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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 777 · 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, 10, 16, 23, ? (a) 31 (b) 33 (c) 32 (d) 30
  2. 2.What comes next? 35, 32, 29, 26, 23, ? (a) 21 (b) 19 (c) 20 (d) 17
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  5. 5.What comes next? 13, 22, 31, 40, 49, ? (a) 67 (b) 59 (c) 58 (d) 57
  6. 6.What comes next? 8, 15, 10, 17, 12, 19, ? (a) 13 (b) 14 (c) 24 (d) 26
  7. 7.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 9 (c) 8 (d) 10
  8. 8.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 42 (c) 44 (d) 43
  9. 9.What comes next? 71, 62, 53, 44, 35, ? (a) 25 (b) 27 (c) 26 (d) 17
  10. 10.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  11. 11.What comes next? 46, 38, 30, 22, 14, ? (a) 6 (b) 8 (c) 7 (d) 5
  12. 12.What comes next? 17, 29, 41, 53, 65, ? (a) 78 (b) 76 (c) 89 (d) 77
  13. 13.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 14 (c) 17 (d) 15
  14. 14.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 14 (b) 19 (c) 15 (d) 22
  15. 15.What comes next? 39, 33, 27, 21, 15, ? (a) 9 (b) 3 (c) 8 (d) 10
  16. 16.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 51 (c) 52 (d) 49
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  18. 18.What comes next? 30, 36, 42, 48, 54, ? (a) 59 (b) 61 (c) 66 (d) 60
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  20. 20.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 17 (b) 22 (c) 16 (d) 21
  21. 21.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 19 (c) 22 (d) 20
  22. 22.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 43 (c) 41 (d) 42
  23. 23.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 20 (c) 19 (d) 21
  24. 24.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 57 (c) 65 (d) 58
  25. 25.What comes next? 26, 30, 34, 38, 42, ? (a) 47 (b) 50 (c) 45 (d) 46
  26. 26.What comes next? 14, 12, 10, 8, 6, ? (a) 5 (b) 2 (c) 4 (d) 3
  27. 27.What comes next? 17, 20, 23, 26, 29, ? (a) 33 (b) 31 (c) 32 (d) 35
  28. 28.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 38 (c) 40 (d) 39
  29. 29.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  30. 30.What comes next? 8, 13, 18, 23, 28, ? (a) 33 (b) 34 (c) 38 (d) 32
  31. 31.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 38 (c) 37 (d) 36
  32. 32.What comes next? 56, 48, 40, 32, 24, ? (a) 17 (b) 15 (c) 8 (d) 16
  33. 33.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 19 (d) 18
  34. 34.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 24 (b) 17 (c) 18 (d) 22
  35. 35.What comes next? 19, 26, 33, 40, 47, ? (a) 61 (b) 55 (c) 54 (d) 53
  36. 36.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 15 (c) 8 (d) 14
  37. 37.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 35 (c) 32 (d) 34
  38. 38.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 12 (c) 10 (d) 14
  39. 39.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 40 (c) 41 (d) 39
  40. 40.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 34 (d) 33

Answer key

  1. 31
  2. 20
  3. 162
  4. 243
  5. 58
  6. 14
  7. 9
  8. 43
  9. 26
  10. 192
  11. 6
  12. 77
  13. 15
  14. 15
  15. 9
  16. 50
  17. 81
  18. 60
  19. 128
  20. 17
  21. 20
  22. 42
  23. 20
  24. 57
  25. 46
  26. 4
  27. 32
  28. 38
  29. 96
  30. 33
  31. 36
  32. 16
  33. 19
  34. 18
  35. 54
  36. 14
  37. 33
  38. 10
  39. 40
  40. 34

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