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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 973 · 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? 3, 7, 12, 18, 25, ? (a) 34 (b) 32 (c) 33 (d) 35
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  3. 3.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 16 (c) 19 (d) 21
  4. 4.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 33 (c) 36 (d) 35
  5. 5.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 41 (d) 43
  6. 6.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 30 (c) 29 (d) 27
  7. 7.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 24 (c) 25 (d) 22
  8. 8.What comes next? 20, 17, 14, 11, 8, ? (a) 5 (b) 6 (c) 4 (d) 2
  9. 9.What comes next? 15, 26, 37, 48, 59, ? (a) 70 (b) 81 (c) 69 (d) 71
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  11. 11.What comes next? 18, 28, 38, 48, 58, ? (a) 67 (b) 78 (c) 69 (d) 68
  12. 12.What comes next? 50, 42, 34, 26, 18, ? (a) 9 (b) 10 (c) 2 (d) 11
  13. 13.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 37 (c) 35 (d) 34
  14. 14.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 14 (b) 20 (c) 19 (d) 15
  15. 15.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 193 (d) 240
  16. 16.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  17. 17.What comes next? 11, 18, 13, 20, 15, 22, ? (a) 16 (b) 29 (c) 27 (d) 17
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  19. 19.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 31 (c) 28 (d) 30
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  21. 21.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 18 (b) 26 (c) 21 (d) 19
  22. 22.What comes next? 21, 25, 29, 33, 37, ? (a) 45 (b) 42 (c) 41 (d) 40
  23. 23.What comes next? 19, 25, 24, 30, 29, 35, ? (a) 36 (b) 33 (c) 41 (d) 34
  24. 24.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 17 (c) 16 (d) 18
  25. 25.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 17 (b) 4 (c) 3 (d) 16
  26. 26.What comes next? 30, 27, 24, 21, 18, ? (a) 14 (b) 12 (c) 15 (d) 16
  27. 27.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  28. 28.What comes next? 17, 24, 31, 38, 45, ? (a) 51 (b) 53 (c) 52 (d) 59
  29. 29.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 6 (c) 5 (d) 8
  30. 30.What comes next? 19, 26, 33, 40, 47, ? (a) 61 (b) 53 (c) 54 (d) 55
  31. 31.What comes next? 32, 29, 26, 23, 20, ? (a) 18 (b) 16 (c) 17 (d) 14
  32. 32.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 44 (c) 46 (d) 45
  33. 33.What comes next? 14, 18, 23, 29, 36, ? (a) 44 (b) 43 (c) 45 (d) 46
  34. 34.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 18 (c) 20 (d) 17
  35. 35.What comes next? 28, 35, 42, 49, 56, ? (a) 64 (b) 62 (c) 63 (d) 70
  36. 36.What comes next? 12, 23, 34, 45, 56, ? (a) 66 (b) 78 (c) 68 (d) 67
  37. 37.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 74 (c) 76 (d) 75
  38. 38.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 28 (c) 22 (d) 29
  39. 39.What comes next? 5, 9, 13, 17, 21, ? (a) 24 (b) 25 (c) 26 (d) 29
  40. 40.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 26 (c) 27 (d) 25

Answer key

  1. 33
  2. 162
  3. 17
  4. 34
  5. 41
  6. 28
  7. 23
  8. 5
  9. 70
  10. 243
  11. 68
  12. 10
  13. 35
  14. 15
  15. 192
  16. 30
  17. 17
  18. 81
  19. 29
  20. 128
  21. 19
  22. 41
  23. 34
  24. 16
  25. 4
  26. 15
  27. 34
  28. 52
  29. 6
  30. 54
  31. 17
  32. 45
  33. 44
  34. 18
  35. 63
  36. 67
  37. 75
  38. 22
  39. 25
  40. 25

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