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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 708 · 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? 5, 9, 13, 17, 21, ? (a) 29 (b) 26 (c) 24 (d) 25
  2. 2.What comes next? 13, 20, 14, 21, 15, 22, ? (a) 16 (b) 28 (c) 15 (d) 29
  3. 3.What comes next? 7, 13, 19, 25, 31, ? (a) 37 (b) 36 (c) 38 (d) 43
  4. 4.What comes next? 14, 17, 20, 23, 26, ? (a) 28 (b) 30 (c) 32 (d) 29
  5. 5.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 17 (b) 14 (c) 19 (d) 15
  6. 6.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 32 (c) 30 (d) 31
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  8. 8.What comes next? 2, 13, 24, 35, 46, ? (a) 56 (b) 58 (c) 57 (d) 68
  9. 9.What comes next? 68, 60, 52, 44, 36, ? (a) 27 (b) 20 (c) 28 (d) 29
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  11. 11.What comes next? 6, 13, 7, 14, 8, 15, ? (a) 9 (b) 22 (c) 21 (d) 8
  12. 12.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 20 (d) 21
  13. 13.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 37 (c) 35 (d) 34
  14. 14.What comes next? 67, 58, 49, 40, 31, ? (a) 21 (b) 13 (c) 22 (d) 23
  15. 15.What comes next? 27, 35, 43, 51, 59, ? (a) 68 (b) 66 (c) 67 (d) 75
  16. 16.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 200 (d) 161
  17. 17.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 1 (c) 3 (d) 2
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 240 (d) 193
  19. 19.What comes next? 18, 24, 23, 29, 28, 34, ? (a) 33 (b) 35 (c) 32 (d) 40
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  21. 21.What comes next? 10, 11, 13, 16, 20, ? (a) 26 (b) 27 (c) 24 (d) 25
  22. 22.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 12 (b) 25 (c) 24 (d) 11
  23. 23.What comes next? 54, 47, 40, 33, 26, ? (a) 12 (b) 20 (c) 19 (d) 18
  24. 24.What comes next? 51, 46, 41, 36, 31, ? (a) 25 (b) 26 (c) 27 (d) 21
  25. 25.What comes next? 41, 38, 35, 32, 29, ? (a) 27 (b) 25 (c) 26 (d) 23
  26. 26.What comes next? 8, 17, 16, 25, 24, 33, ? (a) 31 (b) 42 (c) 34 (d) 32
  27. 27.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 6 (d) 5
  28. 28.What comes next? 26, 29, 32, 35, 38, ? (a) 40 (b) 42 (c) 44 (d) 41
  29. 29.What comes next? 19, 22, 25, 28, 31, ? (a) 33 (b) 37 (c) 35 (d) 34
  30. 30.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 54 (c) 55 (d) 56
  31. 31.What comes next? 16, 28, 40, 52, 64, ? (a) 77 (b) 75 (c) 76 (d) 88
  32. 32.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 34 (c) 35 (d) 33
  33. 33.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 31 (c) 28 (d) 30
  34. 34.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 46 (c) 49 (d) 47
  35. 35.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  36. 36.What comes next? 37, 32, 27, 22, 17, ? (a) 7 (b) 13 (c) 12 (d) 11
  37. 37.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 26 (c) 24 (d) 23
  38. 38.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 29 (d) 30
  39. 39.What comes next? 16, 24, 32, 40, 48, ? (a) 55 (b) 64 (c) 56 (d) 57
  40. 40.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 27 (b) 32 (c) 28 (d) 35

Answer key

  1. 25
  2. 16
  3. 37
  4. 29
  5. 15
  6. 31
  7. 81
  8. 57
  9. 28
  10. 162
  11. 9
  12. 21
  13. 35
  14. 22
  15. 67
  16. 160
  17. 3
  18. 192
  19. 33
  20. 96
  21. 25
  22. 12
  23. 19
  24. 26
  25. 26
  26. 32
  27. 5
  28. 41
  29. 34
  30. 55
  31. 76
  32. 34
  33. 29
  34. 47
  35. 64
  36. 12
  37. 24
  38. 30
  39. 56
  40. 28

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