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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 698 · 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, 5, 9, 14, 20, ? (a) 29 (b) 27 (c) 28 (d) 26
  2. 2.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 46 (c) 48 (d) 47
  3. 3.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 25 (c) 24 (d) 23
  4. 4.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 23 (c) 19 (d) 24
  5. 5.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 1 (c) 4 (d) 2
  6. 6.What comes next? 52, 47, 42, 37, 32, ? (a) 26 (b) 27 (c) 28 (d) 22
  7. 7.What comes next? 28, 37, 46, 55, 64, ? (a) 74 (b) 82 (c) 72 (d) 73
  8. 8.What comes next? 10, 16, 22, 28, 34, ? (a) 39 (b) 46 (c) 40 (d) 41
  9. 9.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 44 (c) 43 (d) 42
  10. 10.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 44 (d) 46
  11. 11.What comes next? 13, 21, 16, 24, 19, 27, ? (a) 35 (b) 32 (c) 21 (d) 22
  12. 12.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 10 (c) 8 (d) 12
  13. 13.What comes next? 14, 21, 28, 35, 42, ? (a) 48 (b) 50 (c) 56 (d) 49
  14. 14.What comes next? 12, 19, 18, 25, 24, 31, ? (a) 30 (b) 32 (c) 38 (d) 29
  15. 15.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 10 (b) 17 (c) 11 (d) 19
  16. 16.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 14 (b) 8 (c) 15 (d) 7
  17. 17.What comes next? 16, 21, 26, 31, 36, ? (a) 40 (b) 46 (c) 41 (d) 42
  18. 18.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 28 (c) 27 (d) 26
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  20. 20.What comes next? 15, 18, 21, 24, 27, ? (a) 29 (b) 30 (c) 31 (d) 33
  21. 21.What comes next? 51, 44, 37, 30, 23, ? (a) 9 (b) 15 (c) 17 (d) 16
  22. 22.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 26 (d) 25
  23. 23.What comes next? 29, 40, 51, 62, 73, ? (a) 95 (b) 83 (c) 85 (d) 84
  24. 24.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  25. 25.What comes next? 11, 16, 21, 26, 31, ? (a) 37 (b) 36 (c) 35 (d) 41
  26. 26.What comes next? 34, 31, 28, 25, 22, ? (a) 18 (b) 16 (c) 19 (d) 20
  27. 27.What comes next? 32, 27, 22, 17, 12, ? (a) 8 (b) 6 (c) 7 (d) 2
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  29. 29.What comes next? 42, 37, 32, 27, 22, ? (a) 18 (b) 17 (c) 12 (d) 16
  30. 30.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 28 (b) 26 (c) 23 (d) 24
  31. 31.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 36 (d) 35
  32. 32.What comes next? 27, 29, 31, 33, 35, ? (a) 37 (b) 38 (c) 39 (d) 36
  33. 33.What comes next? 18, 27, 25, 34, 32, 41, ? (a) 50 (b) 39 (c) 43 (d) 38
  34. 34.What comes next? 18, 24, 30, 36, 42, ? (a) 47 (b) 54 (c) 48 (d) 49
  35. 35.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 22 (c) 24 (d) 23
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  38. 38.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 30 (b) 24 (c) 23 (d) 26
  39. 39.What comes next? 23, 32, 41, 50, 59, ? (a) 77 (b) 69 (c) 68 (d) 67
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162

Answer key

  1. 27
  2. 46
  3. 24
  4. 23
  5. 1
  6. 27
  7. 73
  8. 40
  9. 43
  10. 44
  11. 22
  12. 8
  13. 49
  14. 30
  15. 11
  16. 8
  17. 41
  18. 26
  19. 96
  20. 30
  21. 16
  22. 26
  23. 84
  24. 31
  25. 36
  26. 19
  27. 7
  28. 192
  29. 17
  30. 24
  31. 35
  32. 37
  33. 39
  34. 48
  35. 22
  36. 64
  37. 81
  38. 24
  39. 68
  40. 162

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