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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 691 · 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? 14, 20, 26, 32, 38, ? (a) 43 (b) 44 (c) 45 (d) 50
  2. 2.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 17 (c) 18 (d) 15
  3. 3.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 16 (c) 13 (d) 14
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  5. 5.What comes next? 42, 34, 26, 18, 10, ? (a) 3 (b) 1 (c) 4 (d) 2
  6. 6.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 32 (c) 33 (d) 31
  7. 7.What comes next? 18, 20, 22, 24, 26, ? (a) 30 (b) 28 (c) 29 (d) 27
  8. 8.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 31 (c) 32 (d) 34
  9. 9.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 33 (b) 19 (c) 30 (d) 20
  10. 10.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 1 (c) 3 (d) 2
  11. 11.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 24 (b) 20 (c) 25 (d) 19
  12. 12.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  13. 13.What comes next? 7, 13, 19, 25, 31, ? (a) 36 (b) 37 (c) 38 (d) 43
  14. 14.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 27 (b) 18 (c) 19 (d) 29
  15. 15.What comes next? 15, 21, 27, 33, 39, ? (a) 44 (b) 51 (c) 46 (d) 45
  16. 16.What comes next? 13, 16, 19, 22, 25, ? (a) 28 (b) 31 (c) 27 (d) 29
  17. 17.What comes next? 16, 24, 17, 25, 18, 26, ? (a) 18 (b) 19 (c) 33 (d) 34
  18. 18.What comes next? 36, 30, 24, 18, 12, ? (a) 6 (b) 7 (c) 5 (d) 8
  19. 19.What comes next? 20, 31, 42, 53, 64, ? (a) 86 (b) 76 (c) 74 (d) 75
  20. 20.What comes next? 17, 22, 27, 32, 37, ? (a) 41 (b) 47 (c) 42 (d) 43
  21. 21.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 8 (c) 9 (d) 7
  22. 22.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 11 (b) 17 (c) 18 (d) 10
  23. 23.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 14 (b) 17 (c) 21 (d) 15
  24. 24.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 24 (b) 25 (c) 29 (d) 27
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  26. 26.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 26 (b) 20 (c) 23 (d) 21
  27. 27.What comes next? 6, 10, 14, 18, 22, ? (a) 30 (b) 25 (c) 27 (d) 26
  28. 28.What comes next? 2, 5, 8, 11, 14, ? (a) 18 (b) 20 (c) 17 (d) 16
  29. 29.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 7 (b) 14 (c) 8 (d) 15
  30. 30.What comes next? 25, 31, 37, 43, 49, ? (a) 54 (b) 56 (c) 55 (d) 61
  31. 31.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 3 (c) 11 (d) 10
  32. 32.What comes next? 6, 15, 24, 33, 42, ? (a) 60 (b) 52 (c) 50 (d) 51
  33. 33.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 29 (c) 31 (d) 30
  34. 34.What comes next? 21, 19, 17, 15, 13, ? (a) 12 (b) 9 (c) 10 (d) 11
  35. 35.What comes next? 4, 10, 16, 22, 28, ? (a) 33 (b) 35 (c) 40 (d) 34
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  37. 37.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 38 (c) 39 (d) 40
  38. 38.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 16 (c) 15 (d) 17
  39. 39.What comes next? 17, 23, 29, 35, 41, ? (a) 48 (b) 53 (c) 46 (d) 47
  40. 40.What comes next? 38, 33, 28, 23, 18, ? (a) 13 (b) 8 (c) 12 (d) 14

Answer key

  1. 44
  2. 17
  3. 15
  4. 81
  5. 2
  6. 31
  7. 28
  8. 32
  9. 20
  10. 1
  11. 20
  12. 162
  13. 37
  14. 19
  15. 45
  16. 28
  17. 19
  18. 6
  19. 75
  20. 42
  21. 8
  22. 11
  23. 15
  24. 25
  25. 128
  26. 21
  27. 26
  28. 17
  29. 8
  30. 55
  31. 11
  32. 51
  33. 29
  34. 11
  35. 34
  36. 64
  37. 38
  38. 16
  39. 47
  40. 13

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