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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 773 · 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? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 42 (d) 40
  2. 2.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 54 (c) 49 (d) 50
  3. 3.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 32 (b) 30 (c) 29 (d) 36
  4. 4.What comes next? 29, 26, 23, 20, 17, ? (a) 11 (b) 14 (c) 13 (d) 15
  5. 5.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 9 (d) 13
  6. 6.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 29 (d) 32
  7. 7.What comes next? 67, 58, 49, 40, 31, ? (a) 23 (b) 22 (c) 21 (d) 13
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  9. 9.What comes next? 33, 30, 27, 24, 21, ? (a) 19 (b) 15 (c) 17 (d) 18
  10. 10.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 18 (b) 20 (c) 24 (d) 17
  11. 11.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 19 (b) 18 (c) 23 (d) 24
  12. 12.What comes next? 12, 19, 13, 20, 14, 21, ? (a) 14 (b) 28 (c) 27 (d) 15
  13. 13.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 22 (b) 34 (c) 23 (d) 27
  14. 14.What comes next? 13, 21, 19, 27, 25, 33, ? (a) 31 (b) 30 (c) 35 (d) 41
  15. 15.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  16. 16.What comes next? 26, 37, 48, 59, 70, ? (a) 82 (b) 92 (c) 80 (d) 81
  17. 17.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 21 (d) 20
  18. 18.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 7 (b) 18 (c) 8 (d) 20
  19. 19.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 33 (c) 30 (d) 28
  20. 20.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  21. 21.What comes next? 1, 10, 8, 17, 15, 24, ? (a) 21 (b) 22 (c) 26 (d) 33
  22. 22.What comes next? 18, 22, 26, 30, 34, ? (a) 38 (b) 39 (c) 42 (d) 37
  23. 23.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 24 (d) 22
  24. 24.What comes next? 40, 35, 30, 25, 20, ? (a) 14 (b) 10 (c) 15 (d) 16
  25. 25.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 34 (c) 35 (d) 36
  26. 26.What comes next? 17, 24, 31, 38, 45, ? (a) 59 (b) 52 (c) 51 (d) 53
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  28. 28.What comes next? 16, 26, 36, 46, 56, ? (a) 67 (b) 76 (c) 66 (d) 65
  29. 29.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 41 (c) 42 (d) 43
  30. 30.What comes next? 34, 30, 26, 22, 18, ? (a) 14 (b) 10 (c) 15 (d) 13
  31. 31.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 16 (b) 3 (c) 4 (d) 17
  32. 32.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 25 (c) 23 (d) 26
  33. 33.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 40 (c) 41 (d) 45
  34. 34.What comes next? 15, 24, 22, 31, 29, 38, ? (a) 47 (b) 36 (c) 40 (d) 35
  35. 35.What comes next? 12, 21, 16, 25, 20, 29, ? (a) 38 (b) 34 (c) 23 (d) 24
  36. 36.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 17 (d) 18
  37. 37.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 16 (b) 22 (c) 15 (d) 23
  38. 38.What comes next? 9, 18, 27, 36, 45, ? (a) 54 (b) 55 (c) 63 (d) 53
  39. 39.What comes next? 14, 18, 22, 26, 30, ? (a) 33 (b) 35 (c) 34 (d) 38
  40. 40.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 30 (c) 36 (d) 31

Answer key

  1. 40
  2. 50
  3. 30
  4. 14
  5. 9
  6. 30
  7. 22
  8. 162
  9. 18
  10. 18
  11. 19
  12. 15
  13. 23
  14. 31
  15. 128
  16. 81
  17. 21
  18. 8
  19. 29
  20. 64
  21. 22
  22. 38
  23. 22
  24. 15
  25. 34
  26. 52
  27. 81
  28. 66
  29. 42
  30. 14
  31. 4
  32. 24
  33. 41
  34. 36
  35. 24
  36. 17
  37. 16
  38. 54
  39. 34
  40. 31

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