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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 926 · 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? 25, 21, 17, 13, 9, ? (a) 4 (b) 1 (c) 6 (d) 5
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  3. 3.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 25 (c) 26 (d) 24
  4. 4.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 19 (b) 22 (c) 20 (d) 24
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  6. 6.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 10 (c) 8 (d) 9
  7. 7.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 20 (b) 11 (c) 12 (d) 18
  8. 8.What comes next? 21, 23, 25, 27, 29, ? (a) 30 (b) 33 (c) 32 (d) 31
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  10. 10.What comes next? 7, 16, 12, 21, 17, 26, ? (a) 21 (b) 35 (c) 22 (d) 30
  11. 11.What comes next? 44, 41, 38, 35, 32, ? (a) 26 (b) 30 (c) 29 (d) 28
  12. 12.What comes next? 53, 46, 39, 32, 25, ? (a) 19 (b) 17 (c) 11 (d) 18
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  15. 15.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 37 (c) 40 (d) 39
  16. 16.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 19 (c) 20 (d) 21
  17. 17.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 35 (c) 33 (d) 32
  18. 18.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 31 (c) 30 (d) 29
  19. 19.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 5 (c) 7 (d) 1
  20. 20.What comes next? 29, 36, 43, 50, 57, ? (a) 71 (b) 65 (c) 64 (d) 63
  21. 21.What comes next? 3, 10, 7, 14, 11, 18, ? (a) 14 (b) 15 (c) 25 (d) 21
  22. 22.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 36 (d) 34
  23. 23.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 16 (b) 20 (c) 21 (d) 15
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  25. 25.What comes next? 6, 14, 22, 30, 38, ? (a) 46 (b) 54 (c) 45 (d) 47
  26. 26.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 38 (c) 36 (d) 39
  27. 27.What comes next? 5, 14, 13, 22, 21, 30, ? (a) 39 (b) 29 (c) 28 (d) 31
  28. 28.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 18 (d) 19
  29. 29.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 38 (c) 36 (d) 37
  30. 30.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 8 (c) 5 (d) 7
  31. 31.What comes next? 14, 22, 30, 38, 46, ? (a) 62 (b) 53 (c) 54 (d) 55
  32. 32.What comes next? 17, 21, 25, 29, 33, ? (a) 38 (b) 37 (c) 36 (d) 41
  33. 33.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 13 (c) 14 (d) 15
  34. 34.What comes next? 17, 26, 21, 30, 25, 34, ? (a) 29 (b) 39 (c) 43 (d) 28
  35. 35.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  36. 36.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 24 (b) 25 (c) 29 (d) 31
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  38. 38.What comes next? 29, 31, 33, 35, 37, ? (a) 38 (b) 41 (c) 40 (d) 39
  39. 39.What comes next? 19, 31, 43, 55, 67, ? (a) 78 (b) 91 (c) 80 (d) 79
  40. 40.What comes next? 52, 45, 38, 31, 24, ? (a) 18 (b) 10 (c) 17 (d) 16

Answer key

  1. 5
  2. 243
  3. 25
  4. 20
  5. 32
  6. 9
  7. 12
  8. 31
  9. 81
  10. 22
  11. 29
  12. 18
  13. 192
  14. 96
  15. 38
  16. 20
  17. 33
  18. 29
  19. 6
  20. 64
  21. 15
  22. 34
  23. 16
  24. 128
  25. 46
  26. 37
  27. 29
  28. 19
  29. 37
  30. 7
  31. 54
  32. 37
  33. 14
  34. 29
  35. 16
  36. 25
  37. 160
  38. 39
  39. 79
  40. 17

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