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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 987 · 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? 8, 12, 16, 20, 24, ? (a) 27 (b) 32 (c) 29 (d) 28
  2. 2.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 40 (c) 38 (d) 39
  3. 3.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 37 (d) 35
  4. 4.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 29 (c) 30 (d) 28
  5. 5.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 16 (b) 23 (c) 17 (d) 24
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  8. 8.What comes next? 9, 16, 23, 30, 37, ? (a) 45 (b) 51 (c) 44 (d) 43
  9. 9.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 1 (c) 4 (d) 3
  10. 10.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 55 (c) 56 (d) 54
  11. 11.What comes next? 26, 38, 50, 62, 74, ? (a) 85 (b) 98 (c) 87 (d) 86
  12. 12.What comes next? 15, 24, 17, 26, 19, 28, ? (a) 35 (b) 21 (c) 37 (d) 20
  13. 13.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  14. 14.What comes next? 11, 14, 18, 23, 29, ? (a) 37 (b) 38 (c) 35 (d) 36
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  16. 16.What comes next? 5, 10, 15, 20, 25, ? (a) 30 (b) 35 (c) 29 (d) 31
  17. 17.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 50 (c) 49 (d) 52
  18. 18.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 24 (b) 17 (c) 18 (d) 22
  19. 19.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 42 (c) 39 (d) 40
  20. 20.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 29 (b) 40 (c) 32 (d) 30
  21. 21.What comes next? 12, 17, 22, 27, 32, ? (a) 36 (b) 38 (c) 37 (d) 42
  22. 22.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  23. 23.What comes next? 29, 26, 23, 20, 17, ? (a) 15 (b) 11 (c) 14 (d) 13
  24. 24.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  25. 25.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 26 (c) 28 (d) 29
  26. 26.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 32 (c) 31 (d) 30
  27. 27.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 3 (c) 6 (d) 4
  28. 28.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 27 (b) 23 (c) 22 (d) 31
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  30. 30.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 30 (b) 24 (c) 32 (d) 23
  31. 31.What comes next? 10, 21, 32, 43, 54, ? (a) 66 (b) 64 (c) 65 (d) 76
  32. 32.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 36 (c) 37 (d) 39
  33. 33.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  34. 34.What comes next? 7, 9, 11, 13, 15, ? (a) 17 (b) 18 (c) 16 (d) 19
  35. 35.What comes next? 38, 32, 26, 20, 14, ? (a) 9 (b) 2 (c) 7 (d) 8
  36. 36.What comes next? 5, 14, 23, 32, 41, ? (a) 50 (b) 51 (c) 59 (d) 49
  37. 37.What comes next? 38, 34, 30, 26, 22, ? (a) 17 (b) 19 (c) 18 (d) 14
  38. 38.What comes next? 20, 29, 38, 47, 56, ? (a) 66 (b) 65 (c) 64 (d) 74
  39. 39.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 41 (c) 40 (d) 42
  40. 40.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 28 (d) 31

Answer key

  1. 28
  2. 38
  3. 35
  4. 29
  5. 17
  6. 243
  7. 32
  8. 44
  9. 2
  10. 55
  11. 86
  12. 21
  13. 16
  14. 36
  15. 81
  16. 30
  17. 50
  18. 18
  19. 40
  20. 30
  21. 37
  22. 192
  23. 14
  24. 160
  25. 27
  26. 30
  27. 4
  28. 23
  29. 162
  30. 24
  31. 65
  32. 37
  33. 18
  34. 17
  35. 8
  36. 50
  37. 18
  38. 65
  39. 41
  40. 29

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