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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 989 · 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? 4, 9, 14, 19, 24, ? (a) 34 (b) 29 (c) 28 (d) 30
  2. 2.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 18 (c) 22 (d) 17
  3. 3.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 32 (b) 24 (c) 25 (d) 29
  4. 4.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 5 (c) 2 (d) 6
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  6. 6.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 22 (b) 17 (c) 16 (d) 19
  7. 7.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 20 (c) 18 (d) 19
  8. 8.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 36 (d) 35
  9. 9.What comes next? 41, 36, 31, 26, 21, ? (a) 17 (b) 15 (c) 11 (d) 16
  10. 10.What comes next? 49, 42, 35, 28, 21, ? (a) 15 (b) 13 (c) 14 (d) 7
  11. 11.What comes next? 59, 50, 41, 32, 23, ? (a) 13 (b) 15 (c) 14 (d) 5
  12. 12.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 22 (b) 23 (c) 33 (d) 35
  13. 13.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 20 (d) 19
  14. 14.What comes next? 16, 18, 20, 22, 24, ? (a) 28 (b) 25 (c) 26 (d) 27
  15. 15.What comes next? 10, 16, 22, 28, 34, ? (a) 46 (b) 39 (c) 40 (d) 41
  16. 16.What comes next? 26, 28, 30, 32, 34, ? (a) 37 (b) 35 (c) 38 (d) 36
  17. 17.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 31 (c) 33 (d) 30
  18. 18.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 33 (c) 35 (d) 32
  19. 19.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 39 (c) 37 (d) 36
  20. 20.What comes next? 46, 40, 34, 28, 22, ? (a) 16 (b) 10 (c) 17 (d) 15
  21. 21.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 40 (c) 41 (d) 38
  22. 22.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 33 (c) 30 (d) 31
  23. 23.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 2 (c) 3 (d) 4
  24. 24.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 37 (c) 38 (d) 35
  25. 25.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 15 (b) 16 (c) 24 (d) 29
  26. 26.What comes next? 47, 41, 35, 29, 23, ? (a) 16 (b) 18 (c) 11 (d) 17
  27. 27.What comes next? 4, 11, 8, 15, 12, 19, ? (a) 15 (b) 26 (c) 16 (d) 22
  28. 28.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 41 (c) 38 (d) 39
  29. 29.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  30. 30.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 53 (c) 52 (d) 54
  31. 31.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 13 (b) 19 (c) 17 (d) 12
  32. 32.What comes next? 56, 47, 38, 29, 20, ? (a) 2 (b) 12 (c) 11 (d) 10
  33. 33.What comes next? 9, 16, 23, 30, 37, ? (a) 43 (b) 45 (c) 51 (d) 44
  34. 34.What comes next? 22, 29, 36, 43, 50, ? (a) 64 (b) 56 (c) 58 (d) 57
  35. 35.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 16 (b) 20 (c) 15 (d) 21
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  37. 37.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 25 (b) 19 (c) 20 (d) 24
  38. 38.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 28 (c) 29 (d) 30
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  40. 40.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 22 (c) 21 (d) 19

Answer key

  1. 29
  2. 18
  3. 25
  4. 5
  5. 81
  6. 17
  7. 18
  8. 35
  9. 16
  10. 14
  11. 14
  12. 23
  13. 19
  14. 26
  15. 40
  16. 36
  17. 31
  18. 33
  19. 37
  20. 16
  21. 39
  22. 31
  23. 2
  24. 36
  25. 16
  26. 17
  27. 16
  28. 39
  29. 32
  30. 53
  31. 13
  32. 11
  33. 44
  34. 57
  35. 16
  36. 162
  37. 20
  38. 28
  39. 128
  40. 20

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