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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 974 · 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? 3, 7, 11, 15, 19, ? (a) 22 (b) 27 (c) 23 (d) 24
  2. 2.What comes next? 61, 52, 43, 34, 25, ? (a) 7 (b) 16 (c) 15 (d) 17
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  5. 5.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 7 (c) 4 (d) 8
  6. 6.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 28 (b) 32 (c) 27 (d) 35
  7. 7.What comes next? 27, 36, 45, 54, 63, ? (a) 81 (b) 71 (c) 72 (d) 73
  8. 8.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 24 (c) 25 (d) 23
  9. 9.What comes next? 58, 50, 42, 34, 26, ? (a) 18 (b) 17 (c) 10 (d) 19
  10. 10.What comes next? 13, 22, 17, 26, 21, 30, ? (a) 39 (b) 35 (c) 24 (d) 25
  11. 11.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 30 (c) 31 (d) 33
  12. 12.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 18 (c) 19 (d) 17
  13. 13.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 4 (c) 5 (d) 6
  14. 14.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 24 (b) 25 (c) 33 (d) 31
  15. 15.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 30 (b) 34 (c) 28 (d) 27
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  17. 17.What comes next? 42, 37, 32, 27, 22, ? (a) 12 (b) 18 (c) 16 (d) 17
  18. 18.What comes next? 8, 19, 30, 41, 52, ? (a) 63 (b) 64 (c) 62 (d) 74
  19. 19.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 19 (b) 18 (c) 12 (d) 11
  20. 20.What comes next? 18, 26, 22, 30, 26, 34, ? (a) 42 (b) 30 (c) 38 (d) 29
  21. 21.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 11 (c) 10 (d) 2
  22. 22.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 8 (c) 6 (d) 7
  23. 23.What comes next? 57, 50, 43, 36, 29, ? (a) 21 (b) 23 (c) 15 (d) 22
  24. 24.What comes next? 15, 19, 24, 30, 37, ? (a) 46 (b) 47 (c) 44 (d) 45
  25. 25.What comes next? 46, 38, 30, 22, 14, ? (a) 6 (b) 8 (c) 7 (d) 5
  26. 26.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 21 (c) 20 (d) 19
  27. 27.What comes next? 43, 38, 33, 28, 23, ? (a) 17 (b) 19 (c) 13 (d) 18
  28. 28.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  29. 29.What comes next? 6, 16, 26, 36, 46, ? (a) 55 (b) 66 (c) 56 (d) 57
  30. 30.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 17 (b) 28 (c) 24 (d) 18
  31. 31.What comes next? 26, 30, 34, 38, 42, ? (a) 50 (b) 47 (c) 45 (d) 46
  32. 32.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 9 (c) 2 (d) 8
  33. 33.What comes next? 6, 14, 11, 19, 16, 24, ? (a) 27 (b) 20 (c) 32 (d) 21
  34. 34.What comes next? 18, 22, 26, 30, 34, ? (a) 42 (b) 37 (c) 38 (d) 39
  35. 35.What comes next? 14, 21, 28, 35, 42, ? (a) 56 (b) 49 (c) 50 (d) 48
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  37. 37.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 23 (c) 22 (d) 20
  38. 38.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 18 (c) 17 (d) 19
  39. 39.What comes next? 67, 59, 51, 43, 35, ? (a) 28 (b) 19 (c) 26 (d) 27
  40. 40.What comes next? 1, 10, 5, 14, 9, 18, ? (a) 13 (b) 23 (c) 27 (d) 12

Answer key

  1. 23
  2. 16
  3. 162
  4. 243
  5. 7
  6. 28
  7. 72
  8. 23
  9. 18
  10. 25
  11. 31
  12. 18
  13. 4
  14. 25
  15. 28
  16. 128
  17. 17
  18. 63
  19. 12
  20. 30
  21. 11
  22. 6
  23. 22
  24. 45
  25. 6
  26. 20
  27. 18
  28. 16
  29. 56
  30. 18
  31. 46
  32. 8
  33. 21
  34. 38
  35. 49
  36. 81
  37. 21
  38. 17
  39. 27
  40. 13

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