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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 800 · 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? 16, 19, 23, 28, 34, ? (a) 41 (b) 40 (c) 42 (d) 43
  2. 2.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 6 (c) 5 (d) 2
  3. 3.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 25 (c) 28 (d) 26
  4. 4.What comes next? 7, 16, 25, 34, 43, ? (a) 61 (b) 51 (c) 53 (d) 52
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  6. 6.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 42 (c) 41 (d) 46
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  8. 8.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 34 (c) 36 (d) 35
  9. 9.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 34 (c) 37 (d) 35
  10. 10.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 15 (b) 6 (c) 13 (d) 7
  11. 11.What comes next? 24, 35, 46, 57, 68, ? (a) 78 (b) 80 (c) 90 (d) 79
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  13. 13.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 20 (b) 22 (c) 19 (d) 24
  14. 14.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 48 (c) 46 (d) 45
  15. 15.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 14 (c) 22 (d) 23
  16. 16.What comes next? 55, 50, 45, 40, 35, ? (a) 30 (b) 29 (c) 31 (d) 25
  17. 17.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 16 (c) 14 (d) 15
  18. 18.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 36 (c) 35 (d) 34
  19. 19.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 8 (c) 13 (d) 12
  20. 20.What comes next? 2, 4, 6, 8, 10, ? (a) 12 (b) 13 (c) 11 (d) 14
  21. 21.What comes next? 17, 22, 21, 26, 25, 30, ? (a) 28 (b) 35 (c) 29 (d) 31
  22. 22.What comes next? 2, 9, 16, 23, 30, ? (a) 37 (b) 38 (c) 44 (d) 36
  23. 23.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 17 (c) 18 (d) 16
  24. 24.What comes next? 16, 23, 30, 37, 44, ? (a) 52 (b) 51 (c) 50 (d) 58
  25. 25.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 12 (c) 10 (d) 11
  26. 26.What comes next? 12, 22, 32, 42, 52, ? (a) 63 (b) 61 (c) 62 (d) 72
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  29. 29.What comes next? 4, 11, 6, 13, 8, 15, ? (a) 22 (b) 10 (c) 9 (d) 20
  30. 30.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 24 (c) 26 (d) 23
  31. 31.What comes next? 17, 19, 21, 23, 25, ? (a) 27 (b) 29 (c) 26 (d) 28
  32. 32.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 20 (b) 22 (c) 15 (d) 16
  33. 33.What comes next? 49, 41, 33, 25, 17, ? (a) 10 (b) 8 (c) 9 (d) 1
  34. 34.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 38 (c) 36 (d) 39
  35. 35.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 35 (c) 32 (d) 34
  36. 36.What comes next? 3, 11, 6, 14, 9, 17, ? (a) 11 (b) 12 (c) 25 (d) 22
  37. 37.What comes next? 13, 20, 27, 34, 41, ? (a) 47 (b) 55 (c) 48 (d) 49
  38. 38.What comes next? 47, 42, 37, 32, 27, ? (a) 21 (b) 17 (c) 22 (d) 23
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  40. 40.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 85 (c) 96 (d) 83

Answer key

  1. 41
  2. 6
  3. 25
  4. 52
  5. 243
  6. 42
  7. 32
  8. 34
  9. 35
  10. 7
  11. 79
  12. 64
  13. 20
  14. 46
  15. 22
  16. 30
  17. 15
  18. 34
  19. 12
  20. 12
  21. 29
  22. 37
  23. 17
  24. 51
  25. 11
  26. 62
  27. 96
  28. 81
  29. 10
  30. 24
  31. 27
  32. 16
  33. 9
  34. 37
  35. 33
  36. 12
  37. 48
  38. 22
  39. 192
  40. 84

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