36. 36.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 32 (c) 34 (d) 35
  37. 37.What comes next? 40, 38, 36, 34, 32, ? (a) 28 (b) 30 (c) 29 (d) 31
  38. 38.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 37 (c) 36 (d) 35
  39. 39.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 2 (c) 1 (d) 3
  40. 40.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 19 (b) 14 (c) 15 (d) 17

Answer key

  1. 46
  2. 20
  3. 81
  4. 27
  5. 160
  6. 37
  7. 61
  8. 11
  9. 21
  10. 32
  11. 71
  12. 7
  13. 9
  14. 76
  15. 21
  16. 20
  17. 37
  18. 23
  19. 44
  20. 27
  21. 128
  22. 11
  23. 23
  24. 23
  25. 37
  26. 3
  27. 243
  28. 96
  29. 19
  30. 63
  31. 16
  32. 4
  33. 54
  34. 9
  35. 22
  36. 33
  37. 30
  38. 36
  39. 3
  40. 15

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