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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 754 · 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? 2, 3, 5, 8, 12, ? (a) 18 (b) 17 (c) 19 (d) 16
  2. 2.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 19 (c) 20 (d) 21
  3. 3.What comes next? 56, 49, 42, 35, 28, ? (a) 20 (b) 21 (c) 22 (d) 14
  4. 4.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 10 (c) 5 (d) 9
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  7. 7.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 3 (d) 2
  8. 8.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 19 (b) 12 (c) 18 (d) 11
  9. 9.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 29 (c) 32 (d) 31
  10. 10.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 21 (b) 30 (c) 28 (d) 22
  11. 11.What comes next? 2, 13, 24, 35, 46, ? (a) 56 (b) 68 (c) 58 (d) 57
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  13. 13.What comes next? 16, 26, 36, 46, 56, ? (a) 65 (b) 66 (c) 76 (d) 67
  14. 14.What comes next? 8, 16, 10, 18, 12, 20, ? (a) 28 (b) 14 (c) 26 (d) 13
  15. 15.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 16 (c) 18 (d) 17
  16. 16.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 22 (c) 23 (d) 20
  17. 17.What comes next? 9, 15, 21, 27, 33, ? (a) 38 (b) 40 (c) 39 (d) 45
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  19. 19.What comes next? 12, 19, 14, 21, 16, 23, ? (a) 30 (b) 28 (c) 17 (d) 18
  20. 20.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 22 (d) 25
  21. 21.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 5 (c) 3 (d) 6
  22. 22.What comes next? 48, 44, 40, 36, 32, ? (a) 24 (b) 29 (c) 27 (d) 28
  23. 23.What comes next? 17, 23, 20, 26, 23, 29, ? (a) 25 (b) 32 (c) 26 (d) 35
  24. 24.What comes next? 55, 46, 37, 28, 19, ? (a) 11 (b) 1 (c) 10 (d) 9
  25. 25.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 46 (c) 45 (d) 48
  26. 26.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 28 (c) 27 (d) 29
  27. 27.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  28. 28.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 24 (c) 26 (d) 25
  29. 29.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 23 (c) 24 (d) 25
  30. 30.What comes next? 29, 36, 43, 50, 57, ? (a) 65 (b) 64 (c) 71 (d) 63
  31. 31.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 9 (c) 14 (d) 15
  32. 32.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 43 (c) 44 (d) 45
  33. 33.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 42 (c) 40 (d) 41
  34. 34.What comes next? 12, 18, 15, 21, 18, 24, ? (a) 20 (b) 27 (c) 21 (d) 30
  35. 35.What comes next? 34, 28, 22, 16, 10, ? (a) 4 (b) 5 (c) 3 (d) 6
  36. 36.What comes next? 63, 55, 47, 39, 31, ? (a) 24 (b) 22 (c) 15 (d) 23
  37. 37.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 16 (c) 17 (d) 14
  38. 38.What comes next? 29, 40, 51, 62, 73, ? (a) 85 (b) 84 (c) 83 (d) 95
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  40. 40.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120

Answer key

  1. 17
  2. 19
  3. 21
  4. 9
  5. 243
  6. 162
  7. 3
  8. 12
  9. 30
  10. 22
  11. 57
  12. 64
  13. 66
  14. 14
  15. 16
  16. 21
  17. 39
  18. 192
  19. 18
  20. 23
  21. 4
  22. 28
  23. 26
  24. 10
  25. 46
  26. 28
  27. 32
  28. 25
  29. 23
  30. 64
  31. 14
  32. 43
  33. 41
  34. 21
  35. 4
  36. 23
  37. 16
  38. 84
  39. 128
  40. 160

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