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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 702 · 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? 8, 15, 22, 29, 36, ? (a) 50 (b) 42 (c) 44 (d) 43
  2. 2.What comes next? 46, 38, 30, 22, 14, ? (a) 8 (b) 6 (c) 7 (d) 5
  3. 3.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 23 (d) 21
  4. 4.What comes next? 55, 47, 39, 31, 23, ? (a) 16 (b) 14 (c) 7 (d) 15
  5. 5.What comes next? 29, 32, 35, 38, 41, ? (a) 44 (b) 47 (c) 43 (d) 45
  6. 6.What comes next? 4, 11, 7, 14, 10, 17, ? (a) 24 (b) 21 (c) 12 (d) 13
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  8. 8.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 35 (b) 30 (c) 23 (d) 24
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  10. 10.What comes next? 34, 30, 26, 22, 18, ? (a) 10 (b) 15 (c) 13 (d) 14
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  12. 12.What comes next? 29, 35, 41, 47, 53, ? (a) 58 (b) 59 (c) 60 (d) 65
  13. 13.What comes next? 2, 11, 6, 15, 10, 19, ? (a) 13 (b) 14 (c) 24 (d) 28
  14. 14.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 24 (c) 27 (d) 29
  15. 15.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 39 (c) 42 (d) 41
  16. 16.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 4 (c) 1 (d) 2
  17. 17.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  18. 18.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 9 (c) 15 (d) 13
  19. 19.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 14 (c) 12 (d) 11
  20. 20.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 16 (b) 12 (c) 11 (d) 17
  21. 21.What comes next? 19, 27, 35, 43, 51, ? (a) 59 (b) 67 (c) 58 (d) 60
  22. 22.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34
  23. 23.What comes next? 41, 37, 33, 29, 25, ? (a) 17 (b) 20 (c) 21 (d) 22
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  25. 25.What comes next? 19, 26, 25, 32, 31, 38, ? (a) 45 (b) 36 (c) 39 (d) 37
  26. 26.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 41 (c) 43 (d) 40
  27. 27.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 33 (c) 31 (d) 32
  28. 28.What comes next? 21, 24, 27, 30, 33, ? (a) 37 (b) 36 (c) 35 (d) 39
  29. 29.What comes next? 14, 18, 22, 26, 30, ? (a) 34 (b) 38 (c) 33 (d) 35
  30. 30.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 11 (b) 5 (c) 12 (d) 4
  31. 31.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 33 (c) 32 (d) 34
  32. 32.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 36 (d) 35
  33. 33.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 19 (b) 20 (c) 22 (d) 27
  34. 34.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 53 (c) 54 (d) 55
  35. 35.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 24 (c) 25 (d) 26
  36. 36.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 22 (d) 25
  37. 37.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  38. 38.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 28 (c) 31 (d) 30
  39. 39.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  40. 40.What comes next? 37, 31, 25, 19, 13, ? (a) 6 (b) 8 (c) 7 (d) 1

Answer key

  1. 43
  2. 6
  3. 21
  4. 15
  5. 44
  6. 13
  7. 162
  8. 24
  9. 128
  10. 14
  11. 81
  12. 59
  13. 14
  14. 25
  15. 40
  16. 1
  17. 3
  18. 14
  19. 13
  20. 12
  21. 59
  22. 33
  23. 21
  24. 243
  25. 37
  26. 41
  27. 32
  28. 36
  29. 34
  30. 5
  31. 32
  32. 36
  33. 20
  34. 54
  35. 25
  36. 23
  37. 16
  38. 29
  39. 32
  40. 7

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