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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 828 · 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? 11, 20, 19, 28, 27, 36, ? (a) 34 (b) 37 (c) 45 (d) 35
  2. 2.What comes next? 69, 60, 51, 42, 33, ? (a) 23 (b) 25 (c) 24 (d) 15
  3. 3.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 25 (c) 17 (d) 26
  4. 4.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 52 (c) 49 (d) 50
  5. 5.What comes next? 28, 24, 20, 16, 12, ? (a) 7 (b) 4 (c) 9 (d) 8
  6. 6.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 18 (c) 21 (d) 19
  7. 7.What comes next? 41, 37, 33, 29, 25, ? (a) 22 (b) 20 (c) 21 (d) 17
  8. 8.What comes next? 4, 16, 28, 40, 52, ? (a) 64 (b) 63 (c) 76 (d) 65
  9. 9.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 42 (c) 41 (d) 50
  10. 10.What comes next? 56, 47, 38, 29, 20, ? (a) 10 (b) 11 (c) 12 (d) 2
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  12. 12.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 5 (c) 7 (d) 6
  13. 13.What comes next? 68, 59, 50, 41, 32, ? (a) 14 (b) 23 (c) 22 (d) 24
  14. 14.What comes next? 48, 40, 32, 24, 16, ? (a) 9 (b) 10 (c) 7 (d) 8
  15. 15.What comes next? 6, 9, 12, 15, 18, ? (a) 21 (b) 20 (c) 24 (d) 22
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  17. 17.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  18. 18.What comes next? 16, 23, 30, 37, 44, ? (a) 52 (b) 58 (c) 50 (d) 51
  19. 19.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 34 (c) 33 (d) 35
  20. 20.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 13 (b) 22 (c) 14 (d) 20
  21. 21.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 41 (c) 40 (d) 47
  22. 22.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 16 (c) 18 (d) 15
  23. 23.What comes next? 14, 21, 20, 27, 26, 33, ? (a) 31 (b) 32 (c) 40 (d) 34
  24. 24.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 24 (c) 26 (d) 23
  25. 25.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 42 (c) 44 (d) 43
  26. 26.What comes next? 27, 32, 37, 42, 47, ? (a) 57 (b) 52 (c) 53 (d) 51
  27. 27.What comes next? 14, 20, 16, 22, 18, 24, ? (a) 19 (b) 20 (c) 30 (d) 28
  28. 28.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 65 (c) 59 (d) 58
  29. 29.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 70 (c) 71 (d) 69
  30. 30.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 5 (c) 8 (d) 6
  31. 31.What comes next? 29, 36, 43, 50, 57, ? (a) 71 (b) 64 (c) 65 (d) 63
  32. 32.What comes next? 57, 48, 39, 30, 21, ? (a) 13 (b) 3 (c) 11 (d) 12
  33. 33.What comes next? 31, 29, 27, 25, 23, ? (a) 21 (b) 19 (c) 20 (d) 22
  34. 34.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 20 (c) 22 (d) 23
  35. 35.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 40 (c) 39 (d) 41
  36. 36.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 28 (c) 30 (d) 26
  37. 37.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 28 (d) 29
  38. 38.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 43 (c) 44 (d) 42
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  40. 40.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 60 (c) 68 (d) 61

Answer key

  1. 35
  2. 24
  3. 25
  4. 50
  5. 8
  6. 19
  7. 21
  8. 64
  9. 42
  10. 11
  11. 64
  12. 6
  13. 23
  14. 8
  15. 21
  16. 162
  17. 128
  18. 51
  19. 33
  20. 14
  21. 40
  22. 16
  23. 32
  24. 24
  25. 42
  26. 52
  27. 20
  28. 59
  29. 70
  30. 6
  31. 64
  32. 12
  33. 21
  34. 21
  35. 40
  36. 26
  37. 28
  38. 43
  39. 243
  40. 61

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